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Annette [7]
4 years ago
8

What are the solutions to 7x^2+10x-3=x^2+3x

Mathematics
1 answer:
marysya [2.9K]4 years ago
7 0

Answer:

x = 1 / 3

x = -1.5

Step-by-step explanation:

First move everything onto one side.

6x^2 + 7x - 3 = 0

Divide by 6:

x^2 + 7/6x - 0.5 = 0

Now, you can move the 0.5 to the other side because it is determined that this is not factorable.

x^2 + 7/6x = 0.5

Now you have to complete the square.

Take 1 / 2 of 7 / 6 and square it.

49 / 144

x^2 + 7/6x + 49/144 = 0.5 + 49/144

(x + 7 / 12)^2 = 121 / 144

Square root:

x + 7 / 12 = ±11 / 12

x = 1 / 3, x = -1.5

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The area of a rectangle is 252 cm², and the length is 3 less than 2 times the width. Find the dimensions of the rectangle.
SSSSS [86.1K]

Answer:

21cm, 12cm

Step-by-step explanation:

width=x cm

length=2x-3 cm

area= 252cm²

l*b= 252 cm²

(2x-3)(x)=252

2x²-3x= 252

this is how I did it

we need to find the nearest square of the number (it should be lesser than the area)

that is 225, whose square root is 15.

since there is a coefficient to the x², the value of x would be calculate like this 15- (2+1)= 15-3 = 12

x= 12

we can verify it too,

2*(12)² - 3*12=252

288-36=252

252=252

therefore width is 12 cm and width is 2*12-3= 24-3= 21 cm

verify;

21*12= 252

252=252

hence the dimensions are 12 am (width) and 21 cm(length).

3 0
3 years ago
What's 4.50+4.50+2.39+2.39+1.99? What's the answer minus 25?? pls halp meh '-'
Anna [14]
4.50+4.50=9.00=9
+
2.39+2.39=4.78
+
1.99
=
15.77

15.77-25=-9.23
7 0
3 years ago
What percent of 96 is 32? please explain your answer.​
timama [110]

Answer:

Roughly 33%

Step-by-step explanation:

8 0
4 years ago
Read 2 more answers
At the beginning of the day, you have a 30-oz bottle of medication. if each dose is 1/2 oz, how many doses in total do you have?
Feliz [49]
Your answer would be 60 ounces.
7 0
3 years ago
Which line is parallel to the line that passes through the points (1,7) and (-3, 4)? A. y=--x-5 B. y=+*+1 y=-x-8 O c. D. 11 v==x
uysha [10]

Answer:

B

Step-by-step explanation:

because

3 0
3 years ago
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