Answers
Answer:
-6, 14, -26, 10x -4, -8x + -2x - 6
Step-by-step explanation:
So F(x) is setting that the values before the lines are equal to x and should be applied to the problem. Dont forget PEMDAS with these tho, they'll try to trick u like that.
So for the first one, f(0) you plug 0 where the x's are.
1.) 8(0)^2 +2(0) -6
0 + 0 - 6 = -6
2.) 8(2) +2(2) - 6
16+ 4-6= 20 - 6= 14
3.) 8(-2) + 2(-2) -6
-16 + -4 -6 = -26
On the ones where they leave the x there, you just have to leave the x. But don't forget distribution tho.
4.) 8(x+1) +2(x+1) -6
8x +8 + 2x + 2 -6
10x +10 -6 = 10x -4
5.) 8(-x) + 2(-x) -6
-8x + -2x -6
Step-by-step explanation:
the given function is f(x) = 8x² + 2x -6
f(0) = 8(0)² + 2(0) -6 = -6
f(2) = 8 (2)² + 2 (2) - 6 = 30
f(-2) = 8 (-2)² + 2 (-2) - 6 = 22
f (x+1) = 8(x+1)² + 2 (x+1) -6
= 8(x² +2x +1 ) + 2x -4
8x² + 16x +8 +2x -4 = 8x² + 18x + 4
f(-x) = 8(-x)² + 2 (-x) - 6
= 8x² -2x -6
Related Questions
two ships leave a port sailing 18km/h and 26 km/h. Their angle between their directions of travel from the port is 39 °. How far part are the skips to the nearest km after 2 hours
Answers
Yall please help!!!!!! THANK YOUUU SO MUCHHH!!! Kinda lostttt
Answers
Answer:
Should be C
Step-by-step explanation:
Only the same power number can be use to add or subtract :)
But why is A, B and C same kinda stuff?
A farmer has only goats and hens in his farm,on a particular day,he sold 12 animals (goats and hens) and the total number of their legs was 32. how many goats and how many hens did he sell that day?
Answers
The number of goats sold is 4 and hens sold is 8.
What is an Equation ?An equation is a mathematical statement which equates two algebraic expression with an equal sign.
Let the total number of goats sold be g
Let the total number of hens sold is h
g + h = 12
The total no. of legs of a goats sold will be 4g
and the total number of legs of a hens sold will be 2h
and it is given that
4g +2h = 32
The system of equation formed is
g + h = 12
4g +2h = 32
Multiplying equation (1) by 2 and then (1) - (2)
-2g = -8
g = 4
Therefore the number of goats sold is 4 and hens sold is 8.
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Graph: y - 3 = (x + 2)
Answers
Answer:
Step-by-step explanation:
See attached graph.
what does X equal to in this equation
Answers
Answer:
17
Step-by-step explanation:
5x+5x+10=180
10x=170
x=17
Answer:
Answer is 17
Step-by-step explanation:
It is done in this step
5x +5x+10=180
10x=170
x=17
Gary and Georgia split £56 in the ratio
2:5.
How much money does Georgia get?
Give your answer in pounds (£).
Answers
Answer:
£40
Step-by-step explanation:
sum the parts of the ratio, 2 + 5 = 7 parts
divide the amount by 7 to find the value of one part of the ratio.
£56 ÷ 7 = £8 , then
5 parts = 5 × £8 = £40 ← amount Georgia gets
Out of £56, the money received by Georgia is equivalent to $40.
What is Ratio?
The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.
Given is Gary and Georgia who split £56 in the ratio 2:5.
There are total of 7 parts. This means that £56 is divided equally among the seven parts. Assume that the one part is equivalent to x. Then the cost of 7 parts = 7x. From the question, we can write -
7x = 56
x = 8
Georgia has 5 parts, therefore the money received by Georgia will be = 5 x 8 = 40
Therefore, out of £56, the money received by Georgia is equivalent to $40.
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An aerospace company's stock closes Tuesday at $144.12. The next day, it gains $5.92. What is the new stock price?
Answers
Answer:
150.04
Step-by-step explanation:
144.12
5.92
+ 150.04
Kimberly loves science and just subscribed to KiwiCo, a company that delivers STEAM kits to students to build and create
things at home! KiwiCo charges a subscription fee of $16.99 for each of its members. KiwiCo had 300 subscribers in March.
In April, 50 new people subscribed to KiwiCo, and 23 people canceled their subscriptions. How much more money did
KiwiCo earn from subscriptions in April?
Answers
The KiwiCo earn money from subscriptions in April would be $5555.73.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
KiwiCo charges a subscription fee of $16.99 for each of its members.
$16.99 per 1 person
KiwiCo had 300 subscribers in March.
In April, 50 new people subscribed to KiwiCo, and 23 people canceled their subscriptions.
300 + 50 = 350 - 23 = 327
So,
327×$16.99= 5555.73
Hence, The KiwiCo earn money from subscriptions in April would be $5555.73.
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Explain the difference between area and volume.
a. Area is a measurement of the distance around an object, while volume measures the amount of two-dimensional space inside an object.
b. The area of an object is the amount of 3-dimensional space is inside it. The volume of an object represents the distance around it.
c. The area of an object is the amount of 3-dimensional space is inside it. The volume of an object is a measurement of how much 2-dimensional space it has.
d. The area of an object measures the amount 2-dimensional space it occupies. Volume represents the amount of space inside a 3-dimensional object.
Answers
Answer:
d. The area of an object measures the amount 2-dimensional space it occupies. Volume represents the amount of space inside a 3-dimensional object.
Step-by-step explanation:
The difference between area and volume...
Area is expressed in square units (²), measured in 2D (length × width). Volume is expressed in cubic units (³), measured in 3D (length × width × depth).A. INCORRECT,
Area is not a measure of distance around an object that is perimeter. Volume = length × width × depth making it a 3D space inside an object NOT 2DB. INCORRECT,
Area of an object is not 3D space is inside, rather this is volumeVolume of an object represents the distance around it is not true, this is describing perimeterC. INCORRECT,
Area of an object is the amount of 3D space is is for volume not areaVolume of an object is a measurement of 2D space which not trueD. CORRECT,
Area of an object measures is a 2D space it occupies, length × widthVolume represents the amount of space inside a 3D object, length × width × depthLearn more about Area and Volume here: https://brainly.com/question/14306303
Which of the following angles are congruent?
L
»
M
0
»
O
ZMOL = ZMON
O ZMNO = ZLOK
OZLKO ZNMO
K
N
Answers
Answer:
LKO = NMO
Step-by-step explanation:
This is because both of the angles lie on the same "vertical angle", the line segment that connects M to K. The segment MN is also parallel to segment LK. If you have two congruent line segments, then the measure of the angles are congruent.
HEEEEEEELPPP AND QUICKKKKK PLEASE OMGOMGOMGGMOGMGOMGOMGOMGOGMOMGOMGOMGOGMOGMOMGOMGOMOGOG
Answers
Answer:
C (The third answer). The square root of terms separated by addition and subtraction cannot be calculated individually.
Step-by-step explanation:
This problem can be thought similarly to: (x-2)²
A common mistake would to make the x squared and the -2 squared like x²+4, however, the problem should be solved like (x-2)(x-2) which equals to: x² - 4x + 4
In this question, if you square root an expression like ±√(b²-4ac), you cannot just take the square root of b² unless it was (b²)(-4ac).
The terms can only be divided individually if they are either multiplied or divided, but cannot if they are added or subtracted.
If b = 5, then the exact value of a is?
Answers
Answer:
5sqrt3
Step-by-step explanation:
You can use trigonometry to figure out the answer
TOA is tan(any angle) = opposite/adjacent
Tan(30) = 5/x
tan(30) = sqrt3/3
x = tan inverse (30) multiplied by 5
x = 5sqrt3
Which term best describes the horizontal cross-sections of an oblique cone?
O A. Congruent discs
OB. Similar discs
OC. Similar polygons
O D. Congruent polygons
Answers
Answer:
B. Similar discs
Step-by-step explanation:
Definitions
Cone: A three-dimensional solid figure that has a circle at one end (the "base"), a point at the other end (the [tex]\sf a\:\!pex[/tex]), and a curved side.
Right Cone: A cone where the [tex]\sf a\:\!pex[/tex] is aligned on the center of the base.
Oblique Cone: A cone where the [tex]\sf a\:\!pex[/tex] is not centered over the base.
Horizontal Cross-section: The intersecting plane parallel to the base of the solid figure.
Congruent: The same shape and size.
Similar: When one shape can become the other after being resized, reflected, translated or rotated.
Disc: The region in a plane bounded by a circle.
Polygon: A two-dimensional closed shape with a minimum of 3 straight sides.
Therefore, the horizontal cross-sections of an oblique cone are similar discs.
Chapter - logarithms
Please help!!!
Answers
Answer:
[tex]\large\boxed{\sf n^2 \ log \ x }[/tex]
Step-by-step explanation:
Given that ,
[tex]\longrightarrow \log \ x + \log\ x^3 + \log \ x^5\ \dots + \log x^{2n-1} [/tex]
As we know that , [tex] \log x^n = n \log x [/tex] , therefore ;
[tex]\longrightarrow \log x + 3\log x + 5\log_x +\dots + (2n-1)\log x [/tex]
Take out log x as common ;
[tex]\longrightarrow \log x ( 1 + 3+5+...+(2n-1))[/tex]
The terms inside the brackets are the sum of first n odd numbers . And we know that the sum of first n odd numbers in n² . Therefore ;
[tex]\longrightarrow \log x (n^2) \\[/tex]
[tex]\longrightarrow \underline{\underline{\red{{ n^2\log x }}}}[/tex]
Option c is correct!
find the new prices after the given percentage increases.
a] £35 increased by 10%
b} £105.99 increased by 12%
Answers
Answer:
a] 38.5$
b] 118.71$
Step-by-step explanation:
A)35$ was increased by 10%
So:
10% of 35$
10/100 x 35 ($)
3.5$
So 35$ was increased by 3.5$ and the new price is 38.5$
B)105.99$ was increased by 12%
So:
12% of 105.99$
12/100 x 105.99$
=12.7188$
Let's round it to the nearest hundredths:
12.72$
So 105.99$ was increased by 12.72$ and the new price is 118.71$
HOPE IT HELPS :D
Tip: "of" means multiplication in Maths.
which two values of x are roots of the polynomial below?
x^2 + 5x + 9
Answers
Answer:
The answer:
A. [tex]x= \frac{-5+ \sqrt{-11} }{2}[/tex]
F.[tex]x= \frac{-5- \sqrt{-11} }{2}[/tex]
Step-by-step explanation:
Step 1: Solve with quadratic formula
[tex]x_{1},2 = \frac{-b+- \sqrt{b^2}- 4ac }{2a}[/tex]For [tex]a=1, b=5, c=9\\x_{1},2 = \frac{-5 + \sqrt{5^2 -4 *1 *9} }{2*1}[/tex]Step 2: Simplify
[tex]\sqrt{5^2 - 4 *1 *9} : \sqrt{11} i[/tex]Multiply the numbers: [tex]4*1*9 = 36[/tex][tex]i\sqrt{ 36 -5^2}[/tex] = [tex]\sqrt{-5^2 + 36} = i\sqrt{11}[/tex][tex]5^2 = 25 = \sqrt{-25 + 36}[/tex]Add/subtract the numbers [tex]-25 +36 = 11 = \sqrt{11} = \sqrt{11}i[/tex]Step 3: Separate the solution
[tex]x_{1} = \frac{-5 + \sqrt{-11}i}{2} , x_{2} = \frac{-5 - \sqrt{-11}i}{2}[/tex]Answer:
[tex]\large {\textsf{A and F}}\ \implies \bold{x_1}=\dfrac{-5-\sqrt{-11}}{2},\ \bold{x_2}=\dfrac{-5+\sqrt{-11}}{2}[/tex]
Step-by-step explanation:
Quadratic Formula: [tex]x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
Standard Form of a Quadratic Equation: ax² + bx + c = 0, where a ≠ 0.
Given polynomial: x² + 5x + 9
⇒ a = 1, b = 5, c = 9
Step 1: Rewrite to Standard Form.
⇒ x² + 5x + 9 = 0
Step 2: Substitute the values of a, b, and c into the formula.
⇒ a = 1, b = 5, c = 9
[tex]x=\dfrac{-5\pm\sqrt{\bold{5^2}-4\bold{(1)(9)}}}{\bold{2(1)}}\\\\x=\dfrac{-5\pm\sqrt{25\bold{\ - \ 4(9)}}}{2}\\\\x=\dfrac{-5\pm\sqrt{\bold{25-36}}}{2}\\\\x=\dfrac{-5\pm\sqrt{-11}}{2}[/tex]
Step 3: Separate into two possible cases.
[tex]x_1=\dfrac{-5-\sqrt{-11}}{2}\\\\x_2=\dfrac{-5+\sqrt{-11}}{2}[/tex]
Other examples:
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need answer Asap! Lots of points!
Answers
Answer:
1
Step-by-step explanation:
Via calculator inputs.....
Instructions: Write the equation for the following
function. Do not use any spaces in your answer.
X
0
1
2
-1
y
0
-2
-4
-12
Y=
Answers
The function of the given data would be F(x) = y = 4x.
What is a function?The function is a type of relation, or rule, that maps one input to specific single output.
Given;
X(input) Y ( output)
0 0
1 4
2 8
3 12
We can see that
When the input is zero the output is also zero.
And when the input is some real number the output gives the multiple of 4.
Thus, The function could be
f(x) = 4x
The given function is represented by x as the independent variable.
Therefore, The function of the given data would be F(x) = y = 4x.
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Hi! So, I know I got this answer wrong, but I wasn't sure how to solve an equation with signs like: [brackets] in it, I've included my problem as an example, but can someone please teach me what those brackets mean, and how do I go about solving an equation (using this problem as an example) with brackets like these?
Answers
Step-by-step explanation:
Brackets is the bigger version of parentheses, you first solve the questions inside the parentheses, then move onto brackets.
For example, this question:
[tex]x=-1\\y=-2\\z=3[/tex]
[tex]5x-y[7-4(z-y)][/tex]
plug in x, y, and z.
[tex]5(-1)-(-2)[7-4(3-(-2))][/tex]
[tex]5(-1)-(-2)[7-4(5)][/tex]
[tex]5(-1)-(-2)[7-20][/tex]
[tex]5(-1)-(-2)[-13][/tex]
[tex]-5-(-2)[-13][/tex]
[tex]-5-26[/tex]
[tex]-31[/tex]
I hope you understand better now.
3x² - 5x+2
5x²-2x-6
Which of the following is the sum of the two
polynomials shown above?
A) 8x²-7x-4
B) 8x² +7x-4
C) 8x4-7x²-4
D) 8x² +7x²-4
Answers
combine like terms
2*2+2+2+2+2+2+2+22+2+22+2222+222+22+22+222+22+22
Answers
Answer:
Step-by-step explanation:
2,816 lol
Which rule can be used to describe the x-coordinates in the translation below ?
Answers
Answer:
The translation is [tex]X+0[/tex]
Step-by-step explanation:
A translation means the transformation that moves every point in a figure at the same distance in the same direction.
The translation can be described using words like moved up 3 and over 5 to the left or with the notation.
As for the given, there can be no rule described. so the translation is [tex]X+0[/tex]
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The translation is [tex]X+0[/tex]
A translation means the transformation that moves every point in a figure at the same distance in the same direction.
The translation can be described using words like moved up 3 and over 5 to the left or with the notation.
As for the given, there can be no rule described. so the translation is[tex]X+0[/tex]
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The area of the square is 36 square cm. Find its side.
Answers
Answer:
s = 6 cm
Step-by-step explanation:
the area (A) of a square is calculated as
A = s² ( s is the side length )
given A = 36 , then
s² = 36 ( take square root of both sides )
s = [tex]\sqrt{36}[/tex] = 6
n + 7
------- = 2
13
Answers
Answer:
19
Step-by-step explanation:
(n+7)/13 = 2 [given]n+7=26 [multiply both sides by 13]n=19 [subtract 7 from both sides]The revenue from selling shirts is r(x) = 11x.
The cost of buying x shirts is c(x) = 6x + 20.
The profit from selling x shirts is p(x) = r(x) - c(x).
What is p(x)?
Answers
Answer:
r(x)= 11x
c(x) = 6x + 20
p(x) = r(x) - c(x)
= 11x -( 6x + 20)
= 11x - 6x - 20
= 5x - 20
What should m<3 be for I1 II2
Answers
Answer:
63
Step-by-step explanation:
180 - 117 = 63 which is used to figure out angle 2.
Angle 2 and angle 3 are corresponding angles thus the measure of angle 3 is 63 degrees.
Answer:
Search up online
Step-by-step explanation:
i don't actually know but searching online is good
PLEASE HELP QUICKLY!!! WILL GIVE BRAINLYEST AWARD TO 1st RIGHT!!!
Answers
Answer:
i think is the third one
A club consists of 5 girls (Kirsten, Sarah, Suzie, Monica, and Katie) and 3 boys (Kevin, Steve and Samuel).
Find P(S-name U Boy)
Answers
The probability of selecting a person with a name that starts with S or a boy is [tex]\frac{5}{8}[/tex]
What is probability?Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates the impossibility of the event and 1 indicates certainty.
Given that, a club consists of 5 girls (Kirsten, Sarah, Suzie, Monica, and Katie) and 3 boys (Kevin, Steve and Samuel)
To find P(S-name U Boy), that is the probability of selecting a person whose name starts with S or boy.
n(S-name U Boy) = 5 {2 girls (Sarah, Suzie), 3 boys( Kevin, Steve and Samuel )}
Number of favourable outcomes=5
Total number of outcomes=5+3=8
P(S-name U Boy) [tex]=\frac{Number of favourable outcomes}{Total number of outcomes}[/tex]
[tex]=\frac{5}{8}[/tex]
Therefore, the probability of selecting a person with a name that starts with S or a boy is [tex]\frac{5}{8}[/tex].
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Solve |x — 6| = 8.
X
OA.
A. x 14 and x = -2
X=
OB. x = -14 and x = 2
OC. x =
14 and x = -14
D. x =
-14 and x = -2
Answers
x = 14 and x = -2
===========================================
Work Shown:
[tex]|x-6| = 8\\\\x-6 = 8 \ \text{ or } \ x-6 = -8\\\\x = 8+6 \ \text{ or } \ x = -8+6\\\\x = 14 \ \text{ or } \ x = -2\\\\[/tex]
-------------
Checking the answer x = 14
[tex]|x-6| = 8\\\\|14-6| = 8\\\\|8| = 8\\\\8 = 8\\\\[/tex]
That solution is confirmed.
Repeat for x = -2
[tex]|x-6| = 8\\\\|-2-6| = 8\\\\|-8| = 8\\\\8 = 8\\\\[/tex]
The second solution is confirmed.
Answer: A. x = 14, x = -2
Step-by-step explanation:
|x-6| = 8
this means x = 6+8 and x = 6-8
therefore, x = 14, x = -2
A bakery makes and sells designer cakes. The function d (x) = 125€ represents
the income, in dollars, from selling a cakes. The function p (y) = y - 1620
represents the monthly profit, in dollars, if the bakery makes y dollars in income for
the month. What is the profit from selling 30 designer cakes in a single month?
Answers
The profit from selling 30 designer cakes in a single month is; $2130.
What is the profit for selling 30 cakes in a month?It follows from the task content that the income function as given is; d(x) = 125 × a.
Hence, when 30 designer cakes are sold, thee income is; 125 × 30 = 3750$.
The profit which is a function of the income y is given as; p (y) = y - 1620.
On this note, if follows that the profit is; p (y) = 3750 - 1620 = $2130.
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