MATHEMATICS MIDDLE SCHOOL

Find the solutions to the equation below
Check all that apply.
2x2 +9x + 4 = 0

Answers

Answer 1

Answer:

Answer:

Step-by-step explanation:

Use quadratic formula:

x=((-b+-sqrt(b^2-4ac))/2a

x=((-9+-sqrt(9^2-4(2)(4))/2(2)

x=((-9+-sqrt(81-32))/4

x=((-9+-sqrt(49))/4

x=(-9+-7)/4

Solution 1:

x=-2/4

x=-1/2

Solution 2:

x=-16/4

x=-4

Now we check:

2(-1/2)^2+9(-1/2)+4=2/4+-9/2+4=1/2+-9/2+4=-8/2+4=-4+4=0 (x=-1/2 works)

2(-4)^2+9(-4)+4=2(16)+(-36)+4=32-36+4=-4+4=0 (x=-4 works)

So the solutions of the equation are x=-1/2 and x=-4

Answer 2

Answer:

in this case

a=2 b=9 c4

for this equation we have the formula

x1/2 = (-b +- (root of) b2 -4ac) /2a

x1/2 = (-9 +- (root of) 81- 4×2×4)/2×2

x1/2= (-9 +- (root of) 81-32)/4

x1/2 = (-9 +- (root of) 49/4

x1/2 = (-9 +- 7)/4

x1= -9+7/4

x1=-2/4

x1=-1/2

x2= -9-7/4

x2= -16/4

x2= -4

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PLZ HELP!!!!!!!! due in 30 minutes im timed!

Answers

Option D:

Difference between g(x) and f(x) is 44.

Solution:

Let us first write the function of f(x).

Take any two points on the line (0, -1) and (-2, 0).

Here, $x_1=0, y_1=-1, x_2=-2, y_2=0$

Equation of a line:

$$(y-y_1)/(x-x_1) =(y_2-y_1)/(x_2-x_1)$

$$(y-(-1))/(x-0) =(0-(-1))/(-2-0)$

$$(y+1)/(x) =(1)/(-2)$

Do cross multiplication.

-2(y + 1) = x

-2y - 2 = x

Add 2 on both sides.

-2y = x + 2

Divide by -2 on both sides.

$$y=-(1)/(2)x-1$

y = -0.5x - 1

f(x) = -0.5x - 1

At x = 20,

f(20) = -0.5(20) - 1 = -11

g(x) = 1.5x + 3

g(20) = 1.5(20) + 3 = 33

Difference between g(x) and f(x)

= g(20) - f(20)

= 33 - (-11)

= 33 + 11

= 44

Difference between g(x) and f(x) is 44.

Option D is the correct answer.

the members of the drama club used .5 of the school gymnasium floor space to build a stage for a play. the drama club used .4 of this part of the gymnasium floor to build a backstage area. write an equation.

Answers

Hello,

If this is the case, i would division.

4 devided by 5 is 1 reminder 1.

Plz mark brainliest

*i think i got it right!*

What percent of 67 is 26.8

Answers

If you would like to know what percent of 67 is 26.8, you can calculate this using the following steps:

x% of 67 is 26.8
x% * 67 = 26.8
x/100 * 67 = 26.8 /*100/67
x = 26.8 * 100 / 67
x = 40%

Result: 40% of 67 is 26.8.

26.8 is 40% of 67 :))

I cant even figure this out XDA company filled gallon cans with 848 quarts of gas. How many gallon cans did the company need?

Answers

1 gallon = 4 quarts

so

848 quarts × 1 gallon/4 qt=
848/4 = 212 gallons

They needed 212 gallon cans.

Answer:

212

Step-by-step explanation:

They needed 212 gallon cans

During a science investigation, 6 students divided 15 pounds of potting soil equally. Write an equation that shows how many pounds of potting soil each student received.