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3 years ago

(3x^2 + 2x -8) + (4x^2 -5x +6)

1 answer:

4 0

Hello!

You can only add like terms

3x^2 + 4x^2 = 7x^2

2x + -5x = -3x

-8 + 6 = -2

The answer is 7x^2 - 3x - 2

Hope this helps!

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3 3/4 ÷ (1 2/3 + 2 1/2)

ZanzabumX [31]

Answer:

9/10.

Step-by-step explanation:

3 3/4 ÷ (1 2/3 + 2 1/2)

= 3 3/4 / ( 5/3 + 5/2)

= 3 3/4 / ( 10/6 + 15/6)

= 3 3/4 / 25/6

= 15/ 4 / 25/6

= 15/4 * 6/25

= 90/100

= 9/10.

4 0

2 years ago

On Friday, a local hamburger shop sold a combined total 312 of hamburgers and cheeseburgers. The number of cheeseburgers sold wa

Rainbow [258]

Answer:

total number of hamburger =312

total number of cheeseburger=2x312

=624

Step-by-step explanation:

the answer is 624

8 0

3 years ago

Write the equation of the line that passes through the points (-6,5) and (3,−5). Put your answer in fully reduced point-slope fo

elena55 [62]

Answer:

$\displaystyle y-5=-\frac{10}{9}(x+6)$

Or:

$\displaystyle y+5=-\frac{10}{9}(x-3)$

Step-by-step explanation:

We want to write the equation of a line that passes through the points (-6, 5) and (3, -5) in point-slope form.

Point-slope form is given by:

$y-y_1=m(x-x_1)$

Thus, first, we need to find the slope. We can use the slope formula:

$\displaystyle m=\frac{\Delta y}{\Delta x}=\frac{(-5)-(5)}{(3)-(-6)}=\frac{-10}{9}=-\frac{10}{9}$

Next, we can use either of the two given points. I'll use (-6, 5). So, let (-6, 5) be (<em>x₁, y₁</em>). Substitute:

$\displaystyle y-(5)=-\frac{10}{9}(x-(-6))$

Or, fully simplified:

$\displaystyle y-5=\frac{-10}{9}(x+6)$

Using the other point, we will acquire:

$\displaystyle y-(-5)=-\frac{10}{9}(x-(3))$

Or, simplified:

$\displaystyle y+5=-\frac{10}{9}(x-3)$

8 0

3 years ago

Three functions are given below: f(x), g(x), and h(x). Explain how to find the axis of symmetry for each function, and rank the

LuckyWell [14K]

Answer:

1. x=8 is the line of symmetry for f(x) = -4(x − 8)2 + 3

2. x=-2 is the line of symmetry of g(x) = 3x2 + 12x + 15

3. x=3 is the line of symmetry of h(x), shown in the graph.

Step-by-step explanation:

To find the line of symmetry of a vertical parabola (second degree polynomial), find the value of x that sets the squared term to zero. This is a vertical line passing through the vertex of the second degree function.

1. f(x) = -4(x − 8)2 + 3

setting x=8 will give f(8) = 3, so x=8 is the line of symmetry

2. g(x) = 3x2 + 12x + 15

here, we need to complete the squares,

g(x) = 3x2 + 12x + 15

g(x) = 3(x^2+4x+5)

g(x) = 3(x^2 + 2(2x) +4 +1)

g(x) = 3((x+2)^2 +1)

So setting x=-2 will anihilate or cancel the squared term, therefore

x= -2 is the line of symmetry.

3. the curven shown in graph,

we see that the vertex is at x=3, so x=3 is the line of symmetry.

5 0

3 years ago

Let f(x) = (x+3) (x+1)^n ( x+2) ² what is the multiplicity of the zero of f at x=2?

nekit [7.7K]

Answer:

is c

Step-by-step explanation:

6 0

3 years ago