Answer:
[tex]\frac{x^3 + x^2 -20x + 24}{x-3} = x^2 +4x-8[/tex]
Step-by-step explanation:
Given;
p(x) = x³ + x²- 20x + 24
factor of p(x) = x-3
Apply long division method;
x² + 4x - 8
------------------------------
x - 3 √ x³ + x²- 20x + 24
-( x³ - 3x²)
-------------------------------
4x² - 20x + 24
-(4x² -12x )
-------------------------------
-8x + 24
- (-8x + 24)
-----------------------------------------
0
[tex]thus, \ \frac{x^3 + x^2 -20x + 24}{x-3} = x^2 +4x-8[/tex]
help me on a multiple choice question, please! correct answer gets brainliest!
consider the following function. y = 18 (1.06)[tex]x^{t}[/tex]
which scenario could represent this function?
- John has 18 pairs of shoes and his amount of shoes increases by 0.6% each year
- John has 18 pairs of shoes and his amount of shoes increases by 6% each year
- John has 18 pairs of shoes and his amount of shoes increases by 1.06% each year
- John has 18 pairs of shoes and his amount of shoes increases by 60% each year
Answer:
its c
Step-by-step explanation:
Anyone, PLEASE answer me all the questions with their answers because I have final board exams, so please answer. I will mark Branliest.
Answer:
Ok! I will keep a look out on your account and only answer when im sure that I know the answer! :D
Step-by-step explanation:
PLEASE HURRY THIS IS TIMED
Answer:
Plot a point on (0,1). Then count upwards by 9, and over to the right by 1. Then you're done!
Step-by-step explanation:
Hope this helps! <3
Evaluate the expression b2- 15 if b=9
Answer:
3
Step-by-step explanation:
just plug in 9 to b
9x2=18 18-15=3
i need help can so one help me please do not answer it if you don't know the answer.
Simplify the expression:
5(7 − 4n) =
Answer:
35 - 20n
Step-by-step explanation:
Use destributive property.
5 * 7 = 35
5 * 4n = 20n
35 - 20n
A bicycle wheel has a circumference of 38 inches . What is the approximate length of the radius of the wheel
Help me please, I really need it!!
Answer:
n=2
Step-by-step explanation:
5n+4/2 = 7
5n+4=14
5n=10
n=2
:)
What is 0.4 in a fraction?
What is 0.64 in a fraction?
What is 2.75 in a fraction?
Pls I need it now and pls SHOW YOUR WORK
Answer:
2/5, 16/25, and 11/4
Step-by-step explanation:
40/100 to 4/10 to 2/5
64/100 to 32/50 to 16/25
275/100 (by 25) to 11/4
Question 1
1 pts
If the shortest side of a right triangle is 8, what are the two other sides that form a triple.
Answer:
8, 15, 17
Step-by-step explanation:
That's a triple I remember
factorize 2a^2+7a-15
Answer:
2a^2+10a-3a-15
2a(a+5)-3(a+5)
(2a-3) (a+5)
[tex] \huge\bf \pink {\underline{Solution :-}}[/tex]
[tex]2 {a}^{2} + 7a - 15[/tex]
[tex] = 2 {a}^{2} + 10a - 3a - 15[/tex]
[tex] = 2a(a + 5) - 3(a + 5)[/tex]
[tex] = (a + 5)(2a - 3)[/tex]
[tex] \sf \red{Hence, Answer \: is \: (a + 5)(2a - 3).}[/tex]
[tex] \\ [/tex]
[tex] \bf \purple{ \underline{ Important \: Formulas \: for \: Factorization :-}}[/tex]
[tex]• \: {a}^{2} + 2ab + {b}^{2} = {(a + b)}^{2} [/tex]
[tex]• \: (a + b)(a - b) = {a}^{2} - {b}^{2} [/tex]
[tex]• \: {a}^{2} - 2 ab + {b}^{2} = {(a - b)}^{2} [/tex]
[tex]• \: {a}^{3} + 3 {a}^{2} b + 3a {b}^{2} + {b}^{3} = {(a + b)}^{3} [/tex]
[tex]• \: {a}^{3} - 3 {a}^{2} b + 3a {b}^{2} - {b}^{3} = {(a - b)}^{3} [/tex]
[tex]• \: {(a + b)}^{2} + {(a - b)}^{2} = 2( {a}^{2} + {b}^{2} )[/tex]
[tex]• \: {(a + b)}^{2} - {(a - b)}^{2} = 4ab[/tex]
[tex]• \: (a + b)( {a}^{2} -ab + {b}^{2} ) = {a}^{3} + {b}^{3} [/tex]
[tex]• \: (a - b)( {a}^{2} + ab + {b}^{2} ) = {a}^{3} - {b}^{3}[/tex]
[tex]• \: {( \frac{a + b}{2} )}^{2} - ( {\frac{a - b}{2} } )^{2} = ab[/tex]
The figure shows ST
intersecting plane A at point V. a right angle. Points P, R, and
Q also lie in the plane.
Which statements are true based on the figure? Select all that apply.
Answer:
A,B,E,F those the answer i have EOC review packet done
Step-by-step explanation:
Points, lines and planes are undefined terms in geometry.
The true statements are:
(c) V lies on line ST(d) ST is perpendicular to plane A(e) ST is perpendicular to RVFirst, we test each option to determine the true and false options.
(a) S, V and U are collinear
Points that are collinear are on the same line
S, V and U are not collinear, because they are not on the same line.
Hence, (a) is false
(b) Q, S, T and U are coplanar
Points that are coplanar are on the same plane
Q, S, T and U are not coplanar, because they are not on the same plane.
Hence, (b) is false
(c) V lies on line ST
Point V is the point of intersection of line ST and plane A
This means that point V lies on line ST and plane A
Hence, (c) is true
(d) ST is perpendicular to plane A
Line ST intersects with plane A at point V at 90 degrees.
Perpendicular lines and planes meet at 90 degrees
Hence, (d) is true
(e) ST is perpendicular to RV
Because line ST intersects with plane A at point V at 90 degrees.
Any line drawn from point V would be perpendicular to line ST
Hence, (e) is true
(f) P, R and Q are collinear
Points that are collinear are on the same line
P, R and Q are not collinear, because they are not on the same line.
Hence, (f) is false
Read more about lines, planes and points at:
https://brainly.com/question/1887287
what is the range of these numbers: 79 72 78 -71 -91 65
Answer:
170
Step-by-step explanation:
91+79
Answer:
The range would be 170
Step-by-step explanation:
79- -91= 170
Please help me with this geometry problem, tysm
9514 1404 393
Answer:
x = 6∠NBS = 68°Step-by-step explanation:
The sum of the two adjacent angles is equal to the angle that includes both.
∠NBS +∠SBR = ∠NBR . . . . . angle sum theorem
(12x -4) +42 = (17x +8)
30 = 5x . . . . . . . . . . . . . . subtract 12x+8
6 = x . . . . . . . . divide by 5
__
Then the measure of ∠NBS is ...
∠NBS = 12x -4 = 12·6 -4
∠NBS = 68 . . . . degrees
Find the value of p
Find the arc length of AB
Answer:
p = 38.22
Step-by-step explanation:
Area of sector
[tex] = \frac{ \theta}{360 \degree} \pi {r}^{2} \\ \\ 12 = \frac{p\degree}{360 \degree} \times 3.14 \times {6}^{2} \\ \\ 12 = \frac{p\degree}{360 \degree} \times 3.14 \times 36 \\ \\ p \degree= \frac{12 \times 360 \degree}{3.14 \times 36} \\ \\ p\degree = \frac{4,320 \degree}{113.04} \\ \\ p \degree= 38.2165605 \degree \\ \\ p = 38.22[/tex]
if y=5x-3, which of the following sets represents possible inputs and outpouts of the function, represented as ordered pairs?
a [(2,5), (-3,-12), (-4,-18)]
b [(-1,-8), (0,-3), (3,12)]
c [(1,4), (7,25), (3,10)]
d [(5,20), (6,12), (1,9)]
How many solutions are there to the equation shown below? 7x+12=5x−8
Answer:
Only one and that one solution is -10
Step-by-step explanation:
;w;
Answer:
One Solutionx = -10Explanation:
7x + 12 = 5x − 8
Subtract 12 from both sides7x + 12 - 12 = 5x - 8 + 12
Simplify7x = 5x - 20
Subtract 5x from both sides7x - 5x = 5x - 20 - 5x
Simplify2x = -20
Divide both sides by 22x / 2 = -20 / 2
Simplifyx = -10There Is One solution- PNW
Helpppppp meeee pleaseeee
Answer:
B
Step-by-step explanation:
if the sum of data is 80 and number of data 16,find the value of mean.
Answer:
Its 5
Step-by-step explanation:
Mean= sum/number
=80/16
=5
Which of the equations below could be the function rule for the following function?
{(0, -1), (1, 2), (-1, -4), (2, 5)}
y = x - 3
y = x + 1
y = 3 x - 1
y = 2 x + 1
Answer:
the correct equation for which the following functions are true is
c.) y = 3x - 1
HELP PLEASE
Carolina completed the right column of the table to help her translate the number 5.073 to word form.
Step 1: State the number before the decimal point. "Five"
Step 2: Write the word "and."
Step 3: State the number after the decimal point.
Step 4: Write the place value of the last digit.
Step 5: Combine steps 1 to 4 to write the number.
"and"
"seventy-three"
"hundredths"
"Five and seventy-three
hundredths"
In which step was the first error made?
O Step 1
O Step 3
O Step 4
Step 5
Answer:
..mrnekrvgnw4,grmsfc
Step-by-step explanation:
Solve for G MUST SHOW WORK
3 = g/-4 - 5
Answer:
g=-32
Step-by-step explanation:
Switch sides
g/-4 -5 = 3
Add 5 to both sides
g/-4 -5+5=3+5
Simplify
g/-4 = 8
Multiply both sides -4
g(-4)/-4 = 8(-4)
Simplify
g=-32
Please helppppppp!!!!
Answer:
I am not sure if i am correct Buttttt
Step-by-step explanation:
25:180
Answer:
I'm pretty sure it's (180, 1.5) (120, 3.5)
Step-by-step explanation:
I don't think that is right but maybe because it's the coordinates for the two points
Find the difference:
2(x-2) - 3(x-4)
Answer:
brainliest plzzzzz
Step-by-step explanation:
2(x-2) - 3(x-4)
Simplify:
2(x-2)-3(x-4)
2x-4-3(x-4)
Distribute:
2x-4-3(x-4)
2x-4-3x+12
Add the numbers:
2x-4-3x+12
2x+8-3x
Combine like terms:
2x+8-3x
-x+8
Hence Solution = -x+8
Simplify the expression:
10s+–2s
Answer:
8s
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
TermsStep-by-step explanation:
Step 1: Define
10s + -2s
Step 2: Simplify
Rewrite: 10s - 2sCombine like terms: 8sAnswer:
[tex]\huge\boxed{8s}[/tex]
Step-by-step explanation:
Expression can be broken down into a couple of parts.
A term (like 10s, or -2s)The variable (what the unknown value is being represented by, in this case, s)The coefficient (the number next to the variable, showing what to multiply the variable by - in this case, 10 and -2)When we have multiple terms with the same variable, we can perform operations on them assuming they have the same variable - for example, 5x + 6x = 11x, as 5+6=11.
We can apply the same logic here, however, note that adding a negative is the same as subtracting a positive. For example, 5 + -2 is the same as 5-2.
[tex]10 - 2 = 8[/tex]
Therefore, our final expression is [tex]8s[/tex].
Hope this helped!
A 2.5-kg bag of flour contains enough flour to make 4 cakes. a) How much flour is needed to make 50 cakes?
Answer:
31.25 kg of flour is needed to make 50 cakes
Step-by-step explanation:
A 2.5-kg bag of flour contains enough flour to make 4 cakes. a) How much flour is needed to make 50 cakes?
We can find it by using unitary method i.e first find quantity of flour needed for 1 cake and then we can find quantity of flour needed for 50 cakes.
Flour needed to make 4 cakes = 2.5 kg
Flour needed to make 1 cake = [tex]\frac{2.5}{4}[/tex] kg
Flour needed to make 50 cakes = [tex]\frac{2.5}{4}\times 50[/tex]
= 31.25 kg
So, 31.25 kg of flour is needed to make 50 cakes
Move words to the blanks and equations to the boxes to prove that vertical angles <21 and <23 are congruent.
Answer:
See proof below
Step-by-step explanation:
From the given diagram, we can see that <2 and <3 lies on the same straight line, hence the sum of the angles is 180 degrees (supplementary)
<2 + <3 = 180 .... 1
Similarly. <1 and <2 are also supplementary angles
<1 + <2 = 180 .... 2
Subtract 1 from 2;
<3 - < 1 + <2 - <2 = 180 - 180
<3 - <1 +0 = 0
<3 - <1 = 0
Add <1 to both sides
<3 - <1 + <1 = 0+<1
<3 = <1 (Proved!)
This shows that <3 and <1 are equal
We can also conclude that <3 and <1 are vertically opposite angles and vertically opposite angles are equal
The student council raised $2,790 during its annual fundraiser. The money was shared equally among the Events Committee, the Sports Committee, and the Sunshine Committee. a. The Sports Committee wants to use its share of the money to purchase t-shirts. If each t-shirt costs $12, what is the greatest number of t-shirts the Sports Committee can purchase? Can you help me with this please
Answer:
76 t-shirts
Step-by-step explanation:
The computation of the highest number of t-shirts purchased by the sports committee is as follows:
Since it is given that there is a fund of $2,790 among three committee that shared equally
That means
= $2,790 ÷ 3 committees
= $930 each
Now the sports committee wants to use its share for purchasing the t-shirt
And, if cost of each t-shirt is $12
So, the highest number of t-shirt purchase is
= $930 ÷ $12
= 77.5
= 76 t-shirts
6(g+17)= ...... ............................................................................
Answer:
6g + 102
Step-by-step explanation:
what is the y-intercept from the point (0,7)
Answer:
7
Step-by-step explanation: