Answer:
40
Step-by-step explanation:
8x = 56
8x + 16 = 40
x = 3
8x = 24
x = 7
8x – 16 = 40
8(x – 2) = 40
Does anybody know the answer to this question f(x)=x^3-x^2-10x-8
Answer:
(X+1) (x - 4) (x+2)
Step-by-step explanation:
All the coefficients are integers so apply the rational zeros theorem.
The coefficient of x^3 is 1.
Divide (x^3-x2-10x-8)(x+1) = x^2-2x-8 with remainder = 0
The remainder is 0. (x+1) is a factor.
(x + 1) ( x^2 - 2x - 8)
x^2 - 2x - 8 (-4 * 2= 8) and -4 + 2 = -2)
= (x -4) (x+2)
Use the Pythagorean Theorem to find the distance between the point (1,4) and (-5,-4) on the coordinate plane? (FREE RESPONSE)
PLZ I NEED IT RIGHT NOW
Answer:
hope this helps
a person buys 6 bags of chips for 18 dollars. How much is it per bag
Answer:
hope it helps you..........
pythagorean theorem help meeeeee!!
Answer:
25
Step-by-step explanation:
remember that the pythagorean theorem is a²+b²=c²
so this equation would be:
7²+24²=c²
solve the exponents
49 + 576 = c²
combine like terms
625 = c²
take the radical of each number
√625 = √c²
25 = c
have a lovely day <3
4x – 3y = -7
5x – 4y = - 8
The answer is x=−4 and y=−3
Rationalise the denominator of: -7/(√11 - √5)
[tex] \sf \underline{ \red{Solution - }} \\ [/tex]
Given,
[tex] \sf{\quad { \dfrac{-7}{\sqrt{11} - \sqrt{5}} }} \\ [/tex]
The denominator is √11 - √5.
We know that
Rationalising factor of √a-√b is √a+√b.
Therefore, the rationalising factor of √11-√5 is √11+√5.
On rationalising the denominator them
[tex] \longrightarrow \sf{\quad { \dfrac{-7}{\sqrt{11} - \sqrt{5}} \times \dfrac{(\sqrt{11} + \sqrt{5})}{(\sqrt{11} + \sqrt{5})} }} \\ [/tex]
Multiplying (√11 + √5) with both the numerator of the fraction.
[tex] \longrightarrow \sf{\quad { \dfrac{-7(\sqrt{11} + \sqrt{5}) }{(\sqrt{11} - \sqrt{5})(\sqrt{11} + \sqrt{5})} }} \\ [/tex]
Performing multiplication in the numerator and by using identity (a + b)(a - b) = a² - b², solving further in the denominator.
[tex] \longrightarrow \sf{\quad { \dfrac{-7\sqrt{11} -7\sqrt{5}}{(\sqrt{11})^2 - (\sqrt{5})^2} }} \\ [/tex]
Writing the squares of the numbers in the denominator.
[tex] \longrightarrow \sf{\quad { \dfrac{-7\sqrt{11} -7\sqrt{5}}{11 -5} }} \\ [/tex]
Performing subtraction in the denominator.
[tex] \longrightarrow \quad \underline{ \boxed{ \dfrac{ \textbf{ \textsf{-7 }}\sqrt{ \textbf{ \textsf{11 }}} - \textbf{ \textsf{7}}\sqrt{ \textbf{ \textsf{5 }}}}{ \textbf{ \textsf{ 6}}}} } \\ [/tex]
Hence, the denominator is rationalised.
[tex]Simplify: \frac{ 5×(25)^{n+1} - 25 × (5)^{2n}}{5×(5)^{2n+3 }- (25)^{n+1}} \\ [/tex]
Need help please"....."
[tex] \green{\large\underline{\sf{Solution-}}}[/tex]
Given expression is
[tex]\rm :\longmapsto\:\dfrac{5 \times {25}^{n + 1} - 25 \times {5}^{2n} }{5 \times {5}^{2n + 3} - {25}^{n + 1} } [/tex]
can be rewritten as
[tex]\rm \: = \: \dfrac{5 \times { {(5}^{2} )}^{n + 1} - {5}^{2} \times {5}^{2n} }{5 \times {5}^{2n + 3} - {( {5}^{2} )}^{n + 1} } [/tex]
We know,
[tex] \purple{\rm :\longmapsto\:\boxed{\tt{ {( {x}^{m} )}^{n} \: = \: {x}^{mn}}}} \\ [/tex]
And
[tex] \purple{\rm :\longmapsto\:\boxed{\tt{ \: \: {x}^{m} \times {x}^{n} = {x}^{m + n} \: }}} \\ [/tex]
So, using this identity, we
[tex]\rm \: = \: \dfrac{5 \times {5}^{2n + 2} - {5}^{2n + 2} }{{5}^{2n + 3 + 1} - {5}^{2n + 2} } [/tex]
[tex]\rm \: = \: \dfrac{{5}^{2n + 2 + 1} - {5}^{2n + 2} }{{5}^{2n + 4} - {5}^{2n + 2} } [/tex]
can be further rewritten as
[tex]\rm \: = \: \dfrac{{5}^{2n + 2 + 1} - {5}^{2n + 2} }{{5}^{2n + 2 + 2} - {5}^{2n + 2} } [/tex]
[tex]\rm \: = \: \dfrac{ {5}^{2n + 2} (5 - 1)}{ {5}^{2n + 2} ( {5}^{2} - 1)} [/tex]
[tex]\rm \: = \: \dfrac{4}{25 - 1} [/tex]
[tex]\rm \: = \: \dfrac{4}{24} [/tex]
[tex]\rm \: = \: \dfrac{1}{6} [/tex]
Hence,
[tex]\rm :\longmapsto\:\boxed{\tt{ \dfrac{5 \times {25}^{n + 1} - 25 \times {5}^{2n} }{5 \times {5}^{2n + 3} - {25}^{n + 1} } = \frac{1}{6} }}[/tex]
(25 points) Ratio question
If you mix blue and yellow paint in different ratios, you will get different shades of
green paint. If the ratios are equivalent, the shades of green will be the same.
- Clare mixed a batch of green paint using 8 cups of yellow paint and 5 cups of blue paint. Jada mixed another batch of green paint using 6 cups of yell paint and 4 cups of blue paint.
Are these two batches the same shade of green?
Yes
or
No
Answer:
No
Step-by-step explanation:
Answer:
No, it will not be the same shade of green.
Step-by-step explanation:
For the shade of green to be equivalent that person would need both of the proportions to be equal weather it is 6/4 and 12/8 or 8/5 16/10.
The ratios 8/5 and 6/4 do not match therefore the green the batches make will not be equal.
I hope this helps :D
Triangles PQR and STU are similar. The length of PQ = 36 cm, RP = 48 cm and QR = 24
cm. THe length of the longest side of triangle STU is 92 cm. What is the perimeter of
triangle STU?
Answer:
207 cm
Step-by-step explanation:
Because ΔPQR ≅ΔSTU and the longest side in the ΔPQR is RP then the longest side in ΔSTU must be SU = 92 cm
Perimeter of triangle PQR is
P(ΔPQR) = 36+48+24 = 108 cm
Because the triangles are are similar their sides are in proportion.
But how much bigger did the second triangle get?...is (92/48) times bigger
P(ΔSTU) = 180*(92/48) = 207 cm
...you can also use proportions to find each side and then find the perimeter
TU = 24*92 /48 = 46
TS = 36*92/48 = 69
SU = 92
P(ΔSTU) = 92+69+46 =207 cm
*the triangles are not drawn to scale
Which ordered pairs are solutions to the inequality 2x +y > -4? Select each correct answer. (0, 1) (-3,0) (4 – 12) (-1, -1) (5,- 12 )
Answer:
(5,-12)
(-3,0)
(-1,-1)
Step-by-step explanation:
For (4, −12): 2(4) - 12 = 8 - 12 = -4 [false]
For (−3, 0): 2(-3) = -6 < -4 [false]
For (5, −12): 2(5) - 12 = 10 - 12 = -2 > -4 [true]
For (0, 1): 2(0) + 1 = 1 > -4 [true]
For (−1, −1): 2(-1) - 1 = -2 - 1 = -3 > -4 [true]
Therefore, (5, -12), (0, 1) and (-1, -1) satisfies the inequality 2x + y > -4
For (7, 12): 12 - 2(7) = 12 - 14 = -2 > -3 [false]
For (0, −2): -2 - 2(0) = -2 > -3 [false]
For (5, −3): -3 - 2(5) = -3 - 10 = -13 < -3 [true]
For (−6, −3): -3 - 2(-6) = -3 + 12 = 9 > -3 [false]
For (1, −1): -1 - 2(1) = -1 - 2 = -3 [true]
Therefore, (5, -3) and (1, -1) satisfy the inequality y - 2x ≤ -3
The situation is represented by 2.25x + 2.65y ≥ 8
Please help! I need help T-T
Answer:
$130.00
Step-by-step explanation:
674-284=390
390/3=130
what that person said :(
What is the correct standard form for 500 + 6 + 0.09 + 0.003.
Answer:
Your answer is 506.093.
Step-by-step explanation:
Hope this helps!
IF YOU CAN ONLY ANSWER ONE ITS OKAY
Find the slope of a line perpendicular to each given line.
13) -3y = 9 - 4x
14) -y - 1 = 6 x
13. M=4/3
14. m=-6
Step-by-step explanation:
The graph shows the number of servings in different amounts of frozen yogurt listed on a carton. Enter an equation that gives the number of servings y in x pints. Use only decimal form, if necessary.
The equation is y =
Answer:
y=2.5x
Step-by-step explanation:
We have been given a graph that shows numbers of servings (y) in different amounts (x) of frozen yogurt listed on a carton.
To write an equation that gives the number of servings y in x pints, we will have to find the slope (rate of change) of our given linear function.
Since we know that rate of change of a function can be found by vertical change of the function divided by horizontal change of the function.
m= Slope (rate of change).
=Difference between two y-coordinates.
=Difference between corresponding x-coordinates of the y-coordinates.
Upon substituting coordinates of two points (0,0) and (4,10) in slope formula we will get,
The slope of our given line is 2.5.
Now we will write equation of our given line is slope-intercept form. The equation of a line in slope-intercept form is: , where m=slope and b = y-intercept (initial value).
Upon substituting m=2.5 and coordinates of point (4,10) in slope-intercept form of equation we will get,
Upon substituting m=2.5 and b=0 in slope-intercept form of equation we will get,
Therefore, the equation will give the number of servings y in x pints.
Divided: x³-2x²-x+2 by x+1. Using long division method.
[tex]\large\underline{\sf{Solution-}}[/tex]
Given that
[tex] \purple{\rm :\longmapsto\:Dividend = {x}^{3} - {2x}^{2} - x + 2}[/tex]
and
[tex] \purple{\rm :\longmapsto\:Divisor = x + 1}[/tex]
So, By using Long Division Method, we have
[tex]\begin{gathered}\begin{gathered}\begin{gathered} \:\: \begin{array}{c|c} {\underline{\sf{}}}&{\underline{\sf{\:\: {x}^{2} - 3x + 2\:\:}}}\\ {\underline{\sf{x + 1}}}& {\sf{\: {x}^{3} - {2x}^{2} - x + 2 \:\:}} \\{\sf{}}& \underline{\sf{- {x}^{3} - {x}^{2} \: \: \: \: \: \: \: \: \: \: \:\:}} \\ {{\sf{}}}& {\sf{\: \: \: \: \: \: \: \: \: \: \: \: \: \: - 3{x}^{2} - x +2 \: \: \: \: \: \: \: \:\:}} \\{\sf{}}& \underline{\sf{\:\: \: \: \: \: \: \: \: \: \: \: 3{x}^{2} + 3x \: \: \: \: \: \: \:\:}} \\ {\underline{\sf{}}}& {\sf{\:\: \: \: \: \: \: \: \: \: \: \: \: \: 2x + 2 \:\:}} \\{\sf{}}& \underline{\sf{\: \: \: \: \: \: \: \: \: \: \: \: - 2x - 2\:\:}} \\ {\underline{\sf{}}}& {\sf{\:\: \: \: \: \: \: \: \: \: \: \: \: \: \: 0\:\:}} \end{array}\end{gathered}\end{gathered}\end{gathered}[/tex]
So,
[tex]\bf\implies \:Remainder = 0[/tex]
Verification
[tex] \purple{\rm :\longmapsto\:Dividend = {x}^{3} - {2x}^{2} - x + 2}[/tex]
[tex] \purple{\rm :\longmapsto\:Divisor = x + 1}[/tex]
[tex] \purple{\rm :\longmapsto\:Remainder = 0}[/tex]
[tex] \purple{\rm :\longmapsto\:Quotient = {x}^{2} - 3x + 2}[/tex]
Now, Consider
[tex]\rm :\longmapsto\:Divisor \times Quotient + Remainder[/tex]
[tex]\rm \: = \: (x + 1)( {x}^{2} - 3x + 2) + 0[/tex]
[tex]\rm \: = \: {x}^{3} - {3x}^{2} + 2x + {x}^{2} - 3x + 2[/tex]
[tex]\rm \: = \: {x}^{3} - {2x}^{2} - x + 2[/tex]
[tex]\rm \: = \: Dividend[/tex]
Hence, Verified
CARRY ON LEARNING
CAN YOU BRAINLEST ME PLEASE
Use a property of equality to solve this equation:
4.5x = 18
x =
Answer:
4
Step-by-step explanation:
x= 18÷4.5=4
hope it helps
jerome completes 8 extra credit problems and then 4 problems each day until the worksheet is done.28 problems is on the worksheet.
Find the equation for the line that passes through the points (1, 1) And (3, 5)
Answer:
y = 2x - 1
Step-by-step explanation:
Slope = (5-1) / (3-1) = 4/2 = 2
y-intercept = 1 - (2)(1) = - 1
y = 2x - 1
I need so.e help with this
Answer:
(3,7) is not a solution
Step-by-step explanation:
You fill in the values x=3 and y=7 in both equations and see if you end up with something that is true.
-5·3 - 2·7 = 23 is not true, because it simplifies to -29 = 23
no need to look further, but if you would, the second equation is also false:
3 + 4·7 = -19 is also not true.
The real solution by the way is (-3, -4).
Look at the point in the picture. What is the y coordinate?
(3,-2)
Answer:
-2
Step-by-step explanation:
It's (x,y)
Here, (3,-2)
-2 is y
:)
complete the simpliflication:
please help giving brainlest
Answer:
Step-by-step explanation:
write four times the sum of a number and one-fourth is less than or equal to nine more the product of two and the number as an inequality
Answer:
4(x + 1/4) ≤ 9 + 2x
Step-by-step explanation:
help please, please anybody
Answer:
the answer is the third one 3
3 m
6 m
6 m
10 m
Perimeter:
Area:
Answer:
perimeter-3+6+3+10+6+4=32m
area- 10×6=60m²
Solve for n
n - 17=3
Answer:
N=20
Step by Step:
First you add 17 to both of the sides:
N−17+17=3+17
Second, you simplify;
N=20
Brainiest please?
Answer:D
Step-by-step explanation:
Which functions have graphs that are steeper than the graph of f(x) = -3x2 ? Select each correct answer.
Answer:
the answer would be:
g(X)
and
m(X)
Step-by-step explanation:
make me as Brainliest sorry if I am wrong
please help me i dont know the answer to both of these.
Answer:
The answer for the first one is D: Multiply x by 5 and 2 by 5.
The answer for the second one is: A: There are infinitely many solutions.
Step-by-step explanation:
I am doing Linear equations right now in school lol
Write a linear equation that passes through pairs would be perpendicular to the equation the point (2, -9) and has a slope of -5 in y = 4x - 1?
A A equation that’s perpindicular to y = 4x - 1 and passes through the point (2, -9) is…
Answer: y = -3/4x - 15/2
Explanation: Opposite reciprocal slopes and plug in -9 with y and 2 with x then solve for b
-9 = -1.5 + x
x = -15/2
Viola makes gift baskets for Mother’s Day. She has 13 baskets left over from last year, and she plans to make 5 more each day. If there are 15 work days until the day she begins to sell the baskets, how many baskets will she have to sell? I can't find the rule of the equation.
Answer:
88 blankets
Step-by-step explanation:
5 times 15 = 75
75 + 13 = 88
what is the first natural number
A.0 B.1. C.-1
Answer:
1
Step-by-step explanation:
1 is the first natural number because 0 is not a natural number.
All natural numbers are numbers from 1 onward.
Ex. 1.2.3.4.5.6...