4. Solve the equation using the quadratic formula.
4x^2+3x-10 = 0
A.x= -2, x= 1.25
B.X= -2, x= 2
C.x= -1.25, x= 2
D.x= -1.25, x= 1.25​

Answers

Answer 1

Answer:

A. x = -2, x = 1.25

Step-by-step explanation:

Use the quadratic formula

x = [tex]\frac{-b+\sqrt{b^{2}-4ac } }{2a}[/tex]

Once in standard form, identify a, b, and c from the original equation and plug them into the quadratic formula.

4x² + 3x - 10 = 0

a = 4

b = 3

c = - 10

x = [tex]\frac{-3+\sqrt{3^{2}-4x4(-10) } }{2x4}[/tex]

Simplify

Evaluate the exponent

x = [tex]\frac{-3+\sqrt{9-4x4(-10)} }{2x4}[/tex]

Multiply the numbers

x = [tex]\frac{-3+\sqrt{9+160} }{2x4}[/tex]

Add the numbers

x = [tex]\frac{-3+\sqrt{169} }{2x4}[/tex]

Evaluate the square root

x = [tex]\frac{-3+13}{2x4}[/tex]

Multiply the numbers

x = [tex]\frac{-3+13}{8}[/tex]

Separate the equations

To solve for the unknown variable, separate into two equations: one with a plus and the other with a minus.

x = [tex]\frac{-3+13}{8}[/tex]

x = [tex]\frac{-3-13}{8}[/tex]

Solve

Rearrange and isolate the variable to find each solution

x = - 2

x = 1.25

Answer 2

Answer:

A. x = -2, x = 1.25

Step-by-step explanation:

Use the sum-product pattern

4x² + 3x - 10 = 0

4x² + 8x - 5x - 10 = 0

Common factor from the two pairs

(4x² + 8x) + (-5x - 10) = 0

4x (x + 2) - 5 (x + 2) = 0

Rewrite in factored form

4x (x + 2) - 5 (x + 2) = 0

(4x - 5)(x + 2) = 0

Create separate equations

(4x - 5)(x + 2) = 0

4x - 5 = 0

x + 2 = 0

Solve

Rearrange and isolate the variable to find each solution

x = 1.25

x = - 2


Related Questions

if there's a how and a guy picks her up who's getting abused​

Answers

what does this even mean

The weights of four puppies are shown in pounds
9.5
9 3/8
9.125
9 3/4
Which list shows these weights in order from greatest to least?
9 3/4 9.5 9 3/8 9.125
9.5 9 3/8 9 3/4
9.125 9.125 9 3/8 9.5 9 3/4 9 3/4 9 3/8 9.5 9.125

Answers

The second one (9.5, 9 3/4, 9 3/8, 9.125)

Maths equation need help please

Answers

Answer:

I FIGURED IT OUT!

Step-by-step explanation:

a = 3

b = 3

c = 5

d = 2

give me brainliest

11. A bag contains 2 blue marbles and 2 green marbles. What is the probability of drawing a blue marble followed by a green marble, without replacing the first marble before drawing the second marble?
Please show work ty​

Answers

Answer: your answer should be 50%

Step-by-step explanation: This is because there are only four marbles in the bag total and only 2 are blue and only 2 are green so your chances of pulling out either is 50%

Answer:

33%

Step-by-step explanation:

2 blue marbles + 2 green marbles = 4 marbles

1st draw for blue:   2/4               (2 blue marbles out of 4 marbles)

2nd draw for green:   2/3          (1 less marble from 4, marble not put back in)

2/4  x  2/3   = 4/12 = 1/3 = 0.33 or 33%

Find the total surface area of the rectangular prism

Answers

Answer:

124

Step-by-step explanation:

To find the surface area, we add the area from all faces or the prism.

the first face, we can put 8 times 2.5, which is 20. There are two of these faces, so we have 40 in our area so far.

next the other face. 4  times 2.5 is 10, and there are two of these faces. 60 in out area.

now the top and bottom faces. 8 times 4 is 32. there are two of these faces, and 60 +64 = 124

The radius of a circle is 1 inch. What is the area?

r=1 in

Give the exact answer in simplest form.

Answers

Answer:

3.14 square inches or π square inches

Step-by-step explanation:

The radius of a circle is 1 inch. What is the area?

r=1 in

The formula for the area of a circle is given as:

πr²

The radius (r) = 1 inch

Hence,

Area of the circle = π × 1²

= 3.1415926536 square inches

Approximately = 3.14 square inches or we can say that the Area of the circle = π square inches

whats is the answer to this equation?

who ever gets the right answer gets 25 points.

Answers

Answer:

51.2 m

Step-by-step explanation:

To find perimeter add all sides up

Jlvesh is analyzing the flight of a few of his model rockets with various equations. In each equation, h is

the height of the rocket in centimeters, and the rocket was fired from the ground at timet = 0, where t is

measured in seconds.

Jivesh also has a more powerful Model B rocket. For this rocket, he uses the equation h=-90t4 + 300t.

When is the height of the Model B rocket 250 centimeters? Round your answers to the nearest

hundredth.

After t =

seconds, the rocket will have reached a height of 250 centimeters.

Answers

Answer:

After t =  1.67 seconds, the rocket will have reached a height of 250 centimeters.

Step-by-step explanation:

Given

[tex]h = -90t^2 + 300t[/tex] --- correct expression

Required: When does height = 250 cm

To do this, we have:

[tex]h = 250[/tex]

This gives:

[tex]250 = -90t^2 + 300t[/tex]

Rewrite as:

[tex]90t^2 - 300t + 250 = 0[/tex]

Divide through by 10

[tex]9t^2 - 30t + 25 = 0[/tex]

Expand

[tex]9t^2 - 15t - 15t + 25 = 0[/tex]

Factorize:

[tex]3t(3t - 5) -5(3t - 5) = 0[/tex]

[tex](3t - 5)(3t - 5) = 0[/tex]

This gives:

[tex]3t - 5 = 0[/tex]

Solve for 3t

[tex]3t = 5[/tex]

Solve for t

[tex]t = \frac{5}{3}[/tex]

[tex]t = 1.67s[/tex]

identify the pattern 3,7,11,15

Answers

Answer:

Step-by-step explanation:

3 7 11 15 19 23 27

Can someone explain why the answer is True. Will make brainliest.

Answers

Answer:

True

Step-by-step explanation:

With Sin and Cos, the rule is that the opposites are the same:

SinA=CosB

CosB=SinA

In this problem, it is showing SinA=cosB, so it is the same, it is true.

Hope this helps!

HELP PLSSSSSSDSSSSSSSSSSSSSSSSSSS

Answers

Answer:

8 inches.

Step-by-step explanation:

Just count how many units there are between the two points :)

Plot the x-intercepts, the y-intercept, and the vertex of the graph (Must use Desmos!)

Answers

Answer:

x-intercept: (-1,0)

y-intercept: (0,3)

Vertex: (-2,-1)

Step-by-step explanation:

Please help.
Is algebra.

Answers

Answer to question 1 is D

answer to question 2 is A

Please answer^^ I will give you brainlist!
Yes 5th grade math :clown face:

Answers

Answer:

Venn is the circles and the tree is the green one (ignore the other thing on tree)

i need help with this questionnnn

Answers

I am going to say 3
The answer is 1.7 ! :D

NO LINKS PLZ, BUT I RLLY NEED HELP!​

Answers

Answer:

Step-by-step explanation:

b

A right square pyramid has a base area of 200 square inches. Find its volume, if its height is 6 inches.
A. 33 in.
B. 400 in.
C. 3,600 in.
D. 1,200 in.

Answers

Step-by-step explanation:

400 in. is the correct answer

For a pyramid, volume= (1/3) x b x h where

B= base area, and

h= height .

So, volume= (1/3) x (200in^2) x (6in) = 400in^3.

- Chilio

Calculate the total surface area of the pyramid. Show your work!

Answers

Answer: 22.44

Step-by-step explanation:

Base × Height /2 → (3 × 2.24)/2

3.36 · 4 = 13.44

13.44 + 3²

22.44

A jar contains 10 red​ marbles, 30 blue​ marbles, 10 green​ marbles, and 35 orange marbles. Find the probablilty of picking a marble.

Answers

Answer:

6/17

Step-by-step explanation:

The amount of blue marbles is 30, over the total number of marbles, which is 85. 30/85 simplifies to 6/17, which is the probability.

Hopefully this helps - let me know if you have any questions!

Please help me to finish the table! D:

Answers

Answer: 32, 27, 20

Step-by-step explanation: This is a quadratic table.

How many real solutions exist for this system of equations? Y = -x + 1 y = -x2 + 4x − 2 A. Zero B. One C. Two D. Infinite

Answers

Answer:

Two solutions

Step-by-step explanation:

Given the functions Y = -x + 1 y = -x² + 4x − 2

Since they are both y values, we will equate them to have:

-x+1 = -x² + 4x − 2

Equate to zero

x²-x-4x+1+2=0

x²-5x+3 = 0

Since the resulting equation is quadratic (highest degree being 2), hence there will be two solutions to the equation

xf(3)+3f(x)=x+6 f(6)=?​

Answers

answer: 36f/6f-1
solution: move all terms to left side and set equal to zero. then set each factor equal to zero.

ill give brainliest

Write and solve an equation to determine the unknown variable. Then find the measure of the unknown angles.

Your options are:

A. x + 7 + 2x - 40 = 180 One angle is 78 degrees and the other is 102 degrees

B. x + 47 = 180 The unknown angles are both 133 degrees

C. x + 7 + 2x - 40 = 90 One angle is 48 degrees and the other is 42 degrees

D. x + 7 = 2x - 40 The unknown angles are both 54 degrees ​

Answers

Answer:

Answer:

To determine to measure of the unknown angle, be sure to use the total sum of 180°. If two angles are given, add them together and then subtract from 180°. If two angles are the same and unknown, subtract the known angle from 180° and then divide by 2.

Mark sorted a set of shapes into two different categories. Explain, what two attributes were used to sort the shapes. help please!!

Answers

Group A parallelogram, Group B Quadrilateral.

Answer: Parallelogram and Quadrilateral.

The  two ways of classifying shapes are: Parallelogram and Quadrilateral.

There are different ways to classify an item.

How do one identify the type of quadrilateral?

Quadrilaterals can be known by;

It is a polygon with four sides.

Since rectangle is known to be a parallelogram that has four right angles.

A trapezoid is regarded as a quadrilateral with only one pair of parallel sides.

And Parallelograms are known to be shapes that has four sides with only two pairs of sides that are known to be parallel.

So we conclude that Group A parallelogram, and Group B Quadrilateral.

learn more about Quadrilaterals from;

brainly.com/question/16691874

#SPJ2

Can I get help with number 19

Answers

Answer:

D

Step-by-step explanation:

x = 2 and y = -7

Plug those values into the equation:

2(2) - (-7) = 11

Please hurry I need this now !!!

1.What is the positive solution to this equation?
x2 – 12 = -11x
a. -12
b. 12
C. -1
d. 1

Answers

Answer:

b. 12

Step-by-step explanation:

Answer:

either a or d because they are both correct.

Step-by-step explanation:

What is the value of -5^6?

Answers

Answer:

-15625

Step-by-step explanation:

Hope this helps!

Answer:

-15,625

Step-by-step explanation:

-5^6 = -(5^6) = -(5 * 5 * 5 * 5 * 5 * 5) = -15,625

solve for x round to your nearest tenth

Answers

The answer is x = 8.1

A line that a graph approaches but does not reach. It may be a vertical, horizontal, or slanted line.

first two letters as

Answers

Answer:

asymptote

Step-by-step explanation:

A culture of bacteria doubles every hour. If there are 500 bacteria at the beginning, how many bacteria will there be after 9 hours


A. 256,000
B.40,500
C. 9,000
D. 4,500



(I NEED ANSWERED ASAP ) this my same question from the first one )

Answers

The answer is 9000 multiply the 9 by 2 and then multiply that answer by 500 which will be equal 9000
D, I think it’s a pretty simple equation 500 times 9 = 4,500
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