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3 years ago

What are the solutions to this quadratic equation? -2x^2 + x + 4 = 0

Mathematics

1 answer:

lyudmila [28]3 years ago

5 0

Answer:

the third one

Step-by-step explanation:

use quadratic equation

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How fast was a driver going if the car left skid marks that were 48 feet long on dry concrete? (The coefficient of friction is 1

Savatey [412]

Answer:

B) 38 mph

Step-by-step explanation:

s = √(30df)

s is the speed the car was traveling (in mph)

d is the distance the car skidded (in feet)

f is the coefficient of friction

s = √(30 x 48 x 1.02)

s = 38.32492661... = 38

5 0

3 years ago

Eli wants to combine 0.5 gallon of a 10% acid solution with some 35% acid solution to make a 15% acid solution. Which equation c

Alex17521 [72]

Answer:

Equation is $0.5 \text{ gal }\times(0.1)+ x\text{ gal }\times (0.35)=(0.5 + x)\times (0.15)$

0.125 gallons of the 35% acid solution Eli should add.

Step-by-step explanation:

Given : Eli wants to combine 0.5 gallon of a 10% acid solution with some 35% acid solution to make a 15% acid solution.

To find : Equation can you use to determine how many gallons of the 35% acid solution Eli should add?

Solution :

Let x be the gallons of the 35% acid solution.

According to question,

For 0.5 gallon of a 10% acid solution = $0.5\times 0.1$

For x gallon of a 35% acid solution = $x\times 0.35$

For (0.5+x) gallon of a 15% acid solution = $0.5+x\times 0.15$

The equation form is

$0.5 \text{ gal }\times(0.1)+ x \text{ gal }\times(0.35)= (0.5+x)\times (0.15)$

Solving the above equation,

$0.05+0.35x = 0.075 + 0.15x$

$0.2x = 0.025$

$x =\frac{0.025}{0.2}$

$x=0.125$

Therefore, 0.125 gallons of the 35% acid solution Eli should add.

The equation is $0.5 \text{ gal }\times(0.1) + x \text{ gal }\times(0.35) =(0.5 + x)\times (0.15)$

3 0

3 years ago

Read 2 more answers

The midpoint AB is M (-1,1). If the coordinates of A are (-6,-3), what are the coordinates of B

Ratling [72]

Answer:

coordinates of B is ( 4,5)

Step-by-step explanation:

If there two points (x1,y1) and (x2,y2) on a plane then coordinates of mid point is given by

m = (x1+x2)/2 , (y1+y2)/2

Given

m = (-1,1)

A= (-6, -3)

we have to point b

let point b be (x,y)

Then m (-1,1) is given by (-6+x)/2 , (-3+y)/2

(-6+x)/2 = -1

-6 + x = 2*-1 = -2

x = -2+6 = 4

also

(-3+y)/2 = 1

=> -3 + y = 2

=> y = 2 + 3 = 5

Thus , coordinates of B is ( 4,5) answer

5 0

3 years ago

What is the value of 2021 − 2223 + 2425 ? ?

Amanda [17]

Answer:

2223

Step-by-step explanation:

We need to find the value of 2021-2223+2425.

Firstly subtract 2223 from 2021.

2021-2223 = -202

Now add -202 and 2425. So,

2425 +(-202) = 2223

So, the value of 2021-2223+2425 is 2223. Hence, this is the required solution.

3 0

3 years ago

Luke hiked 6 1/4 miles . Joana hiked 2 1/5 times as far .How far did Joana hiked

vazorg [7]

Answer:

$6 \frac{1}{4} =\frac{25}{4} \\\\2 \frac{1}{5} = \frac{11}{2}\\\\$

$\frac{25}{4} \times \frac{11}{2} = \frac{275}{8}=34 \frac{3}{8}$ (Amount Jona hiked)

3 0

4 years ago