If f (-8)= 0 and f (x)= x^3-x^2-58x+112, find all the zeros of f(x) write your answer in ascending order
Answers
Answer:
The zeros in ascending order are 2, 7, 8.
Step-by-step explanation:
Since f(-8) = 0, it means that (x + 8) is a factor of the function f(x)= x³ - x² - 58x + 112.
I have attached the long division of this to get the remaining factors of the polynomial function.
The remaining factor is;
x² - 9x + 14
Using quadratic formula via a calculator, we have; x = 7 and x = 2
Thus,the zeros of the polynomial function f(x)= x³ - x² - 58x + 112 in ascending order are;
2, 7, 8
Related Questions
how many times can 82 go into 401
Answers
Answer:
4.89 times
Step-by-step explanation:
I hope this helps :)
Answer:
82 can go into 401 four times.
Step-by-step explanation:
82 multiplied by 4 is 328, and if you add another 82, the number would be greater than 401, so the answer is 4 times.
What is the area of the rectangle with the given dimensions? *
The dimensions of a rectangle are 2x - 5 and
3x + 3. Which expression represents the area
of the rectangle in simplest terms?
F 6x2 - 9x - 15
G 6x2 - 9x + 15
H 6x + 9x - 15
J 6x - 15x - 9
Answers
Given:
The dimensions of a rectangle are [tex]2x-5[/tex] and [tex]3x+3[/tex].
To find:
The expression that represents the area of the rectangle in simplest terms.
Solution:
Area of a rectangle is:
[tex]Area=Length\times Width[/tex]
The dimensions of a rectangle are [tex]2x-5[/tex] and [tex]3x+3[/tex]. So, the area of the given rectangle is:
[tex]Area=(2x-5)\times (3x+3)[/tex]
[tex]Area=2x(3x)+2x(3)-5(3x)-5(3)[/tex]
[tex]Area=6x^2+6x-15x-15[/tex]
[tex]Area=6x^2-9x-15[/tex]
Therefore, the correct option is F, i.e., [tex]6x^2-9x-15[/tex].
Any helpers? Need help asap
Answers
Answer: positive: up down/ up up negative: down up down down
Step-by-step explanation:
Negative is down-up and down-down
Simplify (2x + 5y)(3x – 7y) - 2xy
Helpppp
Answers
Use the following equation:
(x + 4)² + (y + 6)² = 9
What is the x and y value of the center of the circle?
Answers
Answer:
(-4, -6)
Step-by-step explanation:
If 40% of a number is 112 and 95% of the same number is 266, find 55% of that number.
Answers
Answer:
154
Step-by-step explanation:
.4 x 112 = 280
.95 x 266 = 280
.55 x 280 = 154
At an ice cream shop, 4 of the last 12 cones sold had chocolate ice cream. Considering this data, how many of the next 15 cones sold would you expect to have chocolate ice cream?
Answers
Answer:
5
Step-by-step explanation:
First, write the experimental probability as a fraction in simplest form.
P(chocolate)
=
chocolate
total
=
4
12
=
1
3
The experimental probability is
1
3
.
We can predict the outcome of the second set of trials by assuming that the ratio will be the same as in the first set of trials. Write a proportion by setting the two ratios equal to each other, then solve.
1
3
=
n
15
1
3
(315)
=
n
15
(315) Multiply both sides by (315)
115
= 3n Simplify
15
= 3n Simplify
5
= n Divide both sides by 3
You would expect 5 of the next 15 cones sold to have chocolate ice cream.
An orchestra has 100 musicians 4/10 of them play string instruments-violin , viola, cellodouble bass , guitar, lute, and harp. What decimal is equivalent to 4/10 ?
Answers
Hope this helps!
find f(3) if f(x)=-3x-6
Answers
Answer:
-3(3)-6=-15
Step-by-step explanation:
Which graph correctly solves the equation below?
-x² – 1 = 2x^2 – 4
Answers
Answer: Hope this helps. I didn't see any graphs posted on your question.
Step-by-step explanation:
y = -x²-1
y = 2x²-4
Edit: posted wrong screenshot :/
here is the actual one lol
Kris claims that the two figures must be congruent.
Two triangles have angles 100 degrees, 50 degrees, and 30 degrees.
Which statement best describes his claim?
He is correct because both figures are triangles.
He is correct because the measures of the angles are the same in both figures.
He is incorrect because the triangles are not oriented the same way.
He is incorrect because the lengths of the corresponding sides of the figures are unknown.
Answers
Answer: it’s D) the last one
Solve for x
B
31°
С
26
X=
(Round to the nearest hundredth.)
Answers
Answer:
S i neorrddints poy
Step-by-step explanation:asdadasdasdasdo
what is the value of a and b
Answers
What is the quotient of 5 1/2 ÷ 3/8?
Answers
Answer:
14 2/3
Step-by-step explanation:
It's easiest to convert 5 1/2 to the improper fraction 11/2.
Then the problem calls for dividing 11/2 by 3/8, which, in turn, is equivalent to
the product of 11/2 and 8/3:
11 8
---- * ----- = 88/6 or 44/3 or 14 2/3
2 3
Optionally you could convert to mixed decimal fractions:
5.5
---------- = 14 2/3 (same as before)
0.375
Answer:
..............
Step-by-step explanation:
Same i am not that questin pls help
If −x+8y=−3 is a true equation, what would be the value of 2(−x+8y)?
Answers
Answer: -6
Step-by-step explanation:
If −x+8y=−3 is a true equation, we plug in -3 for -x + 8y, we get 2(-3) = -6.
Find the value of a in the diagram below:
20
40°
200°
Answers
angles in triangle =180
180-40=140
the other angle is a right angle so 90°
140-90=50
Solve for b
2/3b+5=20-b
b=
Answers
Answer:
the answer is b=9 and good luck .
Write an equation of the line. Express the answer using either the general form or the slope-intercept form of the equation of a line.
Answers
Answer:
y=x-4
Step-by-step explanation:
The graph intercepts the y-axis at -4 and when you do rise over run you get 4/4 which is just equal to 1 so there would not be a coefficient in front if x
Help me with this! Will give brainlist!!
Answers
Answer:
answer is C i think
Step-by-step explanation:
Answer:
18.85 B
Step-by-step explanation:
ANSWER ASAP! WILL MARK BRAINLIEST DUE TODAY
Find the value of x.
A) 18
B) 36
C) 45
D) 50
Answers
B) 36 !
Step-by-step explanation:
Hope I helped u. :)
if you make $8 an hour and you get a 10% raise how much are you making now
Answers
Answer:
$8.8
Step-by-step explanation:
[tex]8*0.10=0.8[/tex]
[tex]8+0.8=8.8[/tex]
What is the Sector area with radius 6 and an angle of 50°? Use 3.14 for pi.
Answers
Answer:
15.7 units²
Step-by-step explanation:
The sector area is 50/360 times the area of the circle (since the central area of a complete circle is 360° and that for the sector is 50°), or
Sector area = (50/360)(3.14)(6 units)² = 15.7 units²
Britton simplified an expression and got 1 108 for his answer. If he simplified correctly, which expression did Britton simplify?
Answers
Answer:
step-by-step explanation:
first you will have to convert 3/4 into a decimal
which is .75
then you will have to divide 1.5 by .75
which is 2
no you have to divideStep-by-step explanation:
Describe lengths of three segments that could not be used to form a triangle. Segments with lengths of 5 in., 5 in., and ______ in. Cannot form a triangle.
Answers
Answer:
[tex]c = 11[/tex]
Step-by-step explanation:
Given
Let the three sides be a, b and c
Such that:
[tex]a = b= 5[/tex]
Required
Find c such that a, b and c do not form a triangle
To do this, we make use of the following triangle inequality theorem
[tex]a + b > c[/tex]
[tex]a + c > b[/tex]
[tex]b + c > a[/tex]
To get a valid triangle, the above inequalities must be true.
To get an invalid triangle, at least one must not be true.
Substitute: [tex]a = b= 5[/tex]
[tex]5 + 5 > c[/tex] [tex]===>[/tex] [tex]10 > c[/tex]
[tex]5 + c > 5[/tex] [tex]===>[/tex] [tex]c > 5 - 5[/tex] [tex]===>[/tex] [tex]c > 0[/tex]
[tex]5 + c > 5[/tex] [tex]===>[/tex] [tex]c > 5 - 5[/tex] [tex]===>[/tex] [tex]c > 0[/tex]
The results of the inequality is: [tex]10 > c[/tex] and [tex]c > 0[/tex]
Rewrite as: [tex]c > 0[/tex] and [tex]c < 10[/tex]
[tex]0 < c < 10[/tex]
This means that, the values of c that make a valid triangle are 1 to 9 (inclusive)
Any value outside this range, cannot form a triangle
So, we can say:
[tex]c = 11[/tex], since no options are given
Write with rational exponents. Be sure to show your work and simplify your answer. See the file below.
Answers
Answer:
(12ab)^1/2
Step-by-step explanation:
(⁶√12ab)³
= [(12ab)^1/6]³
= (12ab)^(1/6 * 3)
= (12ab)^1/2.
Can someone help me please
Answers
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer: (-10,-2)
Just multiply the points by 2
I hope this helped!
<!> Brainliest is appreciated! <!>
- Zack Slocum
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer:
(-10,-2)
Step-by-step explanation:
Help me please I don’t know this stuff
Answers
Solve for kkk. \dfrac{3}{k} = \dfrac{4}{5} k 3 = 5 4 start fraction, 3, divided by, k, end fraction, equals, start fraction, 4, divided by, 5, end fraction k =k=
Answers
Answer: [tex]\dfrac{15}{4}[/tex]
Step-by-step explanation:
Given
[tex]\Rightarrow \dfrac{3}{k}=\dfrac{4}{5}[/tex]
Apply cross-multiplication
[tex]\Rightarrow K=3\times \dfrac{5}{4}=\dfrac{15}{4}\\\\\Rightarrow k=3\ \dfrac{3}{4}[/tex]
The value of k is [tex]\dfrac{15}{4}\ \text{or}\ 3\ \dfrac{3}{4}[/tex]
Answer:
15/4
Step-by-step explanation:
Lisa needs 18 yards of red, gold, and green fabric to make a quilt. She bought 6 3 4 6 3 4 yards of red fabric and 4 1 3 4 1 3 yards of gold fabric. What is the most accurateestimate for the amount of green fabric Lisa bought?
Answers
Complete Question
Lisa needs 18 yards of red, gold, and green fabric to make a quilt.
She bought 6 3/4 yards of red fabric and 4 1/ 3 yards of gold fabric. What is the most accurate estimate for the amount of green fabric Lisa bought?
Answer:
6 11/12 yards
Step-by-step explanation:
The total yards of fabric = Red + Blue + Green
18 = 6 3/4 + 4 1/3 + Green
Green = 18 - (6 3/4 + 4 1/3) yards
Lowest Common Denominator = 12
18 - (10 + ( 3/4 + 1/3) yards
18 - (10 + ( 9 + 4/12) yards
18 - ( 10 + 13/12) yards
18 - ( 10 + 1 1/12) yards
18 - 11 1/12 yards
= 6 11/12 yards
Therefore, the most accurate estimate for the amount of green fabric Lisa bought is 6 11/12 yards
5 - Numbers from 1 to 50 are written on a piece of paper and dropped into a box. A paper is chosen at random
What is the probability of getting a number less than 19? (whole percentage)
%
Answers
Answer:
1 out of a 50% chance
Step-by-step explanation:
hope it helps