What is the value of x in the figure below

Answer:

Step-by-step explanation:

-2x < 10

divide both sides by -2

x > -5

note that the direction of the inequality changes

Answer:

f(1)=65

Step-by-step explanation:

Answer:

Relationship is proportional ;

8 oranges

Step-by-step explanation:

Oranges (lb) 2 ___ 3 ____5 ___?

Price ($) __ 3 ___4.50___7.50_12

For proportionality :

Oranges = k * price

Where, k = constant of proportionality

2 = 3k

k = 2 /3

k = 0.666666

Using k :

Number of oranges at price = 4.50 should be:

0.66666 * 4.50 = 3

Number of oranges at price = 7.50 should be:

0.66666 * 7.50 = 5

Hence, relationship is proportional

Number of oranges at $12

0.66666 * 12 = 8

Answer:

28°

Step-by-step explanation:

Let's take 'x' as the number of how much degrees it dropped. So this is how the equation will look like:

-2 - x = -30

It is '-x' since the temperature 'decreased', so you must a subtract.

Take -30 to the other side and substitute it with '-x'. Since both the terms are shifted, -30 will be +30 and -x will be +x (which is equivalent to x).

x = -2 + 30

x = 28°

∴ There was a 28° drop.

Answer:

-6 is the y coordinate

Step-by-step explanation:

Answer:

see explanation

Step-by-step explanation:

sinA = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{BC}{AB}[/tex] = [tex]\frac{6\sqrt{3} }{12}[/tex] = [tex]\frac{\sqrt{3} }{2}[/tex]

cosA = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{AC}{AB}[/tex] = [tex]\frac{6}{12}[/tex] = [tex]\frac{1}{2}[/tex]

tanA = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{BC}{AC}[/tex] = [tex]\frac{6\sqrt{3} }{6}[/tex] = [tex]\sqrt{3}[/tex]

Answer:

i'm pretty sure its c

Step-by-step explanation:

have a great day!!

Answer:

The quadratic equations and their solutions are;

9 ± √33 /4 = 2x² - 9x + 6.

4 ± √6 /2 = 2x² - 8x + 5.

9 ± √89 /4 = 2x² - 9x - 1.

4 ± √22 /2 = 2x² - 8x - 3.

Explanation:

Any quadratic equation of the form, ax² + bx + c = 0 can be solved using the formula x = -b ± √b² - 4ac / 2a. Here a, b, and c are the coefficients of the x², x, and the numeric term respectively.

We have to solve all of the five equations to be able to match the equations with their solutions.

2x² - 8x + 5, here a = 2, b = -8, c = 5.                                                  x = -b ± √b² - 4ac / 2a = -(-8) ± √(-8)² - 4(2)(5) / 2(2) = 8 ± √64 - 40/4.     24 can also be written as 4 × 6 and √4 = 2. So                                                                                     x = 8 ± 2√6 / 2×2= 4±√6/2.

2x² - 10x + 3, here a = 2, b = -10, c = 3.                                                   x =-b ± √b² - 4ac / 2a =-(-10) ± √(-10)² - 4(2)(3) / 2(4) = 10 ± √100 + 24/4. 124 can also be written as 4 × 31 and √4 = 2. So                                                                              x = 10 ± 2√31 / 2×2 = 5 ± √31 /2.

2x² - 8x - 3, here a = 2, b = -8, c = -3.                                                    x = -b ± √b² - 4ac / 2a = -(-8) ± √(-8)² - 4(2)(-3) / 2(2) = 8 ± √64 + 24/4.     88 can also be written as 4 × 22 and √4 = 2. So                                                                             x = 8 ± 2√22 / 2×2 = 4± √22/2.

2x² - 9x - 1, here a = 2, b = -9, c = -1.                                                     x = -b ± √b² - 4ac / 2a = -(-9) ± √(-9)² - 4(2)(-1) / 2(2) = 9 ± √81 + 8/4.                                          x = 9 ± √89 / 4.

2x² - 9x + 6, here a = 2, b = -9, c = 6.                                                    x = -b ± √b² - 4ac / 2a = -(-9) ± √(-9)² - 4(2)(6) / 2(2) = 9 ± √81 - 48/4.                                                                             x = 9 ± √33 / 4 .

Step-by-step explanation:

Answer:

length is 10, width is 7

Step-by-step explanation:

Area of a rectangle = length * width = lw

Area is known to be 70

length = twice width - 4 = 2w-4 = l

width=w

so A = lw = (2w-4)w = 70

(2w-4)w=70

2w^2-4w=70

2w^2-4w-70=0, divide by 2

w^2 - 2w - 35 = 0, not sure how your class solves these, I see visually

(w-7)(w+5)=0

w=7 or w=-5, -5 makes no sense in the real world (negative length), so w=7

l = 2w-4 = 2(7)-4 = 14-4 = 10

Answer:

Step-by-step explanation:

Multiply all terms by the same value to eliminate fraction denominators

36/x=8/7

x times 36/x=x times 8/7

Cancel multiplied terms that are in the denominator

cancel both x’s for you should have 36=x times 8/7

Combine multiplied terms into a single fraction

36=8x/7

Multiply all terms by the same value to eliminate fraction denominators

36=8x/7 so you multiply 7 times 36=7 times 8x/7

so you simplify so you get 252=8x

then you Divide both sides of the equation by the same term

252=8x     252/8=8x/8 so you get 63/2

so your final answer is x=63/2

I hope that I helped you have a nice day or night!

Answer:

8

Step-by-step explanation:

2^3 will be coefficient so 8

Answer:

- 4, - 3, - 2, - 1, 0

Step-by-step explanation:

Given

- 2 < n + 3 < 4 ( subtract 3 from each interval )

- 5 < n < 1

This indicates that n ≠ - 5, 1 but all values in between, that is

n = - 4, - 3, - 2, - 1, 0 ← possible values of n

Answer:

$44.80

Step-by-step explanation:

Answer:

9240 feet

Step-by-step explanation:

Petrov ran 7 laps around a track.Each lap around the track is a distance of 1/4 mile.

Step 1

The total distance Petrov ran in miles is calculated as:

1 lap = 1/4 mile

7 laps = x mile

Cross Multiply

x = 7 × 1/4 mile

x = 1.75 miles

Step 2

What is the total distance Petrov ran in feet?

1 mile = 5280 feet

1.75 miles = x

Cross Multiply

x = 1.75 × 5280 feet

x = 9240 feet

Therefore, the total distance Petrov ran in feet is 9240 feet

Answer:

If Ron works 8 hours a day and get's paid $15 an hour

for 5 days a week and works for 12 weeks

1 hour = $15

8 hours = $120

So Ron get's paid $120 a day

So if he works 5 days a week then

120 x 5 = $600

Ron get's paid $600 a week

So if Ron works for 12 weeks then

600 x 12 = $7,200

Ron's gross pay is $7,200

Step-by-step explanation:

[tex]-3x-2(5x-7)=-12\\-3x-10x+14=-12\\-13x=-26\\x=2\\\\y=5(2)-7\\y=10-7\\y=3[/tex]

Answer:

[tex](x, y) = (-\frac{29}{2}, -12)[/tex]

Step-by-step explanation:

[tex]-12 = 5 x ( -\frac{29}{2} ) - 7 - 3 x ( -\frac{29}{2} ) - 2 x (-12) = -12[/tex]

Answer:

10x-4y-6

Step-by-step explanation:

-3x+2y-6+13x-6y

-3x+13x+2y-6y-6

10x-4y-6

Answer:

Step-by-step explanation:

Answer:x is less than 4

Step-by-step explanation:

Answer:

um function

Step-by-step explanation:

3rd

bubble

?

Answer:

i dont know :(

Step-by-step explanation:

i dont know :(

Answer: you can buy 6 of them because 39.78 divided by 6.63 equals 6.

Step-by-step explanation:

Answer:

6 packs of batteries

hope it helps

Answer:

the total amount collected is 2,665

Step-by-step explanation:

The computation of the total amount collected is shown below:

= price × number of tickets sold × price + number of tickets sold × price + price

= 14 × 15 × 10 + 56 × 10 + 5

= 2,100 + 560 + 5

= 2,665

Hence, the total amount collected is 2,665

Answer:

0.3

Step-by-step explanation:

Answer:

0.33333. it goes on forever.

Answer:

that seem pretty hard but i think ik it

Answer:

The answer is 36

Step-by-step explanation:

First, suppose that each square is the unit length, and from it the length of the hall can be calculated and we find that it is equal to 10, then to find the value of the other two we drop a column of the vertex of the triangle on the base and find that its length is 12 units and it divides the base into two equal halves, so we determine that each side equals 13 units using Pythagoras and it will be The lengths of the sides of the triangle are 10, 13, 13

Then the perimeter is

[tex]10 + 13 + 13 = 36[/tex]

Answer: 3/10

Step-by-step explanation:

1/5 isn’t equivalent to it

Answer:

Just random ones?

1/2, 1/3, 1/4, 1/6, 1/7

Step-by-step explanation: