MATHEMATICS HIGH SCHOOL

Use an area model to multiply (3x+7)(4x+5).
Fill in the blanks with the correct numbers.
Use an area model to multiply (3x+7)(4x+5). Fill in the - 1

Answers

Answer 1
Answer:

Answer:

12^2 + 43x + 35

Step-by-step explanation:

(3x+7)(4x+5)

=(3x+7)(4x+5)

=(3x)(4x)+(3x)(5)+(7)(4x)+(7)(5)

=12x2+15x+28x+35

=12x2+43x+35

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Metropolitan high school sells sweat shirts and t shirts at each athletic event. during the first event, they sold 12 sweatshirts and 8 t-shirts for a total of $312. the school took in $300 during a second event by selling 8 sweatshirts and 13 t-shirts. what is the price of one sweatshirt and one t shirt HELP NOW PLEASEEEE

Answers

Answer:

T = $12

S =$18

Step-by-step explanation:

This question would be solved using simultaneous equation

Let t = cost of t-shirt

s = price of sweatshirt

two equations can be derived from this question

12s + 8t = 312   eqn 1

8s + 13t = 300   eqn 2

Multiply eqn 1 by 8 and eqn 2 by 12 :

96s + 64t = 2496 eqn 3

96s + 156t = 3600 eqn 4

subtract eqn 3 from 4

92t =1104

t = 12

Substitute for t in eqn 1

12s + 8(12) = 312

12s + 96 = 312

12s = 216

s = 18

Solve for x. Round your answer to the nearest tenth if necessary.

Answers

Answer:

x ≈ 11.1

Step-by-step explanation:

using the cosine ratio in the right triangle

cos42° = (adjacent)/(hypotenuse) = (x)/(15) ( multiply both sides by 15 )

15 × cos42° = x , then

x ≈ 11.1 ( to the nearest tenth )

Which of the following are point-slope equations of the line going through (-5, 6) and (1, 1)? Check all that apply.

Answers

Here, first we need to calculate the slope of the line, 
m = y2 - y1 / x2-x1
m = 6 - 1 / -5-1
m = 5/-6
m = -5/6

Now, Take first coordinate: y - 6 = -5/6 (x + 5)
Second coordinate: y - 1 = -5/6 (x - 1)

In short, Your Answers would be Option A & E

Hope this helps!

Which expression is equivalent to 6(3x + 4)?1: 18x + 4
2: 18x + 24
3: 9x + 10
4: 9x + 4

Answers

Answer:

2. 18x + 24

Step-by-step explanation:

Distribute the 6 to create 18x + 24
18x+24
Multiple 6 to both 3x and 4.

6x + y = 4
X - 4y = 19

Solving systems by substitution

Answers

6x+y=4
X-4y=19

You are going to want to take -4y and put it to the other side:
X-4y=19
Which is: x=4y+19
6x+y=4
Now substitute x !
6(4y+19)+y=4
Distribute it
24y+114+y=4
Now combine like terms
25y+114=4
Subtract 114 both sides
25y= -110
Y=-4.4

Now you have y so take either equation and substitute the y
X-4(1.4)=19
X+17.6=19
X=1.4
Y=-4.4
The answer is x= 1.4 y=-4.4

Solve the equation by completing the square. Round to the nearest hundredth if necessary. x^2+3x-5=5

Answers

If you would like to solve the equation x^2 + 3 * x - 5 = 5, you can calculate this using the following steps:

x^2 + 3 * x - 5 = 5
x^2 + 3 * x - 5 - 5 = 0
x^2 + 3 * x - 10 = 0
(x + 5) * (x - 2) = 0
1. x = - 5
2. x = 2

The correct result would be x = - 5, or x = 2.
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