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Ratling [72]
3 years ago
14

This is my problem. I need help ​

Mathematics
1 answer:
koban [17]3 years ago
7 0

Answer:

1: -3

2: She gives him $3 per week

3: 18

4: How much money she initially borrowed

5: y = -3x + 18

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Solve this equation for x: 2x^2 + 12x - 7 = 0
zhannawk [14.2K]

Answer:

x=0.5355 or x=-6.5355

First step is to: Isolate the constant term by adding 7 to both sides

Step-by-step explanation:

We want to solve this equation: 2x^2 + 12x - 7 = 0

On observation, the trinomial is not factorizable so we use the Completing the square method.

Step 1: Isolate the constant term by adding 7 to both sides

2x^2 + 12x - 7+7 = 0+7\\2x^2 + 12x=7

Step 2: Divide the equation all through by the coefficient of x^2 which is 2.

x^2 + 6x=\frac{7}{2}

Step 3: Divide the coefficient of x by 2, square it and add it to both sides.

Coefficient of x=6

Divided by 2=3

Square of 3=3^2

Therefore, we have:

x^2 + 6x+3^2=\frac{7}{2}+3^2

Step 4: Write the Left Hand side in the form (x+k)^2

(x+3)^2=\frac{7}{2}+3^2\\(x+3)^2=12.5\\

Step 5: Take the square root of both sides and solve for x

x+3=\pm\sqrt{12.5}\\x=-3\pm \sqrt{12.5}\\x=-3+ \sqrt{12.5}, $ or $x= -3- \sqrt{12.5}\\$x=0.5355 or x=-6.5355

6 0
3 years ago
Several students were asked to name the kinds of animals they saw in the past week at the park. Determine the ratio that compare
SVETLANKA909090 [29]

Answer:

A. 1:8

Step-by-step explanation:

We have been given that several students were asked to name the kinds of animals they saw in the past week at the park.

Dogs: 8

Cat: 2

Fish: 4

Lizard: 2

We are asked to find the ratio that compares the number of cats seen to the total number of animals seen.

Let us find total number of animal by adding each type of animals as:

\text{Total animals}=8+2+4+2

\text{Total animals}=16

We can see that the students saw 2 cats, so ratio of cats to total animals would be 2:16.

Dividing 2 and 16 by 2, we will get:

\frac{2}{2}:\frac{16}{2}\Rightarrow 1:8

Therefore, the ratio 1:8 compares the number of cats seen to the total number of animals seen and option A is the correct choice.

5 0
3 years ago
you are building a rectangular wading pool you want the area of the bottom to be 90 ft squared you want the length of the pool t
Sindrei [870]
L=2W+3, A=LW, using L from the first in the second gives you:

A=(2W+3)W

A=2W^2+3W, and we are told A=90 so

2W^2+3W=90

2W^2+3W-90=0

2W^2-12W+15W-90=0

2W(W-6)+15(W-6)=0

(2W+15)(W-6)=0, since W>0 for all real possibilities, 

W=6ft, and since L=2W+3

L=15ft

So the pool will be 6 ft wide by 15 ft long.
5 0
3 years ago
A quarter is 1/4 of a dollar. Victor has 32 quarters. how much money does he have
Vikentia [17]

Answer:

its actually a 1/4 of a dollar so it would be 8 dollars

Step-by-step explanation:

32 divided by 4 = 8

hope i helped

8 0
3 years ago
How would you solve this equation? 12m=84
I am Lyosha [343]

Answer:

m=7

Step-by-step explanation:

12m=84

Divide each side by 12

12m/12 =84/12

m =7

8 0
3 years ago
Read 2 more answers
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