Answer:
19
Step-by-step explanation:
Given the following roots x = 2, -3, 4. Write a polynomial function p(x)
Answer:
[tex]x^3-3x^2-10x+24[/tex]
Step-by-step explanation:
The first thing that you have to do is take the roots that you're given and write binomial products.
[tex]x= 2, -3, 4[/tex]
[tex](x-2)(x+3)(x-4)[/tex]
Remember that a root is the value of "x" in a binomial expression, so the binomial expression itself will have the opposite sign of the root.
The next thing you have to do is multiply the roots together. A good way to do this is the "box method."
(See attachment below for the multiplication of [tex](x-2)[/tex] and [tex]x+3[/tex]. )
Next, multiply your new trinomial by your remaining binomial. (See additional attachment below for the multiplication of [tex](x^2+x-6)[/tex] and [tex](x-4)[/tex])
The resulting polynomial is [tex]x^3-3x^2-10x+24[/tex].
Tamara bought yarn for $39 and 2 pairs of knitting needles. Her total cost for the yarn and knitting needles was $69. Tamara writes an equation that represents the cost of each pair of knitting needles. If k represents the cost of each pair of knitting needles, which statements about verifying the value of k are true? Check all that apply.
Tamara should substitute k = 30 into the equation 39 + 2 k = 69.
After she substitutes the correct value for k into the equation, Tamara should find that the left side of the equation is equal to the right side.
Tamara should substitute k = 15 into the equation 39 + 2 k = 69.
After she substitutes the correct value for k into the equation, Tamara should find that the left side of the equation is not equal to the right side.
To verify the solution to the equation, Tamara multiplies the solution by 2 and then adds it to 39. Then, she checks that it is equal to 69.
To verify the solution to the equation, Tamara adds the solution to 2 and then adds it to 69. Then, she checks that it is equal to 39.
Answer: 1,3,5
Step-by-step explanation:
Just took the quiz
Answer:
2,3,5
Step-by-step explanation: i got it right on my test
i hope this helps sorry if it didn't
Help ASAP please please plsssssssssssss
Answer: 11 1/3 (eleven and one third)
Step-by-step explanation:
Which one?
A. B. C. Or D?
Answer:
A
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
[tex]6a^{2} - 24 = 0\\6a^{2} - 24 + 24 = 0 + 24 \\6a^{2} = 24\\\frac{6a^{2}}{6} = \frac{24}{6} \\a^2 = 4\\a = \sqrt{4} \\a = +2, -2[/tex]
Sales tax is calculated as a percentage of the sales price. If sales tax is 7%, what is the sales tax on clothing that costs $150?
Answer:
$160.50
Step-by-step explanation:
You multiply $150 by .15 to find out what 15% of it (10.50)
You add the values to get $160.50
10.5 is the sales tax on clothing that costs $150
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
Given that Sales tax is calculated as a percentage of the sales price.
sales tax is 7%
We need to find the the sales tax on clothing that costs $150
Convert 7% to the decimal value by dividing with 100.
7/100=0.07
Now multiply 0.07 with 150
0.07×150
Zero point zero seven times of one hundred and fifty.
10.5
Hence, 10.5 is the sales tax on clothing that costs $150
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$30 for 2 1/2 hours of work
Answer:
$75
Step-by-step explanation:
30*2.5 = 75
What is an equation of the line that passes through the points (6,4) and (4,1)
First, you find the slope.
This is done by plugging in to the equation y2 - y1 / x2 - x1
Let 6 and 4 by x2 and y2 and 4 and 1 be x1 and y1.
4-1 / 6-4 = 3/2
The slope is 3/2.
Now, y = 3/2 x +b
To solve for b, plug in a point.
I plugged in (6, 4)
4 = 3/2(6) + b
4 = 9 + b
-5 = b
So, the equation is y = 3/2 x - 5
Hope this helps
[tex]y = \frac{3}{2} x - 5[/tex]
Chips are $1.49 a bag. They are 27% off. What is the new price?
A. $1.09
B. $3.20
C. $87.25
Answer:
A
Step-by-step explanation:
you do 1.49 x 0.79 to find the remaining amount after the discount and it is 1.09
How do I factor
x ^5−x^ 4+3x−3
After completing the fraction division 8 divided by StartFraction 1 Over 6 EndFraction, Patel used the multiplication below to check his work. StartFraction 1 Over 48 EndFraction times 6 = StartFraction 1 Over 48 EndFraction times StartFraction 6 Over 1 EndFraction = StartFraction 6 Over 48 EndFraction = StartFraction 1 Over 8 EndFraction Which is the most accurate description of Patel's work? Patel found the correct quotient and checked his work using multiplication correctly. Patel found the correct quotient but checked his work using multiplication incorrectly. Patel found an incorrect quotient but checked his work using multiplication correctly. Patel found an incorrect quotient and checked his work using multiplication incorrectly.
Answer:
Patel found an incorrect quotient and checked his work using multiplication incorrectly.
Step-by-step explanation:
After completing the fraction division 8 divided by StartFraction 1 Over 6 EndFraction, Patel used the multiplication below to check his work.
Correct calculation
8 ÷ 1/6
= 8 × 6/1
= 48
Check:
1/6 * 48
= 48 / 6
= 8
Patel's calculation
1/48 * 6
= 1/48 * 6/1
= 6/48
= 1/8
Patel found an incorrect quotient and checked his work using multiplication incorrectly.
Answer:
D on edge
Step-by-step explanation:
have a great day :)
hope this helps :)
how long will it take you to drive 135 miles at a speed of 45 miles per hour?
Answer:
3 hours
Step-by-step explanation:
divide 135 by 45 to get your answer
The surface temperature ranges from -2°C to 31°C. Find the difference between the max and min temperatures.
Answer:
33
Step-by-step explanation:
Answer:
29c
Step-by-step explanation:
what is an equation equivaent to x=-2
x-2=0 answer
Step-by-step explanation:
x=-2 move constant to the left by adding its opposite to both sides
x+2=2-2 the sum of two opposites equals 0
x-2=0
ANSWER X-2=0
I NEED HELP PLEASE!!!!!!!
1) How long is it from 9:15 am to 4:48 pm? h
2) Find the value of 4n if n=7
3) Solve the equation 3y=21
4) Change the index notation of a⁴ to its factors
ASAP HELP ASAP HELPPPP
Answer:
3 or 2 is the answer to the question
BRAINLIST!!!!!!!!!
which one is a function???
Answer: C
i hope this helps
Simplify: –3(y + 2)2 – 5 + 6y
What is the simplified product in standard form?
Answer:
-17
Step-by-step explanation:
[tex] - 3{(y + 2)}^{2} - 5 + 6y \\ - 3(y + 2)(y + 2) - 5 + 6y \\ ( - 3y - 6)(y + 2) - 5 + 6y \\ - 3 {y}^{2} - 6y - 6y - 12 - 5 + 6y \\ - 3 {y}^{2} - 12y - 12 - 5 + 6y \\ - 3 {y}^{2} - 12y + 6y - 12 - 5 \\ - 3 {y}^{2} - 6y - 17[/tex]
Answer[tex]-3y^{2}-6y-17[/tex]
Solve the power equation
x to the 1/2 power + 3=5
Answer:
x = 4
Step-by-step explanation:
Solve for x by simplifying both sides of the equation, then isolating the variable.
number 3 pls!!! I need help with figuring it out
Answer:
C. Angle MNP
Step-by-step explanation:
Check the corresponding equal sides with congruent angles
Answer: Third choice. [tex]\angle MNP[/tex]
=======================================================
Explanation:
We want to find something congruent to angle ABC.
With angle ABC, we have
A firstB secondC thirdThe order is important.
Looking at the triangle on the right, we see that
angle A has three arc marksangle B has one arc markangle C has two arc marksThe sequence of arc markings can be written as 3,1,2
Now focus your attention on the triangle on the left. Start with the triple arc angle, move to the single arc angle, then go to the double arc angle. You should trace out M, N then P in that exact order.
Therefore [tex]\angle ABC \cong \angle MNP[/tex]
Note how M is first, N is second, then P is third.
This lets us form these pairs of congruences
A = M (first letters; triple arc marking)B = N (second letters; single arc marking)C = P (third letters; double arc marking)Can some one PLEASE answer these for me? (I’ll also mark you brainliest!)
Answer:
0.83
Step-by-step explanation:
Answer:
0.83 A
Step-by-step explanation:
Given f(x)=3x2+7 and g(x)=5x-4 solve f(5) btw in the problem the 2 is on top of the X
Answer:
f(5) = 82
Step-by-step explanation:
To evaluate f(5) substitute x = 5 into f(x) , that is
f(5) = 3(5)² + 7 = 3(25) + 7 = 75 + 7 = 82
a single digit times a power of 10 to estimate the number 0.00007216
Rewrite the expression using the distributive property: 3(2r + 2)
Answer:
3(2r+2) = 6r + 6
Step-by-step explanation:
Three times to is six just add the ''r'' to the six and you have six ''r'' then youdo three times two which is six
slope line in simplest form
Answer:
y=-2/3x
I think that's the simplest form
At a fabric store, fabrics are sold by the yard. A dressmaker spent $36.35 on 4.25 yards of silk and cotton fabrics for a dress. Silk is $16.90 per yard and cotton is $4 per yard. Here is a system of equations that represent the constraints in the situation. x + y = 4.25 16.90x + 4y = 36.35 Find the solutions to the system of equations. Explain or show your reasoning
Given:
The system of equations that represent the constraints for the given situation is
[tex]x+y=4.25[/tex]
[tex]16.90x+4y=36.35[/tex]
To find:
The solution of given system of equations.
Solution:
We have,
[tex]x+y=4.25[/tex] ...(i)
[tex]16.90x+4y=36.35[/tex] ...(ii)
Multiply equation (i) by 4.
[tex]4x+4y=17[/tex] ...(iii)
Subtracting (iii) from (ii), we get
[tex]16.90x+4y-(4x+4y)=36.35-17[/tex]
[tex]16.90x+4y-4x-4y=19.35[/tex]
[tex]12.90x=19.35[/tex]
Divide both sides by 12.90.
[tex]x=\dfrac{19.35}{12.90}[/tex]
[tex]x=1.5[/tex]
Put this value in (i).
[tex]1.5+y=4.25[/tex]
[tex]y=4.25-1.5[/tex]
[tex]y=2.75[/tex]
The solution of system of equations is x=1.5 and y=2.75. It means, the yards of silk are 1.5 and yards of cotton are 2.75.
What is the volume of the cylinder below
Answer:
I think d or b
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
A newborn baby has about 26,000,000,000 cells. An adult has about 1.9 X 10^3 times as many cells as a newborn. About how many cells does an adult have? Write your answer in scientific notation.
Answer:
1900
Step-by-step explanation:
26,000,000,000 cells = 2.6 x 10^10 (baby cells)
An adult has about 4.94 times 10 to the thirteenth power
(4.94 x 10^13)/(2.6 x 10^10) = 1.9 x 10^3 = 1900
8+9 divided by 3 in algebraic expression
Answer:
(8 + 9) ÷ 3 = x
Step-by-step explanation:
You first need to add 8+9, so you put them in parenthesis for PEMDAS
Then you divide them by 3
Finally, you make the answer a variable as an algebraic expression involves variables and the answer is not given
decimal equivalent 9 1/3
The decimal equivalent to 9 1/3 is
SBS: step multiply whole number 1:9 x 3=27 step add product 2: 27+1=28 step 3 divide: 28 ÷ 3= 9.333333
Final answer in decimal form: 9.33
Therefore, the answer is C
The equivalent from of [tex]9\frac{1}{3}[/tex] ⇒ 9.
The given mixed fraction is,
[tex]9\frac{1}{3}[/tex]
Now to convert it into decimal form
First of all convert it into simple fraction
So numerator of [tex]9\frac{1}{3}[/tex] is formed by multiplying 3 with 9 then add 1
and denominator remains same as 3
Therefore,
Simple fraction be
[tex]9\frac{1}{3}[/tex] ⇒ (9x3 + 1)/3
= 28/3
Now divide 28 by 3
we get,
9.333333
Here,
It is non terminating number
And 3 is repeating after decimal
therefore,
The decimal form of [tex]9\frac{1}{3}[/tex] ⇒ 9.[tex]\frac{}{3}[/tex]
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Diana is buying plates and cups for a party. She wants the same number of each. Plates are sold in packs of eight and cups are sold in packs of 12. What is the least number of plates and cups she can buy? How many packs of plates? How many packs of cups? Explain how you know.
Answer:
The least number of plates and cups she can buy is 24
She will buy 3 packs of plates
She will buy 2 packs of cup
Step-by-step explanation:
Plates = 8 per pack
Cups = 12 per pack
Find the Lowest common multiple of 8 and 12
8 = 16, 24, 32, 40, 48, 56, 64, 72, 80
12 = 24, 36, 48, 60, 72
What is the least number of plates and cups she can buy?
The Lowest common multiple of 8 and 12 is 24
The least number of plates and cups she can buy is 24
How many packs of plates?
Packs of plates = 24 plates / 8 per pack
= 3 packs
She will buy 3 packs of plates
How many packs of cups?
Packs of cups = 24 / 12 per pack
= 2 packs
She will buy 2 packs of cup