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3 years ago

Solve the following system of equations by linear combination: 5x 2y = 14 y = x – 7

1 answer:

4 0

I would use subsitution
y=x-7
sub x-7 for every x
5x+2(x-7)=14
5x+2x-14=14
add 14 to both sides
7x=28
divide both sides by 7
x=4
sub
y=x-7
y=4-7
y=-3

x=4
y=-3
(4,-3)

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Slope = four fifths ,y-intercept = -1

Nadya [2.5K]

Slope-intercept form:
y=mx+b

m=slope
b=y-intercept

Data:
m=4/5
b=-1

y=mx+b
y=(4/5)x-1

Answer: the equation of the line with slope=4/5, and y-intercept=-1 would be:
y=(4/5)x-1

5 0

3 years ago

Billy left home at 9 a.M. And rode his bicycle to the park at an average speed of 10 miles per hour here I got the park at 9:30

tamaranim1 [39]

Answer:

Park is <u>5 miles</u> from Billy's home.

Step-by-step explanation:

Given:

Billy left home at 9 a.m. And rode his bicycle to the park at an average speed of 10 miles per hour here and got the park at 9:30 a.m.

Now, to find the distance from park to Billy,s home.

Time it took Billy to rode his bicycle from park to home is from 9.30 a.m to 9.30 p.m.

So, the time = (9.30 - 9.00) = 30 minutes

$=\frac{30}{60}$ $=0.5\ hour.$

Speed = 10 miles per hour.

Now, to get the distance from park to Billy's home we put formula:

$Distance=Speed\times Time.$

$Distance=10\times 0.5$

$Distance=5\ miles.$

Therefore, park is 5 miles from Billy's home.

3 0

2 years ago

How do you do this question?

marishachu [46]

Answer:

100

Step-by-step explanation:

│an − L│< ε

│(1 − 1/n) − 1│< 1/100

│-1/n│< 1/100

1/n < 1/100

n > 100

3 0

3 years ago

What are the quotient and remainder of (x^5-x^3+-5) divided by (x-2)

pishuonlain [190]

Answer:

x⁴+2x³ +3x²+6x +12 r. $\dfrac{19}{x-2}$

Step-by-step explanation:

You can do this through synthetic division. It is a shorthand way of dividing polynomials.

First you need to make your divisor equal to zero so you can solve for what goes into the division box:

x - 2 = 0 → x = 2

The next step is to arrange your polynomials in descending powers. All missing terms, you will put in a zero.

x⁵ - x³ + (-5) → x⁵ + 0x⁴- x³ + 0x² + 0x + (-5)

Now you can proceed to synthetic division. Make an upside down division box with the divisor outside and the coefficients of the dividend listed, along with their sign. Leave a space below the divident

+2 | +1 0 -1 0 0 -5

|<u> </u>

Next you bring down the first coefficient:

+2 | +1 0 -1 0 0 -5

|<u> </u>

Then you multiply it by the divisor and write the product under the next coefficient:

+2 | +1 0 -1 0 0 -5

|<u> +2 </u>

Next add the column and put the sum below it:

+2 | +1 0 -1 0 0 -5

|<u> +2 </u>

+1 +2

Then multiply again and repeat until you reach the last coefficient:

+2 | +1 0 -1 0 0 -5

|<u> +2 +4 +6 +12 +24 </u>

+1 +2 +3 +6 +12 +19

Now that you have your results, add in the x and their powers. The powers will start with the highest power but 1 less than the dividend. Since the dividend's highest power is 5, then the quotient's highest power will be 4. Then write it in descending order :

+1x⁴ +2x³ +3x² +6x +12 +19

Now the last coefficient is your remainder. So your results will be:

x⁴+2x³ +3x²+6x +12 r. $\dfrac{19}{x-2}$

7 0

3 years ago

Read 2 more answers

Weapon of math destruction trig. day 1

ivolga24 [154]

The questions are illustrations of trigonometry ratios and right triangles