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3 years ago

13

Choose the true statement about the graph of x < 4.

1 answer:

kolezko [41]3 years ago

5 0

Answer:

The answer is 3 because the sign does not have the equal to line underneath it so its open the number its less than is four and anything less than is open to the left.

Step-by-step explanation:

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Triangle ABC is similar to triangle YBX. Find the value of n. The figure is not drawn to scale.

tatiyna

Answer:

16

Step-by-step explanation:

Set up a proportion: 27/12=36/n

Solve algebraically: 27n=432

n=16

Therefore, 16

5 0

3 years ago

Can someone pls help me fast

Bezzdna [24]

The slope is 1

Hope I didn't mess up for your sake

7 0

3 years ago

Read 2 more answers

F(x) = 3x^3 - 2x^2 - 11x + 10; (x + 2)<br><br> I need to factor and find the zeros.

Ratling [72]

Answer:

$\textsf{Factored function}: \quad f(x)=(x+2)(3x-5)(x-1)$

$\textsf{Zeros}: \quad x=-2, \quad x=\dfrac{5}{3},\quad x=1$

Step-by-step explanation:

<u>Given function</u>:

$f(x)=3x^3-2x^2-11x+10$

If (x + 2) is a factor then:

$\implies f(x)=(x+2)(ax^2+bx+c)$

Expand:

$\implies f(x)=ax^3+bx^2+cx+2ax^2+2bx+2c$

$\implies f(x)=ax^3+2ax^2+bx^2+2bx+cx+2c$

$\implies f(x)=ax^3+(2a+b)x^2+(2b+c)x+2c$

To find <em>a</em>, compare the coefficients of x³:

$\implies a=3$

To find <em>b</em>, substitute the found value of <em>a</em> into the coefficient for x² and compare:

$\implies 2a+b=-2$

$\implies 2(3)+b=-2$

$\implies b=-8$

To find <em>c</em>, compare the constants:

$\implies 2c=10$

$\implies c=5$

Therefore:

$\implies f(x)=(x+2)(3x^2-8x+5)$

Now factor (3x²-8x+5):

$\implies 3x^2-3x-5x+5$

$\implies 3x(x-1)-5(x-1)$

$\implies (3x-5)(x-1)$

Therefore the factored function is:

$\implies f(x)=(x+2)(3x-5)(x-1)$

<u>Zero Product Property</u>

$\boxed{\text{If \; $a \cdot b = 0$ \; then either \; $a = 0$ \;or \;$b = 0$ (or both)}.}$

To find the zeros, set each factor equal to zero and solve for x:

$\implies x+2=0 \implies x=-2$

$\implies 3x-5=0 \implies x=\dfrac{5}{3}$

$\implies x-1=0 \implies x=1$

Therefore, the zeros of the function are:

$x=-2, \quad x=\dfrac{5}{3},\quad x=1$

3 0

1 year ago

How do I solve this I need help??

Nimfa-mama [501]

Answer:

Follow the instructions on the sheet. I believe this is an example question, so it doesn't need to be solved.

8 0

3 years ago

Which statements about the Extreme Value theorem are true?

SCORPION-xisa [38]

Answer:

do you have any statments?

5 0

3 years ago