21.Factorize : x² +10x+21
22.Factorize: x² -2x-35
23.Solve : 2x+28 = 9x-56​

Answers

Answer 1

Step-by-step explanation:

21.

x²+10x+21x²+3x+7x+21x(x+3)+7(x+3)(x+3)(x+7)

22.

x²-2x-35x²-5x+7x-35x(x-5)+7(x-5)(x-5)(x+7)

23.

2x+28=9x-5628+56=9x-2x84=7xx=84/7x=12

hope it helps

stay safe healthy and happy..
Answer 2

Answer:

21. (x+7)(x+3)

22. (x-7)(x+3)

23. 12

Step-by-step explanation:

X^2+10x+21

(X+7)(x+3)

(We know that 7*3 is equal to 21 and that 7+3= 10)

Now try the same thing for 22.

(X-7)(X+5)

(-7*5= -35 . and -7+5=-2)

23. Use SPOE to get like terms to one side:

-7x=-84

Then use DPOE to find the value of X

x=12


Related Questions

Which graph has the solutions -1 and 4?
a.
On a coordinate plane, a parabola opens up and goes through (negative 4.2, 0) and (0, negative 1).
c.
On a coordinate plane, a parabola opens up and goes through (negative 4, 0) and (1, 0).
b.
On a coordinate plane, a parabola opens up and goes through (0, negative 3) and (4.5, 0).
d.
On a coordinate plane, a parabola opens up and goes through (0, negative 1) and (4, 0).



Please select the best answer from the choices provided


A
B
C
D

Answers

Answer:

graph d

in graph d, the line intersects the x axis twice at (-1,0) and (4,0), so those two are the solutions of the graph

What is the range of the function?
{(1.2, 11.6), (3.6, 11.5), (1.9, 11.4), (2.7, 11.5)}


Answers

Answer:

Range: 10.4

Step-by-step explanation:

Range = maximum(xi) - minimum(xi), where xi represents the set of values

= 11.6 -  1.2

= 10.4

Answer:

Range-

{

11.6

,

11.5

,

11.4

}

Step-by-step explanation:

Problem 2 find m<GEF​

Answers

Answer:

m<GEF = 66°

Step-by-step explanation:

(72+60)/2

= 132/2

= 66

Answered by GAUTHMATH

Given the following coordinates complete the glide reflection transformation.


A(−1,−3)


B(−4,−1)


C(−6,−4)


Transformation: Reflection over the x-axis and a translation of shifting right 10 units.

Answers

Given:

The vertices of a triangle are A(−1,−3) , B(−4,−1) and C(−6,−4).

Transformation: Reflection over the x-axis and a translation of shifting right 10 units.

To find:

The image after glide reflection transformation.

Solution:

The vertices of a triangle are A(−1,−3) , B(−4,−1) and C(−6,−4).

If a figure is reflected over the x-axis, then

[tex](x,y)\to (x,-y)[/tex]

Using this, we get

[tex]A(-1,-3)\to A'(-1,3)[/tex]

[tex]B(-4,-1)\to B'(-4,1)[/tex]

[tex]C(-6,-4)\to C'(-6,4)[/tex]

If a figure is shifting 10 units right, then

[tex](x,y)\to (x+10,y)[/tex]

Using this we get

[tex]A'(-1,3)\to A''(-1+10,3)[/tex]

[tex]A'(-1,3)\to A''(9,3)[/tex]

Similarly,

[tex]B'(-4,1)\to B''(-4+10,1)[/tex]

[tex]B'-4,1)\to B''(6,1)[/tex]

And,

[tex]C'(-6,-4)\to C''(-6+10,4)[/tex]

[tex]C'(-6,-4)\to C''(4,4)[/tex]

Therefore, the vertices of the image are A''(9,3), B''(6,1) and C''(4,4).

Help me please, is it d?

Answers

Answer:

Yes D is the correct answer :)

Answer:

Yes, D

Step-by-step explanation:

What is the equation of a line that passes through the point (8,-2) and is parallel to the line whose equation is 3x+4y=15?

Answers

Answer:

y = -3x/4 + 4

Step-by-step explanation:

slope m = -3/4

-2=(-3/4)×8+b

or, b = 4

y = mx + b

y = -3x/4 + 4

Answered by GAUTHMATH

Consider the following. fourteen less than the total of a number and three Translate into a variable expression. (Use x for your variable. Do not simplify.)​

Answers

9514 1404 393

Answer:

  (x +3) -14

Step-by-step explanation:

The total of a number and 3 will be represented by (x +3). Fourteen less than that is ...

  (x +3) -14  or  -14 +(x +3)

Hi i need help i have class in 30 min! <3
For what values of a are the following statements true:

Answers

Answer:

if I understand correctly, I hope this helps:

Answer to b: a< or equal to Zero.

Answer to d: a>or equal to -5

Air is being pumped into a spherical balloon at a rate of 5 cm^3/min. Determine the rate at which the radius of the balloon is increasing when the diameter of the balloon is 20 cm

Answers

0.08 cm/min

Step-by-step explanation:

Given:

[tex]\dfrac{dV}{dt}=5\:\text{cm}^3\text{/min}[/tex]

Find [tex]\frac{dr}{dt}[/tex] when diameter D = 20 cm.

We know that the volume of a sphere is given by

[tex]V = \dfrac{4\pi}{3}r^3[/tex]

Taking the time derivative of V, we get

[tex]\dfrac{dV}{dt} = 4\pi r^2\dfrac{dr}{dt} = 4\pi\left(\dfrac{D}{2}\right)^2\dfrac{dr}{dt} = \pi D^2\dfrac{dr}{dt}[/tex]

Solving for [tex]\frac{dr}{dt}[/tex], we get

[tex]\dfrac{dr}{dt} = \left(\dfrac{1}{\pi D^2}\right)\dfrac{dV}{dt} = \dfrac{1}{\pi(20\:\text{cm}^2)}(5\:\text{cm}^3\text{/min})[/tex]

[tex]\:\:\:\:\:\:\:= 0.08\:\text{cm/min}[/tex]

Find the remainder when f(x)=x3−4x2−6x−3 f ( x ) = x 3 − 4 x 2 − 6 x − 3 is divided by x+1

Answers

Answer:

The remainder is -2.

Step-by-step explanation:

According to the Polynomial Remainder Theorem, if we divide a polynomial P(x) by a binomial (x - a), then the remainder of the operation will be given by P(a).

Our polynomial is:

[tex]P(x) = x^3-4x^2-6x-3[/tex]

And we want to find the remainder when it's divided by the binomial:

[tex]x+1[/tex]

We can rewrite our divisor as (x - (-1)). Hence, a = -1.

Then by the PRT, the remainder will be:

[tex]\displaystyle\begin{aligned} R &= P(-1)\\ &=(-1)^3-4(-1)^2-6(-1)-3 \\ &= (-1)-4(1)+(6)-3 \\ &= -2 \end{aligned}[/tex]

The remainder is -2.

What is the equation of this graph

Answers

Answer:

y-1=x^2

Step-by-step explanation:

That is the equation of a parabola with vertex at (0,1). The equation is y-1=x^2.

What is the length of the arc of a circle with a radius of 4 by a central angle of 7pi/4?

Answers

9514 1404 393

Answer:

  (b) 7π

Step-by-step explanation:

The arc length is the product of the radius and the central angle in radians.

  s = rθ

  s = (4)(7π/4) = 7π . . . units

What is lim j(x)?
X-3

Answers

9514 1404 393

Answer:

  (b)  4

Step-by-step explanation:

The point (3, 4) is a "hole" in the graph. The function approaches the value y=4 from either direction, so that is the limit as x → 3.

  [tex]\displaystyle\lim_{x\to3}f(x)=4[/tex]

Locate the points of discontinuity in the piecewise function shown below.

Answers

Answer:

Step-by-step explanation:

The given piecewise function i

From the given function it is clear that function is divided at x=-1 and x=2. It means we check the discontinuity at x=-1 and x=2.

For x=-1,

LHL:  

Since LHL ≠ f(-1), therefore the given function is discontinuous at x=-1.

For x=2,

LHL:  

Since LHL ≠ f(2), therefore the given function is discontinuous at x=2.

Therefore, the correct option is A.

I need help with the answer

Answers

Answer:

Option B, x ≈ -2.25

Step-by-step explanation:

3^x-2=(x-1)/(x^2+x-1)

or x ≈ -2.21166

so it's closest to the answer of the 2nd option

Your credit card has a balance of $3300 and an annual interest rate of 14%. You decided to pay off the balance over two years. If there are no further purchases charged to the card, you must pay $158.40 each month, and you will pay a total interest of $501.60. Assume you decided to pay off the balance over one year rather than two. How much more must you pay each month and how much less will you pay in total interest?

Answers

9514 1404 393

Answer:

$137.90 more each month$246.00 less total interest

Step-by-step explanation:

The amortization formula is ...

  A = P(r/12)/(1 -(1 +r/12)^(-12t))

for the monthly payment on principal P at annual rate r for t years. Here, we have P=3300, r = 0.14, and t=1, so the monthly payment is ...

  A = $3300(0.14/12)/(1 -(1 +0.14/12)^-12) ≈ $296.30

The payment of $296.30 is ...

  $295.30 -158.40 = $137.90 . . . more each month

The total amount paid is 12×$296.30 = $3555.60, so 255.60 in interest. This amount is ...

  $501.60 -255.60 = $246.00 . . . less total interest

6. 5x = -25
a. X= 5
b. X=-5
c. x=2

Answers

Answer:

x = -5

Step-by-step explanation:

5x = -25

Divide each side by 5

5x/5 = -25/5

x = -5

Answer:

[tex]Option\ B,\ x = -5[/tex]

Step-by-step explanation:

Step 1:  Divide both sides by 5

[tex]5x = -25[/tex]

[tex]5x / 5 = -25 / 5[/tex]

[tex]x = -25/5[/tex]

[tex]x = -5[/tex]

Answer:  [tex]Option\ B,\ x = -5[/tex]

of a loaf of brown bread costs R6, how much will 4 halves cost?​

Answers

Answer:

R12

Step-by-step explanation:

Answer: R12

Explanation:

Cost of 1 loaf = R6

Cost of 4 halves = 6/2×4

= 6 × 2

= R12

Please click thanks and mark brainliest if you like

The doubling time for an investment is 7.5 yeas. Find an exponential model for the growth of your money. Then find how long will take your investment to grow by factor of 5(Assume that you make an investment P)

Answers

Answer:

The correct answer is "17.414 years".

Step-by-step explanation:

Given:

Doubling time,

= 7.5 years

As we know,

[tex]P(t) = P_oe^{rt}[/tex]

now,

⇒ [tex]2P_o=P_o e^{r\times 7.5}[/tex]

       [tex]2 = e^{r\times 7.5}[/tex]

       [tex]r = \frac{ln2}{7.5}[/tex]

          [tex]=0.092[/tex]

          [tex]=9.2[/tex]%

then,

⇒ [tex]P(t) = P_o e^{0.092 t}[/tex]

here,

[tex]P(t) = 5P_o[/tex]

hence,

⇒ [tex]5P_o = P_o e^{0.092 t}[/tex]

[tex]e^{0.092t}=5[/tex]

        [tex]t = \frac{ln5}{0.092}[/tex]

          [tex]=17.414 \ years[/tex]        

Answer:

The correct answer is "17.414 years".

Step-by-step explanation:


Pencils are sold in a local store for 55 cents each. The factory has $1300 in fixed costs
plus 15 cents of additional expense for each pencil made. Assuming all
pencils manufactured can be sold, find the break-even point.
Break-even point:

Answers

Answer:

3250 pencils sold

Step-by-step explanation:

Let x represent the number of pencils.

The profit from the pencils sold can be represented by 0.55x, and the cost from making the pencils can be represented by 1300 + 0.15x.

Set these two terms equal to each other, and solve for x:

0.55x = 1300 + 0.15x

0.4x = 1300

x = 3250

So, the break even point is at 3250 pencils sold.

*20 points*
A rancher’s herd of 250 sheep grazes over a 40-acre pasture. He would like to find out how many sheep are grazing on each acre of the pasture at any given time, so he has some images of the pasture taken by the state department of agriculture’s aerial photography division. Here are three samples of the images.
Sample 1: 4
Sample 2: 1
Sample 3: 9
How do the sample statistics compare to the population mean and standard deviation?

Answers

There will be about 6.25 sheep on each acre.  

250/40 = 6.25

I need help ASAP please help me solve this math question

Answers

Answer:

b appears to be correct

Step-by-step explanation:

What is 20×10 to the third power equal

Answers

Answer:

20000

Step-by-step explanation:

Your equation will look like this to the third power:

20 x 10^3

Step 1. Solve for 10^3

Answer: 1000

Step 2. Multiply 20 x 1000

Answer: 20000

Describe what is contained in a credit report

Answers

Answer:

Your credit report contains personal information, credit account history, credit inquiries and public records. This information is reported by your lenders and creditors to the credit bureaus. Much of it is used to calculate your FICO® Scores to inform future lenders about your creditworthiness.

If p is true and ~ q is false, then p ~ q is _____ false.
a. sometimes
b. always
c. never

Answers

Vas happenin
Hope you having a good day
I think it’s A
Hope this help *smiles*

A geometric sequence is a sequence of numbers where the next term equals to

the previous term multiplied by a common factor (for example, (3, 6, 12, 24, ...)

is a geometric sequence with the first term ”3” and the common factor ”2”). If

the 5th term of a geometric sequence is 24 and the 7th term is 144, what is the

first term of the sequence?

(A) 2

(B) 3/2

(C) 2/3

(D) 1/3

(E) 1/4

Answers

Answer:

C

Step-by-step explanation:

Let the first term be a and the common ratio be r.

ATQ, ar^4=24 and ar^6=144, r=sqrt(6) and a=24/(sqrt(6))^2=24/36=2/3

You take out a 60-day loan for $5000. At the end of the loan, you owe $73.97 in interest. What is the annual percentage rate? Round your answer to the nearest tenth of a percent.

Answers

The PERCENTAGE ANNUAL RATE is 9.0% to the nearest tenth using the SIMPLE INTEREST FORMULA

The question is related to a SIMPLE INTEREST problem:

Loan period = 60 days

using 365 days a year ;

converting to years , 60 days = (60 / 365) years

interest on loan = 73.97

principal = 5000

Using the formula:

interest = (principal * rate * time)

73.79 = (5000 * rate * (60/365)

Rate = 73.79/(5000 * (60/365)) =8.977%

rate = 9%

Therefore, PERCENTAGE ANNUAL RATE is 9.0%

Learn more : https://brainly.com/question/3880193

Diana get a gift card with a value of $55, and her favorite drink cost $2.20. How many plain black coffee can she buy with the gift card

Answers

Answer:

Twouufyjughgyuioiu567uhu888

Answer:

55/2.20=25 so 25 black coffees

Step-by-step explanation:

What is the volume of the cylinder below?

Answers

Answer:

A

Step-by-step explanation:

v=πr2h

r=(3)²* 5

45π unit³

Can someone please help with 25 , please put the way you got it. Please no links it’s serious

Answers

Answer:

X * 0.8 = $64

x = $80

Step-by-step explanation:

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