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What is the inverse of [tex]f(x)=-2x+7\\[/tex]
[tex]f^{-1} (x) =2x-\frac{7}{2}[/tex]
[tex]f^{-1} (x)=-2x+7[/tex]
[tex]f^{-1} (x)=\frac{1}{2}x-\frac{7}{2}[/tex]
[tex]f^{-1} (x)=-\frac{1}{2} x+\frac{7}{2}[/tex]

It is given that ️PQR & ️UVW are congruent to each other. According to CPCT, the corresponding angles in 2 triangles willl have the same measure. So, ∠R = ∠W, i.e, (10x - 18)° = 8x°

[tex]\mathfrak{10x - 18 = 8x} [/tex]

[tex]\mathfrak{10x - 8x = 18} [/tex]

[tex]\mathfrak{2x = 18} [/tex]

[tex]\mathfrak{x = \dfrac{18}{2}} [/tex]

[tex]\underline{\mathfrak{x = 9}} [/tex]

Measure of ∠R :

[tex]\mathfrak{8x} [/tex]

[tex]\mathfrak{8(9)} [/tex]

[tex]\boxed{\mathfrak{72^{\circ}}} [/tex]

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Answer:

because of the gravity of the earth

Answer:

5x+50

Step-by-step explanation:

Answer:

-7(4-x)≥-18+7x

-28+7x≥-18+7x

7x-7x≥-18+28

x≥10

Step-by-step explanation:

Based on the information given, the percentage of time that'll be required to meet the policy will be 10%.

From the complete information, the probability distribution will be:

= 1/(b - a) = 1/(30 - 10) = 1/20

Since the company policy requires employees to be less than 12 minutes late for work, the percentage of the time that Oliver will meet company policy will be:

= (12 - 10) × 1/20

= 2 × 1/20

= 1/10

= 10%

In conclusion, the correct option is 10%.

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Answer:

circumference=2×3.142×radius

radius=16.8÷2=8.4

so,

circumference=52.7856cm

Answer:

Step-by-step explanation:

Answer:

Royce took out a 3 year loan to purchase a car at 4.5% simple interest. If he pays $405 in interest, how much principal did he borrow?

Answer:

Solution here,

Principal=?

Time =3 year

Rate of percent= 4.5

SIMPLE intrest=$405

Now

Principal=(SIMPLE INTREST × 100)/(TIME × RATE)

=$40500/13.5

=$3000

Answer:

9

Step-by-step explanation:

ED: DC = 3:1

AB : BC = 3:1

AB: 3 = 9

Answer:

AB = 9

Step-by-step explanation:

Tale's theorem

[tex]\frac{12}{4} =\frac{AB}{3}[/tex]

[tex]AB=\frac{(12)(3)}{4} =\frac{36}{4} =9[/tex]

Hope this helps

Answer:

T78=150

Step-by-step explanation:

Tn=a+(n-1)d

T78=-4+(78-1)2

T78 =-4+(77)2

T78 =-4+154

T78=150

Answer:

[tex]{ \tt{C - 9 \geqslant 9}} \\ \\ { \tt{C \geqslant 9 + 9}} \\ \\ { \rm{answer}} : \: { \tt{C \geqslant 18}}[/tex]

Answer:

24

Step-by-step explanation:

$2 divided by 4 equals 50 cents

50 cents per copy

$12 will get you 24 copies

Answer:

24 copies

Step-by-step explanation:

$2 ----- 4 copies

$1 ----- 4 ÷2= 2 copies

$12 ----- 2(12)= 24 copies

Alternatively, we can present our working this way:

For every $2, 4 copies can be made.

Number of sets of $2 in $12

= $12 ÷$2

= 6

Since there are 6 sets of $2 and each set of $2 can make 4 copies,

number of copies

= 6(4)

= 24 copies

Answer:

15 dots

Step-by-step explanation:

formula :: 1/2 x n ( n +1 )

fig 1 ; 1 /2 x 1 ( 1+1 ) = 1 dot

fig 2 :; 1/2 x 2 ( 2+1 ) = 3 dots

......

fig 5 :: 1/2 x 5 ( 5+1 ) = 15 dots

Answer:

53.4

Step-by-step explanation:

8.9 × 6 = 53.4

Hope it help !

Answer:

The area of the large rectangle = the sum of the areas of the three smaller rectangles

areas of the smaller rectangles are : 2a, 3a, and 4a respectively

Therefore the area of the lage rectangle = 2a + 3a + 4a

The sum of the area of all the rectangles will be 2a + 3a + 4a.

Let W be the rectangle's width and L its length.

The area of the rectangle is the multiplication of the two different sides of the rectangle. Then the rectangle's area will be

Area of the rectangle = L×W square units

The dimensions of the rectangle are 2 by a, 3 by a, and 4 by a.

The area first rectangle is given as,

⇒ 2 × a

⇒ 2a

The area second rectangle is given as,

⇒ 3 × a

⇒ 3a

The area third rectangle is given as,

⇒ 4 × a

⇒ 4a

The total area of the rectangle will be given as,

A = 2a + 3a + 4a

More about the area of the rectangle link is given below.

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Answer:

Ive alredy answered your quesiton but what ever

20%

43*0.8=34.4

Hope This Helps!!!

The horizontal asymptote of the function [tex]g(x) = \frac{4x}{7}[/tex] is 4

Given the function, [tex]g(x) = \frac{4x}{7}[/tex], the horizontal asymptote is the coefficient of the variable of the function at the numerator.

From the given function, the expression at the numerator is 4x.

Similarly for the expression h(x) = 4x, the coefficient of the expression is 4

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Answer: C

Step-by-step explanation: because if you use substutuion you get it from proccess of elimaniation

Answer:

Hope it will help you...

Answer:

try the 3rd one

Step-by-step explanation:

if it's not right then i'm sorry

Answer:

Below!

Step-by-step explanation:

The slope is un-defined because the x axis on both points are the same. Therefore, the slope is un-defined.

Hoped this helped.

[tex]BrainiacUser1357[/tex]

Answer:

2:3

2 to 3

or a fraction bar

Step-by-step explanation:

Answer:

In mathematics, a ratio indicates how many times one number contains another. For example, if there are eight oranges and six lemons in a bowl of fruit, then the ratio of oranges to lemons is eight to six (that is, 8∶6, which is equivalent to the ratio 4∶3).

3 different ways you can write that ratio-

1)  4 to 3

2)  4:3

3)  4/3 (fraction)

Step-by-step explanation:

hope this helped:)

Answer:

[tex] \sqrt{8} [/tex]

Step-by-step explanation:

an

irrational number can only be written in the form with never ending,non-repeatinng digits after the decimal comma

Step-by-step explanation:

(f+g)(x) means we just add the 2 functions, so we have

(x-3) + 2x² = 2x² + x - 3

(f-g)(x) means we subtract g(x) from f(x), so we have

(x-3) - (2x²) = -2x²+x-3

Assuming that the dot signifies a multiplication sign and not a composition  sign, we have

(f*g)(x) = f(x) * g(x)

= (x-3) * 2x²

= 2x³ - 6x²

Plugging -2 in, we get

2(-2)³-6(-2)² = -16 -24 = -40

Answer:

70%

Step-by-step explanation:

Percentage is out of 100

35/50 change denominator

multiply both numerator and denominator by 2

70/100= 70%

Answer:

19

Step-by-step explanation:

You had 6 dollars and your mom gave you 5. 6 + 5 = 11.

You dad gave you 8 dollars.

11 + 8 = 19

Answer:

19 dollars

Step-by-step explanation:

5+6+8=19

If you started off with 6 dollars and your mom gave you 5 you now have 11. If your dad gave you another 8 on top of the 11 you already had you now have 19.

Answer:

F

Step-by-step explanation:

Domain is all x values that the graph passes through. Therefore, it starts at x=0 and ends at x=230 with no breaks so the domain is anywhere between 0 and 230.

The amount of money  he could have in savings after two more years is:c. $1,315. 06.

First step is to calculate the 12 month saving

Saving= 12 month × $103.19

Saving = $1238.28

Second step is to calculate the interest earned

Interest = Prt

Interest= $1238.28×·0.031×1

Interest= $38.39

Third step is to calculate the balance after 2 years

Saving= $1238.28 +(2 years × $38.39)

Saving= $1238.28 +$76.78

Saving= $1315.06

Inconclusion the amount of money  he could have in savings after two more years is:c. $1,315. 06.

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Answer:

Kite A ascends to a height of 36 feet

Step-by-step explanation:

21 + 15 = 36

Answer:

Kite A is now at 36 feet.

Step-by-step explanation:

Ascend means go up, so adding 15 to 21 gives you your answer.