Which of the following statements are true of the graph of the function f(x)= (x+5)(x-3).
1.) The graph has a relative minimum
2.)The graph has a relative maximum
3.)The graph has an x-intercept at (5,0)
4.)The graph has an x-intercept at (3,0)
5.)The graph has a y-intercept at (0,-15)
6.) The axis of symmetry is x=-2

Step-by-step explanation:

Solving for the surface area of the cube:

2² (5 faces) = 20 ft²

Solvig for the surface area of the pyramid:

0.5 (2ft) (3ft) (4 faces) = 12 ft²

Total surface area = 20 + 12 = 32 ft²

Answer:

b = 26.62

Step-by-step explanation:

You are given 2 sides and one angle. So the best option is to use cosine law.

[tex]b^{2} = a^2 + c^2 - (2ac)cos[/tex]θ

[tex]b^{2} = 26^2 + 11^2 - (2*26*11)cos30[/tex]

[tex]b^{2} = 708.77[/tex]

[tex]b = 26.62[/tex]

Answer:

h

Step-by-step explanation:

h

Answer:

don't know

.....................

Answer:

x = 12

Step-by-step explanation:

Consider three orthogonal triangles (see picture)

1. The smallest triangle

2. The medium triangle

3. The big triangle that holds both triangles.

All are orthogonal (or right triangles) so you can use Pythagoras Theorem:

"The area of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides"

Use Pythagoras theorem on triangle 1.

[tex]a^{2} = 3^{2} + 6^{2} = 45[/tex]

Now user Pythagoras on triangle 2.

[tex]b^{2} = x^{2} + 6^{2} = x^{2} + 36[/tex]

Now use Pythagoras on triangle 3 (the big triangle).

[tex](3 + x )^{2} = a^{2} + b^{2}\\x^{2} + 6x + 9 = a^{2} + b^{2}[/tex]

Now replace the values for [tex]a^{2}[/tex] and [tex]b^{2}[/tex] from the two equations derived from triangle 1 and 2:

[tex]x^{2} + 6x + 9 = 45 + x^{2} + 36[/tex]

The two [tex]x^{2}[/tex] get cancelled out, so:

[tex]6x + 9 = 45 + 36\\x = 12[/tex]

TA DA!

Answer:

2 minutes 42 minutes

Step-by-step explanation:

Answer:

x=13

Step-by-step explanation:

Answer:

13

Step-by-step explanation:

using distributive property:

9x-36-7x=32-2x-16

2x-36=16-2x

4x=52

x= 13

plz brainliesttt

Answer:

101/40 miles or 2 21/40

Step-by-step explanation:

You add the two values together.

Answer:

2 21/40

Step-by-step explanation:

Answer:

[tex]x = \frac{1}{5}y + 2[/tex]     or       [tex]x = \frac{y+10}{5}[/tex]     (Not sure which one is preferred in your case)

Step-by-step explanation:

Key skills needed: Evaluating expressions

1) We are given: [tex]y = 5x-10[/tex]

2) To solve for the x variable, we want to leave the term with "x" by itself.

This means we add 10 to both sides

--> [tex]y + 10 = 5x[/tex] (Since -10 and +10 cancel out to make 0 or nothing)

3) Then we divide by 5 on both sides to get "x" completely by itself.

-----> [tex]\frac{y+10}{5} = x[/tex]

4) You can keep it as is so --> [tex]x = \frac{y + 10}{5}[/tex]

or you can divide "y" by 5 and "10" by 5 and get --> [tex]x = \frac{1}{5} y + 2[/tex]

(I am not sure which form is preferred one is preferred as the teacher matters)

Hope you understood and have a nice day!!

Answer: 18

Step-by-step explanation: 6 x 3 = 18, 18 x 1 = 18

Answer:

Step-by-step explanation:

Part A

x^2 + y^2 = 30^2

I don't know if this is right or not. That would mean that the roller coaster has no clearance and at the lowest point, it would scrape the ground (although not enough to dig a hole).

Part B

y^2 = 900 - x^2

y = sqrt(900 - x^2)

Part C

The graph is actually y = - sqrt(900 - x^2)

That's the only model I can come up with

The wording of the question does not allow for the condition that you want. (0,0) is not the center of the graph the way they want it. See the second graph).

Perhaps it means graph15b. I can't really tell.

Answer/Step-by-step explanation:

The question didn't specify which of the numbered angle we're to look for. However, let's find all the numbered angles.

✔️m<2 = 180° - 53° (linear pair angles)

m<2 = 127°

✔️m<7 = 180° - 53° (consecutive exterior angles are supplematry)

m<7 = 127°

✔️m<8 = 53° (alternate exterior angles are congruent)

Answer:

0.55 > 0.525

Step-by-step explanation:

Answer:

Step-by-step explanation:

0.55=0.550

0.550>0.525

so 0.55>0.525

Answer:

(3,2)

Step-by-step explanation:

Right now point A is at the coordinates (3,2)

When you reflect the shape at line x = 3, point A is at the same x-axis, in which your supposed to reflect it on.

So when you reflect the shape, point A wont move, it will stay in the same colinear and coplanar plane which is (3,2)  

Answer:

B) The probability that the arrow will point to blue is more than 1/4

Step-by-step explanation:

The blue area makes up 1/3 of the pie chart, and 1/3 > 1/4

Answer: -19 i think

Step-by-step explanation:

Answer:

14

Hope it helped!

Answer:

2,469,552

Step-by-step explanation:

Answer:

$211.20

Step-by-step explanation:

20% of $264 is 52.8

264 - 52.8 = $211.20

Answer:

220

Step-by-step explanation:

Answer:135

Step-by-step explanation:all you have to do is to multiply 45 2 times and you will get the answer

Since y is 27, the value of angle 5y will be 135°.

Supplementary angles are those angles that sum up to 180 degrees.

Given 5y and 45° angles are supplimentry angles

Two angles are called supplementary when their measures add up to 180 degrees.

Thus,

5y + 45 = 180

5y = 135

y = 27°

therefore, the value of angle 5y  will be 135° since y is 27.

Learn more about Supplementary angles here:

https://brainly.com/question/13045673

#SPJ2

Answer: f=7 x=5

Step-by-step explanation:

I’m not sure because I solved on paper

Answer:

what specifically are you asking how you would justify? Are you asking how to justify the original equation? If so, how much you spend + your new balance = original balance. Consider if you spent x dollars, your new balance is 10 dollars and your original balance was 15 dollars. Then x + 10 = 15 which means you spent x= 15 - 10 = 5 dollars. With this problem he spent 35 dollars per game so the total he spent is 35x. Since his new balance is 45 and his original balance was 150, then 35x + 45 = 150

Step-by-step explanation:

Answer:

8/7 left, Hope i helped :)

Step-by-step explanation:

Answer:

yyyyyyyyyyyyyyyyyyyyyyyyyyyuujuuju

Step-by-step explanation:

HI dude was good

Answer:

-6

Step-by-step explanation:

[tex]-3\sqrt{2}*\sqrt{2} = -3*2 = -6\\[/tex]

Answer:

The answer to the question provided is 0.444.

Answer:

i believe the answer is C

Step-by-step explanation:

9514 1404 393

Answer:

  (a)  see below

Step-by-step explanation:

The graph that has no two points one above the other is the graph of a function. That is the first of your attachments.

Answer:

The mid-point between the endpoints (10,5) and (6,9) is:

Step-by-step explanation:

Let (x, y) be the mid-point

Given the points

Using the formula to find the mid-point between the endpoints (10,5) and (6,9)

[tex]\left(x,\:y\right)=\left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)[/tex]

Here:

[tex]\left(x_1,\:y_1\right)=\left(10,\:5\right),\:\left(x_2,\:y_2\right)=\left(6,\:9\right)[/tex]

Thus,

[tex]\left(x,\:y\right)=\left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)[/tex]

[tex]\left(x,\:y\right)=\left(\frac{6+10}{2},\:\frac{9+5}{2}\right)[/tex]

[tex]\left(x,\:y\right)=\left(8,\:7\right)[/tex]

Therefore, the mid-point between the endpoints (10,5) and (6,9) is: