Which expression represents the following algebraic statement?
Four times the difference of a number and 16.

Answer:

Axis of symmetry: x=-4

Step-by-step explanation:

If x=-7 and x=-1 are solutions to a quadratic equation, then that quadratic equation must be (x+1)(x+7)=0 -> x^2+8x+7=0 as both solutions satisfy the Zero Product Property where the function is f(x)=x^2+8x+7. The axis of symmetry would be the line x=-b/2a which means the axis of symmetry is x=-(8)/2(1)=-8/2=-4 -> x=-4. It can also be found by turning f(x)=x^2+8x+7 into f(x)=(x+4)^2-9 by completing the square, and since h=-4, then the axis of symmetry would be x=h=-4. Refer to the graph.

Answer:

solution given:

length[l]=3 in

breadth [b]=5in

height [h]=8in

total surface area of the rectangular prism=?

we have

total surface area of the rectangular prism

=2[lb+bh+lh]

=2[3*5+5*8+3*8]

=158 in²

total surface area of the rectangular prism is 158 in².

Answer:

158

Step-by-step explanation:

formula is 2(hL+wh+lw)

Length- 3

width- 5

height - 8

Substitue values and get answer.

2 (24+ 40+15)

2 (79)

= 158

have a wonderful day!

Answer:

Option B) His teachings became government philosophy.

Answer:

His teachings became government philosophy ..

hope it is helpful to you.

Answer:

The smallest number is 7

Step-by-step explanation:

Using simultaneous equation;

x+y = 18.....(1)

4x-y = 17.....(2)

from equation (1)..

x+y = 18

y = 18-x...(3)

substitute y into equation (2)

4x-y = 17

4x-(18-x) = 17

4x-18+x = 17

4x+x = 17+18

5x = 35

x = 35÷5

x = 7

substitute x into equation (3)

y = 18-x

y = 18-7

y = 11

Therefore; x=7

y=11

11+7=18

(4×7)-11=17

the smallest number is 7

Answer: $30.89

Step-by-step explanation: you time $9.49 by three (28.47) then you find 8.5% of that total (2.41995) and then you add that to the total for the three bears and round to the nearest cent

Answer:

(-9/2t + 3) +( 7/4t + 33) = -11/4t + 36

5(2t + 1)+(-7t +28) = 3t+ 33

Step-by-step explanation

Those are the ones i could solve hope this helps!

1. Problem  

(-9/2t + 3) +( 7/4t + 33)

-9/2t + 7/4t

-18/4t +7/4t= -11/4t

3+ 33= 36

-11/4t + 36

2. Problem

5(2t + 1)+(-7t +28)

10t + 5 + ( -7t +28)

10t - 7t= 3t

5+ 38= 33

Answer:

C... 3

Step-by-step explanation:

Answer:

Toby began his math homework at 6:38 pm.

He finished at 7:09 pm.

How many minutes did Toby spend on his math homework?

Step-by-step explanation:

Answer:

that would be 1

Step-by-step explanation:

in this equation x=74 and 74/74 equals one

Answer:

ancho de ese culotote

Step-by-step explanation:

Step-by-step explanation:

In,

Question 2 I have already answered,

Q. 3)

[tex] \frac{ {c}^{2} }{d} [/tex]

Given values:-

c = 6 , d = 3

By putting the values in the question,

[tex] \frac{ {6}^{2} }{3} [/tex]

[tex] = \frac{36}{3} [/tex]

= 12 (Ans)

Answer:

9.5 seconds

Step-by-step explanation:

0-4 seconds => 20 meters

4-9.5 seconds => 55 meters

total = 75 meters

A horse run a distance of 75 metres in 9.5 seconds.

The speed formula can be defined as the rate at which an object covers some distance. Speed can be measured as the distance traveled by a body in a given period of time.

Here, From the graph,

when, t = 4 sec.

    distance = 4 X 10 X 1/2

                    = 20 meters

Now, 75 - 20 = 55 meters

So, 55/10 = 5.5 seconds

Total time = 5.5 + 4

                 = 9.5 sec.

A horse run a distance of 75 metres in 9.5 seconds.

Thus, A horse run a distance of 75 metres in 9.5 seconds.

Learn more about Speed from:

https://brainly.com/question/7359669

#SPJ2

Answer:

12.7 cm

Step-by-step explanation:

Area of a trapezium = 1/2 x ( a + b) x height

a and b represents the bases

140 = 1/2 x (12 + 10) x h

140 = 11h

h = 140 / 11

h = 12.727 cm

h = 12.7 cm to the nearest tenth

the tenth is the first number after the decimal place. To convert to the nearest tenth, look at the number after the tenth (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero

Answer:

[tex]-x^{2} +2x-3[/tex]

Answer :

-2x^2 + 2x - 3

Answer:

1.    x > -3

2.    8 > 0.5

3.    x < -4

6. x < 2

7. Yes

8. No

9. Yes

10. Yes

1. p=packs of gum

inequality = 35 > 10+2p

Benny can buy 6 packs of gum.

Answer:

there is no enough data to find the answer

Answer:

excuse me, but how do we answer this? This question is unanswerable without it being a question!

Step-by-step explanation:

the answer is

y≥2x/5+2

Step-by-step explanation:

we moved the y to the right site and the -10 to the left site

so we had

2x+10≤5y

and then we devided by 5

2x/5+10/5≤y

y≥2x/5+2

hopefully its correct

Answer:  Choice D

[tex]y \ge \frac{2}{5}x +2\\\\[/tex]

=======================================

Work Shown:

[tex]2x - 5y \le -10\\\\-5y \le -2x-10\\\\y \ge \frac{-2x-10}{-5} \ \text{ ... see note1 below}\\\\y \ge \frac{-2x}{-5} - \frac{10}{-5}\\\\y \ge \frac{2}{5}x +2 \ \text{ ... answer is choice D}\\\\[/tex]

Note1: when dividing both sides by a negative number, the inequality sign flips.

----------------

Here's another approach that doesn't involve dividing both sides by a negative number.

[tex]2x - 5y \le -10\\\\2x \le -10+5y\\\\2x +10\le 5y\\\\5y \ge 2x+10 \ \text{ .... see note2 below}\\\\y \ge \frac{2x+10}{5}\\\\y \ge \frac{2x}{5} + \frac{10}{5}\\\\y \ge \frac{2}{5}x +2\\\\[/tex]

Note2: I swapped the left and right sides. Doing this swap means that the inequality sign must flip as well.

Answer:

it might be 7yd^3 im not to sure.

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

y2 - y1/ x2 - x1

3-2/ 5-4 = 1/1 = 1

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

1847.26 yards cubed

Step-by-step explanation:

V=πr^2h

π*49*12= 1847.26

Have a good day :)

Question: Find the circumference of the circle to the nearest hundredth

d = 11cm

Answer:

34.54 cm

Step-by-step explanation:

Applying,

P = πd...................... Equation 1

Where P = Circumference of perimeter of the circle, d = diameter of the circle, π = pie

From the question

Given: d = 11 cm

Constant: π = 3.14

Substitute these values into equation 1

P = (3.14×11)

P = 34.54 cm

Answer:

0---22.5   and    21---36

Step-by-step explanation:

you will always have 21 free CDs so you can put a closed circle on 21 then you can have a max of 15 CDs (180/12) soo put another closed circle on 36

now time for tapes, which is easier, the minimum is 0 and the max is 22.5. Now put closed circles on each and you're done. Except that .5 might get you in trouble, use your own discretion on rather to leave it on the .5 or round. I don't know what your teacher is looking for so I will let you decide.

Answer:

- 8

Step-by-step explanation:

Given

x² - 64 = 0 ( add 64 to both sides )

x² = 64 ( take the square root of both sides )

x = ± [tex]\sqrt{64}[/tex] = ± 8

Solutions are x = 8 and x = - 8

Answer: There are two solutions and they are

theta = 135

theta = 225

=============================================================

Explanation:

Recall that x = cos(theta). Since the given cosine value is negative, this indicates x < 0. Theta is somewhere to the left of the y axis, placing it in quadrant 2 or quadrant 3.

It turns out there are two solutions, with one solution per quadrant mentioned above. Use the unit circle to find that the two solutions are:

theta = 135

theta = 225

You're looking for points on the unit circle that have x coordinate equal to x = -sqrt(2)/2. Those two points correspond to the angles of 135 and 225, which are in quadrants 2 and 3 respectively.

--------

I recommend using your calculator to note that

-sqrt(2)/2 = -0.70710678

cos(135) = -0.70710678

cos(225) = -0.70710678

The decimal values are approximate. Make sure your calculator is in degree mode. Because those three results are the same decimal approximation, this indicates that cos(135) = cos(225) = -sqrt(2)/2.

Answer:

Step-by-step explanation:

When we transpose - 4x to the LHS then it becomes positive i.e +4x

Now we transpose 28 to the RHS then it becomes negative i.e - 28

So the first step you have to is,

4x = - 12 - 28