1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
strojnjashka [21]
3 years ago
8

Solutions of the equation 4x2-7x=3x+24

Mathematics
2 answers:
Mnenie [13.5K]3 years ago
5 0
Let's solve your equation step-by-step. <span><span><span>4x^2</span>−7x</span>=<span>3x+24
</span></span>Step 1: Subtract 3x+24 from both sides.
<span><span><span><span>4x^2</span>−7x</span>−<span>(<span>3x+24</span>)</span></span>=<span><span>3x+24</span>−<span>(<span>3x+24</span>)
</span></span></span><span><span><span><span>4x^2</span>−10x</span>−24</span>=0
</span>Step 2: Factor left side of equation.
<span><span><span>2<span>(<span>2x+3</span>)</span></span><span>(x−4)</span></span>=0
</span>Step 3: Set factors equal to 0. <span><span><span>2x+3</span>=<span><span><span>0 or </span>x</span>−4</span></span>=0</span><span><span>x=<span><span><span>−32</span> or </span>x</span></span>=4
</span>Answer:<span><span>x=<span><span><span>−3/2</span> or </span>x</span></span>=<span>4
Hope this helps!:)</span></span>
Naily [24]3 years ago
3 0
<span><span> x = -3/2 = -1.500
</span><span> x = 4</span></span>
You might be interested in
The school has t-shirts to hand out. They have 10 hot pink shirts, 6 neon green shirts, 9 bright yellow shirts, and 11 vibrant b
Alex17521 [72]

Answer:

A. 11/36

Step-by-step explanation:

Add all the numbers together(36), and then see how many out of that number are the vibrant blue shirt. Since they are asking the probability of you being given a vibrant blue shirt, and there are 11 out of the 36 shirts, therefore you have an 11/36 chance that you will be given a vibrant blue shirt.

5 0
3 years ago
Read 2 more answers
Through a regular hexagon whose base edge is 8cm and whose height ii 12cma hole in the shape of the right prism with ots end bei
guapka [62]

The total surface area of the remaining solid is 48(4+✓3) centimeters square.

<h3>How to calculate the surface area?</h3>

Through a regular hexagonal prism whose base edge is 8 cm and the height is 12 cm, a hole in the shape of a right prism.

The formula for the total surface area will be:

= Total surface area=2(area of the base)+ parameter of base × height

where,

Height= 8cm

Parameter of base=12(2) = 24

Area of the base= 6×✓3/4×4² = 64✓3/4

The surface area of the remaining solid will be:

= 2(64✓3/4) + 24 × 8

= 2(64✓3/4 + 192

With the hole is a rhombus prism with the following parameters:

diagonal 1 = 6, diagonal 2 = 8, height = 12

The volume is:

V1 =0.5 × d1 × d2 × h

V1 = 0.5 × 6 × 8 × 12

V1 = 96

The dimensions of the hexagonal prism are:

Base edge (a) = 8

Height (h) = 12

The volume is

V2 = (3✓(3)/2)a²h

V2 = (3✓3)/2) × 8² × 12

V2 = 1152✓3

The remaining volume is

V = V2 -V1

V = 1152✓3 - 96

Learn more about the hexagonal prism on:

brainly.com/question/27127032

#SPJ4

4 0
2 years ago
How much longer is the hypotenuse of the triangle than its shorter leg?
RUDIKE [14]

This is an incomplete question, here is a complete question and image is also attached below.

How much longer is the hypotenuse of the triangle than its shorter leg?

a. 2 ft

b. 4 ft

c. 8 ft

d. 10 ft

Answer : The correct option is, (b) 4 ft

Step-by-step explanation:

Using Pythagoras theorem in ΔACB :

(Hypotenuse)^2=(Perpendicular)^2+(Base)^2

(AB)^2=(AC)^2+(BC)^2

Given:

Side AC = 6 ft

Side BC = 8 ft

Now put all the values in the above expression, we get the value of side AB.

(AB)^2=(6)^2+(8)^2

AB=\sqrt{(6)^2+(8)^2}

AB=10ft

Now we have to calculate the how much longer is the hypotenuse of the triangle than its shorter leg.

Difference = Side AB - Side AC

Difference = 10 ft - 6 ft

Difference = 4 ft

Therefore, the 4 ft longer is the hypotenuse of the triangle than its shorter leg.

5 0
3 years ago
Read 3 more answers
A jury pool has 24 men and 16 women, from which 12 jurors will be selected.
Arlecino [84]

Answer:

I think that answer is 6men an 6women

8 0
3 years ago
Can someone help me with this question
maria [59]

Step-by-step explanation:

1/5 + 3/5 = 3/5 + 1/5 = 4/5

I am not sure what your teacher wants to see on the right side of the second equation.

it would be the whole equation again :

4/5 = 1/5 + 3/5 = 3/5 + 1/5

7 0
2 years ago
Other questions:
  • Reduce fractions expressing probability to lowest terms.
    10·1 answer
  • 136% of________= 325
    9·1 answer
  • In order to compare the durability of four different brands of golf balls (ALPHA, BEST, CENTURY, and DIVOT), the National Golf A
    14·1 answer
  • the selling price of a television set is $125 more than twice the cost. find the cost if the selling price is $325.
    10·2 answers
  • Timmy has deposited $900 in a savings account that pays 1.75 % interest. If Timmy leaves the money in the account for three year
    8·1 answer
  • What equals 88 in multiplication
    15·2 answers
  • A square painting is surrounded by a frame. The outside edges of the frame are x inches in length and there is a 4-inch border b
    15·2 answers
  • a page of school yearbook is 8 1/2 inches wide. The left and right margins are 1 inch and 2 1/2 inches respectively. The space b
    13·1 answer
  • Need help on question please!
    9·1 answer
  • Sum of the series:<br> 13, 16, 19, ..., 301 <br> how many numbers are in this series?
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!