Answers
Answer:
{5, -3} {0, -1/3}
Step-by-step explanation:
For the first problem, they all have a GCF of 2, so you divide it all by 2 to get x^2-2x-15=0. Now, we need two factors of -15 that equal -2. Those are -5 and 3. Our new equation is x^2-5x+3x-15. To factor, the GCF of x^2 and 5x is x, so divide by x and you get x(x-5). The GCF of 3x and 15 is 3, so divide by 3 and you get 3(x-5). Now, put the numbers outside of the parenthesis into their own, and you get (x+3)(x-5). To get to 0, for the first one x has to be -3, and for the second, x has to be 5.
For the second, 12x^2 and 4x have a GCF of 4x. Since this we don't have a c value, we just divide and factor like this: 4x(3x+1). Since 4x is outside the parenthesis but we don't have any other terms outside, x=0 because 4(0) is 0. To cancel out 1, our x value inside has to be -1/3, because -1/3*3=-1.
Hope this helped!
Related Questions
I think i needs i lil help
Answers
the last one is- 5/6 0.8333 %0.8333
3/5 0.6 %0.6
1/5 0.2 %0.2
1/4 0.25 %0.25
Hope this helps you!! :)
Please help I’ve been stuck in this for 5 minutes
Answers
Answer:
C.A 140° angle
please mark me brainliest
A coffee tumbler like the one below is 7 in. tall and has a diameter of 3
in.
When filling the tumbler, you need
to leave 0.5 in. to fit the lid on top.
How much coffee can you fit in
the tumbler?
Show your
equation, work, and final answer
Use 3.14 for Pi.
Answers
Volume is a three-dimensional scalar quantity. The amount of coffee that can be put in the tumbler is 11.486 in³.
What is volume?A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.
Given the diameter of the coffee, the tumbler is 3inches, while the height is 7 inches, also, 0.5 inches is needed to be left to fit the lid on the top. Therefore, the height of the tumbler will be 6.5 inches (7-0.5).
Now, the volume of the coffee tumbler will be,
The volume of the coffee tumbler = (π/4)×D²×h
= (π/4)×(1.5)²×6.5
= 11.486 in³
Hence, the amount of coffee that can be put in the tumbler is 11.486 in³.
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Quadrilateral ABCD is similiar to quadrilateral EFGH. The lengths of the three longest sides in quadrilateral ABCD are 60 feet, 40 feet, and 30 feet long. If the two shortest sides of quadrilateral EFGH are 6 feet long and 12 feet long, how long is the 2nd longest side on quadrilateral EFGH?
A. 24 feet
B. 20 feet
C. 16 feet
D. 18 feet
Answers
Answer:
C) y = 16 feet
Step-by-step explanation:
the corresponding sides in ABCD are equal to their corresponding sides by EFGH multiplied by something
all values are in feet
let x represent the unknown side in ABCD
ABCD lengths in order: x, 30 , 40 , 60
let a and b represent the unknown sides in EFGH
EFGH lengths in order: 6, 12, a, b
thus, 30 corresponds to 12 as they are both the second shortest sides
corresponding side in EFGH * something = corresponding side in ABCD
12 * something = 30
let something be r
12 * r = 30
divide both sides by 12 to isolate r
r = 30/12
thus, to get a side in ABCD, we multiply the corresponding side in EFGH by 30/12
we want to find the second longest side in EFGH. the corresponding side to that in ABCD is 40, as 40 is the second longest side in ABCD
let the second longest side in EFGH = y
y * 30/12 = 40
multiply both sides by 12/30 to isolate y
40 * 12 / 30 = y = 16
y = 16 feet
The Pythagorean Theorem can be used to find the missing side length of a triangle when two other side lengths are known.
Consider the following measurements.
A=20
B=?
C=29
Use the formula c=√a^2+b^2 a modified version of the Pythagorean Theorem, to find the missing side length, b.
What is the value of b?
(NOT C)
A. 21
B. 35.2
C. 441 XXX
D. 840.8
Answers
Answer:
The value of b is 21
Step-by-step explanation:
29=√20^2+b^2
or, 29=√400+b^2
or, 841=400+b^2
or, 841-400=b^2
or, √441=b
b=21
Write down the pair of integers whose difference is -6
Answers
Answer:
Step-by-step explanation:
10 - 16 = -6
15 - 21 = -6
A rectangle measures 2
3
4
inches by 2
1
4
inches. What is its area?
Answers
Answer:
50,076 square inches
Step-by-step explanation:
8. What is the distance around the clock?
1 point
12
11
10
2
-9
8
4
N
5
11 in
O 11 in
O 5.5 in
03.14(11)
O 3.14(5.5)^2
Answers
Answer:
The clock face is divided into sixty equal parts, each minute. The minute hand is located on the 20 minute mark at 6:20, the hour hand located between the 30 minute mark and the 35 minute mark. When the minute hand goes all sixty minutes, the hour hand only moves five, so to figure out the location of the hour hand, we look at how much the hour has progressed, in this case 20 minutes, or one third of the hour. So the minute hand has moved one third of the way through the hour, so has the hour hand moved one third of the way through the five minutes, or, five thirds of a minute, which is one and two thirds minute, one minute forty seconds. That puts the hour hand at thirty minutes plus one minute and forty seconds—at 31min 40sec—which is 11min 40sec farther than the minute hand.
Step-by-step explanation:
GUYS PLEASE HELP ME ASAP I REALLY NEED HELP FOR THIS QUESTION, THANKS!!!
THE QUESTION: When 30 is added to a number k and the resulting number is multiplied by k, a prime number is obtained. Find the prime number.
Answers
Answer:
30k + k²
Explanation:
First Step:
30 is added to k means : 30 + k
Second Step:
Resulting number multiplied by k means : (30 + k) × k
Results:
30k + k² ___prime number.
help with practice problem
Answers
Answer:
y = 2x - 6
Step-by-step explanation:
For parallel lines, the mx (the slope) stays the same but the y-int changes.
Can someone help me with this question?
Answers
option B and option D
hope it helps...!!!
Nerys checks her tax bill from last year
the tax rates were as follows:
•No tax on the first £11,000 of earnings
•Earnings in excess of £11,000 and up to £43,000 taxed at a rate of 20%
•Earnings in excess of £43,000 and up to £ 150,000 taxed at a rate of 40%
•Earnings over £150,000 taxed at a rate of 45%
Last year Nerys earned £162,700 before tax.
how much tax did she pay in total?
Answers
Answer:
£54,915
Step-by-step explanation:
The tax table is applied as follows:
first 11,000 -- no tax
11,000 to 43,000 -- tax is 0.20 × (43,000 -11,000) = 6,400
43,000 to 150,000 -- tax is 0.40 × (150,000 -43,000) = 42,800
150,000 to 162,700 -- tax is 0.45 × (162,700 -150,000) = 5,715
Then the total tax on earnings of £162,700 is ...
£6,400 +42,800 +5,715 = £54,915
Nerys paid a tax of £54,915.
_____
Additional comment
The tax computation could be simplified to ...
f(x) = max(0, 0.2x -2200, 0.4x -10800, 0.45x -18300)
In this instance, the value 0.45x -18300 is the highest, at £54,915. Not all the computations are required if you realize the lines cross at x = 11,000, 43,000, and 150,000.
Can someone help quick?I don't fully get how to do this. Find the measure of the following arcs or angles. There are two images.
Answers
Answer:
AE is 77
AB is 65
CPD is 77
BPE is 142
ADC is 257
ACD is 180
Step-by-step explanation:
line CE and AD are splitting the circle in half
A spinner is divided into four sections, not equally sized, of four colors. Ra
below.
Color Frequency
Red 46
Blue 64
Yellow 52
Green 38
What is the experimental probability of the spinner stopping on green?
Answers
It seems that every carton of eggs at the supermarket contains at
least one broken egg. If, in fact, it has been determined that
3 percent of the eggs supplied to a supermarket are cracked,
what is the probability that if you buy two dozen eggs none of
your eggs will be cracked?
Answers
The probability that if you buy two dozen eggs, none of your eggs will be cracked is 94.09% if the 3 percent of the eggs supplied to a supermarket are cracked.
What is probability?It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.
We have:
3 percent of the eggs supplied to a supermarket are cracked.
The probability that no eggs are cracked = 1 - 0.03 = 0.97
The probability that if you buy two dozen eggs, none of your eggs will be cracked:
= 0.97×0.97
= 0.9409
= 94.09%
Thus, the probability that if you buy two dozen eggs, none of your eggs will be cracked is 94.09% if the 3 percent of the eggs supplied to a supermarket are cracked.
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Which table represents a linear function?
Please hurry I have to finish this soon!
Answers
Answer:
C
Step-by-step explanation:
A linear function is the repeating of the same word. Therefore, C would be the correct option. Due to the order 3 9 3 9, this is a linear function. This is just the most logical answer. Please let me know if I am wrong. Sorry if I am :(
In trapezoid PQRS, if segment XY is the midsegment, which could be the lengths PQ and SR? Select all that apply.
17 cm and 31 cm
18 m and 30 m
4 cm and 8 cm
9 cm and 15 cm
12 cm and 36 cm
18 cm and 30 cm
please explain how you get the answer :)
Answers
Answer:
17 cm and 31 cm
12 cm and 36 cm
18 cm and 30 cm
Step-by-step explanation:
The midsegment of a trapezoid is equal to the average of the two bases. When taking an average of two numbers, you add them and divide by 2. So the equation will be as follows:
[tex]\frac{PQ + SR}{2} = XY[/tex]
XY is given to be 24, so:
[tex]\frac{PQ + SR}{2} = 24[/tex]
Multiplying on both sides gets us:
[tex]PQ + SR = 48[/tex]
So any values of PQ and SR that add to 48 work. Therefore, we will sum the given options:
17 cm + 31 cm = 48 cm
18 m + 30 m = 48m (Did you mean meters?)
4 cm + 8 cm = 12cm
9 cm + 15 cm = 24cm
12 cm + 36 cm = 48cm
18 cm + 30 cm = 48 cm
3+6log9(-b+ 7) = −9
Solve for B
Answers
Answer:
b=566/81
Step-by-step explanation:
b=566/81
The total spent on a $32.50 pair of shoes with 6% tax.
Answers
1. change the % to a decimal: 6% = 0.06
2. multiply the decimal by the original cost to find the tax: $32 * 0.06 = $1.92
3 add the original value and the tax to find the cost after tax: 32 + 1.92 = $33.92
Convert the following equation
into standard form.
y = 2x
Answers
Answer: 2x-y=0
Step-by-step explanation:
y=2x
-2x -2x
-1(-2x+y=0)
2x-y=0
please help!!!!!!!!!!
Answers
Answer: which one ? ill edit this w/ the answer
Step-by-step explan
10 to the negative fourth power
Answers
Answer:
[tex]10^{-4} = 0.0001[/tex]
Step-by-step explanation:
Negative exponents make the base a reciprocal:
[tex]x^{-1} = \frac{1}{x}\\x^2 = \frac{1}{x^2}\\[/tex]
Therefore, we can rewrite [tex]10^{-4}[/tex] as:
[tex]10^{-4} = \frac{1}{10^4} = \frac{1}{10000} = 0.0001[/tex]
10^-4 = 0.0001
1 x 10^-4 = 10^-4
It's a negative power - so you divide the 1 by 10000 - to get 0.0001.
Same as 1/10000
Hope this helps!
According to the rational root theorem, which function has the same set of potential rational roots as the function g(x) = 3x5 – 2x4 9x3 – x2 12? f(x) = 3x5 – 2x4 – 9x3 x2 – 12 f(x) = 3x6 – 2x5 9x4 – x3 12x f(x) = 12x5 – 2x4 9x3 – x2 3 f(x) = 12x5 – 8x4 36x3 – 4x2 48
Answers
According to the rational root theorem, the function that has the same set of potential rational roots is f(x) = 3x^5 – 2x^4 – 9x^3 + x^2 – 12.
Calculations and Parameters:Given the function:
g(x) = 3x^5 – 2x^4 + 9x^3 – x^2 + 12
We would have to find the rational roots and this would be done by:
Identifying the factors of 12 and 3.
After this, there would have to be an analysis of the factors and we can see that the correct answer is f(x) = 3x^5 – 2x^4 – 9x^3 + x^2 – 12.
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Darrell’s restaurant bill is $89.75. If Darrell leaves an 18% tip, how much tip does the server receive?
A:1.62 cents
B:16 dollars and 16 cents
C:73.59 dollars
D:109.51 dollars
Answers
Answer:
[B] 16 dollars and 16 cents
Step-by-step explanation:
Given:
Darrell’s restaurant bill is $89.75. If Darrell leaves an 18% tip, how much tip does the server receive?
A:1.62 cents
B:16 dollars and 16 cents
C:73.59 dollars
D:109.51 dollars
Solve:
$89.75 × 18% = 16.155 ≈ 16.16
Kavinsky
Answer: B. 16 dollars and 16 cents
Step-by-step explanation:
89.75 * .18 = $16.155
What is the unknown fraction?
four tenths plus blank equals seventy three hundredths
seventy seven hundredths
one hundred forty six hundredths
thirty three hundredths
sixty nine hundredths
Answers
Answer:
thirty three hundredths
Step-by-step explanation:
4/10 + ? = 73/100
4/10 is the same as 40/100
73-40=33
33/100
The path of a launched projectile contains the vertex (5, 120) and the point (25, 80) on the boundary. If all the experiments that followed met or exceeded this path, which quadratic inequality in standard form contains the points in the later experiments?
Answers
The equation for the path of a launched projectile contains the vertex (5, 120) and the point (25, 80) on the boundary is shown in the graph.
What is a parabola?It is defined as the graph of a quadratic function that has something bowl-shaped.
The path of the launched projectile will a parabola.
We have the vertex of the parabola (5, 120)
The standard equation in terms of vertex (h, k)
[tex]\rm y = a(x-h)^2+k[/tex]
Plug the points:
[tex]\rm y = a(x-5)^2+120[/tex]
To find the value of “a” plug point (25, 80)
[tex]\rm 80 = a(25-5)^2+120[/tex]
a = -1/10
Plug this into the equation;
The path of the equation:
[tex]\rm y = \dfrac{-1}{10}(x-5)^2+120[/tex]
Thus, the equation for the path of a launched projectile contains the vertex (5, 120) and the point (25, 80) on the boundary is shown in the graph.
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PLEASE HELP!! need this test done. the solution set of |R-3|=10 is
Answers
Answer:
[tex]\{-7,13\}[/tex]
Step-by-step explanation:
[tex]~~~~~~|R-3| = 10\\\\\implies R -3 = 10~~~~~~ \text{or}~~~~~~~R -3 = -10\\\\\implies R = 10+3~~~~~~\text{or}~~~~~~~R = -10+3\\\\\implies R = 13~~~~~~~~~~~ \text{or}~~~~~~~R = -7\\\\\text{Solution set:} ~\{-7,13\}[/tex]
Answer: Heyaa! ~
Your Answer is... (-7, 13) Which is C.
Step-by-step explanation:
Factor then solve to find the complex solutions.
Remove the absolute value term. This creates a ±
on the right side of the equation because |x|=±x.
R−3=±10
The complete solution is the result of both the positive and negative portions of the solution.
R= -7, 13
Hopefully this helps you! ~
4. Can the following list represent a complete probability model?
P(2) = 1/12
P(3) = 2/3
P(4) = 1/4
Answers
Answer:
Yes
Step-by-step explanation:
A complete probability model should sum up the probability to 1
by adding them up, you will find the sum as 1/12 + 8/12 + 3/12 = 12/12
So, they can be a complete probability model with 3 outcomes "2", "3" & "4"
The table displays the number and type of tickets bought for a play that was performed in both the afternoon and evening. Apply the addition rule to find “a child ticket is bought for a play” and “the play is performed in the afternoon.”
A) 48/363
B) 175/363
C) 163/363
D) 36/363
Answers
The probability that “a child ticket is bought for a play” and “the play is performed in the afternoon" is 36/363.
What is the probability?Probability is the likelihood that a stated event would occur. The probability that the event would happen lies between 0 and 1.
The probability that “a child ticket is bought for a play” and “the play is performed in the afternoon" = 36 / total number of tickets bought
36 / (36 + 12 + 127 + 188) = 36 / 363
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Use fundamental identities to find the values of the trigonometric functions for the given conditions. tan = − 15/8 and sin > 0
sin =
cos =
tan =
csc =
sec =
cot =
Answers
Step-by-step explanation:
sin = 15/17
cos = -8/17
tan = -15/8
csc = 17/15
sec = -17/8
cot = -8/15
