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
Gennadij [26K]
3 years ago
7

Factor the polynomial x(3x+5)-4(3x+5)

Mathematics
2 answers:
mojhsa [17]3 years ago
4 0

Answer:

(3x+5)(x-4)

Step-by-step explanation:

First, we must distribute this:

x(3x+5)-4(3x+5)\\3x^2+5x-12x-20\\3x^2-7x-20

Now, we must factor:

3x^2-7x-20\\(3x+5)(x-4)

padilas [110]3 years ago
3 0
<span>x(3x+5)-4(3x+5)
3x^2+5x-12x+20
3x^2-7x+20</span>
You might be interested in
Graph the line and the parabola and find the points of intersection: y= 3-x ; y=x(squared)+x-12
melomori [17]

Answer:

Step-by-step explanation:

We have to graph a line y = 3 - x which has the slope = -1 and y intercept 3.

We will select two points where line intersects at x = 0 and y = 0

The given line will intersect x-axis at (3, 0) and at y- axis (0, 3).

Joining these two points we can draw a straight line showing y = -x + 3

Now we will draw the parabola given by equation y = x² + x - 12

We will convert this equation in vertex form first to get the vertex and line of symmetry.

Standard equation of a parabola in vertex form is

y = (x - h)² + k

Where (h, k) is the vertex and x = h is the line of symmetry.

y = x² + x - 12

y = x² + 2(0.5)x + (0.5)²- (0.5)²-12

y = (x + 0.5)² - 12.25

Therefore, vertex will be (-0.5, -12.25) and line of symmetry will be x = 0.5

For x intercept,

0 = (x + 0.5)² - 12.25

x + 0.5 = ±√12.25

x = -0.5 ± 3.5

x = -4, 3

For y- intercept,

y = (0+0.5)² - 12.25

 = 0.25 - 12.25

y = -12

So the parabola has vertex (-0.5, - 12.25), line of symmetry x = 0.5, x intercept (4, 0), (and y-intercept (0, -12).

Now we have to find the points of intersection of the given line and parabola.

For this we will replace the values of y

3 - x = x² + x - 12

x² + 2x - 15 = 0

x² + 5x - 3x - 15 = 0

x(x + 5) - 3(x + 5) = 0

(x - 3)(x + 5) = 0

x = 3, -5

For x = 3

y = 3- 3 = 0

For x = -5

y = 3 + 5 = 8

Therefore, points of intersection will be (3, 0) and (-5, 8)

 

4 0
3 years ago
The figure shows the front side of a purse in the shape of a trapezoid.
attashe74 [19]
For this case, what you must do is take out the area of two triangles and add it to the area of a rectangle to find the total area.
 We have then:
 Triangle area:
 A = (1/2) * ((13-9) / (2)) * (10) = 10 in ^ 2
 Rectangle area:
 A = (9) * (10) = 90 in ^ 2
 Total area:
 At = 2 * (10) + 90 = 110 in ^ 2
 answer:
 110 in²
8 0
3 years ago
Read 2 more answers
A right rectangular prism has edges of 8 feet, 4 feet, and 1/2 foot. How many cubes with side lengths of 1/2 foot would be neede
Ksenya-84 [330]

Answer:

Step-by-step explanation:

From the question we are told that

Edges of 8 feet, 4 feet, and 1/2 foot

Generally the volume V_p of the right rectangular prism is mathematically represented as

V_p=8*4*0.5

V_p=16

Generally volume of the cube V_c is mathematically given as

V_c =(\frac{1}{2})^3

V_c =\frac{1}{6}

Therefore total number of cubes is given as

V=\frac{V_p}{V_c}

V=\frac{16}{\frac{1}{6}}

V=96

4 0
3 years ago
Evaluate Dx / ^ 9-8x - x2^
Solnce55 [7]
It depends on what you mean by the delimiting carats "^"...

Since you use parentheses appropriately in the answer choices, I'm going to go out on a limb here and assume something like "^x^" stands for \sqrt x.

In that case, you want to find the antiderivative,

\displaystyle\int\frac{\mathrm dx}{\sqrt{9-8x-x^2}}

Complete the square in the denominator:

9-8x-x^2=25-(16+8x+x^2)=5^2-(x+4)^2

Now substitute x+4=5\sin y, so that \mathrm dx=5\cos y\,\mathrm dy. Then

\displaystyle\int\frac{\mathrm dx}{\sqrt{9-8x-x^2}}=\int\frac{5\cos y}{\sqrt{5^2-(5\sin y)^2}}\,\mathrm dy

which simplifies to

\displaystyle\int\frac{5\cos &#10;y}{5\sqrt{1-\sin^2y}}\,\mathrm dy=\int\frac{\cos y}{\sqrt{\cos^2y}}\,\mathrm dy

Now, recall that \sqrt{x^2}=|x|. But we want the substitution we made to be reversible, so that

x+4=5\sin y\iff y=\sin^{-1}\left(\dfrac{x+4}5\right)

which implies that -\dfrac\pi2\le y\le\dfrac\pi2. (This is the range of the inverse sine function.)

Under these conditions, we have \cos y\ge0, which lets us reduce \sqrt{\cos^2y}=|\cos y|=\cos y. Finally,

\displaystyle\int\frac{\cos y}{\cos y}\,\mathrm dy=\int\mathrm dy=y+C

and back-substituting to get this in terms of x yields

\displaystyle\int\frac{\mathrm dx}{\sqrt{9-8x-x^2}}=\sin^{-1}\left(\frac{x+4}5\right)+C
4 0
3 years ago
Which of these is also (always) a parallelogram? (Select all that apply.)
N76 [4]

Answer:

rhombus i think

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Other questions:
  • Find the value of s if 57+s=68
    13·2 answers
  • Wich number is thirty-six thousand, two hundred fourteen and nine thousandths? A 36,214.009 B 36,214.09 C 36,214.900 D 36,241.00
    9·2 answers
  • Which expression has twice the value of 2•2•2•2•2? <br> A. 2^6 <br> B. 2^10 <br> C. 4^5<br> D. 4^10
    7·2 answers
  • A course for a skateboard race consists of a 200-meter downhill run and a 150-meter level portion. The angle of elevation from t
    11·1 answer
  • WILL MAKE BRAINLYEST PLEASE SOME ONE ANSWER MY QUESTION PLEASETo write the best estimate for the following product in scientific
    13·2 answers
  • A tiny area on a computer chip measures 2.3x10^-3mm by 1.7 x10^-4mm.
    12·1 answer
  • Enter your answer and show all the steps that you use to solve this problem in the space provided. Simplify the expression. 5 +
    6·1 answer
  • Please help <br><br>number 3 through 4​
    15·1 answer
  • I need a answer I’m stuck on this
    13·1 answer
  • hey can someone help me pls immediately!!! i’ll mark brainiest if u don’t guess or leave links. pls don’t guess tho actually kno
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!