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3 years ago

Divide the following polynomial, then place the answer in the proper location on the grid.

Mathematics

2 answers:

olga55 [171]3 years ago

8 0

Answer:

$6x^{2} +11x-35 \div 3x-5=2x+7$

Step-by-step explanation:

The given polynomials are

$6x^{2} +11x-35$

$3x-5$

If we divide them by the long method, the process would be as shows the image attached.

So, by long division, the quotient between the given polynomials would be

$6x^{2} +11x-35 \div 3x-5=2x+7$

We can demonstrate this by multiplying $(3x-5)(2x+7)$

$(3x-5)(2x+7)=6x^{2} +21x-10x-35=6x^{2} +11x-35$

beks73 [17]3 years ago

6 0

6x² + 11x - 35 = (3x - 5)(2x + 7)

=> (3x - 5)(2x + 7)/(3x - 5)

i.e. 2x + 7...........as the 3x - 5 term cancels.

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On a coordinate plane, 2 straight lines are shown. The first solid line has a positive slope and goes through (0, negative 2) an

ExtremeBDS [4]

Answer:

$y\geq x-2$

$x+2y$

Step-by-step explanation:

step 1

Find the equation of the first inequality

Find the equation of the first solid line

we have the ordered pairs

(0,-2) and (2,0)

Find the slope

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

substitute the values

$m=\frac{0+2}{2-0}$

$m=\frac{2}{2}$

$m=1$

The equation in slope intercept form is equal to

$y=mx+b$

we have

$m=1$

$b=-2$ ---> the y-intercept is given

substitute

$y=x-2$

Remember that

Everything to the left of the solid line is shaded

The inequality is

$y\geq x-2$

step 2

Find the equation of the second inequality

Find the equation of the second dashed line

we have the ordered pairs

(0,2) and (4,0)

Find the slope

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

substitute the values

$m=\frac{0-2}{4-0}$

$m=\frac{-2}{4}$

$m=-\frac{1}{2}$

The equation in slope intercept form is equal to

$y=mx+b$

we have

$m=-\frac{1}{2}$

$b=2$ ---> the y-intercept is given

substitute

$y=-\frac{1}{2}x+2$

Remember that

Everything below and to the left of the line is shaded

The inequality is

$y$

Rewrite

Multiply by 2 both sides

$2y$

$x+2y$

therefore

The system of inequalities is

$y\geq x-2$

$x+2y$

see the attached figure to better understand the problem

5 0

3 years ago

Read 2 more answers

Calculate the speed in km/hour of a car that travels 24 km in 120 minutes

bonufazy [111]

Answer:

Step-by-step explanation:

120 minutes is 2 hours so you just divide 24 by 2 :)

8 0

3 years ago

Read 2 more answers

Using the order of operations PEMDAS, what is the 1st that you would do when solving this equation (4x + 3) - 5 + 10

Dima020 [189]

P-arentheses

E-xponents

M-ultiply

D-ivide

A-dd

S-ubstitute

Therefore, You Would Do What Is In Parenthesis First!

6 0

3 years ago

Read 2 more answers

Daniel wanted to know his approximate score on the final exam for his mathematics class. His professor hinted that his score was

frozen [14]

Answer: 101.69

Step-by-step explanation:

Formula we use to find the z-score :-

$z=\dfrac{x-\mu}{\sigma}$ (1)

Given : $\mu=90$

$\sigma=7$

Daniel's z score : z= 1.67

Let x be the raw score for Daniel's exam grade, then substitute the values of $\mu,\ \sigma\ and \ x$ in (1), we get

$1.67=\dfrac{x-90}{7}\\\\\Rightarrow\ x-90=7\times1.67\\\\\Rightarrow\ x=11.69+90=101.69$

Hence, the raw score for Daniel's exam grade = 101.69

3 0

3 years ago

8/9=x+1/3(7) solve with steps

Annette [7]

Answer:

x=-13/9

Step-by-step explanation:

8/9=x+7/3

8/9-7/3=x

8/9-(3)7/9=x

8/9-21/9=x

-13/9=x

I hope this helped. If you have any questions, please feel free to ask them.

4 0

3 years ago