The answer, I’ve been stuck on this and stressed out.

Mathematics

1 answer:

expeople1 [14]3 years ago

6 0

10 times that should be the answer

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Given the function f(x) = 4(x+3) − 5, solve for the inverse function when x = 3.

natulia [17]

$f(x)=4(x+3)-5 \\ f(x)=4x+12-5 \\ f(x)=4x+7 \\ \\
\hbox{solve for x:} \\
y=4x+7 \\
y-7=4x \\
x=\frac{y-7}{4} \\ \\
\hbox{swap x and y:} \\
y=\frac{x-7}{4} \\ \\
f^{-1}(x)=\frac{x-7}{4} \\
f^{-1}(3)=\frac{3-7}{4}=\frac{-4}{4}=-1 \\
\boxed{f^{-1}(3)=-1}$

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2 years ago

Use the distributive property to write an equivalent expression. 6(12+3)

Rufina [12.5K]

Answer:

Step-by-step explanation:

= 6(12+3)

= 6*12 + 6*3

= 72 + 18

= 90

6 0

2 years ago

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nikitadnepr [17]

Answer:

y = (1/4)x - 3

Step-by-step explanation:

The slope-intercept form is y = mx + b. Here we are told that the line passes through (-8, -5) and that its slope is 1/4 (is that correct?).

Substituting -5 for y, -8 for x and 1/4 for m, we get an equation for the y-intercept, b:

-5 = (1/4)(-8) + b, or

-5 = -2 + b, so b = -3, and the desired equation is

y = (1/4)x - 3

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2 years ago

A player rolls a pair of standard dice. Find the probability P(sum is at least 3)

Nezavi [6.7K]

D because there are 6 sides to a dice and there are 3 options where the number is bigger than 3. Therefore 3/6 = 15/30

8 0

3 years ago

Is 5/8 more than 11/20

alexdok [17]

5/8 is more than 11/20

If we find the lower common multiple of the denominators which is 160 then we can multiply the top numerators by the opposite denominators

5x20=100
11x8=88

We now have
$\frac{100}{160} and \frac{88}{160}$

The one on the left is simplified to 5/8 and the right is simplified to 11/20

5 0

2 years ago

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