Answer:
x = 1 , y = -4
Step-by-step explanation:
2x - 5y = 22 ------- ( 1 )
y = 3x - 7 ------- ( 2 )
Substitute ( 2 ) in ( 1 ) :
2x - 5 (3x - 7) = 22
2x - 15x + 35 = 22
- 13x = 22 - 35
- 13x = - 13
x = 1
Substitute x in ( 1 ) :
2x - 5y = 22
2 ( 1 ) - 5y = 22
- 5y = 22 - 2
-5y = 20
y = - 4
1. The arithmetic mean of roots of the quadratic equation x^2- 10x+16=0 is
Answer:
5
Step-by-step explanation:
x^2 - 10x + 16 = 0
factor
(x - 2)(x - 8) = 0
roots
x = {2, 8}
mean of roots
a = (2 + 8) /2
a = 5
A simple random sample of 44 men from a normally distributed population results in a standard deviation of 10.7 beats per minute. The normal range of pulse rates of adults is typically given as 60 to 100 beats per minute. If the range rule of thumb is applied to that normal range, the result is a standard deviation of 10 beats per minute. Use the sample results with a 0.10 significance level to test the claim that pulse rates of men have a standard deviation equal to 10 beats per minute.a. Identify the null and alternative hypotheses.
b. Compute the test statistic; χ2 = ___ .
c. Find the P-value; P-value = ____.d. State the conclusion.
Answer:
Step-by-step explanation:
The Hypothesis :
H0 : σ = 10
H1 : σ ≠ 10
The Chisquare statistic, χ² ;
χ² = [(n-1) * s²] ÷ σ²
Sample size, n = 44 ; sample Standard deviation, s = 10.7 ; population standard deviation, σ = 10
χ² = [(44 - 1) * 10.7²] ÷ 10²
χ² = [43 * 114.49] ÷ 100
χ² = [4923.07] ÷ 100
χ² = 49.2307
Using the Pvalue from Chisquare calculator :
degree of freedom, df = n - 1 = 44 - 1 = 43
Pvalue = 0.238
Somebody please help me asap
Answer:
sum of angles in a triangle = 180°
180-(90+21)
= 69
pls am I correct
Give the domain and range of the quadratic function whose graph is described. Maximum = - 4 at x = 10 The domain of the function is . (Type your answer in interval notation)
Answer:
it is a parabola with max of -4
so domain (-∞,∞)
Step-by-step explanation:
Which of the following represents the factorization of the trinomial below?
X2 - 2x - 48
ANSWER
[tex]\implies {\blue {\boxed {\boxed {\purple {\sf { \: (x + 6)(x - 8)}}}}}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
[tex] {x}^{2} - 2x - 48[/tex]
[tex] = {x}^{2} - 8x + 6x - 48[/tex]
Taking [tex]x[/tex] as common from first two terms and 6 from last two terms, we have
[tex] =x \: ( \: x - 8 \: ) + 6 \: ( \: x - 8 \: )[/tex]
Taking the factor [tex](x-8)[/tex] as common,
[tex] = (x + 6)(x - 8)[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}[/tex]
Answer:
(X+6)(x-8)
Step-by-step explanation:
Select the correct answer.
What is the solution to this equation?
log3 (4x) – 2log3x =2
A. 36
B. 9/4
C. 4/9
D. 1/36
9514 1404 393
Answer:
C. 4/9
Step-by-step explanation:
There are a couple of ways you can do this.
[tex]\log_3{4x}-2\log_3{x}=2\\\\\log_3{4}+\log_3{x}-2\log_3{x}=2\\\\\log_3{4}-2=\log_3{x}\\\\4\cdot3^{-2}=x\qquad\text{take antilogs}\\\\\boxed{x=\dfrac{4}{9}}\\\\\textsf{or}\\\\\dfrac{4x}{x^2}=3^2\qquad\text{take antilogs}\\\\\dfrac{4}{9}=x\qquad\text{cancel $x$, multiply by $\dfrac{x}{9}$}[/tex]
HELP ME PLSSS!
The graph below have a same shape what is the equation of the red graph?
A) g(x)=(3-x)2
B) g(x)=3-x2
C) g(x)=2-x2
D) g(x)=(2-x)2
============================================================
Explanation:
The y intercept of the blue curve f(x) is (0,5)
The y intercept of the red curve g(x) is (0,2)
We see that the y intercept has been shifted down 3 units when going from f(x) to g(x). Overall, the entire f(x) curve has been shifted down 3 units to get the g(x) curve.
Based on that, we would say
g(x) = f(x) - 3
g(x) = (5-x^2) - 3
g(x) = -x^2 + (5 - 3)
g(x) = -x^2 + 2
g(x) = 2 - x^2 ..... answer is choice C
Answer:
2-x^2
Step-by-step explanation:
In a freshman class of 80 students,22 students take Consumer Education,20 students take French,and 4 students take both.Which equation can be used to find the probability,P, that a randomly selected student from this class takes Consumer Education, French,or both?
A: P = 11/40 + 1/4 + 1/20
B: P = 11/40 + 1/4
C: P = 11/40 + 1/4 - 1/20
D: P = 11/40 + 1/4 - 1/10
P = 11/40 + 1/4 - 1/20
=========================================================
Explanation:
The formula we use is
P(A or B) = P(A) + P(B) - P(A and B)
In this case,
P(A) = 22/80 = 11/40 = probability of picking someone from consumer educationP(B) = 20/80 = 1/4 = probability of picking someone taking FrenchP(A and B) = 4/80 = 1/20 = probability of picking someone taking both classesSo,
P(A or B) = P(A) + P(B) - P(A and B)
P(A or B) = 11/40 + 1/4 - 1/20
which is why choice C is the answer
----------------
Note: P(A and B) = 1/20 which is nonzero, so events A and B are not mutually exclusive.
if 4lm+3=18 then m =
Answer:
4(m+3)=18
m+3=18/4=9/2
m=9/2-3
m=9-6/3
m=3/3=1
so,
m=1
Step-by-step explanation:
A group of 3 boys is sharing 4 small pans of rice krispie treats. What is the total amount of rice krispie treats each boy will get?
Answer:
each boy will get 1.33333333333 of a pan
Step-by-step explanation:
Answer:
Each boy in that group would get about 1 and 1 third of a pan of treats or 1.33 repeating
Step-by-step explanation:
To find this you would take the numbers of pans (4) and divide it by the number of boys (3).
4 / 3 = 1.33333
You deposit $3000 in a bank account that pays 4% annual interest. Find the balance after 7 years if the interest is compounded quarterly.
Answer:
$3840.
Step-by-step explanation:
First, write down the formula: I= PRT (Interest= Principle, rate, time). Then you multiply all of the numbers (3000x0.04x7). You get 840, but then you need to add it to the $3000 which already exist, therefor you get your answer of $3840.
please help ill give brainliest I need this answer
Answer:50
Step-by-step explanation:8+7x =9x-4 2x =12 x =6 so 8+42=50
Answer:
50°
Step-by-step explanation:
These 2 angles are vertically opposite, meaning they equal each other.
This gives the equation 9x-4=7x+8.
Subtracting 7x from both sides gives 2x-4=8.
From there, you want to add 4 to both sides, leaving 2x=12.
In order to isolate the x, divide both sides by 2. This creates a final result of x=6.
We want to find the angle given by 8+7x. Since we know x, we can sub it with its value (6). This makes the equation 8+7×6.
We can then solve this to 8+42, and even further to 50°.
**This content involves transversals and solving algebraic equations, which you may wish to revise. I'm always happy to help!
give 10 rational numbers between 2/3 and 4/5
Step-by-step explanation:
2/3=0.66666666666
4/5=0.80000000000
10 rational numbers between them
0.7, 0.71, 0.72, 0.73, 0.74, 0.75, 0.76, 0.77, 0.78, 0.79
Answer:
67/100, 68/100, 69/100, 70/100, 71/100 72/100, 73/100, 74/100, 75/100, 76/100.
Mario compares random download times of movies from three different services using the table below.
Service
Download Time
(minutes)
4.9.4.7, 5.0, 4.6, 4.8
Who Knew
Amazing
Prime
4.6. 4.6. 4.8.4.6, 4.9
Peach TV
4.9.4.9, 5.1, 5.0, 5.1
Which service provides the fastest mean download speed?
Answer:
Who Knew Mean = 4.825
Amazing prime mean =
Peach TV mean = 5.025
Amazing prime wins the fastest speed with 4.75 seconds. Hope this helps!
Jimmy wants to draw a 50° angle. Fill in the missing step to make sure his drawing is completed in the correct order:
Step 1: He draws a ray.
Step 2: He lines up his protractor with the baseline on the ray and the origin of the protractor on the vertex.
Step 3: ________
Step 4: He uses the bottom of the protractor to draw a straight line connecting the mark he made with the vertex.
Step 5: He draws arrows on both ends to make them rays.
Anwsers:
1. He lines up his ruler with the ray and the zero on the ruler.
2. He finds 50° on the protractor and draws a mark on the paper.
3. He lines up his protractor with a straight line and draws a mark on the paper.
4. He draws parallel lines.
Answer:
2. He finds 50° on the protractor and draws a mark on the paper.
Step-by-step explanation:
Construction is a topic that requires a step wise procedure during the process. In the given question, since Jimmy wish to draw an angle of 50°, he should locate the angle on his protractor and draw a mark on the paper. This is with respect to the previous steps observed.
The essence of the protractor is for Jimmy to accurately measure the angle. Thus he has to determine the angle by the use of a protractor before the construction can be complete.
Therefore the required procedure in step 3 is he finds 50° on the protractor and draws a mark on the paper.
Answer He finds 50° on the protractor and draws a mark on the paper.
What points does y-4=-2(x-6) go through
Answer:
(6, 4)
Step-by-step explanation:
y-4=-2(x-6) <=> y-y1 = s(x-x1)
(x1, y1) => (6, 4)
Calculate the area of the following Circle
Answer:
324
Step-by-step explanation:
Circles are 100% even. If you add another line going opposite direction you would multiply 18x18. You get 324.
A high school track is shaped as a rectangle with a half circle on either side.
A rectangle has a length of 96 meters and width of 35 meters. 2 semicircles with diameters of 35 meters are on each end of the rectangle.
Jake plans on running four laps. How many meters will Jake run? Use 3.14 for Pi.
301.9 m
823.6 m
1,207.6 m
1,647.2 m
Answer:
Option (3)
Step-by-step explanation:
Track is shaped as a rectangle with a semicircle on either side.
Therefore, length of the track = 2(Length of rectangle) + perimeter of a complete circle formed by joining the semicircles on each side.
= 2(96) + 2πr
= [tex]192+2\pi (\frac{35}{2})[/tex]
= 192 + 35π
= 192 + 109.9
= 301.9 m
Since, Jake plans to run four laps.
Therefore, distance covered by Jake = 4 × 301.9
= 1207.6 m
Option (3) will be the correct option.
Answer:
C
Step-by-step explanation:
i did the test and got it right :D
Put the following equation of a line into slope-intercept form, simplifying all
fractions.
x + y = 3
Answer:
See below.
Step-by-step explanation:
x + y = 3
Subtract x from both sides:
x - x + y = 3 - x
y = -x + 3 which is slope-intercept form.
5 (v+1) -v = 4 (v-1) +9
Answer:
All real numbers are solutions.
Step-by-step explanation:
Our goal is to isolate "v" on one side of the equation. Let's do this step by step.
5(v+1)−v=4(v−1)+9
Step 1: Simplify both sides of the equation.
5(v + 1) − v = 4(v−1) + 9
(5)(v) + (5)(1) + −v = (4)(v) + (4)(−1) + 9(Distribute)
5v + 5 + −v = 4v + −4 + 9
(5v + −v) +(5) = (4v) + (−4 + 9) (Combine Like Terms)
4v + 5 = 4v + 5
4v + 5 = 4v + 5
Step 2: Subtract 4v from both sides.
4v + 5 − 4v = 4v + 5 − 4v
5 = 5
Step 3: Subtract 5 from both sides.
5 − 5 = 5 − 5
0 = 0
This means that all real numbers are solutions.
Any real number could be "v."
Hope this helps, please mark brainliest if possible. Have a great day.
Answer:
All numbers are solutions
Step-by-step explanation:
what is the equation of a circle with a center (-7, -3) and radius 2?
i’ll mark you brainliest!!
Answer:
2nd
Step-by-step explanation:
bvfhmvdv funny Kahn just list Kay have also off weit
für mich
du ich
The sum
of two consecutive
integers is 8,641.
What is the smallest integer?
Answer:
sim eu também preciso desta respota
i need to figure this out, but im d*mb.
If i can get 1000 of something for 15$, then how much can i get of it for 10$? need help asap
Answer:
666Step-by-step explanation:
1000 off ⇒ $151 off ⇒ $15/1000 = $0.015Let the required number is x, then we have:
x off ⇒ $10x * 0.015 = 10x = 10/0.015x = 666 (rounded down to whole number)Answer:
We get 666 of something in $ 10.
Step-by-step explanation:
Given that :-
We get 1000 of something for $ 15
Find that :-
How much we can get it in $ 10
Let as assume that : -
Let required number be x.Solution :-
$ 15 = $ 10
1000 = x
Using cross multiplication method
15 × x = 10 × 100 0
multiply ,
15 x = 10000
Divide each side by 15.
15 x / 15 = 10000 / 15
x = 666
oscar is buying soil for his plants. he needs to fill one pot with 8 cups of soil and another pot with 3 gallons of soil. if the price of soil is $2.50 per quart, how much, in dollars, will he pay in all?
PLEASE HELP
Answer:
Total dollars = 35 dollars.
Step-by-step explanation:
Below is the given values:
Number of cups = 8 cups
Number of gallons = 3 gallons
Price of soil per quart = $2.50
Now convert the cups and gallons into quart.
Total quart = 8 cups + 3 gallons
Total quart = 8 / 4 quart + 3 x 4 quarts
Total quart = 2 quart + 12 quart
Total quart = 14 quart
Total dollars amount = $2.50 per quart x 14 quart
Total dollars = 35 dollars.
Each day that a library book is kept past its due date, a $0.30 fee is charged at midnight. Which ordered pair is a viable solution if x represents the number of the days that a library book is late and y represents the total fee?
Answer:
x + $0.30 = y
Step-by-step explanation:
hope this helps!
Answer:
(x,0.3*x)
Step-by-step explanation:
the equation would be 0.3*x=y where x is days and y is total cost. so the ordered pair would be (x,y). swapping 0.3*x for y is where (x,0.3*x) is derived from. Since there will be no negative days and the fee only applies at midnight x must be positive and an integer.
Create a number line to illustrate the following operations and find the solution.
Answer:
416
Step-by-step explanation:
26 times 16 is 416
name the plane represented by the back of the box.
I already tried and got it wrong so if you're gonna answer pls explain how you got your answer, thanks
Answer:
ADH
Step-by-step explanation:
The back of the box is AEDH ( points on the corners)
You need 3 points to name a plane that are not in a line
ADH is one name
ADE is another name
Find the area of the parallelogram in the figure below. Round your final answer to the nearest tenth.
16.8
D
23.2
23.2
12.4
B
Write an equation for a line perpendicular to y = -5x - 4 and passing through the point (-5, -4)
Answer:
Step-by-step explanation:
A perpendicular slope is one that is the opposite reciprocal of the one given. The line given, y = -5x - 4, is a line in slope-intercept form where m is the slope and b is the y-intercept. That means that the slope of the given line is -5; therefore, the perpendicular slope is 1/5. Passing through the point (-5, -4), we have
[tex]y-(-4)=\frac{1}{5}(x-(-5))[/tex] which simplifies a bit to
[tex]y+4=\frac{1}{5}(x+5)[/tex] That's the line in point-slope form, so let's also get it into slope-intercept form, which means that we solve the point-slope form equation for y:
[tex]y+4=\frac{1}{5}x+1[/tex] and
[tex]y=\frac{1}{5}x+1-4[/tex] gives us, finally,
[tex]y=\frac{1}{5}x-3[/tex]
You invest $24,000 at a simple interest rate of 12% for 9 years, and your
investment grows by $25,920. What is the principal?
Answer:
The principal is $2400
Step-by-step explanation:
Given
[tex]P = \$24000[/tex]
[tex]t = 9[/tex]
[tex]r =12\%[/tex]
[tex]I = \$25920[/tex]
Required
The principal amount
The principal amount is the amount invested.
From the question, we understand that $24000 was invested.
Hence, the principal is $24000