The table represents the exponential function g(x) . The graph represents the function f(x).
x g(x)
0 3
1 4
2 6
3 10
4 18
Which statement about the functions is true?
The y-intercept of g(x) is greater than the y-intercept of f(x).
The y-intercept of f(x) is greater than the y-intercept of g(x).
f(x) and g(x) share an x-intercept.
f(x) and g(x) have the same y-intercept.
Answers
The statement about both functions that is true is: B. The y-intercept of f(x) is greater than the y-intercept of g(x).
What is the Y-intercept of a Function?The y-intercept of a function is the output value (y) of the function when the input value (x) is zero. On a graph, it would be the value of y-coordinate of the point where the line cut across the y-axis.
From the table given for function g, the value of y when x is zero is 3. The y-intercept for g(x) is 3.
From the graph given for function f, the value of the point at which the line intercepts the y-axis is 6. Therefore, the y-intercept for f(x) is 6.
Therefore, the statement about both functions that is true is: B. The y-intercept of f(x) is greater than the y-intercept of g(x).
Learn more about the y-intercept of a function on:
https://brainly.com/question/22045441
Related Questions
PLS HELP ME 50 POINTS AND I WILL MARK THE BRAINLIEST
Answers
Answer:
1. 392 in², 2. 94.99 cm², 3. 145.2 ft², 4. 161.5 m², 5. 17 ft and 81 cm
Step-by-step explanation:
1. A = 16 x 19
A = 304
A = 1/2(11x16)
A = 1/2(176)
A = 88
304 + 88 = 392 in²
2. A = πr²
A = 3.14*5.5²
A = 3.14*30.25
A = 94.985
A = 94.99 cm²
3. A = 1/2(bh)
A = 1/2(11x26.4)
A = 1/2(290.4)
A = 145.2 ft²
4. A = bh
A = 9.5*17
A = 161.5 m²
5. part 1
A = (1/2) · (p + q) · h
112 = (1/2)(11+q)(8)
112 = 4(11+q)
112 = 44 + 4q
68 = 4q
17 = q
17 ft
5. part 2
A = lw
364.5 = 27w
13.5 = w
P = 2l + 2w
P = 2(27) + 2(13.5)
P = 54 + 27
P = 81
81 cm
Hope this helps :)
Mr. Garcia has 15 boys and 10 girls in his math class. He selects wo students at random to demonstrate how they solved the day's challenge assignment What is the probability that both students are girls?
Answers
Step-by-step explanation:
Question 1-3
The graph below shows a function that represents the weekly earnings, in dollars, for a company that makes x sets of headphones per week.
7,0001
6,000
5,000
4,000
Earnings (5)
3,000
2,000
1,000
0 1,000 2,000 3,000 4,000 5,000 6,000
Number of Headphones Made per Week
Based on this model, which statements are true? Choose ALL that are correct.
When producing 5,000 sets of headphones per week, the weekly earnings is $0.
If production is increased from 3,000 to 4,000 sets of headphones per week, then the weekly earnings will also increa
Producing 2,500 sets of headphones per week will give the maximum amount of weekly earnings.
The maximum possible earnings is about $6,250 per week.
If production is increased from 1,500 to 2,000 sets of headphones per week, then the weekly earnings will also increa
Answers
The production graph of the company is a quadratic graph
The true statements about the production graph are:
When producing 5,000 sets of headphones per week, the weekly earnings is $0.Producing 2,500 sets of headphones per week will give the maximum amount of weekly earnings.The maximum possible earnings is about $6,250 per week.If production is increased from 1,500 to 2,000 sets of headphones per week, then the weekly earnings will also increaseHow to interpret the model?To interpret the model, we simply evaluate the options one after the other
Producing 5000 sets weekly
From the graph, we have:
(x,y) = (5000,0)
This means that a weekly production of 5,000 sets of headphones give an earning of $0.
Hence, this option is true
Increased production from 3000 to 4000
From the graph, the function value decreases when x increases from 3000 to 4000.
This means that this option is false
Producing 2500 sets
The production of 2500 sets give a maximum earning of $6250
This means that options (c) and (d) are true
Increased production from 1500 to 2000
From the graph, the function value increases when x increases from 1500 to 2000.
This means that this option is true
Hence, the true statements are: (a), (c), (d) and (e)
Read more about quadratic graphs at:
https://brainly.com/question/7988424
How do you write 1.27 repeating as a fraction
btw the repeating part is 7
Answers
Answer:
1 27/100
Step-by-step explanation:
Pls pls pla help it lol
Answers
i need help with the second part of the question please helppp!!! will give brainliset
Answers
Answer:
$79.99
Correct method:
[tex]\rightarrow \sf 5(r-14.5)=327.45[/tex]
[tex]\rightarrow \sf 5r-72.5=327.45[/tex]
[tex]\rightarrow \sf 5r=327.45+72.5[/tex]
[tex]\rightarrow \sf 5r=399.95[/tex]
[tex]\rightarrow \sf r=\dfrac{399.95}{5}[/tex]
[tex]\rightarrow \sf r=79.99[/tex]
The regular price is $79.99
Answer:
$79.99
Step-by-step explanation:
The error is in step 3. He needed to ADD 72.50 to both sides of the equation. Instead, he added 72.50 to the left side and subtracted 72.50 from the right side.
Correction calculation
5(r - 14.50) = 327.45
5r - 72.50 = 327.45
5r = 399.95
r = 79.99
The regular price is $79.99
A plane flies 100km north and then flies 400km south, what is its new position?
Answers
Answer:
300km south
Step-by-step explanation:
Go up once from original position then down four times
Consider the incomplete paragraph proof.
Given: P is a point on the perpendicular bisector, l, of MN.
Prove: PM = PN
Line l is a perpendicular bisector of line segment M N. It intersects line segment M N at point Q. Line l also contains point P.
Because of the unique line postulate, we can draw unique line segment PM. Using the definition of reflection, PM can be reflected over line l. By the definition of reflection, point P is the image of itself and point N is the image of ________. Because reflections preserve length, PM = PN.
point M
point Q
segment PM
segment QM
Answers
Answer: point M
Step-by-step explanation:
Answer: point M
i took the test
Solve 12x + 6 > 9x+ 12.
O A. x26
O B. X22
x2
O c. xs 2
O D. x56
Answers
100 points and brainliest if u answer this right
Consider this dilation
(a) Is the image of the dilation a reduction or an enlargement of the original figure? Explain.
(b) What is the scale factor? Explain.
Answers
Answer:
a) Enklargement, b) k = 2Step-by-step explanation:
a)
The original figure is ABC and the image is A'B'C'.
We can see the image is larger than the original figure.
It indicates that the dilation is an enlargement.
b)
Find the ratio of corresponding sides to find the scale factor.
First get the measure of corresponding line segments.
AC = 2 - (-2) = 4A'C' = 5 - (-3) = 8The scale factor is:
k = A'C'/AC = 8/4 = 2#1
Enlargement#2
Take two sides of both
BC=|-3-1|=4unitsB'C'=|-3-5|=8unitsScale factor:-
k=8/4=2A bag contains 9 tiles, each with a different number from 1 to 9. You choose a tile without looking, put it aside, choose a second tile without looking, put it aside, then choose a third tile without looking. In how many different ways can you choose three tiles
Answers
Using the combination formula, it is found that there are 84 ways to choose the three tiles.
The order in which the tiles are chosen is not important, hence the combination formula is used to solve this question.
What is the combination formula?[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by:
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
In this problem, three tiles are chosen from a set of nine, hence:
[tex]C_{9,3} = \frac{9!}{3!6!} = 84[/tex]
There are 84 ways to choose the three tiles.
More can be learned about the combination formula at https://brainly.com/question/25821700
Write an exponential function for the graph
A. Y=0.5(2)x
B. Y=2(0.5)x
C. Y=(2•0.5)x
D. Y=2(5)x
Answers
Answer: c
Step-by-step explanation: Simple addition with decimals.
Evaluate expression if a = 2.
a² - 5a - 6
Answers
Answer:
-12.
Step-by-step explanation:
a^2 - 5a - 6
When a = 2 we have
2^2 - 5(2) - 6
= 4 - 10 - 6
= -12.
Answer:
Step-by-step explanation:
a²- 5a - 6
Substitute a for 2
(2)² - 5(2) - 6
Solve.
4 - 10 - 6 = -12
If a = 2, a²- 5a - 6 equals -12
find the value of x, round to the nearest 10th
I will give brainliest
Answers
ACB + 37 = 90
ACB = 53
Tan (53) = 10/x
X= 7.536
(Hope this helped have a great day)
Help
Arc JK = ______°Arc
M<1 = ______°
Answers
Answer:
Step-by-step explanation:
Find the circumference and the area of a circle with radius 4 ft
Answers
Answer:
C≈25.13ft
Step-by-step explanation:
C=2πr=2·π·4≈25.13274ft
Find the derivative of tan(x).
Answers
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
Derivative of tan(x) is sec²x
[tex]\qquad \sf \dashrightarrow \: \therefore \dfrac{d}{dx} ( \tan(x)) = { \sec}^{2} (x)[/tex]
You can check the first principle method of derivation in attachment
[tex]\rightarrow \sf \dfrac{d}{dx} (tan(x))[/tex]
[tex]\rightarrow \sf \dfrac{d}{dx} ( \ \dfrac{sin(x)}{cos(x)} \ )[/tex]
use the quotient rule
[tex]\rightarrow \sf \dfrac{cos(x) * \dfrac{d}{dx} (sin(x)-sin(x)*\dfrac{d}{dx}(cos(x) }{cos(x)^2}[/tex]
[tex]\rightarrow \sf \dfrac{cos(x) * cos(x)-sin(x)*(-sin(x) )}{cos(x)^2}[/tex]
[tex]\rightarrow \sf \dfrac{cos(x)^2+sin(x)^2}{cos(x)^2}[/tex]
[tex]\rightarrow \sf \dfrac{1}{cos(x)^2}[/tex]
[tex]\rightarrow \sf sec(x)^2[/tex]
used formula's :
cos²(x) + sin²(x) = 1[tex]\sf \dfrac{1}{cos^2(x) }= sec^2(x)[/tex][tex]\sf \frac{d}{dx}[/tex] cos(x) = -sin(x)[tex]\sf \frac{d}{dx}[/tex] sin(x) = cos(x)tan(x) = sin(x)/cos(x)34,678 rounded to the nearest hundred.
Answers
Answer:
34,700.
Step-by-step explanation:
The tens digit is 7 so we round up the 6 ( which is the hundreds digit) and the tens and units go to zeros.
Answer:
34,700
Step-by-step explanation:
34,678
3 is in the ten thousands place
4 is in the thousands place
6 is in the hundreds place
7 is in the tens place
8 is in the ones place
When rounding, you look at the next number to the right. If anything that ranges from 5–9 is rounded up, and anything that ranges from 1–4 is rounded down.
So, 6 is next to 7, which is in the 5–9 range, which means it is rounded up.
400, 500, 600, 700
As you can see, the nearest hundred is 700
Our answer would be 34,700
Hope this helps!
Sectionalism:Question 10
What was the main reason that most northerners were opposed to the
new Fugitive Slave Act created by the Compromise of 1850?
Answers
Answer:
They felt it gave the commissioners too much power and was unfair to slaves by giving them a trail without injury
The decimal value of 5/8
Answers
0.625
Explanation:
We know that 0.125 is equal to 1/8, so you can then multiply 0.125 by 5.
Dividing 5/8, It's Equal To 0.625
Step-by-step explanation:
5/8 = O.625
Identify the equation in slope-intercept form for the line containing the points
(3,5) and (2,-5)
Choices:
y = 3x − 15
y = 5x − 25
y = 10x − 25
y = 5x + 10
Pls help
Answers
Answer:
Third Option y=10x-25Step-by-step explanation:
Identify the equation in slope-intercept form for the line containing the points
(3,5) and (2,-5)
Choices:
y = 3x − 15
y = 5x − 25
y = 10x − 25
y = 5x + 10
Pls help
Sooo let’s solve this….
Notice the x-axis
Slope Intercept form changes at a constant rate soooo… from (3,5) to (2,-5)
The axis goes left by 1
On A graph the more to the left the smaller number get.
The Y-axis goes down by 10 from the bigger point
But…..
It’s really not going left 1 and 10 down you always start with the smaller point so from
(2,-5) to (3,5) It goes Right 1 and 10 up
Knowing this
Slope Intercept form
Y=mx+b
Where m=slope
b= y-intercept where the line crosses x=0
Our Slope Is 10
Because from -5 to 5 you have to add 10 to get the other value
y=10x+b
But lets just figure out the y-intercept to be sure.
We want the X-axis to be 0 so we will be going left until we get to 0
So We get this point (2,-5)
Knowing that we go up 10 and right 1 to get to the higher value we will do the opposite.
We will go 1 to the left and 10 down
(2,-5)
(1,-15)
(0,-25) As you can see x=0 so the y-intercept will be -25
y=mx+b
m=slope
b= y-intercept
y=10x-25 The Third Option is the Answer….
SonicIsCoool, at your service if you need any help :)
hey who knows this? i need help
Answers
Answer:
I don't see any thing there
Step-by-step explanation:
u need to include the picture
Save my soul!!!!
if you can pIz show me what you did to get answers.
Answers
Answer:
9
41/4
23/2
51/4
14
Step-by-step explanation:
The first term is the first term that is given. Just copy it.
Each next term is the previous term plus the common difference.
First term: a_1 = 9
Second term: a_2 = 9 + 5/4 = 36/4 + 5/4 = 41/4
Third term: a_3 = 41/4 + 5/4 = 46/4 = 23/2
Fourth term: a_4 = 46/4 + 5/4 = 51/4
Fifth term: a_5 = 51/4 + 5/4 = 56/4 = 14
Y^2+8y+2 y=-5 evaluate the expression
Answers
Answer:
the correct answer is shown below
Step-by-step explanation:
hope this helps
have an awesome day -TJ
pls mark brainliest if this helps :)
What is the value of 6(2b-4) when b=5?
Answers
Answer:
Step-by-step explanation:
What is the value of 6(2b-4) when b =5 2. The value of is 36. Step-by-step explanation: Given expression: To find the value of at b= 5, we need to substitute the b=5 in the expression, we get.
can i have brainly please :) thanks bro
Answer: 36
Step-by-step explanation:
J^3 = 0.125 (I don’t understand help me please)
Answers
[tex]~\hspace{7em}\textit{negative exponents} \\\\ a^{-n} \implies \cfrac{1}{a^n} ~\hspace{4.5em} a^n\implies \cfrac{1}{a^{-n}} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ J^3=0.125\implies J^3=\cfrac{0125}{1000}\implies J^3=\cfrac{1}{8}\implies J^3=\cfrac{1}{2^3} \\\\\\ J^3=2^{-3}\implies J^3=(2^{-1})^3\implies J=2^{-1}\implies J=\cfrac{1}{2}[/tex]
(05.02)
A line passes through (2, 8) and (4, 12). Which equation best represents the line?
oy-x+6
=
2
y = 2x + 7
y = 2x + 4
oy-*x+10
=
Answers
Answer:
⊕ y=2x+4
Step-by-step explanation:
1) all the answers are provided in slope-interception form, then
2) the slope of the required line is: (12-8)/(4-2)=2. The required line is like to y=2x+??;
3) if the points (2;8) and (4;12) belong to the line required, then the point (0;4) also belongs to this one. It means, the interception is 4;
4) finally, the line required is y=2x+4.
PS. note, the suggested solution is not the only way.
Which expression is equivalent to 3
5v ?
Answers
Answer:
x ^5/3 y ^1/3 (the second option listed)
Step-by-step explanation:
So without even solving the expression, you can find the correct option. If you're finding the cube root (or really any square root), you know it will be less than your original number (unless you are working with imaginary numbers, but you aren't).
So, if you are finding the cube root of an expression, you're finding the cube root of each number separately.
You wouldn't be cubing y, you would be finding the cube root. You wouldn't be leaving y the same, you are finding the cube root.
This means that without even solving (which I will explain),
the correct option is the second one on the screen.
Here's how to actually solve the equation:
So, if we are finding the cube root of a variable with an exponent, we can divide that exponent by 3 (because it is a cube root).
When we have a square root, you know that we are breaking down each number/variable into an even exponent to solve the expression. When taking the square root of an even exponent, such as 4, you would divide by 2.
This same strategy applies to cube roots. You are dividing the exponent of both variables by 3.
[remember: the exponent of a variable without an exponent is essentially an invisible exponent of 1.]
3 3/4 ÷ (1 2/3 + 2 1/2)
Answers
Answer:
9/10.
Step-by-step explanation:
3 3/4 ÷ (1 2/3 + 2 1/2)
= 3 3/4 / ( 5/3 + 5/2)
= 3 3/4 / ( 10/6 + 15/6)
= 3 3/4 / 25/6
= 15/ 4 / 25/6
= 15/4 * 6/25
= 90/100
= 9/10.
Can someone not just tell me the answer but how to do it pls!!!
Answers
Answer:
B
Step-by-step explanation:
The first step of any problem solution is look at the given information. Here, we are given the equation of a line in (almost) standard form, and we want to match the equation with a graph. We notice that the coefficients of the variables are factors of the constant, so the intercepts are integer values easily found.
We can compare the line's intercepts to those shown on the graphs to choose the correct graph.
x-intercept
The x-intercept is found by setting y=0 and solving for x:
-3x +5(0) = -15
x = -15/-3 = 5
Only one graph shows a line with an x-intercept of (5, 0): graph B.
y-intercept
We can confirm graph B by finding the y-intercept. For this, we set x=0 and solve for y.
-3(0) +5y = -15
y = -15/5 = -3
Graph B also has a y-intercept of (0, -3), confirming it is the correct choice.
_____
Additional comment
Part of "look at the given information" is "look at the answer choices." What you look for is what makes one choice different from the others. Here, the lines have x- and y-intercepts of ±3 and ±5. The y-intercepts are the same for graphs A and B, and for graphs C and D.
However, the x-intercepts are different for all of them. This tells you that finding the x-intercept is the fastest way to find the correct graph.