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3 years ago

Question is in the image

Mathematics

1 answer:

Mrac [35]3 years ago

4 0

B is your answer. Just count it. That’s if black goes to blue.

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Debra found that 6 of the 24 students in her class own a cell phone . What is the ratio of students that own a cell phone to stu

ale4655 [162]

6:18 students in Debra's class own a cellphone. Because there are 24 people in total. Minus the people who already own cellphones. Leaving 18 without cellphones. The ratio is people who have cellphones to people who do not.
24-6=18. Thus, the ratio would be 6:18

8 0

3 years ago

The graph of g(x) is a transformation of the graph of f(x)=3x. Enter the equation for g(x) in the box. G(x) =.

dalvyx [7]

Function transformation involves changing the form of a function

The function g(x) is $\mathbf{g(x) = 8(2)^x}$

The function is given as:

$\mathbf{f(x) = 3^x}$

g(x) is an exponential function that passes through points (-2,2) and (-1,4).

An exponential function is represented as:

$\mathbf{y = ab^x}$

At point (-2,2), we have:

$\mathbf{2 = ab^{-2}}$

At point (-1,4), we have:

$\mathbf{4 = ab^{-1}}$

Divide both equations

$\mathbf{\frac 42=\frac{ab^{-1}}{ab^{-2}}}$

Simplify

$\mathbf{2=\frac{b^{-1}}{b^{-2}}}$

Apply law of indices

$\mathbf{2=b^{-1+2}}$

$\mathbf{2=b}$

Rewrite as:

$\mathbf{b =2}$

Substitute 2 for b in $\mathbf{2 = ab^{-2}}$

$\mathbf{2 =a(2^{-2})}$

This gives

$\mathbf{2 =a(\frac 14)}$

Multiply both sides by 4

$\mathbf{a = 8}$

Substitute 8 for (a) and 2 for (b) in $\mathbf{y = ab^x}$

$\mathbf{y = 8(2)^x}$

Express as a function

$\mathbf{g(x) = 8(2)^x}$

Hence, the function g(x) is $\mathbf{g(x) = 8(2)^x}$

Read more about exponential functions at:

brainly.com/question/11487261

8 0

2 years ago

Two similar triangles are shown.

Evgen [1.6K]

Answer:

the answer to this question is 1

8 0

2 years ago

Read 2 more answers

The larger leg of a right triangle is 3cm longer than its smaller leg. The hypotenuse is 6cm longer than the smaller leg. how ma

Natalka [10]

$b=a+3\\
c=a+6\\
a^2+b^2=c^2\\\\
a^2+(a+3)^2=(a+6)^2\\
a^2+a^2+6a+9=a^2+12a+36\\
a^2-6a-27=0\\
a^2-9a+3a-27=0\\
a(a-9)+3(a-9)=0\\
(a+3)(a-9)=0\\
a=-3 \vee a=9\\
$

The length can't be negative, so the answer is 9 cm.

5 0

2 years ago

Read 2 more answers

Please need help thank

olga nikolaevna [1]

Answer:

2.25

Step-by-step explanation:

6 · 3/8 = 18/8 = 2.25

7 0

3 years ago