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2 years ago

Solve the quadratic by factoring. 4x2 – 13x + 7 = 4

Mathematics

1 answer:

nata0808 [166]2 years ago

4 0

Answer:

x=11/13

Step-by-step explanation:

Let's solve your equation step-by-step.

(4)(2)−13x+7=4

Step 1: Simplify both sides of the equation.

(4)(2)−13x+7=4

8+−13x+7=4

(−13x)+(8+7)=4(Combine Like Terms)

−13x+15=4

Step 2: Subtract 15 from both sides.

−13x+15−15=4−15

−13x=−11

Step 3: Divide both sides by -13.

−13x/−13=−11/−13

x=11/13

Brainliest?

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Which of the following describes the transformation of the graph y = x^2 in graphing y = -x^2 - 5?

Hitman42 [59]

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3 years ago

The length of a rectangle is 3 cm longer than its width. if the perimeter of the rectangle is 46 cm , find its area.

shusha [124]

A) L = W + 3
B) 2L + 2W = 46
Putting equation A into B
2 * (W+3) + 2W = 46
2W + 6 + 2W = 46
4W = 40
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Area = Length * Width
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3 years ago

PLEASE HELP! Daniela has a rectangular yard with a pool in the shape of a semicircle. How many square feet of grass does Daniela

GalinKa [24]

Answer:

Part 1) Area of rectangle $3,600\ ft^{2}$

Part 2) Area of semicircle $1,413\ ft^{2}$

Par 3) Total area of grass $2,187\ ft^{2}$

Step-by-step explanation:

we know that

The total area of grass is equal to the area of rectangle minus the area of semicircle

step 1

Find the area of rectangle

The area of rectangle is equal to

$A=45*80=3,600\ ft^{2}$

step 2

Find the area of semicircle

The area of semicircle is equal to

$A=\frac{1}{2}\pi r^{2}$

we have

$r=60/2=30\ ft$ -----> the radius is half the diameter

substitute

$A=\frac{1}{2}(3.14)(30)^{2}$

$A=1,413\ ft^{2}$

step 3

Find the total area of grass

$3,600\ ft^{2}-1,413\ ft^{2}=2,187\ ft^{2}$

3 0

2 years ago

An old truck has a fuel efficiency rating of 12 mpg. What is the cost

andrew-mc [135]

Answer:

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Step-by-step explanation:

An old truck has a fuel efficiency rating of 12 mpg.

We have to find the cost of gasoline that will be used up after we drive 60 miles.

To drive 60 miles , it uses 5 gallons.

let the cost of 1 gallon of fuel be x.

We have to find the cost of 5 gallons of fuel.

So the cost of 5 gallons of fuel = 5 $\times coat of 1 gallon of fuel$

= 5x

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3 years ago

Solve the quadratic equation using any method. Round to the nearest tenth if neccessary. Any Help Is Appreciated

AVprozaik [17]

Answer:

$x = -0.8\ or\ x = 0.5$

Step-by-step explanation:

Given [Missing from the question]

$6x^2 + 2x - 2.5 = 0$

Required

Solve

Using factorization, we have:

$6x^2 + 2x - 2.5 = 0$

Expand 2x

$6x^2 - 3x+5x - 2.5 = 0$

Factorize

$3x(2x - 1)+2.5(2x - 1) = 0$

Factor out 2x - 1

$(3x +2.5)(2x - 1) = 0$

Split:

$(3x +2.5) = 0\ or\ (2x - 1) = 0$

In both cases, solve for x

$3x = -2.5\ or\ 2x = 1$

$x = -\frac{2.5}{3}\ or\ x = \frac{1}{2}$

$x = -0.8\ or\ x = 0.5$ --- approximated

5 0

2 years ago