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OleMash [197]
3 years ago
10

Write an equation in point-slope then convert into slope-intercept for a line that passes through (-4,1) with a slope of 3/2

Mathematics
1 answer:
Alexandra [31]3 years ago
8 0

Answer:

y = 3/2x + 7

Step-by-step explanation:

y - 1 = 3/2 (x + 4)

y = 3/2x + b

1 = 3/2(-4) + b

1 = -6 + b

7 = b

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A chemical company makes two brands of antifreeze. The first brand is 40% pure antifreeze, and the second brand is 60% pure anti
Semenov [28]

Answer:

Step-by-step explanation:

Let x be the portion of 60%

180 - x is the portion of 40%

0.60x + 0.40(180 - x) = 0.55(180)

0.60x + 72 - 0.40x = 99

0.20x = 27

x = 135

180 - 135 = 45

First brand = 45 gallons of 40%

Second Brand = 135 gallons of 60%

4 0
3 years ago
Which expression is equivalent to (-1.3x-4.5) - (-2.1x+3.6)?
timurjin [86]

Equivalent expressions are expressions with the same value.

The equivalent expression of (-1.3x - 4.5)- (-2.1x + 3.6) is 0.8x -8.1

Given that:

(-1.3x - 4.5)- (-2.1x + 3.6)

Open brackets

(-1.3x - 4.5)- (-2.1x + 3.6) = -1.3x - 4.5+ 2.1x - 3.6

Collect like terms

(-1.3x - 4.5)- (-2.1x + 3.6) = -1.3x + 2.1x - 4.5 - 3.6

(-1.3x - 4.5)- (-2.1x + 3.6) = 0.8x -8.1

Hence, the equivalent of (-1.3x - 4.5)- (-2.1x + 3.6) is 0.8x -8.1

Read more about equivalent expressions at:

brainly.com/question/18257981

6 0
3 years ago
Amy purchased 17 pencils and 18 pens for a fund-raiser at school and spent $61.50. Jocelyn purchased 10 pencils and 21 pens and
tresset_1 [31]
Let,
pencils be "x"
pens be "y"

According to the question,
17x + 18y = 61.50   ----------> equation (1)
10x + 21y = 57 -----------------> equation (2)

Now,
Taking equation (1),
17x + 18y = 61.50
         18y = 61.50 - 17x
            y = (61.50 - 17x ) / 18 -----> equation (3)

Now, substituting the value of "y" in equation (2), we get,

10x+21( \frac{61.50-17x}{18} )=57

10x+7( \frac{61.50-17x}{6} )=57

10x+ \frac{430.50-119x}{6}=57

10x* \frac{6}{6} + \frac{430.50-119x}{6}=57

\frac{60x}{6} + \frac{430.50-119x}{6}=57

\frac{430.50+60x-119x}{6}=57

430.50-59x=57*6

430.50-59x=342

59x=430.50-342

x=\frac{88.5}{59}

x=1.5

Now,
Substituting the value of "x" in equation (3), we get,

y =\frac{61.50-17x}{18}

y =\frac{61.50-17(1.5)}{18}

y =\frac{61.50-22.5}{18}

y =\frac{39}{18}

y =2.17

y =2   approx. (rounded)

So, Each pencil costs $1.5 and each pen costs $2.




8 0
3 years ago
Graph the inequality below on the number line.<br><br><img src="https://tex.z-dn.net/?f=%20y%20%3E%206" id="TexFormula1" title="
gogolik [260]
This is the answer I hope this helps

6 0
3 years ago
What is the final step in solving the inequality –2(5 – 4x) &lt; 6x – 4?
Akimi4 [234]

Answer:

–2(5 – 4x) < 6x – 4

<=>

-10 + 8x < 6x - 4

<=>

2x < 6

<=>

x < 3

Hope this helps!

:)

8 0
3 years ago
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