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Len [333]
3 years ago
15

What is the solution of the equation?

Mathematics
1 answer:
Cerrena [4.2K]3 years ago
5 0

\dfrac{5}{2s} + \dfrac 3 4 = \dfrac{9}{2s}

Common denominator 4s, let's multiply through,

10 + 3s = 9

3s = -1

s = -1/3

Check:

5/(-2/3) + 3/4 = -15/2+3/4 = -27/4

9/4s = 9/(-4/3) = -27/4, good

Answer: s=-1/3

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Jim washes 2/3 of his car with 1/2 a bottle of soap. What fraction of the soap will he use to clean his entire car?​
Sunny_sXe [5.5K]

Answer:

if he uses 1/2 for 2/3, then you can divide 2/3 and 1.2 by 2 to get the remaining soap needed to complete the wash

so to clean the last 1/3 of the car, he`ll use 1/4 of the remaining soap

the entire car needs <u><em>3/4 of a bottle of soap</em></u>

3 0
2 years ago
Passes through (1,9) slope=2
quester [9]

Answer:

y=2x+7

Step-by-step explanation:

y-y1=m(x-x1)

y-9=2(x-1)

y=2x-2+9

y=2x+7

4 0
3 years ago
Which equation represents y = −x2 + 6x + 7 in vertex form? y = −(x + 3)2 + 4 y = −(x − 3)2 + 10 y = −(x + 3)2 + 2 y = −(x − 3)2
Colt1911 [192]

\text{The vertex form:}\ y=a(x-h)^2+k\\\\f(x)=ax^2+bx+c\to h=\dfrac{-b}{2a},\ k=f(h)\\\\\text{We have}\ y=-x^2+6x+7\to f(x)=-x^2+6x+7\\\\a=-1,\ b=6,\ c=7\\\\h=\dfrac{-6}{2(-1)}=\dfrac{-6}{-2}=3\\\\k=f(3)=-3^2+6(3)+7=-9+18+7=16\\\\Answer:\ \boxed{y=-(x-3)^2+16}

8 0
3 years ago
Find y and x values please
Aleonysh [2.5K]
(-2,6) iissssssss the answer
3 0
3 years ago
When Tomas simplified the expression -2.6 + (-5.4), he got 2.8. what mistake did Tomas likely make?
vladimir2022 [97]

Tomas used incorrectly the rule of signs, the expression should be simplified as follows:

-2.6 + (-5.4)

-2.6 -5.4 = 8

<h3></h3><h3>What mistake did Tomas likely make?</h3>

Here Tomas wants to perform an addition between two numbers:

-2.6 + (-5.4)

And the outcome that Tomas gets is:

-2.6 + (-5.4) = 2.8

Here his mistake seems to bee that he thought the second number was a positive number, and he solved the operation:

-2.6 + 5.4

So, he used wrong the rule of signs.

Remember that the rule of signs says that:

(-)*(+) = (+)*(-) = (-)

Using that, we can rewrite the original expression:

-2.6 + (-5.4)

to:

-2.6 - 5.4

Solving that, we get:

-2.6 - 5.4 = -8

Which is the outcome that Tomas would have gotten if he had used correctly the rule of signs.

If you want to learn more about the rule of signs:

brainly.com/question/13333620

#SPJ1

5 0
2 years ago
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