Answers
Answer:
Option 2 is the correct answer
[tex]g(x) = 4 {(x + 3)}^{2} - 68 [/tex]
Step-by-step explanation:
[tex]g(x) = 4 {(x + 3)}^{2} - 68 \\ \\ \because \: g(2) = 4 {(2 + 3)}^{2} - 68 \\ = 4 {(5)}^{2} - 68 \\ = 4(25) - 68 \\ = 100 - 68 \\ = 32[/tex]
Answer:
option b
Step-by-step explanation:
See image below:)
FYI you can use the app photo math, you just take a pic of the problem and it gives you the answer and explains the steps and it is free.
Related Questions
The Sugar Sweet Company is going to transport its sugar to market. It will cost 4500 to rent trucks, and it will cost an additional 255 for each ton of sugar transported.
Let C represent the total cost (in dollars), and let S represent the amount of sugar (in tons) transported. Write an equation relating C to S Then use this equation to find the total cost to transport 16 tons of sugar.
Answers
Answer:
C(s) = total cost function
$5,500 base price to rent trucks
$250 per ton of sugar to be transported
Total Cost = Price per ton of sugar * # of tons + total cost to rent trucks
C(s) = $250s + $5,500
For 14 tons of sugar the total cost would be:
C(s) = $250(14 tons) + $5,500
C(s) = $9,000
Total cost to transport 14 tons of sugar would cost $9,000
Which inequality represents all numbers x on a number line that are farther from −8 than from −4?
Answers
Answer:
x - 8>-4-x
Step-by-step explanation:
Looking at x - 8>-4-x
Collect the like terms;
x+x > -4 + 8
2x < 4
x > 4/2
x < 2
Since the values of x are greater than 2,this shows that they are positive values and will be farther from -8 than -4
Rewrite log(8)-log(2) in form log(c)
Answers
Answer:
log(4).
Step-by-step explanation:
By the law of logarithms:
log(8) - log(2)
= log(8/2)
= log(4).
[tex]4 \sqrt{(3x}^{3} [/tex]
write in exponential form
Answers
Answer:
[tex]4(3x)^{\frac{3}{2} }[/tex]
Step-by-step explanation:
hope that helps
Find the vertex of the graphed function.
16= \x - 4 +3
2
The vertex is at
Answers
Answer:
16=/-4+3+2
16=/-1jhcdf why
hyee852iok
Gopi paid 25% of his salary as tax and spent of his salary on groceries. The remaining amount of Rs.2500 was his savings. Find his salary and the tax amount paid.
Answers
Answer:
his salary is rs 6000 & his tax amount is rs 1500 :)
Answer:
6000,1500
Step-by-step explanation:
Let Gopi's salary be 'x'
He paid 25% of his salary as tax. = 25% of x = 25x/100 = x/4
He spent 1/3 of his salary on groceries = x/3
Getting his salary:-
x-x/3-x/4=2500
(12x-4x-3x)/12=2500
5x/12=2500
x=
(2500x12)/5
x=500x12=6000
Tax amount:-
6000x25/100=1500
which will result in a perfect square trimonial
Answers
Answer:
No choices listed.
Step-by-step explanation:
How many-foot pieces of wood
can you cut from a board that is
6 feet long?
Answers
Answer:
6
Step-by-step explanation:
Foot long = 1 foot
6 / 1 = 6 foot pieces
If the entire board is 6 feet long and you wanted to cut it into 1 foot intervals, you would do 6/1 and get 6
An angle measures 104° more than the measure of its supplementary angle. What is the measure of each angle?
___° and ___°
thank you <3 best answer will get brainliest.
Answers
Mark Brainliest please
Answer:
38 degrees
Step-by-step explanation:
Let the angle be x
Supplement:: 180-x
Equation:
x = 180-x + 104
2x = 284
x = 142 degrees
therefore , 180-x = 180-142= 38 degrees
Can you figure out what the area of this shape is?
Answers
Answer:
22 units
Step-by-step explanation:
split it into 3 sections, there are two sections of 2x3 and one of 1x10, together they make 22 units
Find all the roots of the given function on the given interval. Use pre-liminary analysis and graphing to find good initial approximations.
f(x) = cos (4x) - 4x2 + 9x
Answers
Answer:
The roots for [tex]f(x) = \cos 4x - 4\cdot x^{2} + 9\cdot x[/tex] are [tex]x_{1} = -0.098[/tex] and [tex]x_{2} = 2.166[/tex], respectively.
Step-by-step explanation:
A root is a value of [tex]x[/tex] so that [tex]f(x) = 0[/tex]. Let suppose that function is the consequence of the subtraction between two functions, that is:
[tex]f(x) = g(x) - h(x)[/tex] (1)
If we know that [tex]f(x) = 0[/tex], [tex]g(x) = \cos 4 x[/tex] and [tex]h(x) = 4\cdot x^{2}-9\cdot x[/tex], then we have the following identity:
[tex]g(x) = h(x)[/tex]
We can estimate graphically the roots of [tex]f(x)[/tex] by graphing the following system:
[tex]y = \cos 4x[/tex] (2)
[tex]y = 4\cdot x^{2}-9\cdot x[/tex] (3)
Where roots are the points in which functions find each other.
With the help of a graphing, we estimate two solutions:
[tex](x_{1}, y_{1}) = (-0.098, 0.924)[/tex], [tex](x_{2}, y_{2}) = (2.166, -0.725)[/tex]
A basketball team recently scored a total of 94 points on a combination of 2-point field goals, 3-point field goals, and 1-point foul shots. Altogether, the team made 52 baskets and 11 more 2-pointers than foul shots. How many shots of each kind were made?
Answers
Answer:
The team converted 7 3-point shots, 28 2-point shots, and 17 foul shots.
Step-by-step explanation:
Since a basketball team recently scored a total of 94 points on a combination of 2-point field goals, 3-point field goals, and 1-point foul shots, and altogether, the team made 52 baskets and 11 more 2-pointers than foul shots, to determine how many shots of each kind were made, the following calculations must be performed:
19 x 3 + 22 x 2 + 11 x 1 = 57 + 44 + 11 = 112
9 x 3 + 27 x 2 + 16 x 1 = 27 + 54 + 16 = 97
7 x 3 + 28 x 2 + 17 x 1 = 21 + 56 + 17 = 94
Therefore, the team converted 7 3-point shots, 28 2-point shots, and 17 foul shots.
SOMEONE HELP ME PLEASE
The XYZ Car Rental Agency charges a flat rate of $29 per day plus $0.32 per mile driven. Write an algebraic expression for the rental cost of a car for x days that is driven y miles.
Answers
Answer:
Total Cost = 29x + 0.32y
Step-by-step explanation:
It is 29x since you pay $29 per day, and x represents the number of days.
It is 0.32y since you pay $0.32 per mile, and y represents the number of miles.
use the following picture to classify the following statements as true or false
Answers
BC ≈ EF
BAC ≈ EDF
ABC ≈ DEF by ASA
AC ≈ DF
Not True:
ABC ≈ FDE
ABC ≈ DEF by AAS
Find the equation of a line that contains the points (0,0) and (6,−7). Write the equation in slope-intercept form, using fractions when required.
Answers
Use the slope formula below:
[tex] \large \boxed{m = \frac{y_2 - y_1}{x_2 - x_1} }[/tex]
To form an equation of a line - we need to find a slope and the y-intercept from y = mx+b. We are given two points which we can substitute in the formula.
[tex] \large{m = \frac{0 - ( - 7)}{0 - 6} } \\ \large{m = \frac{0 + 7}{ - 6} \longrightarrow \frac{7}{ - 6} } \\ \large \boxed{m = - \frac{7}{6} }[/tex]
We have finally got the slope. Next is to find the y-intercept. First we rewrite the equation of y = mx+b by substituting the slope.
[tex] \large \boxed{y = mx + b}[/tex]
The equation above is the slope-intercept form. Substitute m = -7/6 in the equation.
[tex] \large{y = - \frac{7}{6} x + b}[/tex]
Since the graph passes through (0,0) which is an origin point. In y = mx+b if the graph passes through origin point, that means the b-value is 0. Therefore:
[tex] \large \boxed{y = - \frac{7}{6} + 0 \longrightarrow y = - \frac{7}{6} x}[/tex]
Answer
y = -7x/6Hope this helps and let me know if you have any doubts! Good luck on your assignment!
Which equation represents the slope-intercept form of the line below?
y-intercept = (0,-6)
slope = -5
O A. y = -6x + 5
O B. y = -5x - 6
O C. y = -5x + 6
D. y = -6x-5
Answers
Hi there!
»»————- ★ ————-««
I believe your answer is:
Option B: [tex]y=-5x-6[/tex]
»»————- ★ ————-««
Here’s why:
Recall that the slope intercept form of a equation for a line is:⸻⸻⸻⸻
[tex]\boxed{\text{Slope-Intercept Form:}}\\\\------------\\y=mx+b\\\\\boxed{\text{\underline{Key}}}\\\\\rightarrow\text{m - slope}\\\\\rightarrow\text{b - y-intercept}[/tex]
⸻⸻⸻⸻
We are given the information of:
The slope, which is -5.The y-intercept, which is (0, -6).⸻⸻⸻⸻
[tex]\boxed{\text{Replace The Variables with The Appropriate Values:}}\\\\y=mx+b\\\\\rightarrow\text{-5 would replace 'm', -6 would replace 'b'.}\\\\\text{\underline{Therefore:}}\\\\y=mx+b\rightarrow\boxed{y=-5x-6}[/tex]
⸻⸻⸻⸻
Option B should be the correct answer.
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
WILL MARK BRAINLIEST
Answers
Answer:
25.12 cm
Step-by-step explanation:
circumference= 2pi*r
3.14x8x2= 50.24
50.24/2= 25.12 cm
Or you could have just done 3.14 x8 which equals 25.12 as well
A
Please help me I need to solve for x.
Answers
12x-4=0.5(22x+6)
12x-4=11x+3
-11x -11x
x=7
Explanation: use the tangent-chord angle theorem.
pls help me out in this assignment PLSSSSS anyone plss
Answers
Answer:
what number?
number three or number two
seven more than the quotient of a number and 2 is equal to 3 equation
Answers
Answer:
Step-by-step explanation:
seven more than the quotient of a number and 2 is 10
7+n/2=10 n=6 check 7+3=10 ok
Match each three dimensional figure to its volume based on the given dimensions.
Answers
please attach a diagram
Assume that Y is normally distributed with mean μ and standard deviation σ. After observing a value of Y, a mathematician will construct a rectangle with length L = |Y|and width W = 3 |Y|. Let A denote the area of the resulting rectangle. What is E(A)?
Answers
Given the logistic model f(x)= 800/1+19e^-0.402x
what is the initial value? Round your answer to the nearest whole number.
Answers
9514 1404 393
Answer:
40
Step-by-step explanation:
The "initial value" is the value when x=0.
[tex]f(x)=\dfrac{800}{1+19e^{-0.402x}}\\\\f(0) =\dfrac{800}{1+19e^0}=\dfrac{800}{1+19}=\dfrac{800}{20}\\\\=\boxed{40}[/tex]
The initial value is 40.
A coin is flipped 8 times. Find the probability of the event:
exactly 6 heads
Answers
Answer:
P(E)=56256=732. Step-by-step explanation:
Thus, the probability of getting exactly 3 heads when a coin is flipped 8 times in a row
Actividad N°2: Marque la alternativa correcta en la siguiente pregunta.
Sea una función tal que () = 7 − 3 cuyo dominio es el conjunto () =
{−1, 0, 1, 2, 3}, entonces el () es:
5 PUNTOS
A) () = {−2, 1, 4, 7, 10}
B) () = {−1, 0, 1, 2, 3}
C) () = {4, 7, 10, 13, 16}
D) () = {1, 2, 3, 4, 5}
E) () = {−16, −13, −10, −7, −4}
Answers
Answer:
Hola busco amigos
Perdí mi otra cuenta
Ayúdame y te ayudo con tus tareas
¿ si?
Step-by-step explanation:
What is the common ratio for the geometric sequence below, written as a fraction?
768, 480, 300, 187.5, …
/
Answers
9514 1404 393
Answer:
5/8
Step-by-step explanation:
Since the ratio is common, it can be found from the ratio of any pair of adjacent terms.
r = 480/768 = (5·96)/(8·96) = 5/8
The common ratio is 5/8.
3.
Use the concept of a series to sum up 0.315+0.000315+0.000000315+.... Give your final answer
in reduced fraction form. Note: There are several methods to prove this fact. I am specifically asking
you to use a series.
Answers
Dividing each term in the given series by 0.315 reveals a simple geometric sum,
0.315 (1 + 1/1,000 + 1/1,000,000 + …)
or
0.315 (1 + 1/10³ + 1/10⁶ + …)
or
[tex]\displaystyle 0.315 \sum_{n=0}^\infty \frac1{10^{3n}} = 0.315 \sum_{n=0}^\infty \frac1{1000^n}[/tex]
i.e. a geometric sum with a common ratio of 1/1,000. I'm not sure what your instructor expects exactly, but you may already know that
[tex]\displaystyle a\sum_{n=0}^\infty r^n = \frac a{1-r}[/tex]
if |r | < 1. This is the case here, so
0.315 (1 + 1/1,000 + 1/1,000,000 + …) = 0.315 / (1 - 1/1,000)
… = (315/1000) / (999/1000)
… = 315/999
… = 35/111
WILL GIVE BRAINLIEST
4
3
2x + 4
x+7
Answers
Answer:
x = 8
Step-by-step explanation:
[tex]\frac{x+7}{3} =\frac{2x+4}{4}[/tex]
do cross multiplication
[tex]3(2x+4) = 4(x+7)\\6x + 12 = 4x + 28\\6x - 4x = 12 - 16\\2x = 16\\x = 16/2\\x = 8[/tex]
Which points are on the graph of the function rule f(x) = 10 - 4x
Answers
Explanation:
Charlene paid $1540.77 (including sales tax) for a microscope. The sales tax in her state is 7%.
What was the price of the microscope before the sales tax was added?
Answers
Answer:
1,439.97
Step-by-step explanation:
Price x 1.07 = price including sales tax
price x 1.07=1540.77
price=1540.77/1.07
price= 1439.97
The price of the microscope before the sales tax was added when calculated is; $1439.97
How to solve algebra problems?
We are told that Charlene paid $1540.77 (including sales tax) for a microscope. Thus, the price before sales tax can be gotten from the formula;
Price before sales tax × 1.07 = Price including sales tax
Thus, plugging in the relevant values;
Price before sales tax × 1.07 = 1540.77
Price before sales tax = 1540.77/1.07
Price before sales tax = $1439.97
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