Answer:
Roots of the f(x) is -7 , 4 and 2.
Step-by-step explanation:
Give that
5x^3-5x^2-170x+280 is (x+7)
One factor of f(x) = x + 7
So,
One root , x = -7
First we determine All factors of the given f(x).
Now divide f(x) by given factor the results are given below:
f(x) = ( x + 7 ) ( 5x² - 30x + 40 )
= ( x + 7 ) ( 5x² - 20x - 10x + 40 )
= ( x + 7 ) ( 5x( x - 4 ) - 10( x - 40 ) )
= ( x + 7 ) ( x - 4 ) ( 5x - 10 )
Now
Place x = -7 in the given function,
f(-7) = 5(-7)³ + 5(-7)² - 170(-7) + 280 = -1715 + 245 + 1190 + 280 = 0
So, First root is -7
Now, Place x = 4
f(4) = 5(4)³ + 5(4)² - 170(4) + 280 = 320 + 80 - 680 + 280 = 0
So, Second root is 4
ANd, place x = 10/5 = 2
f(2) = 5(2)³ + 5(2)² - 170(2) + 280 = 40 + 20 - 340 + 280 = 0
So, Third root is 2
Therefore, Roots of the f(x) is -7 , 4 and 2.
Which is the graph of a quadratic equation that has a positive discriminant?
Answer:
D
Step-by-step explanation:
on edge :)
Answer:
D
Step-by-step explanation:
edge
A jacket has an original price tag of $68. The jacket is on sale for 80% of its original price. What is the sale price of the jacket?
Answer:
I believe it is 54.40$
Step-by-step explanation:
I think weird. so
68 divided by 5 which will give you 20%(13.6) then multiply by 4 which is 80%(54.4)
Answer:
Sale price = $13.6
Step-by-step explanation:
The 80% cost of the jacket is,
→ (68/100) × 80
→ 0.68 × 80
→ $54.4
Now the sale price will be,
→ 100% - 80%
→ 68 - 54.4
→ $13.6
Hence, sale price is $13.6.
A certain forest covers an area of 3900 km^2. Suppose that each year this area decreases by 6.75%. What will the area be after 12 years
Answer:
1686
Step-by-step explanation:
Rate of reduction = 100 - 6.75 = 93.25%
After 12 years, the reduction in trees = 0.9325^12 = 0.432301
Area after 12 years = 3900 x 0.432301 = 1686
can you answer this one too please
Answer:
a
Step-by-step explanation:
hello please help thanks
Evaporation Is Your Answer
The first step of the water cycle is evaporation. About 85% of the water vapor in the air comes from water that evaporated from the oceans.
3rd of the day C: dis for u friend
Answer:
Thanks for the points!
Step-by-step explanation:
Helps so much if I got that Brainliest crown
You are so generous
Answer:
hi! do you need help with anything? :)
Step-by-step explanation:
6 grade math pls help
Answer: <2=60°
Step-by-step explanation:
Equilateral meaning all same. Triangle whole will be 180° So 60x3=180°
Answer:
<2=60
Step-by-step explanation:
I hope it help
Solve the equation. 12x+3=51
[tex]12x + 3 = 51 \\ 12x = 48 \\ x = 4[/tex]
Answer:
= 4
Step-by-step explanation:
1 2 + 3 = 5 1
1 2 + 3 -3 = 5 1 − 3
i hope this helps<3
:)
Help fast I gotta pass
Answer:
the value of x=25
option B
WILL MARK BRAINLIEST IF CORRECT
Answer:
3rd Option
Step-by-step explanation:
Answer: The answer is C (the Third choice)
Step-by-step explanation:
a)3/5x + 1/x+2
can be written as a single fraction in the form ax+b/5x(x+2) where a and b are integers.
Work out the value of a and the value of b.
a =
b=
b) Factorise 4(x + y) + (x + y)^2
The value of a and b are a=8 and b=6 respectively.
What is factorization?factorization is the method of breaking a number into smaller numbers that multiplied together will give that original form.
We are given the expression as
3/(5x) + 1/(x+2)
We have to multiply 3 by (x+2) and 1 by (5x)
3(x+2) = 3x+2 and 1(5x)= 5x
Now we have
3x+6/(5x)(x+2)
5x/(5x)(x+2)
Now adding the numerators gives us
8x+6/(5x)(x+2)
Therefore a=8 and b=6
Learn more about factorization here:
https://brainly.com/question/10454590
#SPJ2
Whats is 12 =12x -1 ????????
Answer:
if you want 12 x 12 - 1 it is 143
Answer:
13 / 12
Step-by-step explanation:
12 = 12x - 1
12x - 1 = 12
12x = 12 + 1
12x = 13
x = 13 / 12
Jessica and Lindsay are curious as to who owns the most pairs of shoes. Jessica counter shoes and finds that she owns 18 pairs of shoes. When Lindsay counts hers, she finds that she owns only approx 72% as many as jessica. How many pairs of shoes does she own?
Answer: 13 pairs
Step-by-step explanation:
Given
Jessica owns 18 pairs of shoes
Lindsay has 72% as many as Jessica
So, the number of pairs Lindsay owns
[tex]\Rightarrow 72\%\ \text{of}\ 18=0.72\times 18\\\\\Rightarrow 12.96\approx 13\ \text{pairs}[/tex]
Answer:
13 pairs
Step-by-step explanation:
Given
Jessica owns 18 pairs of shoes
Lindsay has 72% as many as Jessica
So, the number of pairs Lindsay owns
-15.3 = -7.5k + 55.2
Answer:
k=0.1
Step-by-step explanation:
-15.3=-7.5k+55.2
7.5k=15.3+55.2
7.5k=70.5
k=70.5/7.5
k=705mul.10/75mul.10
k=705/0/750
k=0.1
p (x) = - 2/3x^2 compare the graph of f (x) = x ^2
Answer:
p(x) is reflected over the x axis and is shrunken vertically by a factor of 2/3.
Step-by-step explanation:
Hope this helps.
please help 30 points
Answer:
The area of the polygon is 624.5 square feet.
Step-by-step explanation:
The total area of the figure ([tex]A[/tex]), in square feet, is the sum of the areas of two triangles and a rectangle, that is:
[tex]A = A_{I}+A_{II}+A_{III}[/tex] (1)
Where:
[tex]A_{I}[/tex] - Area of the big triangle, in square feet.
[tex]A_{II}[/tex] - Area of the small triangle, in square feet.
[tex]A_{III}[/tex] - Area of the rectangle, in square feet.
Then, we expand the formula by using all dimensions presented in the image attached:
[tex]A = \frac{1}{2}\cdot (25\,ft)\cdot (33\,ft-8\,ft) + \frac{1}{2}\cdot (8\,ft)\cdot (43\,ft-35\,ft) + (35\,ft)\cdot (8\,ft)[/tex]
[tex]A = 624.5\,ft^{2}[/tex]
The area of the polygon is 624.5 square feet.
Jackie deposits $2,050 into an account that pays 6.8% interest compounded annually. How much will be in the account (to the nearest dollar) after 6 years?
Answer:
$2091 (exact answer is $2090.80)
Step-by-step explanation:
2050 × 6.8% = 6.8
So, interest will add an extra $6.80 to his account
6.8 × 6 = 40.8
So, after 6 years, interest will make him an additional $40.80.
Add 40.80 to his original amount of money.
2050 + 40.8 = 2090.80
Round it up to the nearest dollar.
$2091
What is 0.98989898 with bar notation?
Answer:
Man it's easy
0.98.... = —–
0.98
Step-by-step explanation:
try putting a line above the 98.
if it helps don't forget to like and markme
I just need the inequality/equation please!
Stephanie is saving money to buy a computer next year. So far she has saved $200. Write an inequality to show how much she needs to save each month for the next year so she has at least $1200 to spend on the computer, then solve the inequality.
Let x represent the amount that she needs to save each month for the next year.
Stephanie is saving money to buy a new computer. So far she has saved $200. This means that the total amount that she would have saved in y months is
200 + xy
Since there are 12 months in a year,
an inequality to show how much she needs to save each month for the next year so she has at least $1200 to spend on the computer is
200 + 12x ≥ 1200
12x ≥ 1200 - 200
12x ≥ 1000
x ≥ 1000/12
x ≥ 83.33
I'll give the first person to answer a Brainliest :)
Factor: -4y - 16
Answer:
-4(y+4)Step-by-step explanation:
Factors is something that influences something else.
Distributive property:
A(B+C)=AB+AC
16=4*4
Rewrite the problem down.
-4y-4*4
Solve.
Find the common term of -4.
-4(y+4)
As a result, the final answer is -4(y+4).
I'LL GIVE BRAINLIEST TO ONE OF THE FIRST 2 PEOPLE TO ANSWER. DON'T JUST PUT ANYTHING OR YOU WON'T GET BRAINLIEST
Determine whether the ordered pair is a solution of the linear equation. Provide your check step.
-9 - 5y = 4x ; (-6,3)
Answer:
what is ; for that messes me up i dont know why you put that
Step-by-step explanation:
Find the perimeter of the following rectangle. Hint: add all sides.
Answer:
A
Step-by-step explanation:
The formula for the perimeter is 2l +2w. 4x^2+4x^2=8x^2. y^2+y^2=2y^2.
If we add them together the answer is 8x^2+2y^2.
I don't know what the answer is. Please Help
Answer:
D.
Step-by-step explanation:
Hope this helps
~R3V0
Diego thinks that x = 3 is a solution to the equation x² = 16. Do you agree?
Explain or show your reasoning.
Yes, he is correct.
No, he is incorrect. The answer should be 6.
No, he is incorrect. The answer should be 9.
None of the above
Answer: No, he is incorrect. The answer should be 9.
Step-by-step explanation: x² = x times x so in this case x is 3.
3 times 3 = 9
Lol this is prob more helpful than the other answer
please helppp
three numbers have a ratio of 2:3:4 . find the largest number if their sum is 36
Answer: 16 is the largest number
Explanation: Hope this helps!
Answer:
Step-by-step explanation:
2x + 3x + 4x = 36
x = 4
Largest number = 4x = 16
i need help please help me i’m freaking out and I really need this
Answer: oof
Step-by-step explanation:
Answer:
the answer is a
Step-by-step explanation:
A survey taken by 1,000 students at a school asked whether they played school sports. The table below
summarizes all 1,000 responses from the students surveyed.
Males
Females
312
220
Play a school sport
Do not play a school sport
?
216
How many of the males surveyed responded that they do not play a school sport?
252
688
109
468
Wyatt is hiking a trail that is 11/12 mile long.After hiking 1/4 mile he stops for water he continues hiking for another 1/6 mile and stops to rest how much farther must he hike to finish the trail
Answer:
the answer in the simplest form is 1/2 miles and if it's not in its simplest form is 6 /12 .hope it helps.
helpp ill give brainlist
Step-by-step explanation:
[tex]6 {x}^{2} - 5x + 2 - 2 {x}^{4} + 3 {x}^{2} - 2= \\ = - 2 {x}^{4} + 9 {x}^{2} - 5x [/tex]
Answer:
c. g-f(x) -2x⁴+9x²-5x
Step-by-step explanation:
that is the best answer
are the two triangles congruent ? Please answer correctly !!!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!
Answer:
i consiterd them
Step-by-step explanation: