18
Step-by-step explanation:
hduduxjajahxhuddixisuduvic
If f (x)
6x – 6 , find f (-1)
Answer:
-12
Step-by-step explanation:
f (x)=6x – 6
Let x= -1
f(-1) = 6(-1) -6
= -6-6
= -12
The monthly cost of driving a car depends on the number of miles driven. Lynn found that in May it cost her $420 to drive 500 mi and in June it cost her $444 to drive 620 mi. (a) Express the monthly cost C as a function of the distance driven d, assuming that a linear relationship gives a suitable model. C(d)
Answer:
[tex]C(d) = \frac{1}{5}d + 320[/tex]
Step-by-step explanation:
Given
[tex]d \to miles[/tex]
[tex]C \to cost[/tex]
So:
[tex](d_1,C_1) = (500,420)[/tex] --- May
[tex](d_2,C_2) = (620,444)[/tex] --- June
Required
Express as a function
Start by calculating the slope (m)
[tex]m = \frac{\triangle C}{\triangle d}[/tex]
[tex]m = \frac{444-420}{620-500}[/tex]
[tex]m = \frac{24}{120}[/tex]
Simplify
[tex]m = \frac{1}{5}[/tex]
The equation is:
[tex]C(d) = m(d - d_1) +C_1[/tex]
[tex]C(d) = \frac{1}{5}(d - 500) +420[/tex]
[tex]C(d) = \frac{1}{5}d - 100 +420[/tex]
Take LCM
[tex]C(d) = \frac{1}{5}d + 320[/tex]
What is the total surface area of a rectangular prism box that measures 5 feet by 1 foot by 1 foot
Answer:
22 ft²
Step-by-step explanation:
SA = 2(5 x 1) + 2 ( 5 x 1 ) + 2 (1x1)
SA = 20 + 2 = 22
If my answer is incorrect, pls correct me!
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-Chetan K
find the absolute maximum and the absolute minimum of the given function on the given interval f(x)=xe^x/2 on [-3,1]
Answer:
View the graph for a visual
Step-by-step explanation:
Answer:
Step-by-step explanation:
[tex]f(x)=xe^{\frac{x}{2} } \\f'(x)=x*\frac{1}{2} e^{\frac{x}{2} } +e^{\frac{x}{2} } =e^{\frac{x}{2} } (\frac{x}{2} +1)\\[/tex]
f'(x)=0, gives x=-2
we find f(x) at x=-3,-2,1
f(-3)=-3e^(-3/2)≈-0.67
f(-2)=-2e^(-2/2)=-2e^{-1}=-2/e≈-0.74
f(1)=1 e^(1/2)=√e≈1.65
At a basketball game, a vender sold a combined total of 200 sodas and hot dogs. The number of sodas sold was three times the number of hot dogs sold. Find the number of sodas and the number of hot dogs sold.
Answer:
50 hot dogs
150 sodas
Step-by-step explanation:
set up a system of equations where 'h' = # hot dogs sold and '3h' = # sodas sold
h + s = 200
s = 3h
h + 3h = 200
4h = 200
h = 50
s = 200-50 or 150
On a coordinate plane, a trapezoid has points H prime (negative 3, negative 2), J prime (negative 2, negative 3), K prime (negative 3, negative 4), G prime (negative 5, negative 2).
Trapezoid GHJK was rotated 180° about the origin to determine the location of G'H'J'K', as shown on the graph. What are the coordinates of pre-image point H?
(2, 3)
(–2, 3)
(3, 2)
(3, –2)On a coordinate plane, a trapezoid has points H prime (negative 3, negative 2), J prime (negative 2, negative 3), K prime (negative 3, negative 4), G prime (negative 5, negative 2).
Trapezoid GHJK was rotated 180° about the origin to determine the location of G'H'J'K', as shown on the graph. What are the coordinates of pre-image point H?
(2, 3)
(–2, 3)
(3, 2)
(3, –2)
Answer:
the coordinates of pre - image point H is (3,2)
Answer:
c time for learning
Step-by-step explanation:
Find the distance between the two points in simplest radical form HELP
Given:
The two points on the graph.
To find:
The distance between the two points in simplest radical form.
Solution:
From the given graph, it is clear that the two points on the graph are (-9,3) and (-3,-2).
Distance formula:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Using the distance formula, the distance between two points (-9,3) and (-3,-2) is:
[tex]d=\sqrt{(-3-(-9))^2+(-2-3)^2}[/tex]
[tex]d=\sqrt{(-3+9)^2+(-5)^2}[/tex]
[tex]d=\sqrt{(6)^2+(-5)^2}[/tex]
On further simplification, we get
[tex]d=\sqrt{36+25}[/tex]
[tex]d=\sqrt{61}[/tex]
Therefore, the distance between the given points is [tex]\sqrt{61}[/tex] units.
Identify the relationship between the graphs of these two equations. y = 5/6x + 5 y = 5/6x - 1
parallel
perpendicular
neither
Answer:
parallel
Step-by-step explanation:
the slope of each line is 5/6 which means the lines are parallel
Marty decided he wants to run a 5K race. He is starting by running 1 3/4km and adding 1/2km each day. How many days will it take him to reach his goal?
Answer:
2day I think might not be right
The number of days it will take him to reach his goal is 6.5 days.
Given that, Marty decided he wants to run a 5 km race.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Let the number of days be x.
He is starting by running [tex]1\frac{3}{4} =\frac{7}{4}[/tex] km and adding 1/2km each day.
Now, 7/4 +1/2 x= 5
⇒ 1/2 x= 5-7/4
⇒ 1/2 x=13/4
⇒ x=6.5 days
Therefore, the number of days it will take him to reach his goal is 6.5 days.
To learn more about an equation visit:
https://brainly.com/question/14686792.
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g(x) = x2 – 2 (a) Identify the parent function f.
Answer:g(x) is flipped and 2 times as steep and shifted left 5
Step-by-step explanation:
SOMEONE PLEASE HELP! I don’t know how to do this !
9514 1404 393
Answer:
136
Step-by-step explanation:
The x-value at one end of the beam will be where f(x) = 0.
0 = -x²/272 +17
x² = 17(272) = 4624
x = ±√4624 = ±68
The beam extends from x=-68 to x=68, so has a width of ...
68 -(-68) = 136
__
Note that the x in the equation for f(x) is not the same as the x in the picture corresponding to width.
i don't understand how to add the fractions
Answer:
5/4 or
1 and 1/4
Step-by-step explanation:
1/2 + 3/4 =
1 × 2
2 × 2 + 3/4
=
2/4 + 3/4
=
2 + 3
----------
4
so
5/4 or
1 and 1/4
Write each as the sum of two terms, each
in the form tn,r.
a) t19,11
b) t25,16
c) t14,7
9514 1404 393
Answer:
a) t18,10 + t18,11
b) t24,15 + t24,16
c) t13,6 +t13,7
Step-by-step explanation:
Each term of Pascal's triangle is the sum of the two terms above it in the triangle:
tn,r = t(n-1),(r-1) +t(n-1),r
__
a) t19, 11 = t18,10 + t18,11
b) t25,16 = t24,15 + t24,16
c) t14,7 = t13,6 +t13,7
d. The equation of a line is y+6=-9(x - 1). The slope of the line is and the y-intercept is A point on the line is
Answer: The equation of a line is y+6=-9(x-1). The slope of the line is -9 and the y-intercept is 3. A point on the line is (0, 3)
Step-by-step explanation:
Let's start by putting it in slope intercept form.
First use the distributive property
[tex]y+6=-9(x-1)\\y+6=(-9)(x)+(-9)(-1)\\y+6=-9x+9[/tex]
Now subtract 6 from both sides
[tex]y+6-6=-9x+9-6\\y=-9x+3[/tex]
Now it is in slope intercept form (y=mx+b)
In slope intercept form the slope of the line is the value m. In our equation the value m is -9 making that our slope.
In slope intercept form the y-intercept of the line is b. In our equation the value of b is 3 making that our y-intercept.
To find a point on the line we can sub x with any number to find the y so that we can find the coordinate.
[tex]y=-9(0)+3\\y=0+3\\y=3[/tex]
A point on the line is (0, 3)
4 + 9x + 8 + 3x + 5 + 2
Simplify the expression by combining the like terms
Answer:
12x+19
Step-by-step explanation:
First you would find the like terms. There is 9x and 3x, and 5, 2, 4, and 8. If you combine 9x and 3x, you get 12x, and if you combine 5, 2, 4, and 8, you get 19. You then combine your two answers to get 12x+19.
Answer:
12x + 19
Step-by-step explanation:
Add the exponents and then add the numbers.
Write the following expression in standard place-value form.
Answer:
3408
Step-by-step explanation:
Simplify the expression below
Answer:
[tex]3\sqrt{10}[/tex]
Step-by-step explanation:
please, this is the last time I'm asking, just help me with the Volume.
Answer: 4374
Step-by-step explanation:
A three-layer chocolate cake costs $24 and serves 16 . What is the cost per slice?
Hi there!
»»————- ★ ————-««
I believe your answer is:
$1.50
»»————- ★ ————-««
Here’s why:
Assuming that the cake has one slice per person (16 slices):
⸻⸻⸻⸻
[tex]\frac{\text{price}}{\text{slice}}\\\\\rightarrow \frac{24}{16}\\\\\rightarrow \boxed{1.50}[/tex]
⸻⸻⸻⸻
Each slice should cost $1.50.
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
Solve the equation using the distributive property and properties of equality
3(x+6) = 18
What is the value of x?
6
7 1/2
14 1/2
30
Answer:
0
Step-by-step explanation:
3(x+6)=18
3x+18=18
3x=18-18
3x=0
3x/3=0/3
x =0
NO LINKS NO FILES. After you add 3 to both sides of the equation 27 = m/6 - 3, what should you do next?
Answer:
Multiply each side by 6
Step-by-step explanation:
27 = m/6 - 3
Add 3 to each side
27+3 = m/6 - 3+3
30 = m/6
Multiply each side by 6
30*6 = m/6*6
180 = m
Find the area of the triangle.
18 in.
25 in.
Answer:
225in
Step-by-step explanation:
REFERENCE: LESSON 8 TO 12.
1.
Simplify the ratios 52 : 39
(1 mark)
Answer:
2.
Simplify 4/16:23
(1 mark)
Answer:
(1 mark)
3.
Express the ratio 8 : 56 in the form 1:n
Answer:
(1 mark)
4.
Solve for the unknown in the given proportion.
Answer:
(1 mark)
5.
Express the ratio 40 cm: 5 m in the form m:n.
Answer:
Answer:
Step-by-step explanation:
1. 52:39
Divide both sides by 13:
= 4:3.
2. 4/16 : 23
= 1/4 : 23
= 1 :92.
3. 8:56
= 1:7.
4. ?
5. 40 cm 5 m
= 40 : 500
= 4:50
= 2:25.
ILL GIVE YOU BRAINLIEST IF YOU GET IT RIGHT AND EXPLAIN A circular walkway surrounds a fountain.The fountain alone has a diameter of 16 feet.The walkway adds an additional 4 feet to each side. What is the area of the walkway minus the area of the fountain. Use 3.14 for Pi.
Answer:
Step-by-step explanation:
[tex]A_{circle}=\pi r^2\\\\A=\pi r_{walkway}^2-\pi r_{fountain}^2\\\\A=\pi(20^2-16^2)=244\pi[/tex]
use a calculator fo find the value
Answer:
a = 452.16 ft² area of walkway
a = -351.68 ft² area of the walkway minus the area of the fountain
Step-by-step explanation:
Area fountain
a = π16²
a = 256π
Area fountain and walkway
a = π(16 + 4)²
a = π20²
a = 400π
Area Walkway
a =400π - 256π
a = 144π
a = 144 * 3.14
a = 452.16 ft²
------------------------------
I think the Area of the Walkway is what the question should be asking for, but it asked for
"the area of the walkway minus the area of the fountain"
a = 144π - 256π
a = -112π
a = -112 * 3.14
a = -351.68
Free Branliest Quick and Correct!
Please help!!! Urgent ….
9514 1404 393
Answer:
ΔWZT ~ ΔWXY
Step-by-step explanation:
Angle XWY and angle ZWT are vertical angles, so congruent.
The sides on either side of those angles are proportional:
WZ/WX = WT/WY
11/22 = 10/20 = 1/2
so, we can claim similarity by the SAS Theorem.
ΔWZT ~ ΔWXY
why is the mean of the set of data is always greater than it's median?
Answer:
One of the basic tenets of statistics that every student learns in about the second week of intro stats is that in a skewed distribution, the mean is closer to the tail in a skewed distribution. So in a right skewed distribution (the tail points right on the number line), the mean is higher than the median.
Step-by-step explanation:
The distribution is said to be right-skewed. In such a distribution, usually (but not always) the mean is greater than the median, or equivalently, the mean is greater than the mode; in which case the skewness is greater than zero.
Roulette is a casino game that involves spinning a ball on a wheel that is marked with numbered squares that are red, black, or green. Half of the numbers 1 - 36 are colored red and half are black and the numbers 0 and 00 are green. Each number occurs only once on the wheel. What is the probability of landing on an number greater than 12?
Answer:
.6315 or 63.15%
Step-by-step explanation:
not sure if the question is trying to be tricky, but there are 0 and 00 which makes a total of 38 numbers on the wheel (and they are less than 12)
24/38 = .6315
Complete the input-output table for the function y = 3x.
Input-Output table
Answer:
Y: 0, x:0
Y:1, x: 3
Y: 2, x: 6
Y: 3, x:9
Step-by-step explanation:
Plug in the x to get the y
will mark as brainliest!
y=acos(b(x-c))+d
give an explanation for how each letter a, b, c and d are shown in the graph compared to y=cosx