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bekas [8.4K]
2 years ago
13

The equation 4x2 8x 15 = 0 is being rewritten in vertex form. fill in the missing step. given 4x2 8x 15 = 0 step 1 4(x2 2x ___)

15 ___ = 0 step 2 ✔ step 3 4(x 1)2 11 = 0 4(x2 2x 1) 15 − 4 = 0 4(x2 2x 1) 15 − 1 = 0 4(x2 2x 2) 15 − 2 = 0 4(x2 2x 4) 15 − 4 = 0
Mathematics
1 answer:
aleksandr82 [10.1K]2 years ago
3 0

Answer:

a) <em>is</em><em> </em><em>the</em><em> </em><em>correct</em><em> </em><em>answer</em>

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Estimate 416x9 then find thw product
Alla [95]
3771,
Estimate: Calculate
Product: Answer
416 x 9 = 3771.
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3 years ago
Damon plans to buy a snowboard that cost $160. Damon has $40. He will save $20 each week until he has enough to buy the snowboar
Gekata [30.6K]

Answer:  It will take Damon 6 weeks to save the money he needs to buy the snowboard

Step-by-step explanation:

First, let's see what the problem is giving us:

-The variable X will represent the number of weeks it will take Damon to save the money he needs.

- Damon has $40

- Damon is going to safe $20 weekly

- The snowboard costs $160

Therefor:

Our equation will be:  $40 + $20X = $160

Step 1

We need to isolate the variable by subtracting in both sides of the equation 40 in order to maintain the equality.

40 - 40 + 20X = 160 - 40

This will let us with 20X = 120

Step 2

We have to isolate the variable again, but this time (because the variable is being multiplied by 20) we have to divide on both sides of the equation.

20X/20 = 120/20

Therefore: X=6

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4 0
3 years ago
Read 2 more answers
Write the equation in slope-intercept form and find the equation of a line through the given point (a) parallel and (b) perpendi
skelet666 [1.2K]

keeping in mind that parallel lines have the same exact slope, hmmm what's the slope of 4x - 2y = 3 anyway?  well, let's put it in slope-intercept form firstly.


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a)


so we're looking for a line whose slope is 2 and passes through 2,1.


\bf (\stackrel{x_1}{2}~,~\stackrel{y_1}{1})~\hspace{10em}&#10;slope = m\implies 2&#10;\\\\\\&#10;\stackrel{\textit{point-slope form}}{y- y_1= m(x- x_1)}\implies y-1=2(x-2)&#10;\\\\\\&#10;y-1=2x-4\implies \blacktriangleright y=2x-3 \blacktriangleleft


b)


\bf \stackrel{\textit{perpendicular lines have \underline{negative reciprocal} slopes}}&#10;{\stackrel{slope}{2\implies \cfrac{2}{1}}\qquad \qquad \qquad \stackrel{reciprocal}{\cfrac{1}{2}}\qquad \stackrel{negative~reciprocal}{-\cfrac{1}{2}}}&#10;\\\\[-0.35em]&#10;\rule{34em}{0.25pt}


\bf (\stackrel{x_1}{2}~,~\stackrel{y_1}{1})~\hspace{10em}&#10;slope = m\implies -\cfrac{1}{2}&#10;\\\\\\&#10;\stackrel{\textit{point-slope form}}{y- y_1= m(x- x_1)}\implies y-1=-\cfrac{1}{2}(x-2)&#10;\\\\\\&#10;y-1=-\cfrac{1}{2}x+1\implies \blacktriangleright y=-\cfrac{1}{2}x+2 \blacktriangleleft

4 0
3 years ago
Fill in the blank with the equation of the line shown for each representation below (y = mx + b). **Pay attention to the scale o
ruslelena [56]

Answer:

y= 2x + 4

Step-by-step explanation:

8 0
3 years ago
You work at a dog food factory. The factory makes 10,600 kilograms of dog food a day. How many metric tons of dog food does the
bonufazy [111]
1 metric ton = 1,000 kilograms

To convert from kilograms to metric tons, divide by 1,000.

10,600÷1,000=10.6 metric tons
3 0
3 years ago
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