Answer:
y=-3/2x+13
Step-by-step explanation:
Convert to slope-intercept form (y=mx+b):
-3x+2y=10
-3x-10+2y=0
-3x-10=-2y
-3/2x-5=y
y=-3/2x-5
Parallel lines have the same slope, so the slope of the equation will be m₁=m₂ where -3/2=-3/2
Solving for b, the y-intercept, we get:
y=-3/2x+b (Equation so far)
7=-3/2(4)+b [Plugging in (4,7)]
7=-12/2+b
7=-6+b
13=b
Therefore, the equation of the line that is parallel to the line -3x+2y=10 and goes through the point (4,7) is y=-3/2x+13
Select the equation that is a rational function
A. y=x
B. y=x/(x+3)
C. y=x^3
D. y=2^x
Answer:
y = x/x+3 is a rational function
Step-by-step explanation:
Here, we want to select the equation that is a rational function
rational functions are such that could be expressed as the division of one function by another
For example;
f(x) = g(x)/h(x)
is a rational function
so, if we applied this here,
we have it that;
y = x/x+ 3 is a rational function
Please answer correctly and no links pls
Answer: 13.) 49, 14.) 64
Step-by-step explanation:
7x7=49, 8x8=64
Area of circle with 7.1km rounded to the nearest tenth
Answer:
I'm pretty sure it's just 7.0 because seven is the nearest 10th because it's only .1
You start out with a penny that will double every day for 30 days. Find the average rate of change from day 7 to day 14. Remember that this function has already been shown to be f(x)=0.01(2)^x.
Answer:
$23.22 per day.
Step-by-step explanation:
For a general function f(x), the average rate of change between A and B (when B > A) is:
[tex]r = \frac{f(B) - f(A)}{B - A}[/tex]
In this case we know that the function is:
f(x) = 0.01*(2)^x
And we want to find the average rate of change from day 7 to day 14
Then if we use the above equation we get that the rate of change from day 7 to day 14 is:
[tex]r = \frac{0.01*(2)^{14} - 0.01*(2)^7}{14 - 7} = 23.22[/tex]
Because this equation is in dollars, we can conclude that the average rate of change between day 7 and day 14 is $23.22 per day.
An average rate of change between A and B (where B>A) for a generic function [tex]f(x)[/tex] is:
[tex]\to r=\frac{f(B)-f(A)}{B-A}\\\\[/tex]
In this situation, the function is:[tex]\to f(x) = 0.01\times (2)^x[/tex]
And we'd like to calculate the average rate of change from day 7 to day 14.Using the aforementioned equation, we can calculate the rate of change from day 7 to day 14 as follows:[tex]\to r=\frac{0.01\times 2^{14} -0.01 \times 2^7}{14-7}=23.22[/tex]
Since this equation is stated in dollars, we can calculate that the average rate of change between days 7 and 14 is [tex]\$23.22[/tex] each day.
Learn more:
brainly.com/question/12997887
By visual inspection, determine the best-fitting regression model for the
scatterplot.
y
5
Pood
A. Exponential
B. Quadratic
C. No pattern
D. Linear
Answer:
The answer is Exponential
Exponential regression finds the equation of the exponential function that best fits the data points in the scatterplot.
The correct option is A.
As per the given diagram,
the scatter plot shows an exponential function.
To determine the best-fitting regression model for a scatterplot that follows an exponential function, we need to use exponential regression. Exponential regression finds the equation of the exponential function that best fits the data points in the scatterplot.
Therefore, an exponential regression model is appropriate.
To learn more about exponential;
https://brainly.com/question/14344314
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1/8 quarters is how many gallons
Answer:
4 quarters in a gallon
Step-by-step explanation:
For the data shown in the scatter plot below, identify a point apart from the main cluster?
A (1, 4)
B (3, 5)
C (8, 7)
D(4, 7)
Answer:
C. (8, 7)Step-by-step explanation:
There are 2 points that are apart from the main cluster:
(8, 7) and (8.5, 7.5)One of them is included in the answer choices:
C. (8, 7)Easy question and answer 15 points uh huh uh huh!!!
Answer: they are equal because the exponents are equal. Right there are in different order but they are still the same.
Step-by-step explanation:
If we multiply a number by 5, then we add it by 3.5, and we divide the result by 2, and from the new result we subtract 7.6 we obtain 6.65. Find out the number.
Answer:
the number is 5
Step-by-step explanation:
((n x 5 + 3.5) ÷ 2) -7.6 = 6.65
( 5n + 3.5) ÷ 2 = 14.25
5n + 3.5 = 28.5
5n = 25
n = 5
I will give Brainiest For The Correct answer
Factor completely
a2 - a - 20
Worth 20 Points
(A−5)(A+4) I think that is the right answer
NEED HELP ASAP
Which ratios are equivalent to 4:10? Choose ALL the equivalent ratios.
Answer:
2:5 12:30(?)
Step-by-step explanation:
the first ones right I'm not sure about 12:30
Find the area of a regular hexagon inscribed in a circle with a radius of 6 feet. Round to the nearest tenth.
93.5 feet^2
187 feet^2
46.8 feet^2
102.3 feet^2
Answer:
93.5ft
Step-by-step explanation:
Angle of a triangle measures 115° the other two angles are in the ratio of 4:9 what are the measures of those two angles
Answer:
20, 45
Step-by-step explanation:
A triangle has 180 degrees interior angle measure. One angle measure 115 so that means the other two angles must add up to 65.
The remaning angles form a ratio of 4:9. This means we must split 65 into a ratio of. 4:9
A ratio partition parts of something. We can add the ratio intergers to find it full length.
4+9=13.
Divide 65/13=5.
Multiply 5x4 and 5x9 serpately.
We get 20 and 45
Tavon makes another box with height h inches from a piece of cardboard that meadures 12 inches by 12 inches
Answer:
[tex]Area = 4h^2-56h +144[/tex]
Step-by-step explanation:
Given
See attachment for complete question
Required: The base area.
From the question, we have the initial dimensions to be:
[tex]Length = 12[/tex]
[tex]Width = 12[/tex]
h inch were removed from each corner to form the new base. So, the dimension of the new base is:
[tex]Base\ Length = Length - h - h[/tex]
[tex]Base\ Length = Length - 2h[/tex]
[tex]Base\ Width = Width - h-h[/tex]
[tex]Base\ Width = Width - 2h[/tex]
The area of the base is calculated by multiplying the base dimensions
[tex]Area = Base\ Length * Base\ Width[/tex]
[tex]Area = [Length - 2h] * [Width - 2h][/tex]
[tex]Area = [12 - 2h] * [12 - 2h][/tex]
Expand
[tex]Area = 12[12 - 2h] -2h [12 - 2h][/tex]
[tex]Area = 144 - 28h -28h + 4h^2[/tex]
[tex]Area = 144 -56h + 4h^2[/tex]
Rewrite as:
[tex]Area = 4h^2-56h +144[/tex]
equivalent to 0.13
?
Answer:
13/100 or 13% is equivalent to 0.13
Step-by-step explanation:
hope this helps
Which number is rational?
o 22
O 16
w-5=8w+5
show your work
no links!!!!
Answer:
-10/7
Step-by-step explanation:
w - 5 = 8w + 5
w - 8w = 5 + 5
-7w = 10
w = - 10/7
Answer:
Step-by-step explanation:
To solve this equation, group like terms together: 'w' terms on the right and constants on the left:
-10 = 7w. Then:
w = -10/7 (exact) or w ≈ 1.43
What is the exact area of a regular hexagon with a side length of 8 cm? Enter your answer in the box. cm
Answer:
A≈166.28cm²
Step-by-step explanation:
A=[tex]\frac{3\sqrt{3} }{2} a^{2} = \frac{3 x \sqrt{3} }{2} x 8^{2} = 166.27688cm^{2}[/tex]
What is ten kilograms minus thirty gram?
Answer:
10kg-30g
10×1000g - 30g
(10000 - 30) g
9970g
if it helps don't forget to like and Mark me
Can some show the steps and the answer please I really need help tell me how you get it and the answer
Answer:
if you use the 10 feet ladder base is 6 feet
if you use 12 feet ladder base is 8.94 feet
if you use 15 feet ladder base is 12.69 feet
Step-by-step explanation:
you know the ladder length so you know the hypotenuse
you can use a^2 + b^2= c^2
for example you use the 10 feet ladder
8^2+b^2 = 10^2
64 + b^2 = 100
subtract 64 from both sides
b^2=36
to get rid of the exponent find square root
b= 6
you can plug in the different values like 15 or 12
Please please help this is algebra:(
Laney is making gift bags with pencils and candy bars.
The pencils come in packages of 12.
• The candy bars come in packages of 10.
• Each gift bag will have the same number of pencils.
• Each gift bag will have the same number of candy bars.
How many packages of each will Laney need to buy in order to have no candy bars or pencils left over?
O A. 12 packages of pencils, 6 packages of candy bars
OB. 5 packages of pencils, 10 packages of candy bars
O C. 6 packages of pencils, 5 packages
candy bars
O D. 5 packages of pencils, 6 packages of candy bars
Answer:
Choice D
Step-by-step explanation:
Choice A
12 x 12 = 144 pencils
6 x 10 = 60 candy bars
Choice B
5 x 12 = 60 pencils
10 x 10 = 100 candy bars
Choice C
6 x 12 = 72 pencils
5 x 10 = 50 candy bars
Choice D
5 x 12 = 60 pencils
6 x 10 = 60 candy bars
Please help me, thank you!
Answer:
the slope is -1.5
Step-by-step explanation:
which set of ordered pairs is a function?
Answer:
I believe the third option is correct!
{(-5,1), (-3,2), (-1,3), (1,4), (3,5)}
Hope this helps!
3.14 times 16 divided by 3
Answer:
The answer is 16.746667
Step-by-step explanation:
1) Simplify 3.14 × 16 to 50.24.
[tex]50.24 \div 3[/tex]
2) Simplify 50.24 ÷ 3 to 16.746667.
[tex]16.746667[/tex]
Therefor. the answer is 16.746667.
(+5)+(-2)+(+20)
solve
Answer:
5(x-2)^2=20
5(x^2-4)=20
5x^2-20=20
5x^2-20-20=0
5x^2-40=0
5x^2+0x-40=0
Step-by-step explanation:
hope this is helpfull
Complete the factorization of 3x2 – 5x + 2
.
You have an ice cream cone that is 6 inches tall with a radius of 2 inches. The cone is completely filled with ice cream. There is also a spherical scoop of ice cream on top of the cone with a radius of 3 inches. How much ice cream do you have total in terms of \piπ?
Solve for X. Please show work
Answer:
x = 19.8
Step-by-step explanation:
Mathematically, when two triangles are similar, the ratio of their corresponding sides are equal
thus, we have it that;
16/28.8 = 11/x
16 * x = 11 * 28.8
x = (11 * 28.8)/16
x = 19.8
Ms. Smith and Mr. Roberts are running a race. Ms. Smith runs 8, 305 feet. Mr. Roberts runs 2 miles. How many feet further does Mr. Roberts run? (Reminder: 1 mile = 5,280 feet)
Answer:
Mr. Roberts runs 2,255 more feet then Ms. Smith.
Step-by-step explanation:
So I took 5,280 + 5,280 = 10,560 so now I can just take Ms. Smith's 8,305 and subtract it from 10,560 which gave me 2,255 so Mr. Roberts runs 2,255 more feet then Ms. Smith.