Answers
Answer:
Step-by-step explanation:
6. x² + 8x + 7
= x² + 7x + x + 7
= x (x + 7) + 1 (x + 7)
= (x + 1) (x + 7)
Option D is the answer.
7. x² - x - 72
= x² - 9x + 8x - 72
= x(x - 9) + 8(x - 9)
Option B is the answer.
8. x² - 49
= (x - 7) (x + 7) [formula used a² - b² = (a-b)]
Option D is the answer.
9. 9x² - 54x + 72
= 9(x² - 6x + 8)
= 9(x² - 4x - 2x + 8)
= 9[x(x-4) -2 (x-4)]
= 9[(x - 2) (x - 4)]
= Option A is the answer.
10. x⁴ - 3x³ - 10x²
= x² (x² - 3x - 10)
= x² (x² - 5x + 2x - 10)
= x² [x (x-5) + 2 (x-5)]
= x² (x+2) (x-5)
Option A is the answer.
Related Questions
Let f be differentiable such that f(-2)=3,f(3)=5, f'(-2)=4 and f'(3)=6. Let g be differentiable functions such that g(x)=f^-1 (x) for all x. What is the value of g'(3)
Answers
Answer:
[tex]g'(3)=\frac{1}{4}[/tex]
Step-by-step explanation:
There is a rule in calculus that tells us that:
[tex]g'[f(x)]=\frac{1}{f'(x)}[/tex]
In this case, we know that f(-2)=3, therefore:
g'(3)=g'(f(-2))
So, if we used the rule, we would get that:
[tex]g'[f(-2)]=\frac{1}{f'(-2)}[/tex]
we know that f'(-2)=4, so:
[tex]g'[f(-2)]=\frac{1}{4}[/tex]
or:
[tex]g'[3]=\frac{1}{4}[/tex]
Solve and show work.
Answers
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Answers
Answer:
Step-by-step explanation:
Calculate the area of the base (which is a circle) by using the equation πr² where r is the radius of the circle. Then, multiply the area of the base by the height of the cylinder to find the volume.
Answer:
[tex]\frac{32}{3} \pi \\v= 33.5[/tex]
Step-by-step explanation:
[tex]v=\frac{4}{3} \pi r^{3}[/tex]
[tex]v= \frac{4}{3} \pi 2^{3} \\\\v=\frac{4}{3} \pi 8\\v=\frac{32}{3} \pi \\v= 33.5[/tex]
What's the degree of 6s^4 t^2?
Answers
Answer:
6
Step-by-step explanation:
add the two exponents
Answer:
Step-by-step explanation:
Add all the powers of the term.
4 + 2 = 6
Degree = 6
find the value of given expression
[tex] \sqrt{56 - 7} [/tex]
Answers
Answer:
± 7
Step-by-step explanation:
Given
[tex]\sqrt{56-7}[/tex]
= [tex]\sqrt{49}[/tex]
= + 7 or - 7 , that is ± 7
Answer:
±7
Step-by-step explanation:
56 - 57
______
gives you 49
which then turns into ±7
⇒⇒⇒Hope this helps!
write 24 minutes to 3 hours as a ratio in its simplest form
Answers
24:180
6:45
3:15
1:5
3 hours = 180 minutes
So, 24:180.
Simplified: 1:5
Hope this helps; have a great day!
Indicate whether each statement about linear functions A and B shown below is true or false by checking the appropriate box in the table.
Function A
Function B
2
3
4
3
2
11
15
19
+
5
<
Statement
True
False
The rates of change for both Function A and Function B are positive.
The rate of change for Function A is 3 times the rate of change for Function B.
The intercepts for both Function A and Function B are positive
Answers
Use the simple interest formula to find the interest earned and the ending balance. I = Prt
1. $48,000 at 3% for 6 years
Answers
Answer:
8640
Step-by-step explanation:
I = Prt
I = (48000)(0.03)(6)
I = 8640
What is the surface area of a dome (a half sphere) with a radius of 6 meters?
72 pi meters squared
48 pi meters squared
24 pi meters squared
144 pi meters squared
Answers
Answer: 72π meters squared.
Step-by-step explanation: Given that the radius is 6 meters, use the sphere surface area formula to find the surface area of the half-sphere;
Replace the value in the formula: A=4πr² → A=4π6²Solve the exponent first: A=4π6² → A=4π36The order of the multiples does not affect the total, so we can multiply 4 times 36 first: A=4π36 → A=144π144π is the surface area of the whole sphere, so half the sphere will be 72π. In conclusion, the surface area of the dome will be 72π meters squared.Which function represents exponential decay?
Answers
the answer to your question would be D
7 inches, 8 inches, 9 inches will these lengths form a triangle
Answers
Answer:
Yes
Step-by-step explanation:
If we use the triangle inequality theorem, then we would have:
7+8 > 9
HOPEE THIS HELPS
Mrs. Baxter deposits $2000 in an account that earns 5% interest. How much is Mrs. Baxter's investment worth after 8 years
Answers
Answer:
2954.91088758
Step-by-step explanation:
exact answer
How many hours do Max and Sasha exercise per week?
Max and Sasha exercise a total of 20 hours each
week. Max exercises 15 hours less than 4 times
the number of hours Sasha exercises. The system
x+y= 20
of equations
x - 4y = --15
represents this
situation, where x represents the number of hours
Max exercises and y represents the number of
hours Sasha exercises. How many hours do Max
and Sasha exercise per week?
Answers
Jami deposits $800 in her bank account which collects 2% interest annually. How much total money will she have in her bank account after three years?
Answers
Answer:
$848
Step-by-step explanation:
800 x .02 x 3
800 is the input
.02 is the interest but rule is to move the decimal over
3 is the 3 years
I checked this with an interest calculator and its correct
https://www.dollartimes.com/savings/800
^thats the interest calculator if u need u can copy paste into ur browser^
Answer:
$848
Step-by-step explanation:
y = (x + 4)(x - 1) what is the x intercept
Answers
(−4,0), (1,0)
There hope this helped
x intercept the y coordinate is 0
0=(x+4)(x-1)
Since brackets are multiplying and =0 one bracket needs to add up to 0
either x+4=0 or x-1=0
x+4=0
x=-4
x-1=0
x=1
So coordinates are
(-4,0). AND (1,0)
The weights in pounds of five cats are 12, 14, 12, 16, and 16. Find the mean, median, mode, and range of the data set.
Answers
Answer:
Mean: 14
Median: 14
Mode: 12, 16
Good luck!
given g(x)=-x-2find g(-3)
Answers
Answer:
-5
Step-by-step explanation:
look at the pictire......
Find the output, y, when the input, x, is 30
y=14 - 0.5x
Answers
Answer:
y = -1
Step-by-step explanation:
Given x = 30 , y = 14 -0.5x
Find y
let (x = 30) fill in y
y = 14 - 0.5(30)
y = 14 - 15
Thus , y = -1I will give you brainilest.
You might think that the angle between the hour and minute hand at 2:20 is 60 degrees, but it is not! The hour hand has moved beyond the 2. Calculate the angle between the clock hands at 2:20.
Answers
Answer:
70 degrees
Step-by-step explanation:
Moving from one hour number to the next (12 to 1, 3 to 4, etc) moves the hand of the clock 30 degrees. Using this, we know that the hour hand moved 60 degrees to get to the hour number 2. Then, the angle the hour hand moved because of the minute hand can be calculated by doing (20/60)*30=10. So the final answer would be 70 degrees.
If you want 2 cookies and you only have.50 cents and the cookies cost 10 dollars how much money will you have to get if you only have.50 cents
Answers
Answer:
The answer would be 15 cookies.
Step-by-step explanation:
Cookies = 24 cents each
Pop = 45 cents each
you would need about 2000 pennies to have enough to buy two cookies, 2000-50=1950, so if you have 50 cents you would need 1,950 more pennies to be able to get 2 cookies
PLEASE HELP ME IM BEGGING ITS DUE IN 10 MINUTES
Answers
Answer:
wow good luck mines due in 5 mins and im stuck hahah
Step-by-step explanation:
The vertex form of the equation of a parabola is y = 2(x+ 3)2 - 5.
What is the standard form of the equation?
Answers
Answer:
y = 2x² + 12x + 13
Step-by-step explanation:
Solve for x*
please help
Answers
Answer:
B
Step-by-step explanation:
∠ AEB and ∠ ADC are corresponding angles and are congruent, then
3x - 10 = x + 40 ( subtract x from both sides )
2x - 10 = 40 ( add 10 to both sides )
2x = 50 ( divide both sides by 2 )
x = 25
How do I find the solution to 1 = r /12 ?
Answers
R=12
Answer:
first, you have to multiply out the 12, to isolate the r. so multiply 12 to both sides to get:
r= 12
Step-by-step explanation:
i hope this helps :)
is anyone like good at math that can help me real quick?
Answers
help asap please!!!!
M is the midpoint of AB. The coordinates of A are (-2,3) and the coordinates of M are (1,0). Fine the coordinates of the other endpoint, point B.
Answers
Solve the following 1/2a + b
If a=10 b = 7 *
Answers
Answer:
1/2 × 10 + 7
=5+7
=12
..................
Answer:
12
Step-by-step explanation:
1/2a+b=
1/2*10 + 7 =
5+7= 12
plzzzzzz i need help nowwwwwwwwwwwwww
Answers
Answer:
Step-by-step explanation:
the area is 314.16
Answer:
314 square inches
Step-by-step explanation:
A= 3.14 x (10)2
= 3.14 x 100
= 314
What does the mode represent in a set of numbers?
Answers
Answer:
The mode is the number that shows up the most in the set.
Step-by-step explanation:
1 4 6 3 7 1 1 4 9 1
mode is 1
The mode represents the most frequent number that is, the number that occurs the highest number of times in a set of numbers.
Given that,
Define the term 'Mode'.
Since, The mode, in a set of numbers, represents the value that appears most frequently.
It is a measure of central tendency, providing insights into the most common or popular value within the data set.
For example, let's consider the set of numbers: 3, 5, 5, 1, 2, 4, 5, 3, 5, 6.
In this set, the mode is 5 because it appears more frequently than any other number.
So, The mode, in a set of numbers, represents the value that appears most frequently.
To learn more about the mode visit:
https://brainly.com/question/29288774
#SPJ6
The perimeter of a rectangle is 36 meters. If the length of the rectangle is 10 meters, what is the width (in meters)?