Answer:
-6
Step-by-step explanation:
We know that since Ax + By = 3 passes through (-7, 2), then if we plug -7 in for x and 2 in for y, the equation is satisfied. So, let's do that:
Ax + By = 3
A * (-7) + B * 2 = 3
-7A + 2B = 3
We also know that this line is parallel to x + 3y = -5, which means their slopes are the same. Let's solve for y in the second equation:
x + 3y = -5
3y = -x - 5
y = (-1/3)x - (5/3)
So, the slope of this line is -1/3, which means the slope of Ax + By = 3 is also -1/3. Let's solve for y in the first equation:
Ax + By = 3
By = -Ax + 3
y = (-A/B)x + 3/B
This means that -A/B = -1/3. So, we have a relationship between A and B:
-A/B = -1/3
A/B = 1/3
B = 3A
Plug 3A in for B into the equation we had where -7A + 2B = 3:
-7A + 2B = 3
-7A + 2 * 3A = 3
-7A + 6A = 3
-A = 3
A = -3
Use this to solve for B:
B = 3A
B = 3 * (-3) = -9
So, B = -9 and A = -3. Then B - A is:
B - A = -9 - (-3) = -9 + 3 = -6
The answer is -6.
~ an aesthetics lover
Answer:
-6
Step-by-step explanation:
Let $A = (-3,8)$ and $B = (-5,4)$. The midpoint of $\overline{AB}$ is $\left( \frac{(-3) + (-5)}{2}, \frac{8 + 4}{2} \right) = (-4,6)$.
The slope of $\overline{AB}$ is $\frac{8 - 4}{(-3) - (-5)} = 2$, so the slope of the perpendicular bisector of $\overline{AB}$ is $-\frac{1}{2}$. Therefore, the equation of the perpendicular bisector is given by
\[y - 6 = -\frac{1}{2} (x + 4).\]Isolating $y,$ we find
\[y = -\frac{1}{2} x + 4.\]Therefore, $m+b = -\frac{1}{2} + 4 = \boxed{\frac{7}{2}}.$
Find the value of 5 · 2 ^3
Answer:
40
Step-by-step explanation:
[tex]5. {2}^{3} = 5.8 = 40 \\ [/tex]
graph: y-3= 1/2(x+2)
Answer:
slope: 1/2
y-intercept: 4
What is the answer to this problem 30 + (16/2)
Answer:
Brainliest!
Step-by-step explanation:
30+8
=38
16/2 = 8
Answer:
38
Step-by-step explanation:
16/2 = 8
30 + 8 = 38
A large ice cream distributor wants to analyze the effect of season (winter, spring, summer, fall) on daily ice cream sales in dollars. How many independent variables does the manufacturer need to include in the multiple regression model?
Answer:
4
Step-by-step explanation:
The independent variable is the variable used to explain the dependent variable.
The researcher wants to know how the seasons (independent variable) affects ice cream sales (dependent variable).
The researcher would regress ice cream sales against each season. There are four seasons, so the independent variable would be four
a store makes a profit of $1000 in January. in February the sales are up 25%, but in March the profit is down 25%. The manager says the profit for the march is still $1000. What is his error? What is the actual profit for the march?
Answer:
The profit is 937.50$ The manager subtracted 25% from januarary's profit not march's.
Step-by-step explanation:
1000 times 25% is 1250 - 25% = 937.50
Answer:
Step-by-step explanation:
The profit is 937.50$ The manager subtracted 25% from januarary's profit, not march's.
Step-by-step explanation:
1000 times 25% is 1250 - 25% = 937.50
Circle the equivalent expressions: A. 3(2p + 2) B. 12p C. p(3 + 3) + 6 D. 5p + 6 E. 2p + 4p + 6 F. 3 + 6p + 3
Answer:
a,e,f
Step-by-step explanation:
a. 6p+6
b.12p
c.6p
d.5p+6
e.6p+6
f.6p+6
Please someone help me ASAP.
Answer:
£13
Step-by-step explanation:
Set up a system of equations where s represents the cost of one shirt and j represents the cost of one jumper:
2s + j = 29
s + j = 21
Multiply the bottom equation by -2 to solve by elimination by cancelling out the s variables:
2s + j = 29
-2s - 2j = -42
-j = -13
j = 13
One jumper will cost £13
An autonomous car is programmed to travel forty kilometers at an average speed of 40 km/hr. During the first 20 km, an average speed of 40 km/hr is maintained. During the next ten kilometers, however, the car averages only twenty km/hr. To drive the remaining ten kilometers and average 40 km/hr, the autonomous car must drive
Answer:
To cover the remaining ten kilometres and average 40 km/hr, the autonomous car must drive at infinite speed (light speed)
Step-by-step explanation:
The average speed = (The total distance)/(The total time taken)
The given parameters are;
The required average speed of the autonomous car = 40 km/hr
The average speed of the car during the first 20 km = 40 km/hr
The average speed of the car during the next 10 km = 20 km/hr
Therefore, we have;
The time taken = Distance/Speed
The time taken by the car during the first 20 km = 20 km/40 km/hr = 0.5 hour
The time taken by the car during the next 10 km = 10 km/20 km/hr = 0.5 hour
Therefore, the amount of time elapsed = 0.5 hour + 0.5 hour = 1 hour
The distance covered = 30 km
Which gives;
To drive the remaining distance of 10 km the car has 0 hour left,
The speed of the remaining 10 km must therefore be 10/0 = Infinite (speed).
To cover the remaining ten kilometres and average 40 km/hr, the autonomous car must drive at infinite speed.
Comparing Amounts of Debt
Quick
Check
Jack's bank statement shows a debt of $25. Sort the account balances to show which are greater than Jack's debt
and which are less than Jack's debt
Account balance: -$30
Greater than Jack's Debt
Less than Jack's Debt
Account balance: $30
Account balance: $15
Account balance. -$10
Account balance: -550
Account balance: $5
Answer: Grater than jacks debt -$50 , -$30
less that jacks debt: $15 , -$10 , $30 , $5.
srry if its wrong but this is how i got it right
hopefully im right .......................... bye.
∩⁽° ⁻ °⁾∩
Answer:
Grater than jacks debt -$50 , -$30
less that jacks debt: $15 , -$10 , $30 , $5.
srry if its wrong but this is how i got it right
hopefully im right .......................... bye.
Step-by-step explanation:
you design a new app for cell phones. your revenue for x downloads is given by f(x)=3x. your profit is $20 less than 90% of the revenue for x downloads create a function p to model the profit. find the profit for 90 downloads
Answer:
The Break Even point is the point at which the cost=revenue 14,980+20x=30x 14,980=10x 1,498=x a. 1,498 units must be sold to break even. At $20 per unit, the dollar amount will be $29,960 b. The profit function is P(x)=R(x)-C(x) So P(x)=30x-(14,980+20x) If you want to solve for this equation just enter the value of x we found for the break even point to get the answer.
Hoped I helped
The profit for 90 downloads will be;
⇒ P = $223
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
Your revenue for x downloads is given by,
⇒ f(x) = 3x
And, Your profit is $20 less than 90% of the revenue for x downloads create a function p to model the profit.
Now,
Since, Your revenue for x downloads is given by,
⇒ f(x) = 3x
And, Your profit is $20 less than 90% of the revenue for x downloads create a function p to model the profit.
Hence, We can formulate;
⇒ P = 90% of f (x) - 20
⇒ P = 90/100 × 3x - 20
⇒ P = 270x/100 - 20
⇒ P = 2.7x - 20
So, The profit for 90 downloads will be;
⇒ P = 2.7 × 90 - 20
⇒ P = $223
Thus, The profit for 90 downloads = $223
Learn more about the mathematical expression visit:
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I need help on this plz i don’t understand the question
We know that the area of a circle in terms of π will be πr². However the area with respect to the diameter will be a different story. The first step here is to find a function relating the area and diameter of any circle --- ( 1 )
For any circle the diameter is 2 times the radius,
d = 2r
Therefore r = d / 2, which gives us the following formula through substitution.
A = π(d / 2)² = πd² / 4
Hence the area of a circle as the function of it's diameter is A = πd² / 4. You can also say f(d) = πd² / 4.
Now we can substitute " d " as 4, solving for the area ( A ) or f(4) --- ( 2 )
f(4) = π(4)² / 4 = 16π / 4 = 4π - This makes the area of circle present with a diameter of 4 inches, 4π.
A particle is moving along a projectile path at an initial height of 160 feet with an initial speed of 144 feet per second. This can be represented by the function H(t) = −16t2 + 144t + 160. What is the maximum height of the particle?
Answer:
The maximum height of the particle is 484 m.
Step-by-step explanation:
Given that,
A particle is moving along a projectile path at an initial height of 160 feet with an initial speed of 144 feet per second. This can be represented by the function :
[tex]H(t) = -16t^2 + 144t + 160[/tex] ....(1)
We need to find the maximum height of the particle. For maximum height put [tex]\dfrac{dH}{dt}=0[/tex]
So,
[tex]\dfrac{d(-16t^2+144t+160)}{dt}=0\\\\-32t+144=0\\\\t=4.5\ s[/tex]
Put t = 4.5 s in equation (1) as :
[tex]H(t) = -16(4.5)^2 + 144(4.5)+ 160\\\\H(t)=484\ m[/tex]
So, the maximum height of the particle is 484 m.
Answer:
484 feet
Step-by-step explanation:
First, look at H(t) = −16t^2 + 144t + 160 as ax^2 + bx + c
Second, write out a=, b=, c=, which are a=-16, b=144, c=160
Third, plug a, b, & c into the equation for vertex which is t= -b/(2a) or t=-144/[2*(-16)], t=4.5.
Fourth, plug t=4.5 into the original equation H(t) = −16t^2 + 144t + 160, so H(4.5)=−16((4.5)^2) + 144(4.5) + 160 = -324 + 648 +160 = 484 feet
-ax-20=-14
solve the equation
There are four activities on the critical path, and they have standard deviations of 1, 2, 4, and 2 days. The standard deviation of the critical path is
Answer:
The standard deviation of the critical path = 5
Step-by-step explanation:
The formula for the standard deviation of a critical path is given as:
Standard deviation of a path
=√(sum of variances of activities on path)
Variance = (Standard deviation)²
In the above question, we are given:
Standard deviation of 1, 2, 4 and 2 days
Standard deviation of a critical path
=√(sum of variances of activities on path)
= √1² + 2² + 4² + 2²
= √1 + 4 + 16 + 4
= √25
= 5
Factorise the following expression using grouping.
11x - 55 - 5a + ax
11x - 55 - 5a + ax
11 (x - 5) - a ( 5 + x )
Answer:
11 (x - 5) - a ( 5 + x )
In the following questions, look at different ways to represent the relation given by the equation y = x2 - 1. The table below shows some values for the given equation. Find the values of a and b.
Question: In the following questions, look at different ways to represent the relation given by the equation y = x2 - 1. The table below shows some values for the given equation. Find the values of a and b.
Answer:
a= 3
b= 0
The value of a and be will be three and zero respectively.
What is an equation?The equation in mathematics is the relationship between the variables and the number and establishes the relationship between the two or more variables.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
We are given the quadratic equation as;
y = x² - 1
From the given table;
At x = -2, y = (-2)² - 1 = 3
At x = -1, y = 0
At x = 0, y = -1
At x = 1, y = 0
Now, from the values above, we can say that the first graph is the correct one that shows some values for the given equation.
Therefore, values of a and be will be three and zero respectively.
The complete question is given below:-
In the following questions, look at different ways to represent the relation given by the
equation y = x2 - 1.
The table below shows some values for the given equation. Find the values of a and b.
a =
b =
The table is attached with the answer.
Read more about Quadratic Function Graphs at; brainly.com/question/1523847
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Name a fourth point in plane UVX
Answer:
The correct option is;
W
Step-by-step explanation:
The number of points that defines a plane in a Euclidean space in all dimensions is either three points which are not on the same line, or two colinear points and a third point not on the line
The given points of the plane are UVX, which gives the plane as being diagonal to the cube and perpendicular to the side face of the cube.
The fourth point in plane UVX is therefore W.
The parallel sides of a trapezoid have lengths 9 cm and 12 cm. Draw one diagonal, dividing the trapezoid into two triangles. What is the ratio of their areas?
Answer:
Ratio of triangle = 3 : 4
Step-by-step explanation:
Given:
Parallel sides = 9 cm , 12 cm
Find:
Ratio of triangle
Computation:
Assume height = h
Area of triangle = [1/2]bh
Area of triangle (1) = [1/2](9)h
Area of triangle (1) = 4.5 h
Area of triangle (2) = [1/2](12)h
Area of triangle (2) = 6 h
Ratio of triangle = 4.5 h / 6 h
Ratio of triangle = 3 : 4
A car is at a distance s, in miles from its starting point in t hours, given by s(t)=10t^2. Find s(2) and s(5). Find s(5)-s(2). What does this represent? Find the average rate of change from t=2 to t=5. This is the average velocity
Answer:
Average Velocity= 70 miles per hour
Step-by-step explanation:
Distance= s
Time = t
s(t)=10t^2
Putting the values
s(2) = 10 (2)^2= 10&4
s= 40
s(5) = 10 (5)^2 = 10*25
S(5)= 250
The average velocity is defined as the rate of change of speed in unit time.
So
Speed= distance/time
Velocity = Speed in a definite direction
Average Velocity= Displacement/ Time
Average Velocity= Change in distance/ Change in time
s(5) - s(2)/ t(5)- t(2)
= 250-40/5-2= 210/3= 70 miles per hour
I will Give BRAINLIEST!!!!!!!!
Answer:
2nd and 4th
Step-by-step explanation:
16.50÷6=2.75
So the second one is true.
12x2.75=33
So the fourth one is true.
Answer:
The first and fourth statements are true.
Step-by-step explanation:
We know that 6 pounds of blueberries costs $16.50 so 1 pound costs 16.5 / 6 = $2.75. Therefore, the first statement is true. The second statement can't be true because this is a direct proportion. In a direct proportion, when one variable increases, the other increases as well so the price of 2.75 pounds can't be less than the price of 1 pound. The cost of 5 pounds is 2.75 * 5 = 13.75 so the third statement is false. The cost of 12 pounds will be 2.75 * 12 = 33 so the fourth statement is true. The cost of 3 pounds is 2.75 * 3 = 8.25 so the fifth statement is false.
need help ASP .find the universe function of f(x)=1/2x+3
Answer:
f (1) = 1/ 2(1) + 3
= 1/2 + 3
= 1/5
ASAP.....!help........!!
Answer:
360
Step-by-step explanation:
First, we need to solve the numbers in the parentheses.
(14-2)^2 = (14 - 2)(14 - 2) = 196 -56 +4 = 144 (Use FOIL)
Then, we multiply that by 5.
144 * 5 = 720
Finally, we divide by two to get our answer.
720 ÷ 2 = 360
Answer:
360.
Step-by-step explanation:
Step 1:
Combine and Determine sums of certain numbers: 12 = 22•3
(12)2 = (22•3)2 = 24 • 32 =
--5 • (24•32) /2
Step 2:
Simplify: 24•32) /2 =
--5 • 72
Step 3:
Multiply: 360
I need to find the value of x and y. HELP PLEASE
Answer:
The answer is option C
Step-by-step explanation:
Since the triangle is a right angled triangle we can use trigonometric ratios to find x and y
For xIn order to find x we use tan
tan∅ = opposite/ adjacent
From the question
The opposite is 4
The adjacent is x
Substitute the values into the above formula
That's
[tex] \tan(30) = \frac{4}{x} \\ x \tan(30) = 4 \\ x = \frac{4}{ \tan(30) } [/tex]We have the answer as
[tex]x = 4 \sqrt{3} [/tex]For yIn order to find y we use sine
sin ∅ = opposite / hypotenuse
From the question
The opposite is 4
The hypotenuse is y
So we have
[tex] \sin(30) = \frac{4}{y} \\ y \sin(30) = 4 \\ y = \frac{4}{ \sin(30) } [/tex]We have the answer as
y = 8Hope this helps you
If you have 3/12 of an orange, how many fourths do you have?
Answer:
1/4
Step-by-step explanation:
you would have one fourth because you divide 3 and 12 by 4 and you get 1/4
3/3=1
12/3=4
order the following from least to greatest: 2/5, 6%, 6, -5/4, 0, 25%
Answer:
-5/4 0 6% 2/5 25% 6
Step-by-step explanation:
converting all to decimal -
.4, .06, 6, -1.25, 0, .25
Ok so we need to turn these all into the same type of number.
I'm going to turn it into decimals.
2/5 = 4/10 = 40/100 = 0.40
6%=0.06
6=6.00
-5/4 = -125/100 = -1.25
0 = 0.0
25% = 0.25
So now we order from least to greatest.
0.4, 0.06, 6, -1.25, 0, 0.25
Since -1.25 is a negative number, it goes first.
All of them except for -1.25 and 0 are positive numbers so 0 goes next.
Now you could ignore the decimal point; 40, 6, 600, 25
From least to greatest it is; 6, 25, 40, 600
So the final order from least to greatest is; -1.25, 0, 0.06, 0.25, 0.4, 6
Or; -5/4, 0, 6%, 25%, 2/5, 6
♡ Hope this helped! ♡
❀ 0ranges ❀
Help me answer the following question.
Answer:
160 m
Step-by-step explanation:
you can approach this question with the thinking of simple math. First, you have the value of -85 rose by 30 means +30 and descending 105 means -105.
So, the calculation you will get is -85+30-105=-160. The negative means going down as the direction.
As of Sunday evening, José has collected 172 clothing items and Biruk has collected 1 clothing item for the clothing charity drive. José says he will collect 6 items per day. Biruk says he will collect 15 items per day. How many days from Sunday will it take until they have collected the same total number of clothing items for the charity drive?
Answer:
It will take 19 days from Sunday.
Step-by-step explanation:
You can use the equation 172 + 6d = 1 + 15d for this equation. 172 and 1 are how many items Jose and Biruk started with. 6d and 15d represent how many items they get a day. Here's how you can solve the equation:
172 + 6d = 1 + 15d
-6d -6d
172 = 1 + 9d
-1 -1
171 = 9d
÷9 ÷9
19 = d (write it as d = 19)
(When you type the answer, be sure to always put the letter first.)
Simplify the expression to a polynomial in standard form: (x−3)(x 2 −7x−2)
Answer:
-5x²+13x+6
Step-by-step explanation:
(x-3)*(2x-7x-2)
(x-3)*(-5x-2)
-5x²-2x+15x+6
-5x²+13x+6
Frank needs to fill juicecups for his little sister's birthday party there are 35 juice cups in each juice cup holds 12 fluid ounces the juice comes in a 1 gallon bottle how many 1 gallon bottles of juice will Frank need to purchase
Answer:
He would need 3.3 gallons
Step-by-step explanation:
1 gallon = 128 ounces
35 * 5 = 420
420 / 128 = 3.28
5 5/6+(-1/6)+2 2/3+(-2 2/3)
Answer:
17/3 or 5 2/3 or 5.6 repeating
Step-by-step explanation:
z
Answer:
5(5/6)+(-1/6)+2(2/3)+(-2)(2/3)
(35/6)-(1/6)+(8/3)-(8/3)
find the least common multiple which is 3
therefore 70-3+16-16
the answer is 67