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1 year ago

What is (4x-3)(7x+6)?

Mathematics

2 answers:

andre [41]1 year ago

5 0

Answer:

$28x^{2} + 3x - 18$

professor190 [17]1 year ago

4 0

Answer:

28x^2+3x-18

Step-by-step explanation:

Formula: (a+b)(a+b) = a^2 + a*b + a*b + b*b

Following this: 28x^2 -21x +24x -18

Then you combine like terms: 28^2 +3x-18

hope this helped!! :)

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murzikaleks [220]

Answer:

$\begin{cases}y=-5x+1\\y=5x-4 \end{cases}$

Step-by-step explanation:

Slope-intercept form of a linear equation:

$\boxed{y=mx+b}$

where:

m is the slope.
b is the y-intercept (where the line crosses the y-axis).

Slope formula

$\boxed{\textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}}$

Equation 1

Define two points on the line:

$\textsf{Let }(x_1,y_1)=(-1, 6)$

$\textsf{Let }(x_2,y_2)=(0, 1)$

Substitute the defined points into the slope formula:

$\implies \textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{1-6}{0-(-1)}=-5$

From inspection of the graph, the line crosses the y-axis at y = 1 and so the y-intercept is 1.

Substitute the found slope and y-intercept into the slope-intercept formula to create an equation for the line:

$y=-5x+1$

Equation 2

Define two points on the line:

$\textsf{Let }(x_1,y_1)=(1, 1)$

$\textsf{Let }(x_2,y_2)=(0, -4)$

Substitute the defined points into the slope formula:

$\implies \textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{-4-1}{0-1}=5$

From inspection of the graph, the line crosses the y-axis at y = -4 and so the y-intercept is -4.

Substitute the found slope and y-intercept into the slope-intercept formula to create an equation for the line:

$y=5x-4$

Conclusion

Therefore, the system of linear equations shown by the graph is:

$\begin{cases}y=-5x+1\\y=5x-4 \end{cases}$

Learn more about systems of linear equations here:

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5 0

10 months ago

Read 2 more answers

Provide in simplest form 12% of 40

AnnZ [28]

To get 10% of 40, you move the decimal point one way to the left. So 10% of 40 is 4
Now you need 2% and because you know 10% is 4, you divide that by 10 and multiply it by 2 because of the 2%
4/10=.4 .4•2=.8
Now you add them
4+.8=4.8
12% of 40 is 4.8

7 0

2 years ago

Tommy has a bag of LEGOs. There are 6 yellow, 3 red, and 8 blue LEGOs. What is the ratio, in simplest fraction form, of red to y

gladu [14]

Answer:

3:6

Step-by-step explanation:

8 0

2 years ago

Read 2 more answers

A youth group has 25 members. A. If at least 12 of the members are male, write an inequality to represent the number of female m

Eddi Din [679]

Answer:

x ≥ 12

y ≤ 25 - x

Step-by-step explanation:

Given:

Number of total members = 25

Number of at least male members = more than 12

Find:

Inequality

Computation:

Assume number of female members = y

So,

x ≥ 12

And

y ≤ 25 - x

8 0

2 years ago

Ben rents a car for one day. The charge is $20 plus the $.12 per mile. He wants to spend exactly $80. how many miles can he driv

Klio2033 [76]

Ben can drive the car for exactly 500 miles

3 0

2 years ago