The measure of Juan's angle is modeled by 2x2+6x−5. The measure of Sally's angle is modeled by 8x+31. Which polynomial expression represents how much greater the measure of Juan's angle is than Sally's?
a.) 2x2−2x−362 x squared minus 2 x minus 36

b.) 2x2−2x−262 x squared minus 2 x minus 26

c.) 2x2+2x+362 x squared plus 2 x plus 36

d.) 2x2+14x+26

Answer:

The equation which reveals the minimum value for the equation is  2·x² + 12·x - 14 = 0 is the option;

2·(x + 3)² = 32

Step-by-step explanation:

The given function can be presented as follows;

2·x² + 12·x - 14 = 0

The quadratic equation in standard form is a·(x - h)² + k

Where;

(h, k) is the vertex of the parabola

Given that the coefficient of the x² is positive, the graph is U-shaped and the lowest point is given by the vertex of the graph as follows;

2·x² + 12·x - 14 = 2·x² + 12·x - 14 = 2·(x² + 6·x - 7) = 0

2·(x² + 6·x - 7) = 2·(x² + 6·x + 9 - 7 - 9) = 2·((x + 3)² - 16)

2·((x + 3)² - 16) = 2·(x + 3)² - 32 = 0

∴ 2·x² + 12·x - 14 = 2·(x + 3)² - 32 in vertex form

The minimum value (vertex, (h, k)) for the equation = (-3, -32)

Therefore, the equation which reveals the minimum value for the equation is 2·(x + 3)² = 32

Answer:

2(x + 3)2 = 32

Step-by-step explanation:

I took the test.

Answer:

JM = 20

Step-by-step explanation:

Find the value of JM

Using similar triangles;

MJ/HN = GJ/HK

GJ+JM/HN = GJ/HK

15+JM/12+16 = 15/12

15+JM/28 = 15/12

Cross multiply

12(15+JM) = 15*28

180+12JM = 420

12JM = 420 - 180

12JM = 240

JM = 240/12

JM = 20

Hence the length of JM is 20

Emily wanted to exchange her 300 US Dollars for Canadian Dollars.

The exchange rate for it was 1.25 Canadian Dollars for 1 US Dollar.

This means that 1 US Dollar = 1.25 Canadian Dollars.

So if we were to follow this pattern,

2 US Dollars = 2 × 1.25 = 2.5 Canadian Dollars

3 US Dollars = 3 × 1.25 = 3.75 Canadian Dollars

4 US Dollars = 4 × 1.25 = 5 Canadian Dollars

So for 300 US Dollars, we'll need to multiply 300 by 1.25.

300 US Dollars = 300 × 1.25 = 375 Canadian Dollars.

Hope it helps. :)

Answer:

x = -8

Step-by-step explanation:

Answer:

204 ft^2

Step-by-step explanation:

triangle on the left:

A= l x w x 1/2

A = 12 x 5 x 1/2

A = 30 ft^2

triangle on the right:

Same thing

A = 30 ft^2

square in the middle:

A = l x w

A = 12 x 12

A = 144 ft^2

Add them up:

30 + 30 + 144 = 204 ft^2

Answer:

583 student tickets

Step-by-step explanation:

This question is likely asking us to set up a system of equations. Let us say that:

x represents the number of student tickets  

y represents the number of non-student tickets

We know that there were a total of 874 tickets sold, so:

x + y = 874

We also know that every student ticket was sold for $3 and every non-student ticket was sold for $7. We also know the total sales, so:

3x + 7y = 3786

These are our two equations. We can use substitution to solve for the number of student tickets, x:

x + y = 874

y = 874 - x

3x + 7y = 3786

3x + 7(874 - x) = 3786

3x + 6118 - 7x = 3786

-4x = -2332

x = 583 student tickets

Answer:

18 miles

Step-by-step explanation:

6% of 300 miles is 18 miles

Answer:

4

Step-by-step explanation:

15y = 60

60 / 15 = 4

Answer:

Y=4

Step-by-step explanation:

60/15=4

therefore y=4

Answer:

Step-by-step explanation:

y

=

4

−

2

x

Answers:

1. D po

Step-by-step explanation:

i hope its hepl

Answer:

9

Step-by-step explanation:

2:5=7

therefore Jaden got 63÷7

=9

Answer:

40.64 feet

Step-by-step explanation:

Answer:

$804

Step-by-step explanation:

33%=0.33----Covert the percentage as a decimal.

0.33*1200=396----Multiply the decimal by the price of budget. This is the cost of equipment.

$1200-$396=$804----Subtract the cost of equipment ($396) by the cost of budget($1200). You get $804!

Hope this helped.

Answer:

804

Step-by-step explanation:

what the other person said

Answer:

4

Step-by-step explanation:

4

Answer:

Step-by-step explanation:

so common factors are 1, 3,9 and 27

Answer:

see explanation

Step-by-step explanation:

∠ 1 + ∠ 2 = 90, that is

x + x - 8 = 90

2x - 8 = 90 ( add 8 to both sides )

2x = 98 ( divide both sides by 2 )

x = 49

Answer:

Step-by-step explanation:

Answer:

Its C

Step-by-step explanation:

:D

Answer:

33920 or 530 im not 100% sure

i think sorry if im wrong

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

To test a circuit he does not need to gather opinions

Answer:

b

Step-by-step explanation:

Answer:

66°

Step-by-step explanation:

simply subtract 114 from 180

you'll come out with the answer of 66°.

Answer:

4 a + 2 a^2 - 8 a^3 + 3 a^2 b - 12

Step-by-step explanation:

Simplify the following:

3 (b a^2 - 4) + a (-8 a^2 + 2 a + 4)

Hint: | Distribute a over -8 a^2 + 2 a + 4.

a (-8 a^2 + 2 a + 4) = -8 a^3 + 2 a^2 + 4 a:

-8 a^3 + 2 a^2 + 4 a + 3 (b a^2 - 4)

Hint: | Distribute 3 over a^2 b - 4.

3 (a^2 b - 4) = 3 a^2 b - 12:

Answer: 4 a + 2 a^2 - 8 a^3 + 3 a^2 b - 12

Answer:

[tex]A = x^{2} + x[/tex]

Step-by-step explanation:

Area of a triangle = bh/2

Your base is 2x and the height is x + 1

So, A = (2x)(x + 1)/2

        A = [tex]x^{2} + x[/tex]

Answer: 4,5

Step-by-step explanation:

The actual length of the Olympic-size swimming pool which is drawn by Christina on the scale model is 50 meters.

Scale factor is the factor which is used to enlarge or smaller the original figure.

Scale factor is the ratio of representation measurement of the figure to the original figures.

Christina drew a scale model of an Olympic-size swimming pool using a scale in which 3 centimeters represents 10 meters.

Thus, the scale factor is for cm to m,

[tex]r=\dfrac{3}{10}\rm[/tex]

The length of the pool in her drawing is 15 centimeters. Let the length of the actual pool is x cm. Thus,

[tex]\dfrac{15}{x}=\dfrac{3}{10}\\x=50\rm \; m[/tex]

Thus, the actual length of the Olympic-size swimming pool which is drawn by Christina on the scale model is 50 meters.

Learn more about the scale factor here;

https://brainly.com/question/10253650