Answer:
[tex]c=-2[/tex]
Step-by-step explanation:
We are given the function:
[tex]f(x) = -2c + cx - x^2[/tex]
And that:
[tex]\displaystyle f^{-1} (5) = -1[/tex]
And we want to determine the value of c.
Recall that by definition of inverse functions:
[tex]\displaystyle \text{If } f(a) = b, \text{ then } f^{-1}(b) = a[/tex]
So, since f⁻¹(5) = -1, then f(-1) = 5.
Substitute:
[tex]f(-1) = 5 = -2c + c(-1) - (-1)^2[/tex]
Simplify:
[tex]5 = -2c - c - (1)[/tex]
Combine like terms:
[tex]6 = -3c[/tex]
And divide. Hence:
[tex]c = -2[/tex]
In conclusion, the value of c is -2.
What is the quotient when the polynomial 4x2 - 2x - 12 is divided by 2x - 4?
ABCD is a parallelogram. Find the values of x and y. Solve for the value of z, if z= x-y.
Answer:
D. 20
Step-by-step explanation:
since the given shape is a parallelogram the parallel sides' length must be equal:
2x-10 = x+30
2x-x = 30+10
x = 40
2y-10 = y+10
2y-y = 10+10
y = 20
since z = x - y
z = 40-20
z = 20
(2) Mele scored 70% on
a fun
geography quiz. What fraction of the
test did she get right?
Ralph owns the farmer’s silo shown. The silo is a cylinder with a half-sphere as the roof. He wants to fill it up with corn for the pigs. If it costs $1.13 per cubic meter to purchase the corn, how much will it cost to fill up the whole silo?
Answer:
Half-Sphere Volume = [( π •diam³) / 6] / 2
Cylinder Volume = ¼ • π • diam² • height
Cylinder height = 19 meters
Sphere diameter = 10 meters
Cylinder portion = ¼ • π • diam² • height
Cylinder portion volume = ¼ • π • 10² • 19
Cylinder portion volume = 1,492.26
Half-Sphere Volume = [( PI * 10^3) /6 ] / 2
Half-Sphere Volume = 261.80
Total Volume = 1,492.26 + 261.80 = 1,754.06 cubic meters
corn is $1.13 per cubic meter
total cost = 1,754.06 * $1.13 = 1,982.08
Answer is C 1,981.08
Step-by-step explanation:
Can anyone help me with this question?
x^{2} + 7x -144
quadratic equations
Answer:
?
Step-by-step explanation:
Brainly challenge.
Mrs. Applebaum goes to the supermarket to buy a box of cereal. She has a coupon for 35 cents off. The original
price is $4.73. How much does she need to pay for the cereal?
O $1.23
O $4.38
$4.48
O $5.08
HELPP
Answer:
4.73 - 0.35 = 4.38. Mrs Applebaum needs to pay $4.38
Step-by-step explanation:
Answer:
$4.38
Step-by-step explanation:
$4.73 is the full price. She has a coupon for 35 cents OFF which means you have to subtract .35 from 4.73. 4.73 - .35 = 4.38
evaluate :5/63-(-6/21)
Answer:
answer is [tex]\frac{23}{63}[/tex]
Step-by-step explanation:
the equation is
[tex]\frac{5}{63}-(-\frac{6}{21} )[/tex]
=> [tex]\frac{5}{63}+\frac{6}{21}[/tex]
=> [tex]\frac{5}{63}+\frac{2}{7}[/tex] ;(divide numerator and denominator of [tex]\frac{6}{21}[/tex] by 3)
=> [tex]\frac{5+2*9}{63}[/tex]
=> [tex]\frac{23}{63}[/tex]
hope you have understood this
pls mark it as the brainliest
The formula for the circumference of a circle is c= 2pi r, where r is the radius. Rearrange the formula to solve for our and select the correct option below
Answer: r = C/(2pi)
This is the same as writing [tex]r = \frac{C}{2\pi}[/tex]
=========================================================
Explanation:
pi is some number (approximately 3.14) which means 2pi is also some number (roughly 6.28)
Saying c = 2pi*r means we have 2pi times r, and the result is the circumference c. To isolate r, we'll undo the multiplication. We'll undo it by dividing both sides by 2pi like so
C = 2pi*r
C/(2pi) = r
r = C/(2pi)
in which we can write it like [tex]r = \frac{C}{2\pi}[/tex]
So whatever C is, we divide it over 2pi (aka roughly 6.28) to get the radius.
-----------------
Extra Info (Optional Section):
As an example, let's say the circumference of the circle is 628 feet. This means the distance around the circle is 628 feet. So C = 628 would lead to...
r = C/(2pi)
r = C/(6.28)
r = 628/(6.28)
r = 100
So the radius would be roughly 100 feet.
[tex]\frac{1}{4}X - 1 = 13[/tex]
Answer:
x =56
Step-by-step explanation:
1/4 x - 1 =13
Add 1 to each side
1/4x - 1+1 = 13+1
1/4 x = 14
Multiply each side by 4
1/4x * 4 = 14*4
x =56
if the cost of 2:dozen copies is Rs 720 , find the cost of 72 copies .
Answer:
Rs 2160
Step-by-step explanation:
1 dozen = 12 copies
2 dozen = 24 copies ( 2*12)
72÷12 = 6 dozen
72 copies = 6 dozen
1 dozen = Rs 720÷2
1 dozen Rs 360
6 dozen = 360*6
6 dozen = 72 copies = Rs 2160
Please answer this, I need help
Answer:
19
Step-by-step explanation:
(6 + h^2 - j) ÷ 2
Plug in:
(6 + h^2 - j) ÷ 2
(6 + 6^2 - 4) ÷ 2
(6 + 36 - 4) ÷ 2
(42 - 4) ÷ 2
38 ÷ 2
19
Hope this helped.
Answer:
19
Step-by-step explanation:
( 6 + h² - j ) ÷ 2
h = 6 and j = 4
( 6 + 6² - 4 ) ÷ 2
Evaluate using PEMDAS
Parenthesis
Exponents
Multiplication and Division (left to right)
Addition and Subtraction (left to right)
First do operations inside of the parenthesis
( 6 + 6² - 4 ) ÷ 2
Exponents come first
(6 + 36 - 4) ÷ 2
Then do addition and subtraction going left to right
(6 + 36 - 4) ÷ 2
Add 6 and 36
( 42 - 4 ) ÷ 2
Subtract 42 and 4
38 ÷ 2
Finally do the division
19
And we are done!
A certain city garden has 64 flowers and 24 decora-
tive shrubs planted. The garden planner wants to
plant more flowers until the ratio of flowers to
shrubs is 12:1. How many more flowers will the
garden planner need?
Answer:
224 more flowers
Step-by-step explanation:
If the planner wants the ratio of flowers to shrubs to be 12:1, that means there will be 12 times as many flowers as shrubs.
Find what 12 times the number of shrubs is:
24(12)
= 288
So, the planner will need 288 flowers in total.
Find how many more he needs to plant by subtracting the current amount of flowers from 288:
288 - 64
= 224
So, the garden planner will need 224 more flowers.
Given the function g(x) = x2 + 10x + 18, determine the average rate of change of
the function over the interval -11 < x < -1.
Answer:
-2.
Step-by-step explanation:
Average rate of change of the function = [ f(-1) - f(-11)] / [(-1 - (-11)]
= [(-1)^2 + 10*-1 + 18 - ((-11)^2 + 10*-11 + 18)] / 10
= (1 - 10 + 18 - (121 - 110 + 18) / 10
= (9 - (29) /10
= -20/10
= -2.
Answer:
Step-by-step explanation:
The answer is +2 or 2.
can you please tell me the answer I don't know
Answer:
Twenty-eight billion five hundred forty-two million rupees
28,542,000,000 rupess
or, 28.542 × 10⁹ rupees
Jimmy is saving money to buy a concert ticket for $155. He has $42 so far and he can save $20 per week. In how many weeks will he have enough money to buy the ticket? Select an equation that could be used to answer the question above. Let W represent the number of weeks. A. 20w + 42 = 155 B. 20w - 155 =42 C. 42w + 20 = 155 D. 155w - 20 = 42
Answer:
The answer for this question is A
Suppose a wall divides a playground, and twenty balls lie on the ground on the east side, while forty balls lie on the west side. If a child on the east side of the wall always tosses a ball over the wall at the same time a child on the west side tosses a ball over the wall, then:
Answer:
The amount of balls on each side would stay the same. The amount of balls would stay the same as long as both sides are throwing the same number of balls at the same time.
Step-by-step explanation:
Equation for east side: 20 (balls) -1 (thrown over to west) + 1 (thrown over from west) = 20 balls
Equation for west side: 40 (balls) -1 (thrown over to east side) +1 (thrown over by east side) = 40 balls
PLEASE HELP ME I WILL MARK BRAINLIEST!
compute the range of the figures into the table
1.11(5) - 11(4) =
2.8(-3 + 2) =
3.6(9) - 4(6) =
4.7(4) - 2(0) =
5.15(3) - 2(12) =
6.9(5 + 3) =
7.12(2) - 7(2) =
8. 8(3) =
9.(6)6) =
10.11(9) =
11.8(5) - 2(7) =
12.5(n) =
13.5y(2) =
14.13(x + 2) =
15. 16(5x - 8) =
16.23y( 2 + 4) =
Answer:
1) 11
2) -8
3) 30
15) 80x - 128
16) 138y
Step-by-step explanation:
For these problems, you will need to use either PEMDAS or distributive property.
PEMDAS stands for parentheses, exponents, multiplication/division, addition/subtraction. Problems must be solved by going in order of the acronym, always starting with anything in parentheses first.
Example of PEMDAS:
2) 8(-3 + 2)
Solve for what's inside the parentheses first. There are no exponents, multiplication, or division within the parentheses so next would be addition and subtraction.
-3 + 2 = -1 so the problem will now look like:
8 (-1)
Next, PEMDAS says to look for exponents. There are none. Multiplication and division are next. 8 is being multiplied by -1 so lets try that:
8 × -1 = -8
-8
Distributive property is when you take the number being multiplied on the outside of the parentheses and multiply it to each individual number within the parentheses.
Example of distributive property:
2) 8(-3 + 2)
Multiply the number on the outside of the parentheses, 8, to each number within the parentheses, -3 and 2:
8 × -3 and 8 × 2
The problem should look like:
-24 + 16
Then solve:
-8
Use whichever method you are most comfortable with as both will produce the same answer. I will solve the first few and the last few to help you.
1)
11(5) - 11(4)
55 - 44
11
3)
6(9) - 4(6)
54 - 24
30
15) *You must use distributive property for these last problems as you cannot add or subtract numbers and variables*
16(5x - 8)
80x - 128
*You can only combine like terms so this is fully simplified*
16)
23y(2 + 4)
46y + 92y
138y
-170=-7(8n-7)+5 please help
Answer:
n=4
Step-by-step explanation:
Let's get rid of the parenthesis first. We're left with -170=-56n+49+5. Let's move all of the numbers together so that the variable is separated from the numbers. Now we have 56n=224 using inverse operations. If we divide both sides by 56, we're left with n=4.
Hope this helped!
Answer:
n = 4
Step-by-step explanation:
-170=-7(8n-7) +5
-170=-56n+49+5
-170=-56n+54
-170+56n=54
56n=170+54
56n= 224
n=4
Answer always, sometimes or Never.
Natural numbers are ----------- integers
Irrational numbers are ----------- rational numbers
Rational numbers are --------- real numbers
Square roots are __________Rational numbers
Step-by-step explanation:
1)Always
2)never
3)Always
4)Never
Type the correct answer in each box. Use numerals instead of words,
Cassie's age is 3 less than twice Kara's age. The sum of their ages is 42.
Create an equation to find Kara's age, n.
nt(
[
70
Answer: x + 2x - 3 = 42 is the equation and kara is 15 years old and cassies is 27 years old.
Step-by-step explanation:
Let age of kara be x years
Cassie's age will be 2x-3 years
ATQ
x + 2x-3 = 42
3x = 42+3
3x = 45
x = 45/3
x = 15
Kara's age = 15 years
Cassie's age = (15×2)-3
= 30-3
= 27 years
please click thanks and mark brainliest if you like :)
Answer:
Step-by-step explanation:
Last year, Mary opened an investment account with $5400. At the end of the year, the amount in the account
had decreased by 6%.
pls help, and explain. I will give brainliest
Answer:
Nicole should take 13 1/8 cups of snack mix.
Step-by-step explanation:
If a serving size is 7/8 and Nicole wants to take 15 serving sizes (15 7/8's), then we must multiply 7/8 by 15:
15 × 7/8
Write 15 over 1 (15 = 15/1) to make the calculations easier:
15/1 × 7/8
Multiply the numerators and denominators separately:
15 × 7 / 1 × 8
105 / 8
Instructions don't say you have to do this but I will convert this improper fraction into a mixed number:
105/8 = 13 1/8
In the diagram below, PQ is parallel to MN. Solve for 2. Round your answer to the
nearest tenth if necessary.
X=
Factor this polynomial expression.
x2 + 12x + 36
A. (x + 9)(x + 4)
B. (x - 6)(x - 6)
C. (x + 6)(x + 6)
D. (x - 9)(x - 4)
Answer:
(x+6)(x+6)
Step-by-step explanation:
x^2 + 12x + 36
Factor
What two numbers multiply to 36 and add to 12
6*6 = 36
6+6 =12
(x+6)(x+6)
what is the area of the figure below?
Answer:
D. 72 [tex]in^2[/tex]
Step-by-step explanation:
The square is 36 in2
The 2 triangles are both 18 in2.
36+18+18=72 in2
I hope this helps!
pls ❤ and give brainliest pls
Answer:
Area is 72 in²
Step-by-step explanation:
= Area of three triangles + area of square.
[tex]{ \bf{ = 3 \times ( \frac{1}{2} b \times h) + (s \times s)}}[/tex]
substitute:
[tex]{ \sf{ = ( \frac{1}{2} \times 6 \times 6) + 2( \frac{1}{2} \times 6 \times 3) + (6 \times 6)}} \\ = { \sf{18 + 18 + 36}} \\ = { \sf{ {72 \: in}^{2} }}[/tex]
30 in.
20 in.
36 in.
Find the area of the trapezoid shown above.
[?] square inches
Answer:
660 in^2
Step-by-step explanation:
The formula to calculate area of trapezoid : (a+b)/2*h (a: base, b: base, h: height)
(30+36)/2*20 = 660 in^2
wats 8 to the 3rd prower +270
Answer:
The answer is 782
Step-by-step explanation:
8 to the 3rd power would be 512
And if you add 270 + 512
270 + 512 = 782
Answer:
782
Step-by-step explanation:
8^3 +270
Calculate 8 to the power of three : 8 x 8 x 8 = 512
Then add 512 to 270
512+270 = 782
PLEASE HELP ASAP :))
Sophie tried to evaluate an expression. Here is her work:
92 : 32.2 + 7.6
= 81 - 9.2 + 7.6
Step 1
= 9.2 + 7.6
Step 2
= 18 + 7.6
Step 3
= 25.7
Step 4
= 175
Step 5
Is Sophie's work correct?
Yes, Sophie's work is correct
No, Sophie made a mistake going from Step 1 to Step 2
O No, Sophie made a mistake going from Step 3 to Step 4.
No, Sophie made a mistake going from Step 2 to Step 3
8. PLEASE HELPP!! Find the area of the shaded sector. Leave your answer in terms of .
Answer:
Area of a complete circle = PI * r^2
The shaded area is 1/3 of the circle so
Area = (PI * 9^2) / 3
Area = (254.4690049408) / 3
Area = 84.8230016469
Area = 84.82 square feet (rounded)
Step-by-step explanation:
