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3 years ago

Give an equation that goes through the line 3,-1 that is parallel to 6x-5

2 answers:

8 0

Lines that are parallel have the same slope, and the given line (y = 6x - 5) has a slope of 6; we are looking for a line with a slope of 6.
To form an equation for a line, you need to know the y-intercept (the point at which the line intersects the y-axis). The first step to finding the y-intercept is to plot the given point. After you've done that, count six units up (this is our slope) and one to the right; plot the point. Lastly, draw the line by connecting the points and see where the line intersects the y-axis.
My graph shows that the line intersects the y-axis at -17. All that's left now is to put our information together into an equation. I'm assuming the problem wants the equation in slope-intercept form; slope-intercept form is y = mx + b where m is the slope and b is the y-intercept, so it would look like this:
y = 6x -17

Hope this helps.

Serhud [2]3 years ago

3 0

The answer to your question is y = 6x -17

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Generate the first three terms of the following sequence 4n² - 2n + 3

Jet001 [13]

Answer:

=15

=33

Step-by-step explanation:

$n = 1 \\ 4 {n}^{2} - 2n + 3 \\ 4 \times 1 \times 1 - 2 \times 1 + 3 \\ 4 - 2 + 3 \\ 2 + 3 \\ = 5$

$n = 2 \\ 4 {n}^{2} - 2n + 3 \\ 4 \times 2 \times 2 - 2 \times 2 + 3 \\ 16 - 4 + 3 \\ 12 + 3 \\ = 15$

$n = 3 \\ 4 {n}^{2} - 2n + 3 \\ 4 \times 3 \times 3 - 2 \times 3 + 3 \\ 36 - 6 + 3 \\36 - 3 \\ = 33$

8 0

3 years ago

Trina collects eggs from her hens.

s344n2d4d5 [400]

Answer:

56% of her eggs were medium in may

Step-by-step explanation:

if 20% of the eggs she collected in May were small, 24% of the eggs she collected in May were large. All you have to do is add them up which is 44% and minus it by 100% which is 56%

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4 0

3 years ago

Hi, can someone please help me? trying to graduate :(

ehidna [41]

Answer:

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

here m = - 2 , then

y = - 2x + c ← is the partial equation

to find c substitute (3, - 2 ) into the partial equation

- 2 = - 6 + c ⇒ c = - 2 + 6 = 4

y = - 2x + 4 ← equation of line in slope- intercept form

7 0

2 years ago

What number is it that, when multiplied by 18,27,36,45,54,63,72,81, or 99, gives a product in which the first and last figures a

allsm [11]

The given multipliers are factors of 9, the possible number will have 1 as first and last digit which gives the number as 101

<h3>How can the correct number be found?</h3>

The given numbers are;

18, 27, 36, 45, 54, 63, 72, 81, 99

Given that the first and the last figures are those of the multipliers, we have;

The first and last and last digit of the number can be 1, which gives;

Possible numbers includes; 11 and 101

By trying the possible numbers, the difference found is presented as follows;

99 × 11 = 1089 (The first and the last digit are not the same as the multiplier)

99 × 101 = 9999 (First and last digit are not the same as the multiplier)

90 × 11 = 990

90 × 101 = 9090

The correct option is therefore 101

The number is 101

Learn more about multiplication of numbers here:

brainly.com/question/83239

#SPJ1

6 0

2 years ago

Jeanie completed a 27 mile duathlon (a race that is a combination of running and biking) in exactly 2 hours. she ran an average

-Dominant- [34]

<span>Let x = the miles Jeanie ran y = the miles Jeanie biked T = 2 hours total time for the duathlon v1 = 8.5 mph Jeanie's running speed and v2 = 16 mph Jeanie's biking speed But T = Jean's time she ran t1 + time she biked t2 I. e t1 + t2 = 2 So we have average speed v2 when she biked = distance (y) / time (t2) Distance y = v2 * t2 = 16 * t2 and distance when she ran x = 8.5 * t1 Since she covered 27 miles while running and biking we have x + y = 27 8.5t1 + 16t2 =27 ------(1) t1 + t2 = 2 --------------(2) The simultaneous equation gives us t1 = 2/3 and t2 which is time she biked = 4/3 So 4/3 = 1 1/3. Which is 1 hour 20 minutes</span>

8 0

4 years ago