The Correct answer is 3
Explanation:
Using the defined function, f(a) will produce the same result when substituted for x:
F(x)=x^2-x^3
Setting this equal to 4, you can solve for a:
a2 – 5 = 4
a2 = 9
a = –3 or 3
166 2/3 percent as a fraction
The fraction is 5000/3.
What is Percent?To determine the quantity or percentage of something in terms of 100, use the percentage formula. Per cent simply means one in a hundred. Using the percentage formula, a number between 0 and 1 can be expressed. A number that is expressed as a fraction of 100 is what it is. It is primarily used to compare and determine ratios and is represented by the symbol %.
Given:
166 2/3 percent as a fraction
Now, converting it into fraction
= 500/3 x 100
= 50000/3
Hence, the fraction is 5000/3
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in fgh, k is the midpoint of GH what type of segment is fk?
Answer:
Option (1)
Step-by-step explanation:
Median:
A line joining the vertex to the midpoint of opposite side of the triangle.
Altitude:
Perpendicular drawn from a vertex to the opposite side of the triangle.
Angle bisector:
A line bisecting the angle of a triangle.
Perpendicular bisector:
A perpendicular line joining the vertex and the mid point of the opposite side of the triangle.
Hence, Option (1) Median will be the correct option.
A line passes through the point (4, -8) and has a slope of -5/4. Write an equation in slope-intercept form for this line.
Answer:
The answer is
[tex] \huge y = - \frac{5}{4} x - 3[/tex]
Step-by-step explanation:
To find an equation of a line in when given the slope and a point we use the formula
[tex]y - y_1 = m(x - x_1)[/tex]
From the question we have
[tex]y + 8 = - \frac{5}{4} (x - 4) \\y + 8 = - \frac{5}{4} x + 5 \\ y = - \frac{5}{4} x + 5 - 8[/tex]
We have the final answer as
[tex]y = - \frac{5}{4} - 3 \\ [/tex]
Hope this helps you
Show how you would simplify the following expressions. Show your work.
jaleia borrows $1500 from the bank. To pay back the loan this year, she will pay the bank the amount she borrowed plus 12% simple interest. Jaleia wants to know the total amount she will pay back
[tex]y \\ [/tex]
Answer:
asdfasdf
Step-by-step explanation:
Answer:
$1680
Step-by-step explanation:
1500=100%
100+12(interest)=112
112=1.12(multiplier)
1500×1.12=$1680
A student who is training for a distance race jogged for thirty minutes and covered a distance of 7.5 km. What is the average speed of the student?
Answer:
Average speed is 15km/hStep-by-step explanation:
Step one:
given data:
total distance =7.5km
time taken= 30 min= 0.5 hours
we know that the average speed is the average distance divided by time taken
Step two:
mathematically expressed as
speed=distance/time
substituting we have
speed=7.5/0.5
speed=15km/hour
Hence the average speed is 15km/h
A chair cost $250 last year and $175 this year by what percent did the price decrease?
Answer:
I believe it is 50% decreased, not sure
Step-by-step explanation:
Answer:
30%
Step-by-step explanation:
in order to find the percentage of the price decrease,we must find the difference between the prices
250-175=75
the price has dropped 75$
to find the percentage, we do 75/250
which can be simplified to 3/10 or 30%
We can check this by finding 30% of 250 which is 75
75=75
If you leave your house at 1:00 and get to your friends house at 5:00, what was your average speed
Which pair of lines are perpendicular?
A. x - y = 7 and y = x + 3
B. y = -4x + 1 and 8x + 2y = -10
C. y = -8 and y = 2
D. x = 4 and y = -1
Melody decided to purchase 1 point in order to lower her interest rate on her
$ 163,000 mortgage. How much additional money does she need to bring to
closing?
A. $3260
B. $4890
C. $6520
D. $1630
Answer:
D 1630
Step-by-step explanation:
what is 6 1/10 plus 5 4/5 ASAP please
Answer:
11 9/10
Step-by-step explanation:
6 + 5 = 11
1/10 + 4/5
1/10 + 8/10 = 9/10
11 + 9/10 = 11 9/10
HOPE THIS HELPS
PLZ MARK BRAINLIEST
Answer: Answer: The answer should be 11 9/10.
1 pol
2. *
2. Jerome bought 6 pounds of apples for $0.99 per pound. How
much did he pay for the apples?
A $6.99
B. $5.94
C. $5.01
D. $8.15
A
B
С
D
Answer:
B
Step-by-step explanation:
.99*6= 5.94
Answer:
B. 5.94
Step-by-step explanation:
According to the synthetic division below, which of the following statements are true?
Answer:
Options (A) and (D)
Step-by-step explanation:
We can write the given division as,
[tex]\frac{2x^2+6x-8}{x+5}=2x-4+\frac{12}{x+5}[/tex]
Option (A)
When (2x² + 6x - 8) is divided (x + 5), the remainder is 12.
True.
Option (B)
When (2x² + 6x - 8) is divided (x - 5), the remainder is 12.
False.
Option (C)
When x = 5,
2x² + 6x - 8 = 12
2(5)² + 6(5) - 8 = 50 + 30 - 8
= 72
False.
Option (D)
When x = -5,
2(-5)² + 6(-5) - 8 = 50 - 30 - 8
= 12
True.
Option (E)
(x - 5) is a factor of 2x² + 6x - 8
If (x - 5) is a factor value of 2x² + 6x - 8 should be zero.
False.
Option (F)
(x + 5) is a factor of 2x² + 6x - 8
If (x + 5) is a factor then by substituting x = -5 in the expression value should be zero.
But the value is 12.
False.
Which one of these words describe mirror image
A.Translation
B.Dialation
C.Reflection
D.Rotation
Reflection. A reflection is what appears to be the same distance from the other side of the mirror.
Q7. Average of 60 numbers are 55. When 10 more numbers are included, the average of
70 numbers become 75. Find the
average of 10 numbers.
Answer:
The average of the 10 numbers is 195
Step-by-step explanation:
The average of a set of numbers is the sum of the numbers dividing by their number
Average = The sum ÷ The number∵ The average of 60 numbers is 55
∴ The average = 55
∴ The number = 60
→ Substitute them in the rule above to find the sum of the numbers
∵ 55 = The sum ÷ 60
→ Multiply each side by 60
∴ 3300 = The sum
∴ The sum of the 60 numbers = 3300
∵ 10 more numbers are included
∵ The average of 70 numbers become 75
∴ The average = 75
∴ The number = 70
→ Substitute them in the rule above to find the sum of the numbers
∵ 75 = The sum ÷ 70
→ Multiply each side by 70
∴ 5250 = The sum
∴ The sum of the 70 numbers = 5250
∵ The sum of the 10 numbers that added is the difference between
the sums of the 60 and 70 numbers
∵ The difference between the sums = 5250 - 3300
∴ The difference between the sums = 1950
→ To find the average of them divide their sum by 10
∵ The average of the 10 numbers = 1950 ÷ 10
∴ The average of the 10 numbers = 195
Based on the data shown in the graph, how many hours will it take the shipping company to pack 180 boxes
Based on the data shown in the graph, how many hours will it take the shipping company to pack 180 boxes
Answer:
What graph
The time taken by the shipping company to pack 180 boxes is 15 hours.
What are the ratio and proportion?The ratio is the division of the two numbers.
Proportion is the relation of a variable with another. It could be direct or inverse.
The given graph is the direct relation and has a constant proportion as,
Book packed/hour = 60/5 = 12
With this constant of proportionality,
For 180 boxes,
180/hour = 12
Hour = 15
Hence "It takes the shipping business 15 hours to pack 180 cartons".
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Missing data shown below,
HELLPP. ITS URGENT.50 PTS
Please show working.
Question : If α and β are roots of the quadratic equation : 4x²-5x-1=0, find the quadratic equation whose roots are :
(See image for full question . No (IV) and (v))
Answer:
I replaced alpha by A and bitta by B. Sorry for this mistake
Answer:
4x² - 13x + 8 = 04x² - 11x + 5 = 016x² - 41x + 1 = 0x² + 5x + 4 = 0x² - 66x + 64 = 0Step-by-step explanation:
Given
α and β are roots of 4x²-5x-1=0Then the sum and product of the roots are:
α+b = -(-5)/4 = 5/4αβ = -1/4(i) Roots are α + 1 and β + 1, then we have:
(x - (α + 1))(x - (β + 1)) = 0(x - α - 1)(x - β - 1) = 0x² - (α+β+2)x + α+β+ αβ + 1 = 0x² - (5/4+2)x +5/4 - 1/4 + 1 = 0x² - 13/4x + 2= 04x² - 13x + 8 = 0(ii) Roots are 2 - α and 2 - β, then we have:
(x + α - 2)(x + β - 2) = 0x² + (a + β - 4)x - 2(α + β) + αβ + 4 = 0x² + (5/4 - 4)x - 2(5/4) - 1/4 + 4 = 0x² - 11/4x - 10/4 - 1/4 + 16/4 = 0x² - 11/4x + 5/4x = 04x² - 11x + 5 = 0(iii) Roots are α² and β², then:
(x - α²)(x-β²) = 0x² -(α²+β²)x + (αβ)² = 0x² - ((α+β)² - 2αβ)x + (-1/4)² = 0x² - ((5/4)² -2(-1/4))x + 1/16 = 0x² - ( 25/16 + 1/2)x + 1/16 = 0x² - 33/16x + 1/16 = 016x² - 33x + 1 = 0(iv) Roots are 1/α and 1/β, then:
(x - 1/α)(x - 1/β) = 0x² - (1/α+1/β)x + 1/αβ = 0x² - ((α+β)/αβ)x + 1/αβ = 0x² - (5/4)/(-1/4)x - 1/(-1/4) = 0x² + 5x + 4 = 0(v) Roots are 2/α² and 2/β², then:
(x - 2/α²)(x - 2/β²) = 0x² - (2/α² + 2/β²)x + 4/(αβ)² = 0x² - 2((α+β)² - 2αβ)/(αβ)²)x + 4/(αβ)² = 0x² - 2((5/4)² - 2(-1/4))/(-1/4)²x + 4/(-1/4)² = 0x² - 2(25/16 + 8/16)/(1/16)x + 4(16) = 0x² - 2(33)x + 64 = 0x² - 66x + 64 = 0Plz quick can some one help me with these two questions also plz show working out
CAN SOMEBODY HELP ME WITH THIS?????? I WILL MARK BRAINLIEST
CAN SOMEBODY HELP ME WITH THIS?????? I WILL MARK BRAINLIEST
Answer:
2/7 or about 29%
Step-by-step explanation:
2 are blue and there are 7 cards total so 2/7 and 2 divided by 7 is .2857 or .29 (29%).
Answer:
2/7
Step-by-step explanation:
There are 7 envelopes and 2 blue envelopes so the probability that the envelope will be blue is 2/7
Helps me solve this problem please
Answer:
(1,1) and (-2,-11) are the correct solutions
Answer:
D. (1, 1) and (-2, -11)
Step-by-step explanation:
A's answers:
Coordinates: (0, -3) and (-1, -1)
Equations when they get solved:
4(0)-3=-3 (correct)
4(-1)-3=-1 (incorrect)
B's answers:
Coordinates: (-2, -5) and (2, 5)
Equations when they get solved:
4(-2)-3=-11 (incorrect)
4(2)-3=5 (correct)
C's answers:
Coordinates: (0, 3) and (3, 9)
Equations when they get solved:
4(0)-3=-3 (incorrect)
4(3)-3=9 (correct)
D's answers:
Coordinates: (1, 1) and (-2, -11)
Equations when they get solved:
4(1)-3=1 (correct)
4(-2)-3=-11 (correct)
8^1/3 dived by 5^-2
Please help
Answer:
50
Step-by-step explanation:
(8^1/3) /(5^-2)
(2)/(0.04)
50
I NEED HELP PLEASE I WILL MARK!!!!
Answer:
_3/4/_2/3 the first one i hope u will mark me brai list
What type of correlation is the graph below?
a
no correlation
b
quadratic correlation
c
negative
d
positive
Add 19 to ‘a’ and divide the sum by 5, you will get 8
Answer:
a = 21
Step-by-step explanation:
Given
[tex]\frac{a+19}{5}[/tex] = 8 ( multiply both sides by 5 to clear the fraction )
a + 19 = 40 ( subtract 19 from both sides )
a = 21
A ——————-turns a figure about a point.
O Translation
O Rotation
O Reflection
Answer:
Rotation
Step-by-step explanation:
keyword: Turn!
Answer:
Rotation
Step-by-step explanation:
A rotation is a transformation that turns a figure about (around) a point or a line. The point a figure turns around is called the center of rotation. Basically, rotation means to spin a shape. The center of rotation can be on or outside the shape.
The equation y=1.35x+10 models the cost of a cab ride, where y is the total cost of the ride in dollars and x is the number of miles driven. Which statement describes this model?
A. Customers pay $1.35 per-mile for the first x miles, and then $10 per mile afterwards.
B. Customers pay 10$ per-mile, and then $1.35 per mile afterwards
C. Customers pay $1.35 initially, and then another $10 for every mile traveled.
D. Customers pay $10 initially, and then another $1.35 for every mile travled
Answer:
C.
Step-by-step explanation:
X is the number miles driven so C. is the BEST answer choice.
Answer:
Its C
Step-by-step explanation:
A ski lodge sells 50additional ski passes for every 34inch of snow that falls overnight.Which equation describes the relationship between p, the number of ski passes sold, and s, the inches of snowfall?
Answer:
34in. of snow = +50 snow passes
+34in. of snow = +50 snow passes
Step-by-step explanation:
Find the number,if 1/5 of it is 15
Answer:
The number is 75
Step-by-step explanation:
Let x be the unknown number
of means multiply and is means =
1/5 x = 15
Multiply each side by 5
5 * 1/5 x = 5*15
x = 75
Answer:
75
Step-by-step explanation:
PLZZZZZZZZ HELP WILL MARK YOU
PLZZZZZZZZZZZ
The table below shows the amounts of lime juice and sugar used in each container of limeade. The ratio of lime juice to sugar is 1:r, where r is the unit rate. Use the table to determine r.
Lime Juice Sugar
one-fifth cup 1 cup
2 cup 10 cup
3 cup 15 cup
ANSWERS
one-fifth
4
two-thirds
5
Answer:
5
Step-by-step explanation:
For every one cup of lime juice, there is 5 cups of sugar.
Answer:
i think its one-fifth
Step-by-step explanation:
i hope my math is right
Prisha rolls a fair number cube multiple times and records the result of each roll. Her results are shown in the table. Number Cube Number Observed Frequency 1 18 2 16 3 24 4 26 5 16 6 20 How does the experimental probability of rolling a 3 compare with the theoretical probability of rolling a 3?
Answer:
A
Step-by-step explanation:
I just took this on edge