The ordered pairs that make this equation true is (4, 10)
A linear equation is given by:
y = mx + b;
where y, x are variables, m is the slope of the line and b is the y intercept.
Given the linear equation: y = 10x - 30:
At (1, -12): y = 10(1) - 30 = -20 ≠ -12
At (8, 1): y = 10(8) - 30 = 50 ≠ 1
At (4, 10): y = 10(4) - 30 = 10
At (6, 20): y = 10(6) - 30 = 30 ≠ 20
The ordered pairs that make this equation true is (4, 10)
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Answer the following problem using the SOLVE Method Math Club members are selling Math club members are selling Pi Day T-shirts for $7.50 each. The goal is to raise $500 by Friday. The figure below shows how much they have raised by Wednesday. What is the minimum number of T-shirts they must still sell in order to reach their goal? Explain your reasoning.
The minimum number of T-shirt that they must sell to raise $500 is 67 T-shirts
Let x represent the number of Pi Day T-shirts sold.
They are selling Pi Day T-shirts for $7.50 each, So to raise $500:
7.5x > 500
Dividing through by 7.5:
7.5x / 7.5 > 500 / 7.5
x > 66.7
Hence, the minimum number of T-shirt that they must sell to raise $500 is 67 T-shirts
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Please help me, I struggle the most in this class and this is the last question
please help me its easy
Answer: 31.6
Step-by-step explanation:
How to find left and right inverse of a 3x2 matrix.
Let A be a 3×2 matrix, L its left inverse, and R its right inverse. L and R are then matrices such that LA = I₂ (the 2×2 identity matrix) and AR = I₃ (the 3×3 identity matrix). Clearly L must be 2×3 and R must be 3×2 in order for the matrix products to be defined.
To find L and R, we start by introducing a square matrix on the the left sides of either equation above. In particular, we uniformly multiply both sides by the transpose of A, then solve for the inverse.
For the left inverse, we have
[tex]LA=I[/tex]
[tex](LA)A^\top = IA^\top[/tex]
[tex]L\left(AA^\top\right) = A^\top[/tex]
[tex]\left(L\left(AA^\top\right)\right)\left(AA^\top\right)^{-1} = A^\top \left(AA^\top\right)^{-1}[/tex]
[tex]L\left(\left(AA^\top\right)\left(AA^\top\right)^{-1}\right) = A^\top \left(AA^\top\right)^{-1}[/tex]
[tex]LI = A^\top \left(AA^\top\right)^{-1}[/tex]
[tex]L = A^\top \left(AA^\top\right)^{-1}[/tex]
We do the same thing for the right inverse, but take care with how we multiply both sides of AR = I₃.
[tex]AR=I[/tex]
[tex]A^\top(AR)=A^\top I[/tex]
[tex]\left(A^\top A\right)R = A^\top[/tex]
[tex]\left(A^\top A\right)^{-1} \left(\left(A^\top A\right)R\right) = \left(A^\top A\right)^{-1} A^\top[/tex]
[tex]\left(\left(A^\top A\right)^{-1} \left(A^\top A\right)\right) R = \left(A^\top A\right)^{-1} A^\top[/tex]
[tex]IR = \left(A^\top A\right)^{-1} A^\top[/tex]
[tex]R = \left(A^\top A\right)^{-1} A^\top[/tex]
Given that a + b = 2 and that a + b2=6, prove that 2ab = -2. Find also the value of (a - b)?
I need help with this question;(
Answer:
J
Step-by-step explanation:
what is 15/2 into a mixed number
7 1/2.
2 goes into 15 7 times with one left over.
which of these have a these has a sum of 15/6
35/9 + 35/5 or 15/2 + 15/4 or 3/8 + 34/16 or 2/3 + 1/16
3/8 + 34/16
15/6 can be simplified to 2 1/2
The answer for 3/8 + 34/16 can be simplified to 2 1/2
Help Plz this is due tomorrow
Write slope-intercept form of a linear equation
(1,5) and (3,9)
(5,8) and (3,2)
(1,-5) and (0,3)
If you can, when you answer can you put the steps plz
thx
(1,5) and (3,9)
[tex]y = 2x + 3[/tex]
(5,8) and (3,2)
[tex]y = 3x - 7[/tex]
(1,-5) and (0,3)
[tex]y = - 8x + 3[/tex]
First you need to plot the pointsThen you will find the slope (m), by using rise over runThen we will find the y-intercept (b). To find the y-intercept, choose one of the points on the line.Then you write the equation in slope intercept form (y = mx + b)Hope this will help:)
A rectangle has a length of 10 3/16 inches and a width of 6 7/8 inches. what is the perimeter of the rectangle?
Answer:
P = 34 1/8 inches
Step-by-step explanation:
P = 2l + 2w
P = 2(10 3/16) + 2(6 7/8)
convert 10 3/16 to an improper fraction: 163/16
convert 6 7/8 to an improper fraction: 55/8, which equals 110/16
P = 2(163/16) · 2(110/16)
P = 326/16 + 220/16
P = 546/16
P = 34 1/8 inches
Which equation gives the line shown on the graph?
Answer:
[tex]y=\frac{1}{2} x+4[/tex]
Step-by-step explanation:
so the last option
hope this helps!
Is this a function?
Answer:
No, because if you do the vertical line test, the line will hit that two times, Therefore it is not a function.
Step-by-step explanation:
16. To get to school, Enzo can travel 1.2 km
east on Rutherford Street and then south
on Orchard Avenue to his school. Or, he
can take a shortcut through the park, as
shown. His shortcut takes him 20 min.
a
Rutherford Street
home
Orchard Avenue
shortcut
school
Enzo's walking speed is 6 km/h.
a) What angle does Enzo's shortcut make
with Rutherford Street? Describe any
assumptions you must make.
b) How much time does Enzo save by
taking his shortcut? Explain your answer.
Answer:
a)it is a 45 degree angle
b) Enzo saves 8 minutes if he takes the shortcut
Step-by-step explanation:
a) In the picture it looked like a square and if Rutherford street is 1.2 km so is Orchard avenue, and if its a true square it must be 90 degrees so you cut that is half and you get your answer of 45 degrees .
b) It takes Enzo 20 min to walk the shortcut and his walking speed is 6 km/h
you divide 20 by 1.3 or one third and you get 2 so the short cut is 2 km long, and we know Rutherford st. and Orchard ave. is 1.2 km each
2.4 km=length of Rutherford and Orchard together
shortcut is 2 km
divide 2.4 by 0.4 or .4 and you get 6
so if it takes him 20 min on the shortcut it should save him 8 minutes.
At the Lincoln County Animal Shelter, there are currently 6 dogs and 4 cats. Write the ratio of cats to dogs in simplest form as a fraction.
Answer:
2/3
Step-by-step explanation:
4 cats / 6 dogs = 2/3
simplify by dividing by 2
Your Fourthknight team is holding a fundraiser. The list shows all expenses for the fundraiser.
- A tablet that costs $250
- Soccer tickets that cost $150
- Gift cards totaling $425
- The cost of catering is $875
The members of the team will sell tickets at the fundraiser. The ticket cost is set so that 68 tickets will pay for the cost of prizes and food.
How much does each ticket cost?
Model the profit for the fundraiser using an equation:
Answer:
25
Step-by-step explanation:
Because when you add all the cost and divide by the amount of tickets you get 25
8x^2x WHATS THE STANDARD FORM WHATS THE COEFFICIENT QUICKLY PLSS
x^8+8x^7+15x^6−9x^5−72x^4−135x^3+8x^2+64x+120
Factor completely given the following factors: (x+5) and (x+3)
There should be 6 factors (2 given, 2 binomials, and 2 trinomials.)
show steps
Answer:
(x+3)(x+5)(x-2)(x-1)(x^2+2x+4)(x^2+x+1) where the given one is bolded the 2 binomials is italicized and the 2 trinomials is underlined
Step-by-step explanation:
7.6.1 Determine the new dimensions of the follo figures below given the scale factor: 1 Scale Factor of 1/4 4 U! 6 15 in 12 in
Answer: at least 2
Step-by-step explanation: idek
Question in on picture attached
Answer: 12
Step-by-step explanation:
180 = 76 + (3x+3) + (6x-7) = 12
A floor is covered by 800 tiles measuring 10cm^2. How many square tiles of side 8cm would be needed to cover the same floor
Answer:
125 square tiles
Step-by-step explanation:
(800*10)/8^2=8000/64=125
NEED ASAP!!!
Evaluate the expression for the given value of the variable. 28+ 7 9r r= -1/2
Answer:
-11.5
Step-by-step explanation:
28+ 79r r= -1/2
28+ 79(-1/2) =
28 + -39.5 -11.5
What dp they mean 2 to the fourth equal 16.
Answer:
See Below
Step-by-step explanation:
I think you mean 2 the the fourth power, showing 2, with an exponent of 4.
To calculate this, you multiply your base, 2, by itself as many times as the exponent states. Like, 2x2x2x2 because you are multiplying it 4 times by 2.
2x2=4, then 4x2=8, then 8x2= 16.
Hope this helps!
Jason compares the price of oranges at 4 stores,
Kroger is selling oranges at $1.52 for 4 oranges.
Publix is selling 5 oranges for $175, Ingles is
selling oranges at $1.02 for 3 oranges, Walmart
is selling 6 oranges for $2.46. Which store has
the best price?
Answer/Step-by-step explanation:
To Find the best price divided each
Kroger → 1.52/4=0.38
Publix → 175/5=35
Ingles → 1.02/3=0.34
Walmart → 2.46/6=0.41
Base on the data we can tell that Ingles have the best price.
What is the slope of the line shown in the graph?
Answer:
-3/2
Step-by-step explanation:
solve pls brainliest
Answer:
y = 13x
Step-by-step explanation:
Substitute 2 in x and you'll get 26:
y = 13•2
y = 26
does anyone know the answer?
Find the length of the missing side. Round your answer to the nearest tenth.
Answer:
≈ 31.7 yd
Step-by-step explanation:
let the missing side be x , then using Pythagoras' identity in the right triangle
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
x² + 9² = 33²
x² + 81 = 1089 ( subtract 81 from both sides )
x² = 1008 ( take square root of both sides )
x = [tex]\sqrt{1008}[/tex] ≈ 31.7 yd ( to the nearest tenth )
help!!!
i will give a brainliest!!
Answer: is 1 and 3
Step-by-step explanation:
max has x dollars. Keisha has four more dollars then max
Answer:
4x
Step-by-step explanation:
Simply add 4 and x, and that is 4x.
7. Your class wants to raise more than $350 for the Freshman party and you choose to sell candy and cookies to accomplish this task. You earn $6 on
each basket of candy, b, and $3 on each box of cookies, c, that you sell.
a Write a linear inequality that represents this situation
3b + 6c > 350
b. If the number of box of cookies sold is 78, at least how many baskets of candy will you need to sell to reach your goal?
Answer:
20
Step-by-step explanation:
first, find out how much money you already made:
78 x 3 = 234
then, find out how much more you need to make:
350-234=116
divide the price of candy baskets by the amount of money left y out need to make:
116/6=19.3
round becauee you can’t sell .3 of a basket
19.3 rounds to 20
