In the figure ABC DEF

sergejj [24]

This problem is a difference of squares. So to solve this you want to factor it out so you get two numbers that multiple to -9 and add to 0. That would be -3 and 3

f(x)=(x-3)(x+3)

So your solution when you set f(x) to 0 would be -3 and 3.

7 0

2 years ago

Which graph represents the function f(x)=4⋅3x ?<br> Please help!!!

S_A_V [24]

Answer:

Option D is correct.

Step-by-step explanation:

An exponential function is in the form of $y =ab^x$ where a is the initial value and b≠ 0 , b >1 .

Given: The function f(x) = y = $4 \cdot 3^x$ ......[1]

The domain is all real numbers and the range is y > 0.

y-intercept defined as the graph crosses the y-axis.

Substitute the value of x= 0 in [1] to solve for y;

y = $4 \cdot 3^0$ = 4

y-intercept = (0, 4)

End behavior:

when b =3 >1

then;

as $x \rightarrow \infty$ , $f(x)\rightarrow \infty$

as $x \rightarrow -\infty$ , $f(x)\rightarrow 0$

therefore, the only graph which represents the function y = $4 \cdot 3^x$ is Option D

6 0

2 years ago

Help ASAP. Find the value of x.

Veronika [31]

(3x+1) = 64
3x = 63
3x/3 = 63/3
x = 21

5 0

2 years ago

Find the volume of each figure round to the near tenth only number 2 pls it’s 20 points

Nana76 [90]

Answer:

2094.4yds cubed

Step-by-step explanation:

V=pi*r^2*h/3

V=pi*100*20/3

V≈2094.4

6 0

3 years ago

Match the mathematical expression with its translation

egoroff_w [7]

Answer:

$\begin{array}{cc}\text{Mathematical expression}&\text{Translation}\\ \\xy&\text{The product of two numbers}\\ \\\dfrac{x}{y}&x\text{ divided by }y\\ \\x-y&x\text{ minus }y\\ \\x+y&\text{the sum of }x\text{ and }y\\ \\y-x&x\text{ subtracted from }y\\ \\y:x&y\text{ divided by } x\\ \\x+y=6&\text{the sum of two numbers is 6}\\ \\xy=6&\text{the product of two numbers is 6}\\ \\6x=y&\text{6 times a number equals }y\\ \\y=x-6&\text{6 less than a number is }y\end{array}$

Step-by-step explanation:

$\begin{array}{cc}\text{Mathematical expression}&\text{Translation}\\ \\xy&\text{The product of two numbers}\\ \\\dfrac{x}{y}&x\text{ divided by }y\\ \\x-y&x\text{ minus }y\\ \\x+y&\text{the sum of }x\text{ and }y\\ \\y-x&x\text{ subtracted from }y\\ \\y:x&y\text{ divided by } x\\ \\x+y=6&\text{the sum of two numbers is 6}\\ \\xy=6&\text{the product of two numbers is 6}\\ \\6x=y&\text{6 times a number equals }y\\ \\y=x-6&\text{6 less than a number is }y\end{array}$

6 0

2 years ago