Which statement correctly compares the function shown on this graph with
the function y = 4x + 2?
8
7
6
5
1
543 2
1 2 3 4
5
A. The function shown on the graph has a greater rate of change, but
a lower starting point.
B. The function shown on the graph has a greater rate of change and
a higher starting point.
C. The function shown on the graph has a smaller rate of change, but
a higher starting point.
Answers
The given highest power of x in the given function, y = 4·x + 2, is 1,
therefore, the graph of the function is a straight line.
The statement that correctly compares the function shown on the graph
with the function; y = 4·x + 2 is; C. The function shown on the graph has a
smaller rate of change but a higher starting point.
Reasons:
The given function is; y = 4·x + 2
Comparing with the equation for a straight line; y = m·x + c, we have;
The rate of change or slope, m = 4
The y-intercept, starting point, c = 2
Two points on the function shown on the graph are; (0, 4), and (-2, -2)
The slope of the given graph is therefore;
[tex]m = \dfrac{4 - (-2)}{0 - (-2) } = \dfrac{6}{2} = 3[/tex]
The rate of change of the graph, m = 3
The equation of the graph is therefore;
y - 4 = 3·(x - 0)
Which gives;
y = 3·x + 4
The y-intercept, starting point of the graph, is therefore, c = 4
Which gives;
The function shown on the graph has a higher starting point but a smaller rate of change than the given function.
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Related Questions
how do you do this, thanks for helping
Answers
Answer:
A: (-7, -4)
B: (-3, 8)
Step-by-step explanation:
Ordered pairs are (x,y).
Count the lines and see:
A is 7 to the left and 4 down so (-7, -4)
B is 3 to the left and 8 up so (-3, 8)
REMEMBER X IS ALWAYS FIRST!!
Does this answer make sense? YES! Because quadrant II all the pairs will be (-#, #) and in quadrant III the pairs will be (-#, -#)
Hope that helps!
If an area of a circle is 65.71cm*2 what is the radius? Round the answer to 2DP.
Answers
Answer:
4.57
Step-by-step explanation:
square root of 65.71 divided by pie
What's the answer guys?
Answers
Answer: 14.4p - 2.2q + 4.3r
Step-by-step explanation:
(8.8p + 5.6p) + (6.2q - 8.4q) + (-1.8r + 6.1r)
= 14.4p - 2.2q + 4.3r
please give me a brainliest answer
A square has a area of 121 square centimeters. what is the length of each side
Answers
Please help! I need help T-T
Answers
Answer:
$130.00
Step-by-step explanation:
674-284=390
390/3=130
what that person said :(
Your classmate says the triangles below are not congruent by SSS. She explains that congruent sides do not correspond explain the error in her reasoning.
Answers
Congruent triangles are triangles with equal corresponding sides.
The triangles are congruent
From the question (see attachment), we have the following observations.
Two corresponding sides are marked with ITwo corresponding sides are marked with IITwo corresponding sides are marked with IIIThe above highlights mean that:
The corresponding sides are congruent by SSS theorem
Hence, your classmate's claim is incorrect.
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Clay gave four friends seven ball cards
each. How many cards did he give to his
friends?
Answers
-x^4+2x^3+8x=0. solve by factoring
Answers
2.93114246
Step-by-step explanation:
solve please :3 will mark brainliest !!
Answers
__________
[tex] \: [/tex]
6f = $15
8f = $20
10f = ?
Soo :
2f = 5
f = 2,5
10f = 10(2,5) = $25✔
The cost of the wire of the third length in the table is, 25 dollars
We have to give that,
The cost of a certain type of wire varies directly with its length.
Now, From the table the equation between cost and length is,
y - 15 = (20 - 15)/(8 - 6) (x - 6)
y - 15 = (5/2) (x - 6)
y - 15 = 2.5x - 15
y = 2.5x
Where y represents the cost and x represent the length.
Hence, At x = 10 feet
y = 2.5 (10)
y = 25 dollars
So, The cost of the wire is, 25 dollars
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The period of the function, y=cos(4x)is how many degrees?
Answers
What is the value of 5+6−32(8÷14)?
Answers
Answer:
-7.3
Step-by-step explanation:
HELP ME ASAP!!!!!!!!!!!!!!!!!
Answers
Answer:
good luck i need to conquer europe
Make y the subject of this equation:
P-3=qy
Answers
Answer: (P - 3)/q = y
Which inequality best represents that icecream at -3⁰C is cooler than icecream at 1⁰C?
Answers
Answer:
Ice cream at -3 c is cooler than 1 C therefore since you are looking to know which one is cooler > would be the best option.
Step-by-step explanation:
Have a wonderful day!
Jon is 3 years younger than Laura. The product of their ages is 1,330. If j represents Jon’s age and represents Laura’s age, what value of j could be Jon’s age?
Answers
Answer:
35
Step-by-step explanation:
The factors chosen are 35 and 38 which multiplied = 1330(the product) Laura is 3 years older than jon so she is 38 and Jon is 35.
What are the differences and similarities between the the graphs and equations of circles and ellipses?
Answers
A circle is a closed curved shape that is flat. That is, it exists in two dimensions or on a plane. In a circle, all points on the circle are equally far from the center of the circle. An ellipse is also a closed curved shape that is flat.
The points (18,21) and (42,49) form a proportional relationship. Find the slope of the line through the points. Then use the slope to graph the line.
Answers
Answer: 5/2
Step-by-step explanation: 49 - 42/ 21 - 18
Does the graph represent a function? Why or why not?
Answers
Answer:
The vertical line test can be used to determine whether a graph represents a function. ... If we can draw any vertical line that intersects a graph more than once, then the graph does not define a function because that x value has more than one output. A function has only one output value for each input value.
Step-by-step explanation:
Can i get braineist pls
help is very much needed
Answers
Answer:
IT'S NEGATIVE 3. HOPE THIS HELPS...
Please help !!! Will mark as brainliest !!!
Answers
Answer:
So the answer would be (A.
Step-by-step explanation:
how do i write 5z in expanded notation
Answers
The table shows a set of values for x and y
Answers
a) Assume y = [tex]x^{2}[/tex]
[tex]1b=\frac{k}{1^{2} }[/tex] k = 1b
[tex]y=\frac{1b}{x^{2} }[/tex]
b) y = 25
[tex]x^{2}=\frac{16}{25}[/tex]
[tex]x=\sqrt{\frac{4}{5} ^{2} }[/tex]
x = ±[tex]\frac{4}{5}[/tex]
x > 0, x = 4/5
{ Equation }
y=16/x² is required equation for y in terms of x and x=4/5 when y=25.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The table of values are
x 1 2 3 4
y 16 4 16/9 1
Given that y is inversely proportional to square of x.
y=k/x²
Let us consider
y=16 and x=1
16=k/1
k=16.
y=16/x²
So y=16/x² is equation for y in terms of x
b) We need to find value of x when y=25
25=16/x²
Use cross multiplication
x²=16/25
Take square root on both sides
√x²=√16/25
x=±4/5
If x>0 , so x=4/5
Hence y=16/x² is required equation for y in terms of x and x=4/5 when y=25.
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answer po plss plssplsss
Answers
Answer:
I'll answer 6 to 10 cuz that's only what I'm able to see
Step-by-step explanation:
6.
Y-Z
= {6,4,7,2,8,3} - {2,7,8,9,10}
= {6,4,3}
7.
( Y ∪ Z ) ∩ X
= ( {6,4,7,2,8,3} ∪ {2,7,8,9,10} ) ∩ {1, 2,3,5,8}
= { 2,3,4,6,7,8,9,10} ∩ {1, 2,3,5,8}
= {2,3,5,8}
8.
( X ∪ Y ) ∩ ( Y ∪ Z )
= ( {1, 2,3,5,8} ∪ {6,4,7,2,8,3} ) ∩ ( {6,4,7,2,8,3} ∪ {2,7,8,9,10} )
= {1,2,3,4,5,6,7,8} ∩ {2,3,4,6,7,8,9,10}
= {2,3,4,6,7,8}
9.
( X ∩ Z ) ∪ ( X ∩ Y )
= ( {1,2,3,5,8} ∩ {2,7,8,9,10} ) ∪ ( {1,2,3,5,8} ∩ {6,4,7,2,8,3} )
= {2,8} ∪ {3,8}
= {2,3,8}
10.
( X ∪ Y ) ∩ Z
= ( {1,2,3,5,8} ∪ {6,4,7,2,8,3} ) ∩ {2,7,8,9,10}
= {1,2,3,4,5,6,7,8} ∩ {2,7,8,9,10}
= {2,7,8}
Solve the equation, y = 7x + 10, using the x-values, 3, 5, and 8.
Which of the following T-tables represents the ordered pairs?
Please help !!
Answers
Answer:
y=7%283%29%2B10
y=21%2B10
y=31
(3,31)
Step-by-step explanation:
Answer:
the answer is A
Step-by-step explanation:
Marc solves the equation Latex: (\sqrt[4]{x})^3=5\textsf{.} His work is shown below. Step 1: Latex: (\sqrt[4]{x})^3=5 ( √ [ 4 ] x ) 3 = 5 Step 2: Latex: x^{\frac{3}{4} }=5 x 3 4 = 5 Step 3: Latex: x^{\frac{3}{4} \cdot \frac{4}{3} }=5^{\frac{4}{3} } x 3 4 ⋅ 4 3 = 5 4 3 Step 4: Latex: x=\sqrt[3]{5 \cdot 5 \cdot 5 \cdot 5} x = √ [ 3 ] 5 ⋅ 5 ⋅ 5 ⋅ 5 Step 5: Latex: x=5\sqrt[3]{\not{5} \cdot \not{5} \cdot\not {5} \cdot 5} x = 5 √ [ 3 ] ¬ 5 ⋅ ¬ 5 ⋅ ¬ 5 ⋅ 5 Step 6: Latex: x=5\sqrt[3]{5} x = 5 √ [ 3 ] 5 Explain what Marc did in steps 4 and 5. Why did he do this? Create your own radical equation and explain how to solve it. Is there an extraneous solution to your equation?
Answers
Based on the calculation, we can say that there is an extraneous solution to the equation
Given the equation solved by Marc expressed as:
[tex](\sqrt[4]{x})^3=5[/tex]
We are to check if the indices equation has an extraneous equation.
According to the law of indices [tex](\sqrt[n]{m} )^a=m^{\frac{a}{n} }[/tex], the expression becomes:
[tex](\sqrt[4]{x})^3=5\\x^\frac{3}{4}=5\\[/tex]
Raise both sides to the power of 4/3 as shown:
[tex](x^\frac{3}{4} )^\frac{4}{3} = 5^\frac{4}{3}\\x^1 = 5^\frac{4}{3}\\x = 5^\frac{4}{3}\\[/tex]
This shows that there is an extraneous solution to the equation
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Find the missing angle measures.
What is m∠2?
a 40
b 60
c 50
d 100
Answers
Find the 11" term of the following geometric sequence.
5, 15, 45, 135, ...
Answers
5*3^1 = 15,
5*3^2 = 45,
5*3^3 = 135,
5*3^4 = 405
1.9K viewsView upvotes
5
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I did the calculations
Martin finds a shirt on sale
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Multiply and simplify
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Answer and explanation:
1. 2 × 3/10 = 6/10 = 3/5
2. 8 × 4/8 = 32/8 = 4
3. 9 × 3/9 = 27/9 = 3
4. 12 × 2/11 = 24/11 = 2 2/11
5. 3 × 5/7 = 15/7 = 2 1/7
6. 2 × 3/5 = 6/5 = 1 1/5
7. 11 × 4/8 = 44/8 = 5 4/8 = 5 1/2
8. 10 × 1/4 = 10/4 = 2 2/4 = 2 1/2
9. 5 × 1/4 = 5/4 = 1 1/4
10. 11 × 2/7 = 22/7 = 3 1/7
Hope this helps!
Solve for x.
(x÷2)+6=50
x = 22
x = 28
x = 38
x = 88
Answers
The answer is x = 88