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Anna [14]
3 years ago
14

Choose the appropriate plan letter for each question

Mathematics
1 answer:
torisob [31]3 years ago
3 0

c is the lowest range

a has the highest y incerpt

d is the best value

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which method of solving the quadratic equation would be the easiest to find the soulution for 2x^2 - 4x-3=0
svetlana [45]
Solve for x over the real numbers:
2 x^2 - 4 x - 3 = 0

Divide both sides by 2:
x^2 - 2 x - 3/2 = 0

Add 3/2 to both sides:
x^2 - 2 x = 3/2

Add 1 to both sides:
x^2 - 2 x + 1 = 5/2

Write the left hand side as a square:
(x - 1)^2 = 5/2

Take the square root of both sides:
x - 1 = sqrt(5/2) or x - 1 = -sqrt(5/2)

Add 1 to both sides:
x = 1 + sqrt(5/2) or x - 1 = -sqrt(5/2)

Add 1 to both sides:
Answer: x = 1 + sqrt(5/2) or x = 1 - sqrt(5/2)
6 0
3 years ago
the length of the longer leg of a right triangle is 3 ft more than three times the length of the shorter leg. the length of the
Ulleksa [173]

with the pythagorean theorem

\begin{gathered} (4+3x)^2=x^2+(3+3x)^2 \\ 16+24x+9x^2=x^2+9+18x+9x^2 \\ 16+24x+9x^2=10x^2+18x+9 \\ 16+24x+9x^2-9=10x^2+18x+9-9 \\ 9x^2+24x+7=10x^2+18x \\ 9x^2+24x+7-18x=10x^2+18x-18x \\ 9x^2+6x+7=10x^2 \\ 9x^2+6x+7-10x^2=10x^2-10x^2 \\ -x^2+6x+7=0 \end{gathered}

using the formula of the quadratic equation

\begin{gathered} x_{1,\: 2}=\frac{-b\pm\sqrt{b^2-4ac}}{2a} \\ x1=\frac{-6+\sqrt{6^2-4\left(-1\right)\cdot\:7}}{2\left(-1\right)}=-1 \\ x2=\frac{-6-\sqrt{6^2-4\left(-1\right)\cdot\:7}}{2\left(-1\right)}=7 \end{gathered}

the length cannot be negative, therefore x=7

length of the shorter leg is: 7ft

length of the longer leg is: 3+3(7)= 24ft

length of the hypotenuse is: 4+3(7)= 25ft

5 0
1 year ago
All of the ingredients are purchased in bulk sizes. The butter comes in 12-cup containers. How many recipes will each container
Citrus2011 [14]

Answer:

some information is missing, so I looked for similar questions and found the attached image:

since each recipe requires ¹/₂ cup of butter, you are able to make 12 ÷ ¹/₂ = 24 recipes with one container of butter (assuming you have all the other ingredients).

One-half, ¹/₂, is a fraction that can also be written in decimal form as 0.5. Two times ¹/₂ is equal to 1, and similarly, twenty four times ¹/₂ is equal to 12.

4 0
3 years ago
8x+5y=40 How to find a slope
ololo11 [35]

Answer:

the slope is -8/5

Step-by-step explanation:

we need to get the equation in the form

y= mx+b  where m is the slope and b is the y intercept

8x + 5y =40

subtract 8x from each side

8x-8x + 5y = -8x +40

5y = -8x+40

divide each side by 5

5y/5 = -8x /5 + 40/5

y = -8/5 x +8

the slope is -8/5 and the y intercept is 8

8 0
4 years ago
2x+90=7x<br><br><br><br>please explain it step-by-step ​
horrorfan [7]

Answer:

Step-by-step explanation:

2x+90=7x

2x=7x-90

2x-7x=-90

-5x+-90

x=18

6 0
3 years ago
Read 2 more answers
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