Is x - 1 factor of 7x ^ 3 - x ^ 2 - x - 5 ?

Answers

Answer 1

Answer:

Step-by-step explanation:

f(x)  = 7x³ - x² - x - 5

To test if (x-1) is a factor, calculate f(x) for x=1:

f(1) = 7·1³ - 1² - x - 5 = 0

Since f(1) = 0, (x-1) is a factor.


Related Questions

DOES THIS HAVE ONE SOLUTION , NO SOLUTIONS ,OR INFINITELY MANY SOLUTIONS?! 30 points

Answers

Answer:

INFINITELY MANY SOLUTIONS

Step-by-step explanation:

INFINITELY MANY SOLUTIONS

Infinitely many solutions

The ratio of the number of boys to the number of girls in a choir is 5 to 4. There are 60 girls in the choir. How many boys are in the choir?

Answers

Answer:

75 boys

Step-by-step explanation:

5:4

? : 60

60/4= 15

?/5=15

 *5  *5

?= 75

Answer:

75

Step-by-step explanation:

To get from 4 to 60, you need to multiply by 15. If you want to find out how many boys there are, simply multiply 5 by 15, which you get 75.

Will give Brainly! Help!

Answers

Answer:

The picture I attached will have the line already drawn for you.

Step-by-step explanation:

At a toy shop, 45 toys were sold in September. A bonus will be given to workers if they can increase sales by 40% in October. How many toys must the sales team sell in October to receive the bonus?

Answers

Answer:

First off, we can find the number that has to be increased by multiplying the original amount by 40%:

45×40%

=45×0.4

=18

We can then add the above amount to the original amount to find the toys they must sell:

45+18

=63

They must sell 63 toys to get the bonus.

Alternatively:

The total percenrage of toys need to be sold to get a bonus with the 40% increase:

=100%+40%

=140%

The amount of toys:

=45×1.4

=63

Therefore the answer is 63.

Hope it helps!

Step-by-step explanation:

A truck rental company charges $35 per day to rent a truck plus $.35 per mile driven. James rented a truck for three days. The total cost was $191.10. How many miles did James drive the
truck?

Answers

Answer:

246miles

Step-by-step explanation:

pls give brainliest :)

Answer:

246 miles

Step-by-step explanation:

$191.10-$105 (105 is the total cost of truck rental for 3 days)

=$86.1

Then

$86.1÷0.35

=246

Slope intercept form of points 0, -4 and -1, 4

Answers

Answer:

[tex]y=\frac{0}{-1} -4[/tex]

Step-by-step explanation:

first, you have to find the slope, and to do that you use this equation [tex]\frac{y2-y1}{x2-x1}[/tex]

     so, now to insert your points (0,-4), (-1,4)

                                                      (x1,y1)  (x2,y2)

[tex]\frac{4-4}{-1-0} = \frac{0}{-1}[/tex]

now that you have the slope you can find the y-intercept of the slope-intercept form by looking at your first point (0,-4) and get -4

- if you were to look at this point on a graph it would be on the y-axis therefore, -4 is the y-intercept [if you don't have a point like this one then you can look at a graph with one of your points and make a slope until you are on the y-axis :)]

therefore, the slope-intercept form is y=[tex]\frac{0}{-1}[/tex] -4

[ps, your slope is a zero slope :)]

Answer:

y = - 8x - 4

Step-by-step explanation:

y = mx + b

"m" is slope, "b" is y-intercept.

( [tex]x_{1}[/tex] , [tex]y_{1}[/tex] )

( [tex]x_{2}[/tex] , [tex]y_{2}[/tex] )

m = [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]

~~~~~~~~~~~~~~~

(0, - 4) are coordinates of y-intercept.

( - 1, 4)

m = [tex]\frac{4 + 4}{-1-0}[/tex] = - 8

y = - 8x - 4

Which expression is equivalent to -3(1 - y) ?
0-31 - 3y
0-32 + 3y
0-32 - 4
0 -3.2 + y

Answers

Answer:

Whichever one equals 3y - 3

Step-by-step explanation:

I went through your answer choices and they don't really make sense. But if one of these equals 3y-3 then that's your answer.

PLEASE HELPPPP! 50 points, my brain has been doing homework all night and this is simple math ;-; I just cant think rn its 7th grade math. Thanks a million!

Jamal reads every day. He read 55 pages on Tuesday, which is 25% less than what he read on Monday. How many total pages did Jamal read on Monday and Tuesday? Write solution as a mixed number.

Answers

Answer:

68/.75

‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎

What transformation to the linear parent function, f(x) = x, gives the function
g(x) = x - 9?
O A. Shift 9 units right.
O B. Shift 9 units left.
O C. Shift 9 units up.
D. Vertically stretch by a factor of 9.

Answers

Answer:

D. Horizontal stretch by a factor of 3.

Step-by-step explanation:

I hope this helps! :D

Answer:

Shift 9 units right

Step-by-step explanation:

Pls help I don’t understand I’ll give brainliest

Answers

Answer:

[tex] - 32[/tex]

Step-by-step explanation:

1) Simplify

[tex] \sqrt{32} \: to \: 4 \sqrt{2} [/tex]

[tex] - 8 \sqrt{2} \times \frac{1}{2} \times 4 \sqrt{2} [/tex]

2) Use this formula: a/b × c/d = ac/bd.

[tex] - \frac{8 \sqrt{2} \times 1 \times 4 \sqrt{2} }{2} [/tex]

3) Simplify.

[tex] - \frac{32 \sqrt{2 \sqrt{2} } }{2} [/tex]

4)

[tex]simplify \: 32 \sqrt{2 } \sqrt{2} \: to \: 32 \sqrt{4} [/tex]

5) Since 2 × 2 = 4, the square root of 4 is 2.

[tex] - \frac{32 \times 2}{2} [/tex]

6) Simplify 32 × 2 to 64.

[tex] - \frac{64}{2} [/tex]

7) Simplify 64/2 to 32.

[tex] - 32[/tex]

Therefor, the answer is option three -32

A rectangular lawn 40 m by 20 m is surrounded all around outside by a path which is 3 m wide. The area of the path is _____ sq. m

Answers

Answer:

The area of the path is 626 square meters.

Step-by-step explanation:

Area of ABCD (of the rectangle)

Given length = 40m

Given breadth = 20m

Area = Length × breadth

= 40m × 20m

= 800m^2

External path = 3m wide

Length =40m+3m+3m=46m

Breadth = 25m+3m+3m= 31m

Area of PQRS= Length × breadth

46m ×31m = 1426m^2

Area of path = Area of PQRS - Area of ABCD

= 1426m^2 - 800m^2

= 626m^2

The area of the path is 626 square meters.

hope this helps :)

Show by parentheses that the sum of x and y is to be subtracted from 4 times the sum of x and y​

Answers

Answer:

4(x+y)-(x+y)

Is that your answer

what is the circumference of a DVD disc?

Answers

The circumference of a DVD disc is 28.26 cm

What is 7/8+3/4 I need help

Answers

Answer: 1 5/8

Step-by-step explanation: 3/4 times 2 on the denominator and numerator is 6/8 and 7/8 plus 6/8 is 1 whole and 5/8ths

help please ty i will give brainliest

Answers

Answer:

c

Step-by-step explanation:

b^2-4*a*c

81-20*4*1 =1

so you can factorise it to

(p+5) ( p+4 )

Please answer and if you do I'll give you brainliest. <3

Answers

Answer:

guy above me is right

Step-by-step explanation:

Theo bought a pair of shoes on sale for 20% off the regular price. A
6.50 sales tax was added to the price of the shoes. Which expression
represents the total cost of the shoes with original price s?
A) (0.2s)1.065
B) (0.8s)1.065
C) 0.83 + 1.065s
D) 0.2s + 1.0655

Answers

Answer:

c

Step-by-step explanation:

i think soo

Mr. Hampton asked his students to solve the equation 4x2−5x=9 by using the quadratic formula. Which student set up the formula correctly? Drew Valerie Mishka x=5±−(5)2−4(4)(9)√2(4) x=5±−(5)2−4(4)(−9)√2(4) x=−5±(−5)2−4(4)√−92(4) A. MIshka B. Valerie C. Drew

Answers

Answer:

x = 5 ± √(-5)² - (4)(4)(-9) / 2(4)

Step-by-step explanation:

x=5±−(5)2−4(4)(9)√2(4)

x=5±−(5)2−4(4)(−9)√2(4)

x=−5±(−5)2−4(4)√−92(4)

x = -b ± √b² - 4ac / 2a

Given equation:

4x²- 5x = 9

4x² - 5x - 9 = 0

a = 4

b = -5

c = -9

x = -b ± √b² - 4ac / 2a

x = -(-5) ± √(-5)² - (4)(4)(-9) / 2(4)

x = 5 ± √(-5)² - (4)(4)(-9) / 2(4)

The correct formula is

x = 5 ± √(-5)² - (4)(4)(-9) / 2(4)

if p(x)=x2+2x-5 and qıx)=x-3, what is p(x) - g(x)?
A.2x² - 2
B.2x²-8
C.x²+x-2
D.x²+x-8

Answers

Answer:

C. x2+x-2

Step-by-step explanation:

What is the slope of a line that passes through the two points (12, -18) and (11,12)

Answers

The slope is -30 because when u calculate the rise over run it gets to -30
-18 - 12 = -30

12 - 11 = 1

-30 divided by 1 would still be -30.

Bags of popcorn cost $0.50 each, and bags of chips cost $0.75 each. The equation 0.50x + 0.75y = 10 represents the number of popcorn and chip bags that can be bought with $10. If no chips are bought, how many popcorn bags can be purchased? *

Answers

Answer:

20

Step-by-step explanation:

If no chips are bought, then:

0.5x + 0.75(0) = 10

0.5x = 10

x = 20

How many square floor tiles of side 1/2m are needed to cover the school hall, excluding the room, shown in the diagram below. Please show ALL working.

Answers

Answer:

Step-by-step explanation:

3. The figure below is a composite shape that consists of a semicircle and an equilateral triangle (triangle
with sides that are all equal). Find the perimeter and area of the composite shape. Use 3.14 for pi.
Perimeter:
4cm
5cm
Area:

Answers

Answer:

See explanation below

Step-by-step explanation:

Area = Area of triangle + Area of the semi circle

Area of triangle = 1/2bh

Area of triangle = 1/2 *(5/2)(4)

Area of triangle = 1/2(2.5)*4

Area of triangle = 2 * 2.5

Area of triangle = 5cm^2

Area of semicircle = πr²/2

r = 2.5cm

Area of semicircle =(3.14)(2.5)²/2

Area of semicircle = = 3.14 * 4.5

Area of semicircle = 9.8125cm^2

Area pf the figure = 5+9.8125

Area pf the figure = 14.8125cm^2

For the perimeter

Perimeter of the semicircle = 2πr

Perimeter of the semicircle = 2(3.14)(2.5)

Perimeter of the semicircle = 15.7cm

Perimeter of the semicircle = = 15.7 + 5 + 5

Perimeter of the semicircle = 25.7cm

what is area how do you find the area if a rectangle​

Answers

Answer: To find the area of a rectangle, multiply its height by its width. For a square you only need to find the length of one of the sides (as each side is the same length) and then multiply this by itself to find the area.

Step-by-step explanation:

Answer:

If it is a rectangle you just do A=w*h

width times height

you don't have a picture showing the rectangle so I can't find the area

Step-by-step explanation:

help me noww i neex helppppp

Answers

x = 135 degrees

Angles on a straight line measures 180 degrees

Therefore subtract 45 degrees from 180 degrees and the total is x.

help me please! i am struggling:(​

Answers

Answer: A)

In order to inscribe a square in a circle using only a compass and straight edge, you must first draw a tangent

Step-by-step explanation:

have a nice day!! ^_^

A scientist completed
1
3
page of a report each hour. The report was 5 pages long. How long did it take the scientist to complete the report?

A.
1
8
hour

B.
1
15
hour

C.
8 hours

D.
15 hours

Answers

Answer:

D 15

Step-by-step explanation:

it takes her an hour for 1/3 of a page. 1/3 x 3 = 3. 3x5 = 15

The number of pieces of cat food in a one-cup scoop is approximately Normally distributed with a mean of 344 pieces and a standard deviation of 16 pieces. If a random sample of 28 scoops of cat food is selected, what is the probability that the mean number of pieces will be more than 350 pieces? 0.0236 0.3538 0.6462 0.9764

Answers

Answer:

0.0236

Step-by-step explanation:

took the quiz

simplified result of 9m-7-5m

Answers

4m-7 is the simplifies result

13. A train travels 24 miles in 2 hours. How many miles per hour is the train traveling? *

Answers

Answer:

12 mph

Step-by-step explanation:

24/2 = 12

Answer:

48 miles per hour

Explanation:

24 x 2= 48

Other Questions
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