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2 years ago

6

What is the coefficient in the expression below? 7b + 10

2 answers:

Dima020 [189]2 years ago

8 0

Answer:

7

Step-by-step explanation:

a coefficient is is the number being multiplied by the variable, and in this case 7 is being mulitiplied by b, making it the coefficient.

mylen [45]2 years ago

5 0

Answer:

Equation : 7b+10

Therefore, cofficient of b is 7

<h2>7 is the right answer.</h2>

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Ebert used to make $22 an hour, but got a 10% raise. How much more will he make in a 40 hour work week with the raise? pls halp

Simora [160]

Answer:

He will make $88 more a week then he did before.

Step-by-step explanation:

10% of $22 is 2.2.

2.2*40=88

7 0

2 years ago

53 x + 4 < 7<br> how is this graphed on a number line ?

ValentinkaMS [17]

Answer:

Solve for x first.

54x + 4 < 7

54x < 7 - 4

54x < 3

x < 3 / 54

x < 1/18

So the value is less than 1/18.

To draw on the number line, draw from point 1/18 to the back with an arrow to represent that x is any number less than 1/18.

4 0

3 years ago

Find three angles, two positive and one negative, that are coterminal with the given angle: −5π18.

Marianna [84]

One would be 2pi - 5pi/18 = 31pi/18
another positive one is 31pi/18 + 36pi/18 = 67pi/18
and the negative angle is -5pi/18 - 36pi/18 = -41pi/18

The answer is b

8 0

3 years ago

What’s the slope of the line that goes through (9,9) and (-8,9) ?

denpristay [2]

Answer:

0

Step-by-step explanation:

9-9/9--8

0/17

0

5 0

3 years ago

Will mark brainliest!!!plz helppp

muminat

Answer:

(5,-6)

Step-by-step explanation:

ONE WAY:

If $f(x)=x^2-6x+3$ , then $f(x-2)=(x-2)^2-6(x-2)+3$ .

Let's simplify that.

Distribute with $-6(x-2)$ :

$f(x-2)=(x-2)^2-6x+12+3$

Combine the end like terms $12+3$ :

$f(x-2)=(x-2)^2-6x+15$

Use $(x-b)^2=x^2-2bx+b^2$ identity for $(x-2)^2$ :

$f(x-2)=x^2-4x+4-6x+15$

Combine like terms $-4x-6x$ and $4+15$ :

$f(x-2)=x^2-10x+19$

We are given $g(x)=f(x-2)$ .

So we have that $g(x)=x^2-10x+19$ .

The vertex happens at $x=\frac{-b}{2a}$ .

Compare $x^2-10x+19$ to $ax^2+bx+c$ to determine $a,b,\text{ and } c$ .

$a=1$

$b=-10$

$c=19$

Let's plug it in.

$\frac{-b}{2a}$

$\frac{-(-10)}{2(1)}$

$\frac{10}{2}$

$5$

So the $x-$ coordinate is 5.

Let's find the corresponding $y-$ coordinate by evaluating our expression named $g$ at $x=5$ :

$5^2-10(5)+19$

$25-50+19$

$-25+19$

$-6$

So the ordered pair of the vertex is (5,-6).

ANOTHER WAY:

The vertex form of a quadratic is $a(x-h)^2+k$ where the vertex is $(h,k)$ .

Let's put $f$ into this form.

We are given $f(x)=x^2-6x+3$ .

We will need to complete the square.

I like to use the identity $x^2+kx+(\frac{k}{2})^2=(x+\frac{k}{2})^2$ .

So If you add something in, you will have to take it out (and vice versa).

$x^2-6x+3$

$x^2-6x+(\frac{6}{2})^2+3-(\frac{6}{2})^2$

$(x+\frac{-6}{2})^2+3-3^2$

$(x+-3)^2+3-9$

$(x-3)^2+-6$

So we have in vertex form $f$ is:

$f(x)=(x-3)^2+-6$ .

The vertex is (3,-6).

So if we are dealing with the function $g(x)=f(x-2)$ .

This means we are going to move the vertex of $f$ right 2 units to figure out the vertex of $g$ which puts us at (3+2,-6)=(5,-6).

The $y-$ coordinate was not effected here because we were only moving horizontally not up/down.

3 0

3 years ago