Answer:
C. The relationship is linear; y – 5 = 2(x + 7).
Step-by-step explanation:
The correct answer is:
The relationship is linear, and the equation is
y-5 = 2(x+7).
Explanation:
To determine if the relationship is linear, we find the slope between each pair of points. Slope is given by the formula:
The slope between the first two points is given by:
The slope between the second pair of points is given by:
The slope between the third pair of points is given by:
Since the slope is the same throughout the data, the relationship is linear and the slope is 2.
To write the equation, we use point-slope form, which is:
y-y₁ = m(x-x₁)
Using the first point, we have:
y-5 = 2(x--7)
y-5 = 2(x+7)
The answer is The relationship is linear; y - 5 = 2(x + 7).
What is the solution of x3 – x2 > 9(x – 1)
Consider the cubic equation,
x³ - x² = 9 (x - 1)
We can solve this by factoring:
x³ - x² - 9x + 9 = 0
x² (x - 1) - 9 (x - 1) = 0
(x² - 9) (x - 1) = 0
(x - 3) (x + 3) (x - 1) = 0
So the cubic has roots at x = 3, x = -3, and x = 1. Split the real line into the open intervals (-∞, -3), (-3, 1), (1, 3), and (3, ∞). Check if the inequality holds for some test point taken from each interval:
• in (-∞, -3), take x = -4. Then
(-4)³ - (-4)² = -80
9 (-4 - 1) = -45
but -80 > -45 is not true. So this interval is not in the solution set.
• in (-3, -1), take x = -2. Then
(-2)³ - (-2)² = -12
9 (-2 - 1) = -27
and -12 > -27 is true. So x in (-3, -1) satisfies the inequality.
• in (1, 3), take x = 2. Then
2³ - 2² = 4
9 (2 - 1) = 9
but 4 > 9 is not true.
• in (3, ∞), take x = 4. Then
4³ - 4² = 48
9 (4 - 1) = 27
and 48 > 27 is true.
So, the complete solution set is
(-3, -1) U (3, ∞)
(where U denotes union)
what is 37/10 rename the faction as a mixed number
Answer:
It's 3 [tex]\frac{7}{10}[/tex]
Hope that helps and that I didn't take too long.
To find the mixed number, take how many times that the denominator (bottom number) can divide into the numerator (top number). In this case, it is 3 times, with 7 remaining. So, it will be [tex]3\frac{7}{10}[/tex].
Answer this question
Answer: y = 2/3x
or if you also need the y intercept then its. y = 2/3x +3.66
Answer:
1/2
Step-by-step explanation:
Sally spent $13 out of her $20 weekly allowance. what percentage of her allowance hes she spent?
Which value of x makes the equation 1.25 (4x-10) = 7.5 true
Answer:
x = 6
Step-by-step explanation:
1.25(4x - 10) = 7.5
~Use the distributive property
5x - 12.5 = 7.5
~Add 12.5 to both sides
5x = 30
~Divide 5 to both sides
x = 6
Best of Luck!
there are 1600 kilocalories in the 5 cups of dog food that mike gives his adult dog. Mike gives his puppy 2 cups of the same dog food. how many kilocalories are there in the 2 cups serving? i realllllllly need help
Answer: There are 640 kilocalories in the 2 cups of dog food.
Step-by-step explanation: I hope it helps you!
picture below please help
Answer:
60 mph
Step-by-step explanation:
If you divide 300/5 you get 60.
hope this helps.
FAST PLEASE
What is the simplified expression for 4 to the power of negative 3 multiplied by 3 to the power of 4 multiplied by 4 to the power of 2 whole over 3 to the power of 5 multiplied by 4 to the power of negative 2 ?
3 over 4
4 over 3
4 to the power of 2 over 3
3 to the power of 3 over 4
Answer:
4/3
Step-by-step explanation:
You can simplify the exponent expression using exponent rules. The rules are:
A positive exponent is the number of times the base multiplies by itself.
A negative exponent is the number of times the base divides itself.
Multiplying same bases with exponents is simplified by adding the exponents.
Dividing same bases with exponents is simplified by subtracting the exponents.
A zero exponent always evaluates as 1.
The expression \frac{4^{-3}3^44^2}{3^54^{-2}}
3
5
4
−2
4
−3
3
4
4
2
can be simplified first using the negative exponent rule to move base with negative exponent to the other part of the fraction.
\frac{4^{-3}3^44^2}{3^54^{-2}} = \frac{4^{2}3^44^2}{3^54^{3}}
3
5
4
−2
4
−3
3
4
4
2
=
3
5
4
3
4
2
3
4
4
2
Now use the multiplication rule to simplify numerator and denominator.
\frac{4^{2}3^44^2}{3^54^{3}} = \frac{4^{2+2}3^4}{3^54^{3}} = \frac{4^{4}3^4}{3^54^{3}}
3
5
4
3
4
2
3
4
4
2
=
3
5
4
3
4
2+2
3
4
=
3
5
4
3
4
4
3
4
Finally, use the division rule to reduce the fraction.
\frac{4^{4}3^4}{3^54^{3}}= 4^{4-3} 3^{4-5} = 4*3^{-1} = \frac{4}{3}
3
5
4
3
4
4
3
4
=4
4−3
3
4−5
=4∗3
−1
=
3
4
At what point does the graph of the line y = 4x + 3 cross the y-axis?
O (4, 3)
(3, 0)
(0, 3)
I don't know
The equation of a line is given by:
y = mx + c
where m is the slope of the line and c is the y-intercept.
The point at which the graph of the line y = 4x + 3 crosses the y-axis is 3.
What is an equation of a line?The equation of a line is given by:
y = mx + c
where m is the slope of the line and c is the y-intercept.
Example:
The slope of the line y = 2x + 3 is 2.
The slope of a line that passes through (1, 2) and (2, 3) is 1.
We have,
The equation of a line y = 4x + 3
The graph of the line crosses the y-axis when x = 0.
This is called the y-intercept.
There are two ways to get the y-intercept point.
From the definition of the equation of a line in slope intercept form we have,
y = mx + c
Where c is the y-intercept.
y = 4x + 3
So,
c = 3
We can also find the y-intercept when x = 0.
y = 4x + 3
y = 4 x 0 + 3
y = 3
Thus,
The point at which the graph of the line y = 4x + 3 crosses the y-axis is 3.
Learn more about equation of a line here:
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Which set of ordered pairs does not represent a function?
O{(-7,8), (2,1),(-8, -9), (-8,6)}
O {(5,-1),(-3,-2),(-1,-2), (-5,7)}
O {(1, -6), (4,-6), (5,0), (6,6)}
{(3,0), (-2,-3), (4, -7), (8, -9)}
Answer:
(-7,8), (2,1),(-8, -9), (-8,6)
Step-by-step explanation:
the x values repeat
The x values are not supposed to repeat to create a function
If someone would be so kind as to help that would be great ;) This is timed btw
Answer:
-6 on edge
Step-by-step explanation:
BRAINLIEST?Find the equation of a line in slope-intercept from the following points:
(0,0) (1,7)
y=1/7x+7
y=7x
y=7x+1
y=1/7x
Answer: y = 7x
Step-by-step explanation:
The slope-intercept is usually written as y = mx + b form, where m is the slope, and b is the y-intercept. The y-intercept is the y value when x is equal to 0.
In this case, the y-intercept is 0.
Slope = (y2 - y1) / (x2 - x1)
= (7 - 0) / (1 - 0)
= 7 / 1
= 7
Plug in the slope and y-intercept, we get y = 7x + 0 = 7x
which best describes why these two figures are similar or not similar
Answer:
These two figures are not similar because 8x4 does not equal 6x10.
Step-by-step explanation:
8x4=32
6x10=60
32<60
Not equal.
Hi I need help finding the slope of this function.
Answer:+0.5 is the slope
Step-by-step explanation:
(-2,-4) (-1,-3.5) (0,-3) (1,-2.5) (2,-2)
The Ninoy Aquino International Airport (NAIA) and Singapore Changi Airport (SIN) are about 2,400 kilometers apart. A Singapore Airlines passenger plane leaves NAIA, traveling towards SIN at an average speed of 800 kilometers per hour. A Philippine Airline passenger plane leaves SIN at the same time, traveling toward NAIA, averaging 640 kilometers per hour. How long will it take them to meet?
The relative velocity of one plane with respect to the other plane is given
by the sum of the velocity of the two planes.
The time it would take the two planes to meet is [tex]\underline{1. \overline 6 \ km/hr}[/tex]Reasons:
The distance between the two airports = 2,400 km
Speed of the plane from NAIA = 800 kilometer per hour
Speed of the plane coming from SIN = 640 kilometers per hour
Let t represent the time after which the two planes meet, we have;
800 × t + 640 × t = 2,400
[tex]\displaystyle t = \frac{2,400 \ km}{800 \ km/hr + 640 \ km/hr} = \frac{5}{3} \ km/hr = 1.\overline 6 \ km/hr[/tex]
The time after which the two planes meet, t = [tex]\underline{1. \overline 6 \ km/hr}[/tex]
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107 16 Marks If I was asked to think of a number and multiply it by 2, I could write this algebraically as 2x. Write the following algebraically, using x as your unknown. "I think of a number, take away 1 and multiply the result by 3."
Answer:
The algebraic expression would be 3(x-1)
Please I need help
SAVE ME
The exterior angle of a triangle is equal to the sum of 2 opposite interior angles of the triangle.
Here,
2 opp. interior angles = 30° & (4x + 2)°
Exterior angle = (8 + 6x)°
So,
8 + 6x = 4x + 2 + 30
8 + 6x = 4x + 32
8 - 32 = 4x - 6x
-24 = -2x
=》 12 = x
________
꧁✿ ᴿᴬᴵᴺᴮᴼᵂˢᴬᴸᵀ2222 ✬꧂
There are eight rolls of paper towels in one package. There are four packages of paper towels in one box. There are ten boxes. How many rolls of paper towels are there?
Answer:
320 rolls
Step-by-step explanation:
Because there are ten boxes, and four packages fit into one box, 40 packages fit into ten boxes. If you then multiply 40 by 8, you get 320. You multiply 40 by 8 because 8 rolls of paper towels fit into one package.
what is the value of A? im so bad at these plz help
a 35 centimeter ribbon is cut into 8 equal pieces what is the length of each piece?
a variable whose value is less than zero
Answer:
It is called a negative number. For example, -4 -976 -23 -21
The length of a rectangle is 7 inches longer than it is wide. If the perimeter is 34 inches, what are the dimensions of the rectangle
What is the slope of the line through (-5, -10) and (-1, 5)?
Answer:
look at the photo ..............................have some points part 2
because i have nothing else to actually use these for
Answer:
why?
Step-by-step explanation:
Answer:thank
have a great day
PLS ANSWER THIS
NO LINKS
Answer:
30 units
Step-by-step explanation:
Use distance formula
WARNING not positive that this is right
PLEASE I NEED HELP WITH BOTTOM PART WILL MARK BRAINLIEST!!
Answer:
13.
parallel: y = 1/3x -3
perpendicular: y = -3x - 3
14.
parallel: y = 4x - 1/2
perpendicular: y = -1/4x - 1/2
15.
parallel: y = -2x + 4
perpendicular: y= 1/2x + 4
16.
parallel: y = -2x-2
perpendicular: y= 1/2x-2
17.
parallel: y = -2x+8
perpendicular: y= 1/2x + 8
Step-by-step explanation:
A perpendicular has a negative reciprocal slope and a parallel has the same slope
Can someone tell me the answer to this
Answer:
7
Step-by-step explanation:
If ABCD is dilated by a scale factor of 1/2
then A'B'C'D' becomes half the size of ABCD
so if side D'A' is 3.5
Then D'A' = 1/2 DA
3.5 = 1/2 DA
DA = 7
David rolls a fair dice 30 times.
How many times would David expect to roll an even number?
Answer:
15 times
Step-by-step explanation:
You have $700 to buy a new carpet for your bedroom. Write and solve an inequality that represents the costs per square foot that you can pay for the new carpet. Specify the units of measure in each step.
Answer:
3 squear meator of concrete
Step-by-step explanation:
Vlad the Impaler promotes many of his soldiers into generals (don't ask what happened to the past generals). Haley thinks the proportion is about 64%, but wants to estimate the proportion better by sampling soldiers until her margin of error for a 94% Confidence Interval is less than 0.008. How many soldiers should Haley sample?
Using the formula for the margin of error, it is found that Haley should sample 12,724 soldiers.
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the z-score that has a p-value of [tex]\frac{1+\alpha}{2}[/tex].
The margin of error is of:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
Estimate of the proportion of 64%, hence [tex]\pi = 0.64[/tex].
94% confidence level
So [tex]\alpha = 0.94[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.94}{2} = 0.97[/tex], so [tex]z = 1.88[/tex].
Margin of error of less than 0.008 is wanted, hence, we have to find n when M = 0.008.
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.008 = 1.88\sqrt{\frac{0.64(0.36)}{n}}[/tex]
[tex]0.008\sqrt{n} = 1.88\sqrt{0.64(0.36)}[/tex]
[tex]\sqrt{n} = \frac{1.88\sqrt{0.64(0.36)}}{0.008}[/tex]
[tex](\sqrt{n})^2 = (\frac{1.88\sqrt{0.64(0.36)}}{0.008})^2[/tex]
[tex]n = 12723.84[/tex]
Rounding up, Haley should sample 12,724 soldiers.
A similar problem is given at https://brainly.com/question/25404151
