Answer:
I'll say x = 8
Step-by-step explanation:
because Simplifying
2x + -3 = 3x + -11
Reorder the terms:
-3 + 2x = 3x + -11
Reorder the terms:
-3 + 2x = -11 + 3x
Solving
-3 + 2x = -11 + 3x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-3x' to each side of the equation.
-3 + 2x + -3x = -11 + 3x + -3x
Combine like terms: 2x + -3x = -1x
-3 + -1x = -11 + 3x + -3x
Combine like terms: 3x + -3x = 0
-3 + -1x = -11 + 0
-3 + -1x = -11
Add '3' to each side of the equation.
-3 + 3 + -1x = -11 + 3
Combine like terms: -3 + 3 = 0
0 + -1x = -11 + 3
-1x = -11 + 3
Combine like terms: -11 + 3 = -8
-1x = -8
Divide each side by '-1'.
x = 8
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{ - 4x - 14}}}}}[/tex]
Step-by-step explanation:
[tex] \sf{2x - x - (2x + 3) - 3x - 11}[/tex]
When there is a ( - ) in front of parentheses in an expression, change the sign of each term
⇒[tex] \sf{2x - x - 2x - 3 - 3x - 11}[/tex]
Collect like terms
⇒[tex] \sf{2x - x - 2x - 3x - 3 - 11}[/tex]
Since the terms having opposite signs adds up to zero, remove them from the expression
⇒[tex] \sf{ - x - 3x - 3 - 11}[/tex]
⇒[tex] \sf {- 4x - 14}[/tex]
Hope I helped!
Best regards!!
Find the area of a TV screen with a width = 40 inches and height = 32 inches
1280 sq inches
1500 sq inches
1800 sq inches
2000 sq inches
Answer:
1280 sq inches
Step-by-step explanation:
A = LW
A = 40 in. * 32 in.
A = 1280 sq inches
Answer:
The answer is option AStep-by-step explanation:
Since the TV screen is a rectangle
Area of a rectangle = l × w
where
l is the length / height
w is the width
From the question
height = 32 inches
width = 40 inches
Substitute the values into the above formula
That's
Area of TV screen = 32 × 40
We have the answer as
1280 square inchesHope this helps you
what is the degree of the term 96?
Can somebody please help me find the surface area of this shape
Answer:
The surface area is 7600
I would really appreciate brainliest!
Step-by-step explanation:
L=Ph
L=(40x2 50x2) 20
L=3600
S= L+2B
S=3600 +2(40x50)
S= 3600+4000
S= 7600
Answer: Hi!
There are three different rectangles that make up this closed box. We need to calculate the area of them to find the surface area of this shape. Here are the measurements:
Rectangle 1: 40 * 20
Rectangle 2: 50 * 20
Rectangle 3: 50 * 40
Note that there are two of each type of rectangle, so when we are done calculating the area of each rectangle we will multiply each by 2.
Rectangle 1: 40 * 20 = 800(2) = 1600
Rectangle 2: 50 * 20 = 1000(2) = 2000
Rectangle 3: 50 * 40 = 2000(2) - 4000
Now, we add the areas together: 1600 + 2000 + 4000 = 7600
The surface area of this closed box is 7600cm squared.
Hope this helps!
Use the inequalitiy (x+1)(x-3)(x-7)(x+6)>0 what is the solution
Hello, to find the sign of the product we use the following rules.
- by + is -
"The enemy of my friend is an enemy."
+ by - is -
"The friend of my enemy is an enemy."
- by - is +
"The enemy of my enemy is a friend."
+ by + is +
"The friend of my friend is a friend."
We can build the following array.
[tex]f(x)=(x+1)(x-3)(x-7)(x+6)[/tex]
[tex]\begin{array}{|c|ccccccccc}x &-\infty & -6 & & -1 & & 3 & & 7 & +\infty\\---&---&---&---&---&---&---&---&---&---\\(x+1)&-&-5&-&0&+&4&+&8&+\\(x-3)&-&-9&-&-4&-&0&+&5&+\\(x-7)&-&-13&-&-8&-&-4&-&0&+\\(x+6)&-&0&+&5&+&9&+&13&+\\---&---&---&---&---&---&---&---&---&---\\f(x)&+&0&-&0&+&0&-&0&+\\\end{array}[/tex]
So f(x) > 0 <=> x < -6 or -1 < x < 3 or x > 7
Thank you
PLEASE HELP! I Will Give You 20 POINTS!! Solve with absolute value. -|12-3.5x|=-5
Answer:
2 and 4 6/7
Step-by-step explanation:
- |12 - 3.5x| = -5 ⇒ cancelling negative signs|12 - 3.5x| = 512 - 3.5x = ± 5 ⇒ getting rid of absolute1. First equation
12 -3.5x = 53.5x = 12 -53.5x = 7x = 7/3.5x= 22. Second equation
12 - 3.5x = -53.5x = 12 +53.5x = 17x= 17/3.5x= 34/7 x= 4 6/7HELPPP ON THESE TWO PROBLEMS!
Simplify (2n-2)(n+3) + (n+2)(n-6).
The equation y = -6t^2 - 10t + 56 describes the height (in feet) of a ball thrown downward at 10 feet per second from a height of 56 feet from the surface from Mars. In how many seconds will the ball hit the ground? Express your answer as a decimal rounded to the nearest hundredth.
Answer:
3n^(2) - 18
Step-by-step explanation:
The Bowman family has $215,322 in assets and $182,009 in liabilities. What
is the net worth of the Bowman family?
A -$33,313
B $397, 331
C $33,313
D $215,322
The temperature in San Diego, California is 5 degrees warmer than twice the temperature in Boise, Idaho. The temperature in San Diego is 61 degrees. Write an equation to determine the temperature in Boise.
Answer:
2x + 5 = 61
Step-by-step explanation:
Let x be equal to the temperature in Boise.
Since the temperature in San Diego is 5 degrees warmer than twice the temperature in Boise, we must double the temperature in Boise and then add 5 degrees. To do this we put a 2 in front of the x and then add 5 to that.
2x + 5
Since we know the temperature in San Diego is 61 we can make the equation equal to 61.
2x + 5 = 61
Select the choice that translates the following verbal phrase correctly to algebra: (2 points) the product of 12 and y increased by 11 12y + 11 12(y + 11) 12(11y) 12+ 11y
The correct answer is A. 12y + 11
Explanation:
In mathematics, the word "product" is mainly used to refer to multiplication. For example, the product of 5 and 2 is 10 as 5 x 2 = 10. This means, the section "the product of 12 and y" means 12 needs to be multiplied by y, which can be expressed as 12y. Additionally, the word "increased" refers to addition, which means 11 needs to be added to 12y. This means the final expression is 12y + 11, and therefore the correct answer is the first one or option A.
Answer: the answer is 12y + 11
Step-by-step explanation:
i too the test and got a 100
In what direction is the line containing the point (5, 4) and (-2, 4) going?
O A. vertical
O B. up and to the right
O c. horizontal
D. down and to the right
Write an equation in point slope form for the line through the given point with the given slope. (4,-6);m=3/5
Answer:
y+6 = 3/5(x-4)
Step-by-step explanation:
Point slope form is
y-y1 = m(x-x1)
where m is the slope and (x1,y1) is a point on the line
y --6 = 3/5( x-4)
y+6 = 3/5(x-4)
the sum of 81 and a number is greater than 4 times the same number
Answer: The number has to be less than 27.
Step-by-step explanation:
81 + n > 4n
-n -n
81 > 3n
n<27
A basketball court is 94 feet by 50 feet. Eight fans ca
fit next to each other in a 3 ft. by 3 ft. area. How
many kids would you estimate can fit side by side
over the entire floor?
Answer:
The entire floor can contain approximately 4178 fans
Step-by-step explanation:
The first step is to calculate the area of the basketball floor.
we can do this by multiplying the length by the breadth as such 94 X 50 = 4700 square feet.
The second step is to calculate the area occupied by 8 of the fans. We can do this by multiplying 3 ft by 3ft = 9 square feet.
From this, it will be easier to estimate the area occupied by only one fan. This can be got by dividing 9 square feet by 8.
This is = 1.125 square feet.
To get the number of students it can occupy, we divide the total area of the court by the area occupied by one student.
4700/ 1.125 =4177.8 [tex]\approx[/tex] 4178 fans
sara quiere guardar 48 manzanas y 36 duraznos en cajas con el mismo numero de frutas de cada tipo en cada caja cuantas cuantas frutas pude guardar teniendio en cuenta que nesecita el mayor numero de cajas posibles
Answer:
Se requiere 12 cajas con 4 manzanas y 3 duraznos cada una.
Step-by-step explanation:
Se requiere el menor número posible de manzanas y duraznos para obtener el mayor número de cajas. Puesto que no se considera cortar fruta alguna en porciones y sabiendo que hay más manzanas que duraznos, se determina la razón mínima de manzanas por duraznos:
[tex]x = \frac{48\,manzanas}{36\,duraznos}[/tex]
[tex]x = \frac{4 manzanas}{3\,duraznos}[/tex]
Se requiere 4 manzanas por cada 3 duraznos. Entonces, cada caja debe contener 3 duraznos y 4 manzanas. El número máximo de cajas es:
[tex]n = \frac{48\,manzanas}{4\,\frac{manzanas}{caja} } = \frac{36\,duraznos}{3\,\frac{duraznos}{caja} }[/tex]
[tex]n = 12\,cajas[/tex]
Se requiere 12 cajas con 4 manzanas y 3 duraznos cada una.
The formula below represents Celsius temperature C as a function of Fahrenheit temperature F.
C (F) = 5/9 (F - 32), where F greaterthanorequalto -459.6
(a) Find the inverse function of C.
(b) What does the inverse function of C represent?
A. The inverse represents the temperature F corresponding to a temperature C.
B. The inverse represents the temperature 1/C corresponding to a temperature C.
C. The inverse represents the temperature 1/F corresponding to a temperature C.
D. The inverse represents the temperature C corresponding to a temperature F.
(c) Determine the domain of the inverse function.
a. all real numbers
b. C greaterthanorequalto 0
c. C lessthanorequalto -273.1
d. C greaterthanorequalto -273.1
(d) If the temperature is 90 degree C, what is the corresponding temperature in degrees Fahrenheit?
Answer:
The inverse represents the temperature F corresponding to a temperature C.
The domain of the inverse function is all real numbers.
194°F
Step-by-step explanation:
Let C= y
y= 5/9 (F - 32),
F= 9/5y + 32
But y= C, hence;
F= 9/5 C +32
The inverse represents the temperature F corresponding to a temperature C.
Given;
F= 9/5 C +32
The domain of the inverse function is all real numbers.
Given C= 90°
F= 9/5 C +32
F= 9/5 (90°) +32
F= 194°F
write the desimale 3.17 in word form
Answer:
There are multiple ways this can be said :
Three and seventeen hundredthsThree-point seventeenThree-point one sevenHURRY Find the domain and range ( 2,3), ( -2, 4), ( 4, 8) , ( -2, 5)
Answer:
See below :)
Step-by-step explanation:
Given ordered pairs :
( 2 , 3 ) , ( - 2 , 4 ) , ( 4 , 8 ) , ( - 2 , 5 )
Domain is the set of all x -coordinates in the set of ordered pairs.
( 2 , 3 ) , ( -2 , 4 ) , ( 4 , 8 ) , ( -2 , 5 )
List them :
Domain = { - 2 , 2 , 4 )
Range is the set of all y - coordinates in the set of ordered pairs.
( 2 , 3 ) , ( - 2 , 4 ) , ( 4 , 8 ) , ( - 2 , 5 )
List them :
Range = { 3 , 4 , 5 , 8 }
Hope I helped !
Best regards!!
f(x) =x + 3/2
For the function f defined above, what is the value of f(-1)
Answer:
0.5
Step-by-step explanation:
Plug in -1 as x into the function:
f(-1) = -1 + 3/2
f(-1) = 0.5
[tex]\bf \underline{ \underline{Given : }}[/tex]
f(x) =x + 3/2
[tex]\bf \underline{ \underline{To \: be \: calculated : }}[/tex]
what is the value of f(-1) ?
[tex] \bf \underline{ \underline{Solution : }}[/tex]
[tex] \sf{f(x) = x + \dfrac{3}{2} }[/tex]
[tex] \rightarrow \sf {f( - 1) = ( - 1) + \dfrac{3}{2} }[/tex]
[tex] \rightarrow \sf{f( - 1) = \dfrac{ - 2 + 3}{2} }[/tex]
[tex] \rightarrow \sf{f( - 1) = \dfrac{ 1}{2} }[/tex]
[tex] \rightarrow \sf {f( - 1) = 0.5}[/tex]
Find the equation of the line with slope −5 and that contains the point (−9,−5). Write the equation in the form y=mx+b and identify m and b. Find the equation of the line that contains the points (2,4) and (10,2). Write the equation in the form y=mx+b and identify m and b.
Answer & Step-by-step explanation:
Slope-intercept form:
[tex]y=mx+b[/tex]
m is the slope and b is the y-intercept. Insert the given slope:
[tex]y=-5x+b[/tex]
To find the y-intercept, take the given coordinate point and insert:
[tex](-9_{x},-5_{y})\\\\-5=-5(-9)+b[/tex]
Solve for b:
Simplify multiplication:
[tex]-5=45+b[/tex]
Subtract 45 from both sides:
[tex]-50=b\\\\b=-50[/tex]
The y-intercept is -50. Insert:
[tex]y=-5x-50[/tex]
[tex]m=-5\\b=-50[/tex]
Use the slope formula for when you have two points:
[tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}=\frac{rise}{run}[/tex]
The slope is the change in the y-axis over the change in the x-axis, or rise over run. Insert the points:
[tex](2_{x1},4_{y1})\\(10_{x2},2_{y2})[/tex]
[tex]\frac{2-4}{10-2}=\frac{-2}{8}=-\frac{2}{8}=-\frac{1}{4}[/tex]
The slope is [tex]-\frac{1}{4}[/tex] . Insert:
[tex]y=-\frac{1}{4}x+b[/tex]
Now follow the steps from the last problem to find the y-intercept. Choose a point and insert into the equation:
[tex](2_{x},4_{y})\\\\4=-\frac{1}{4}(2)+b[/tex]
Solve for b:
Simplify multiplication:
[tex]-\frac{1}{4}*\frac{2}{1}=-\frac{2}{4}=-\frac{1}{2}[/tex]
Re-insert:
[tex]4=-\frac{1}{2} +b[/tex]
Subtract b from both sides:
[tex]4-b=-\frac{1}{2} +b-b\\\\4-b=-\frac{1}{2}[/tex]
Subtract 4 from both sides:
[tex]4-4-b=-\frac{1}{2}-4\\\\-b=-\frac{1}{2}-4[/tex]
Simplify subtraction:
[tex]-\frac{1}{2}-4=-\frac{1}{2} -\frac{4}{1} =-\frac{1}{2} -\frac{8}{2} \\\\-\frac{1}{2} -\frac{8}{2}=-\frac{9}{2}[/tex]
Re-insert:
[tex]-b=-\frac{9}{2}[/tex]
Divide both sides by -1 to make the variable positive (can be seen as -1b):
[tex]b=\frac{9}{2}[/tex]
The y-intercept is [tex]\frac{9}{2}[/tex] .
Write the equation:
[tex]y=-\frac{1}{4}x+\frac{9}{2}[/tex]
:Done
2.
Suppose the population of kangaroos in a different province of Australia is modeled by
the following, with t = 0 representing the year 2020:
P() = 76(0.92)
a.) Using a calculator, find P(10) and interpret it in the context of the problem. Be
specific.
b.) What is happening to the population of kangaroos in this problem? What specific value
in the equation causes this? By what percentage is the kangaroo population decreasing
each year?
c.) As the value of t increases to very large numbers, do you think this model will be
realistic? Explain. Using a calculator, find P(100) to help support your answer.
Answer:
a) 30 kangaroos in 2030
b) decreasing 8% per year
c) large t results in fractional kangaroos: P(100) ≈ 1/55 kangaroo
Step-by-step explanation:
We assume your equation is supposed to be ...
P(t) = 76(0.92^t)
__
a) P(10) = 76(0.92^10) = 76(0.4344) = 30.01 ≈ 30
In the year 2030, the population of kangaroos in the province is modeled to be 30.
__
b) The population is decreasing. The base 0.92 of the exponent t is the cause. The population is changing by 0.92 -1 = -0.08 = -8% each year.
The population is decreasing by 8% each year.
__
c) The model loses its value once the population drops below 1/2 kangaroo. For large values of t, it predicts only fractional kangaroos, hence is not realistic.
P(100) = 75(0.92^100) = 76(0.0002392)
P(100) ≈ 0.0182, about 1/55th of a kangaroo
You decide to take three part-time jobs: Work at a convenience store 60% of your time, and earn $11.00 an hour. Referee games at your city park 25% of your time, and earn $19.00 an hour. Do your elderly neighbor’s housework 15% of your time, and earn $16.00 an hour. What will your average hourly wage be? Enter your answer up to two decimal places. its on edmentum
Answer:
13.75
Step-by-step explanation:
The expected value of the hourly wage is the sum of the probabilities (percentage of time spent on each job) multiplied by the payoff (money earned) from each possible occurrence (job): 0.6 × 11 + 0.25 × 19 + 0.15 × 16 = $13.75.
The average hourly wage will be equal to 13.75 hours.
What is an average?An average is a single number chosen to represent a group of numbers; it is often the sum of the numbers divided by the number of numbers in the group.
Probability is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.
Given that work at a convenience store 60% of your time, and earn $11.00 an hour. Referee games at your city park 25% of your time, and earn $19.00 an hour. Do your elderly neighbor’s housework 15% of your time, and earn $16.00 an hour.
The expected value of the hourly wage will be calculated as below:-
The expected value of the hourly wage is the sum of the probabilities (percentage of time spent on each job) multiplied by the payoff (money earned) from each possible occurrence (job):
0.6 × 11 + 0.25 × 19 + 0.15 × 16 = $13.75.
Therefore, the average hourly wage will be equal to 13.75 hours.
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How many more pumpkins have a mass between 9 and 12 kg than between 0 and 3 kg?
Answer:
According to the graph, there are 6 pumpkins with the mass of 9kg to 12kg and 4 pumpkins with the mass of 0kg to 3kg.
In order to find how many pumpkins more, you have to subtract it so it will be 6 pumpkins - 4 pumpkins = 2 pumpkins.
Therefore, there are 2 more pumpkins with the mass of 9 to 12kg compared to the pumpkins with the mass of 0 to 3kg.
Answer:
2
Step-by-step explanation:
Tire pressure monitoring systems (TPMS) warn the driver when the tire pressure of the vehicle is 26% below the target pressure. Suppose the target tire pressure of a certain car is 29 psi (pounds per square inch.) (a) At what psi will the TPMS trigger a warning for this car? (Round your answer to 2 decimal place.) (b) Suppose tire pressure is a normally distributed random variable with a standard deviation equal to 2 psi. If the car’s average tire pressure is on target, what is the probability that the TPMS will trigger a warning? (Round your answer to 4 decimal places.) (c) The manufacturer’s recommended correct inflation range is 27 psi to 31 psi. Assume the tires’ average psi is on target. If a tire on the car is inspected at random, what is the probability that the tire’s inflation is within the recommended range? (Round your intermediate calculations and final answer to 4 decimal places.)
Answer:
(a) At 21.46 psi, the TPMS trigger a warning for this car.
(b) The probability that the TPMS will trigger a warning is 0.0001.
(c) The probability that the tire’s inflation is within the recommended range is 0.6826.
Step-by-step explanation:
We are given that tire pressure monitoring systems (TPMS) warn the driver when the tire pressure of the vehicle is 26% below the target pressure. Suppose the target tire pressure of a certain car is 29 psi (pounds per square inch).
(a) It is stated that TPMS warns the driver when the tire pressure of the vehicle is 26% below the target pressure.
So, the TPMS trigger a warning for this car when;
Pressure = 29 psi - 26% of 29 psi
= [tex]29-(0.26 \times 29)[/tex] = 21.46 psi
At 21.46 psi, the TPMS trigger a warning for this car.
(b) Suppose tire pressure is a normally distributed random variable with a standard deviation equal to 2 psi.
Let X = The pressure at which TPMS will trigger a warning
So, X ~ Normal([tex]\mu=29, \sigma^{2} =2^{2}[/tex])
Now, the probability that the TPMS will trigger a warning is given by = P(X [tex]\leq[/tex] 21.46)
P(X [tex]\leq[/tex] 21.46) = P( [tex]\frac{X-\mu}{\sigma}[/tex] [tex]\leq[/tex] [tex]\frac{21.46-29}{2}[/tex] ) = P(Z [tex]\leq[/tex] -3.77) = 1 - P(Z < 3.77)
= 1 - 0.9999 = 0.0001
The above probability is calculated by looking at the value of x = 3.77 in the z table which has an area of 0.9999.
(c) The manufacturer’s recommended correct inflation range is 27 psi to 31 psi.
So, the probability that the tire’s inflation is within the recommended range is given by = P(27 psi < X < 31 psi)
P(27 psi < X < 31 psi) = P(X < 31 psi) - P(X [tex]\leq[/tex]27 psi)
P(X < 31 psi) = P( [tex]\frac{X-\mu}{\sigma}[/tex] < [tex]\frac{31-29}{2}[/tex] ) = P(Z < 1) = 0.8413
P(X [tex]\leq[/tex] 27 psi) = P( [tex]\frac{X-\mu}{\sigma}[/tex] [tex]\leq[/tex] [tex]\frac{27-29}{2}[/tex] ) = P(Z [tex]\leq[/tex] -1) = 1 - P(Z < 1)
= 1 - 0.8413 = 0.1587
Therefore, P(27 psi < X < 31 psi) = 0.8413 - 0.1587 = 0.6826.
At 21.46 psi, the TPMS trigger a warning for this car.
The probability that the TPMS will trigger a warning is 0.0001.
The probability that the tire’s inflation is within the recommended range is 0.6826.
Given that,
Tire pressure monitoring systems (TPMS) warn the driver when the tire pressure of the vehicle is 26% below the target pressure.
Suppose the target tire pressure of a certain car is 29 psi (pounds per square inch).
We have to determine,
At what psi will the TPMS trigger a warning for this car.
What is the probability that the TPMS will trigger a warning.
What is the probability that the tire’s inflation is within the recommended range.
According to the question,
It is stated that TPMS warns the driver when the tire pressure of the vehicle is 26% below the target pressure.So, the TPMS trigger a warning for this car when;
Pressure = 29 psi - 26% of 29 psi
[tex]Pressure = 29- (0.26 \times 29) = 21.46psi[/tex]
At 21.46 psi, the TPMS trigger a warning for this car.
Suppose tire pressure is a normally distributed random variable with a standard deviation equal to 2 psi.
Let X = The pressure at which TPMS will trigger a warning
So, X ~ Normal [tex]\mu = 29, \sigma^2 = 2^2\\[/tex]
Now, the probability that the TPMS will trigger a warning is given by = P(X≤ 21.46).
[tex]P(X\leq 21.46) = P (\dfrac{X-\mu}{\sigma}\leq \dfrac{21.46-29}{2}) = P(Z\leq -3.77) = 1-P(Z<3.77) \\\\= 1-0.9999 = 0.0001[/tex]
The above probability is calculated by looking at the value of x = 3.77 in the z table which has an area of 0.9999.
The manufacturer’s recommended correct inflation range is 27 psi to 31 psi.
So, the probability that the tire’s inflation is within the recommended range is given by = P(27 psi < X < 31 psi)
[tex]P(27psi<X<31psi) = P(X<31psi)-P(X\leq psi)\\\\P(X<31psi) = P(\dfrac{x-\mu}{\sigma}\leq \dfrac{31-29}{2}) = P(Z<1) = 0.8413\\\\P(X<27psi) = P(\dfrac{x-\mu}{\sigma}\leq \dfrac{27-29}{2}) = P(Z\leq -1) = 1-P(Z<1) = 0.8413\\[/tex]
Therefore, , P(27 psi < X < 31 psi) = 0.8413 - 0.1587 = 0.6826.
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Solve this quadratic equation using the quadratic formula. 5 - 10x - 3x2 = 0
Answer:
x = (-5 ± 2√10) / 3
Step-by-step explanation:
5 − 10x − 3x² = 0
Write in standard form:
-3x² − 10x + 5 = 0
Solve with quadratic formula:
x = [ -b ± √(b² − 4ac) ] / 2a
x = [ -(-10) ± √((-10)² − 4(-3)(5)) ] / 2(-3)
x = [ 10 ± √(100 + 60) ] / -6
x = (10 ± 4√10) / -6
x = (-5 ± 2√10) / 3
Step-by-step explanation:
[tex]5 - 10x - 3 \times 2 = 0[/tex]
[tex]multiply \: the \: numbers \\ \\ 5 - 10 x- 6 = 0[/tex]
[tex]collect \: like \: terms \\ \\ 5 - 6 - 10x[/tex]
[tex] - 1 - 10x = 0[/tex]
[tex] - 10x = 1[/tex]
[tex]divide \: both \: sides \: of \: the \: equation \: by \: - 10[/tex]
[tex]x = - \ \frac{1}{10} [/tex]
[tex]alt \: form \: = \\ \\ = 0.1 \\ x = - 10 {}^{ - 1} [/tex]
Hope this helps. :)
Which of these can all be found on the figure?
Answer:
third answer
point Y, ray YZ, angle XYZ
Step-by-step explanation:
These can all be found on the figure are; point Y, ray YZ, angle XYZ. Hence, option C is correct.
How does an angle form?An angle requires two straight line/ line segments/rays, such that they're connected on one of their endpoints.
The point of their joint is called vertex of that angle.
Those two line segments forming it are called arms of that angle.
The angle is the degree of rotation that it will take for the moving side to go from initial side to the position it is currently on...
These can all be found on the figure are; point Y, ray YZ, angle XYZ.
Hence, option C is correct.
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Mark thinks the equation y=6x+4 will match the red solid graph. Mia thinks it will match the blue dotted graph. Who’s right? Explain your answer.
Answer:
Technically neither, but Mia is correct.
Step-by-step explanation:
Slope-Intercept Form: y = mx + b
Since our slope m is equal to 6, it is a positive number. That means that the slope/line will be positive, so the line should be going up, not down. That means the blue line would be correct. Therefore, Mia is correct.
Technicality:
Since the blue line is dotted, the equation should be a inequality and not a linear equation. No solutions on the line would technically work. If the equation was y < 6x + 4 or something with an inequality sign, then it would be correct.
Julio ran 1 1/2 miles In 15 minutes. What is his unit rate in miles per minute?
Answer:
= 0.1 miles per minute
Step-by-step explanation:
= 1.5 miles / 15 min.
= 0.1 miles per minute
1) You are attending the first Lil Baby concert after quarantine. There are two levels, one level
that is standing room only. The dimensions of the room are 62 feet by 31 feet. 15 people fit in a 3
feet by 6 feet space. Upstairs there can be 80 people. How many people can attend? (Note: It
helps if you make a sketch of the problem).
Answer:
Total number of people in the concert
= 186
Step-by-step explanation:
There are 80 people in level 2
Then in level one
The dimensions of the room are 62 feet by 31 feet.
15 people fit in a 3 feet by 6 feet space.
Area of the room= 62*31= 1922 feet²
area of 15 people space= 3*6= 18 feet²
To know how many 15 people we get in the 2nd level
=Area of room/area of 15 people space
= 1922/18
= 106.77
= 106 (we round down because this is human being.)
Total number of people in the concert
= 106+80
= 186
–3(x + n) = x aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa
First thing to do is distribute the [tex]-3[/tex]:
[tex]-3(x+n)=x\\-3x+-3n=x[/tex]
Now we're gonna solve for [tex]x[/tex]:
[tex]-3x-3n=x\\-4x=3n\\x=-\frac{3n}{4}[/tex]
To solve for [tex]n[/tex]:
[tex]-3x-3n=x\\-3n=4x\\n=-\frac{4x}{3}[/tex]
geometric mean between 8 and 1/4
Answer:
√2
1.414
Step-by-step explanation:
ⁿ√x₁*x₂*x₃*...*xₙ
√8*1/4
√2
1.414
The geometric mean between 8 and 1/4 is; 1.414.
According to the question:
We are required to determine the geometric mean between 8 and 1/4.In essence, the geometric mean can be evaluated as follows;
Geometric mean = √(8×1/4)G.M = √2G.M = 1.414Read more on geometric mean:
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