The values in the table represent a linear function.
The correct option is; Yes; The rate of change = 3/2
What is a linear function?A linear function is a function forms a straight line when plotted on the coordinate plane.
The values in the table represent a linear function, where we get;
The first difference is constant
The subsequent x-values increase by the same value
The increase the subsequent x-values is; 4 - 2 = 6 - 4 = 8 - 6 = 2, which is a constant
The first difference in the y-values is; 6 - 3 = 9 - 6 = 12 - 9 = 3
The first difference is a constant, 3, therefore, the values in the table represent a linear function.
The slope or rate of change is the ratio of the first difference to the difference in subsequent x-value, therefore;
The rate of change = 3/2
The correct option is therefore; Yes, rate of change = 3/2
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A cyclist traveled 70km at a constant speed. Write down the formula that shows the dependence of the speed, v, on the time t. Find v(5), v(7), v(3.5)
HELP I WILL GIVE BRAINLIEST + 20 POINTS I REALLY NEED THIS
The equation which relates speed, V and time, t to the total distance traveled is 70 = Vt
70 = Vtv(5) = 14 V(7) = 10V(3.5) = 20Since he is traveling at a constant speed, the relationship between, V and t can be written thus :
Distance = speed × time 70 = VtAt time, t = 5
70 = 5VV = 70/5 = 14At time, t = 7
70 = 7vV = 70/7 = 10At time, t = 3.5
70 = 3.5vv = 70/3.5 = 20Therefore, the relationship between V and t with distance is 70 = Vt
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Factories 16xy*2 +10xy
Answer:
[tex]16x {y}^{2} + 10xy \\ = 2xy(8y + 5) \\ 2xy = 0 \: or \: 8y + 5 = 0 \\ y = - \frac{5}{8} [/tex]
Find the percent decrease. Round to the nearest percent.
From 138 pounds to 130 pounds
The percent decrease is %.
Answer: 6%
Step-by-step explanation:
so you find the normal decrease. which is 138-130, 8 pounds.
then you divide by the original weight, you get 5.979…% so then round it up and tada! 6%
Which ordered pairs are solutions to the inequality y-2x less than or equal to -3
Answer:
(0, −3)
(2, −2)
(1, −4)
(6, 1)
(−3, 0)
Step-by-step explanation:
try plugging them in, might seem tedious, but it's the best way to practice. if you plug in a pair and the left side of the equation is less than or equal to 6, it's the right answer.
can someone please help with this one?
Answer:
Website a is cheaper by 29 cents
Step-by-step explanation:
Find the perimeter P of
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lab
Answer:
P = 3.6 + 6 + 3.6 + 6 = 19.2 units
Step-by-step explanation:
distance between (-3,-2) and (-5,-5) =
Sqrt[(-5-3)^2+(-5 - -2)^2]
Sqrt (4+9) = 3.6
d = (-5,-5) and (1,-5) =
Sqrt[(1 - - 5)^2 + (-5 - - 5)^2]
= sqrt (36 + 0) = 6
d = (1,5) and (3,-2)
Sqrt[(1 - - 3)^2 + (-5 - - 2)^2]
Sqrt(4+9) = 3.6
d = (3,-2) and (-3,-2)
Sqrt[(-3-3)^2 + (-2 - - 2)^2]
Sqrt (36+0) = 6
The amount of cleaning solution a company fills its bottles with has a mean of 33fl oz and a standard deviation of 1.5fl oz The company advertises that these bottles have 32fl oz, of cleaning solution.
Answer:
Mean: 30 mL
Standard Deviation: 45mL
Step-by-step explanation:
what set operation combining all elements that are in two sets?
Same question, but different answer option.
I definitely need help with this math problem.
Which expression is equivalent to 10f-5-5f+2?
15f-3 5f-7
15f-7 or -3+6f
Answer:
5f - 3, I'm assuming there was a typo in the answer choices.
Step-by-step explanation:
10f - 5f + 2 - 5
5f - 3
can someone please help I am stuck and its due soon I will follow and give feed back
Let f(x) = x^3 + 2x^2 + 3x + 1 and g(x)= 4x-5 Find f(x) x g(x)
[tex]▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ { \huge \mathfrak{Answer}}▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ [/tex]
Given :
[tex]f(x) = {x}^{3} + 2 {x}^{2} + 3x + 1[/tex]
[tex]g(x) = 4x - 5[/tex]
let's solve for f(x) × g(x) :
[tex]( {x}^{3} + 2x {}^{2} + 3x + 1)(4x - 5)[/tex]
[tex]4x {}^{4} - 5 {x}^{3} + 8 {x}^{3 } - 10 {x}^{2} + 12 {x}^{2} - 15x + 4x - 5[/tex]
[tex]4 {x}^{4} + 3 {x}^{3} + 2 {x}^{2} - 11x - 5[/tex]
therefore, correct choice is : D
If the diameter is 7.5 what is the radius?
If the radius is 17 what is the diameter?
If the diameter is 21 what is the radius?
If the radius 813 what is the diameter?
Answer:
Here is the answer to your question its fairly simple.
Step-by-step explanation:
3.75 is the radius
34 is the diameter
10.5 is the radius
1626 is the diameter
During a special ops mission a helicopter traveled eastward at 75 m/s against
westward blowing wind moving at a speed of 8 m/s. What would most likely
happen if the wind speed increased to 17 m/s? *
Helicopter
75 m/s
Wind
Answer:
the helicopter would go up and backwards
Find the 16" term of the arithmetic sequence whose common difference is d= 8 and whose first term is a, = 1.
0
(0 미미
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?
Answer:
[tex]a_{16} = 121[/tex].
Step-by-step explanation:
To go from the first term [tex]a_{1}[/tex] of this sequence to the second term [tex]a_{2}[/tex], add [tex]d[/tex] to [tex]a_{1}\![/tex].
To go from the first term [tex]a_{1}[/tex] of this sequence to the third term [tex]a_{3}[/tex], add [tex]2\, d[/tex] to [tex]a_{1}\![/tex].
In general, going from the first term [tex]a_{1}[/tex] of an arithmetic sequence to the [tex]k[/tex]th term, add [tex](k - 1)\, d[/tex] to [tex]a_{1}\![/tex].
Thus, given an arithmetic sequence with [tex]a_{1}[/tex] as the first term and [tex]d[/tex] as the common difference, the [tex]k[/tex]th term of this sequence would be [tex]a_{k} = a_{1} + (k - 1)\, d[/tex].
In this question, [tex]a_{1} = 1[/tex] and [tex]d = 8[/tex] for this arithmetic sequence. The [tex]16[/tex]th term of this sequence would be:
[tex]\begin{aligned}a_{16} &= 1 + (16 - 1) \times 8 \\ &= 1 + 15 \times 8 \\ &= 121\end{aligned}[/tex].
A coat usually sells for $62.95. It is on sale for 10% off.
What is the sale price?
Answer:
Hii, okay so the sale price is $56.66, Hope this helps
Step-by-step explanation:
What is 1 plus 1 in active numbers
What is the value of the y-intercept of the graph of f(x) = e^1-x – 1?
Answer:
(0, e-1) or (0, 1.718) to the nearest thousandth.
Step-by-step explanation:
The y-intercept occurs when x = 0 so here we have:
y = e^(1 - 0) - 1
= e - 1
So the y-intercept is the point (0, e-1)
Please let me know if this is true or false
Answer:
True hai
hope this help you ^0^
Simplify 5a×3×2b
Write down the answer, please.
[tex]5a \times 3 \times 2b \\ = (5 \times 3 \times 2)ab \\ = 30ab[/tex]
Answer:30 ab
Hope it helps
ray4918 here to help
Answer:
30ab
Step-by-step explanation:
Given expression,
→ 5a × 3 × 2b
Simplifying the expression,
→ 5a × 3 × 2b
→ (5 × 3)a × 2b
→ 15a × 2b
→ (15 × 2)ab
→ 30ab
Hence, the answer is 30ab.
Which expression is equivalent to this polynomial expression?
Answer:
Where is the expression
Answer:
Its c :)
Step-by-step explanation:
plato
Evaluate the equation: 3.6/e = 1.2
hopefully this is correct..
it's either e = 1/3 or 3
Answer:
1/3 or 3^-1
Step-by-step explanation:
please mark me as brainlest
What is your weight on Mars? (g = 3.75 m/s^2)
Evaluate.
(2a−13)÷b/15 when a=−2/5 and b=−8.25
Enter your answer as a simplified mixed number in the box
An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
The value of (2a - 13) ÷ b/15 when a = -2/5 and b = -8.25 is [tex]25\frac{75}{825}[/tex]
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
(2a - 13) ÷ b/15
The value of (2a - 13) ÷ b/15 when a = -2/5 and b = -8.25.
= (2a - 13) ÷ b/15
= (2 x (-2/5) - 13) ÷ -8.25 / 15
= (-4/5 - 13 ) ÷ -8.25 / 15
= (-4 - 65) / 5 ÷ -8.25 / 15
= -69/5 ÷ -8.25/15
= -69/5 x -15/8.25
= 69 x 3 / 8.25
= 207 / 8.25
= 20700/825
We will write this in a mixed fraction.
= [tex]25\frac{75}{825}[/tex]
Thus,
The value of (2a - 13) ÷ b/15 when a = -2/5 and b = -8.25 is [tex]25\frac{75}{825}[/tex]
Learn more about expressions here:
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What is the measure of
Answer:
30
Step-by-step explanation:
because 3 times 30 is 90,and 2 times 30 is 60 plus 30 would be equal to 180
When converted to a household measurement, 9 kilograms is approximately equal to a) 9000 grams. b) 9000 ounces. c) 19.8 ounces. d) 19.8 pounds.
Answer:
a) 9000 gam
Step-by-step explanation:
Answer:
a) 9000 grams
Step-by-step explanation:
1 kg=1000 g
9*1000=9000
PLS HELP! Will give brainliest!
Answer:
yes they are inverses.
a.). x
Step-by-step explanation:
that's all
Solve for x - 5 - 3 * + 1 = - 45
Answer:
[tex]x = \frac{41}{2} [/tex]
Step-by-step explanation:
x - 5 - 3x + 1 = -45
-2x - 4 = -45
-2x = -45 + 4
-2x = -41
x = 41 ÷ 2
x = 41/2
Step-by-step explanation:
[tex]\tt{}x - 5 - 3x + 1 = - 45[/tex]
[tex]\tt{} - 2x - 4 = - 45[/tex]
[tex]\tt{}- 2x= - 45 + 4[/tex]
[tex]\tt{} - 2x = - 41[/tex]
[tex]\tt{} x = \frac{41}{2} [/tex]
[tex]\tt{}x = 20 \frac{1}{2} [/tex]
If the figure below is a regular polygon, find the value of x.
(9x - 18)
Can someone explain this? (This is algebra 1)
Answer:
x=12
Triangle abc and Def are congruent but different sizes. The original triangle has side values of 2, 6 and 5. Then the shape is dilated by an unknown factor, giving it the side lengths of 4, x, and 10. Looking at the increase in side lengths we see that theres an increase of 2 to 4, or multiplying by 2 and an increase from 5 to 10, or multiplying by to. So now that we know there was a dilation of 2, we multiply 6 by 2 to find 12
What is the x-intercept of this equation: 6x + 2y = -8
Answer:
4, 0
Step-by-step explanation:
Answer:
[tex](\frac{-4}{3}, 0)[/tex]
Step-by-step explanation:
The x-intercept of any equation is the point where [tex]y=0[/tex].
Aha! We plug in [tex]y=0[/tex] into the equation to get [tex]6x+2(0)=-8[/tex], which gives [tex]6x=-8[/tex], which gives [tex]x=\frac{-8}{6}[/tex] which gives [tex]x=\frac{-4}{3}[/tex].
So, our answer is [tex]\boxed{(\frac{-4}{3}, 0)}[/tex] and we're done!