Answer:
The equation of line that is Parallel to the line y=-3x + 5 passes through (-4,5) is: y = -3x-7
Step-by-step explanation:
Given equation of line is:
[tex]y = -3x+5[/tex]
General form of slope-intercept equation of line is:
[tex]y=mx+b[/tex]
Comparing both we get
m = -3
The slope of two parallel line sis equal.
Let m1 be the slope of line parallel to given line, then
m1 = -3
Putting in general form
[tex]y = -3x+b[/tex]
Putting (-4,5) in equation
[tex]5 = -3(-4) +b\\5 = 12+b\\b = 5-12\\b = -7[/tex]
Putting in the general form, we get
[tex]y = -3x-7[/tex]
Hence,
The equation of line that is Parallel to the line y=-3x + 5 passes through (-4,5) is: y = -3x-7
In the diagram below what is the approximate length of the minor arc XY
Find the simplified product 5/n+1 x n+1/n+3
Answer: C) 5/n+3
Step-by-step explanation:
Johnny took a math test with 25 questions He answered 22 questions correctly in order to get an a he had to get 90% of them right. Did Johnny get an a on his math test?
Answer:
88%
Step-by-step explanation:
No Johnny boy did not
The slope of the line through -9,6 and -6,-9
Answer:
-5
Step-by-step explanation:
plz mark brainliest :)
What is the median of this set 17,13,18,20,17,15,12,
Answer:
17
Step-by-step explanation:
What is the x-intercept and the y-intercept of the following equation? -12 + 18y = 108
Answer:
Slope=− 1.083/1.083 =−0.542
x−intercept= 144/13 =11.07692
y−intercept= 144/24 =6.
Step-by-step explanation:
Answer:
Step-by-step explanation:
Intercepts of a Line
The x-intercept of a given line is the point where the line crosses the x-axis and the y-intercept of a given line is the point where the line crosses the y-axis.
We are given the following line:
-12x + 18y = 108
To find the x-intercept, we set y=0 and solve for x:
-12x + 18*0 = 108
-12x = 108
x = 108 / (-12) = -9
The x-intercept is the point (-9,0)
To find the y-intercept, we set x=0 and solve for y:
-12*0 + 18y = 108
18y = 108
y = 108 / 18 = 6
The y-intercept is the point (0,6)
What is the x-intercept of the line 6x−3y=24 ?
Answer:
what line are you talking about
I really need help .
A mathematical model that estimates the average atmospheric concentration of carbon dioxide, C, in parts per million, x years after 1950 is
Answer:
C = 306 +1.3x
Step-by-step explanation:
In 1950 the average atmospheric concentration of carbon dioxide was 306 parts per million with an estimated increase of 1.3 parts per million every single year. Therefore we can use these numbers to create the following mathematical model.
C = 306 +1.3x
This model multiplies the number of years after 1950 (x) by the estimated carbon dioxide increase per year in parts per million, and finally adds the initial atmospheric concentration of carbon dioxide from 1950 to calculate the current atmospheric concentration of carbon dioxide
This is urgent please help!
Answer:
try the last one
Step-by-step explanation:
(basic algebra)
any help would help so much thank you so much :)
Answer:
4600 Miles Per Hour (MPH)
Step-by-step explanation:
50600/11=4600
64400/14=4600
101200/22=4600
110400/24=4600
Use the formula m= y2-y1/x2-x1 to calculate the slope of the line.
Answer:
[tex]m=2[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASAlgebra I
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Find points from graph.
Point (2, 8)
Point (-6, -8)
Step 2: Find slope m
Substitute: [tex]m=\frac{-8-8}{-6-2}[/tex]Subtract: [tex]m=\frac{-16}{-8}[/tex]Divide: [tex]m=2[/tex]Which expression is equivalent to 3x – 5?
2x – 4 – 1 + x
–x + x + x – 1 – 1 – 1 – 1 – 1
–5 – 3x
3x + 5
the equation 2x-4-1+x would be the answer
Because 2x+x = 3x and -4-1 = 5, the result would be 3x-5
Answer:
2x-4-1+x
Step-by-step explanation:
Just answerd the quistion
Two pounds of grapes costs $6 as shown in the table. At this rate, how much does 1 pound of grapes cost?
Answer:
1 pound of grapes cost 3$
Step-by-step explanation:
If 2 pounds of grape cost 6$ then 1 pound of grape cost 3$ Since 1 is half of 2 and 3 is half of 6
2
In 1906, San Francisco felt the impact of an earthquake with a magnitude of 7.8.
Many pundits claim that the worst is yet to come, with an earthquake 142,990 times
as intense as the 1906 earthquake ready to hit San Francisco. If the pundits ability
to predict such earthquakes were correct, what would be the magnitude of their
claimed earthquake? Round your answer to the nearest tenth.
Answer:
1115322
Step-by-step explanation:
In 1906, San Francisco felt the impact of an earthquake with a magnitude of 7.8.
Claimed statement is he worst is yet to come, with an earthquake 142,990 times as intense as the 1906 earthquake ready to hit San Francisco.
We need to find the magnitude of their claimed earthquake.
It can be calculated by simply multiplying 142,990 by 7.8 as follows :
[tex]E=142990 \times 7.8\\\\=1115322[/tex]
The magnitude of claimed earthquake is 1115322 .
Using the earthquake intensity relation on the Ritcher scale, the magnitude of the claimed earthquake would be 13.0
Uisng the relation :
[tex] M_{a} - M_{b} = log(\frac{I_{a}}{I_{b}}) [/tex] Mb = 7.8Intensity = 142990Substituting the values into the equation :
[tex] M_{a} - 7.8 = log(142990) [/tex]
[tex] M_{a} - 7.8 = 5.1553056 [/tex]
[tex] M_{a}= 5.1553056 + 7.8 [/tex]
[tex] M_{a} = 12.955 [/tex]
Therefore, the magnitude of the claimed earthquake would be 13.0
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The cost of a hotel room during Lacy’s trip is $325. The hotel room tax in the city she is in is 10.5%. What is the total cost of the hotel room?
Answer:
$359.13
Step-by-step explanation:
To find the total cost of her room we have to add the cost of the tax to the cost of the room.
To find the value of the tax, multiply the value of the room(325) by 10.5%:
Convert 10.5% to decimal form: 0.105
0.105 * 325 = 34.125
34.125 rounds up to 34.13.
Now, add the cost of the tax to the room's cost:
34.13 + 325 = 359.13
The total cost of the hotel room is $359.13.
The cost of a hotel room during Lacy’s trip is $325 and the hotel room tax in the city she is in is 10.5%, so the total cost of the hotel room will be $ 359.13.
What is the percentage?It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.
The usage of percentages is widespread and diverse. For instance, numerous data in the media, bank interest rates, retail discounts, and inflation rates are all reported as percentages. For comprehending the financial elements of daily life, percentages are crucial.
It is given that the cost of a hotel room during Lacy’s trip is $325. The hotel room tax in the city she is in is 10.5%.
The total cost of the hotel room is,
Total cost = hotel room tax + cost of a hotel room
Total cost = 10.5% of $325 + $325
Total cost = $ 34.12 + $325
Total cost = $ 359.13
Thus, the cost of a hotel room during Lacy’s trip is $325, and the hotel room tax in the city she is in is 10.5%, so the total cost of the hotel room will be $ 359.13.
Learn more about the percentage here:
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find the value of x if log3 (x+6) =2
Answer:
3(x+6) =2
3x+18 =2
3x=2-18
3x=16
x=16/3
x=5.33333333
the circle is 5.5yd what is the circumference of half the circle
Answer:
You did not include enough information. What part of the circle is 5.5 yards? The diameter? radius?
Step-by-step explanation:
if 5.5 is radius then the formula is 2 x pi x 5.5
if 5.5 is diameter then the formula is pi x 5.5
60 = 5(1.07)^x
initial value:
a. 7%
b. 1.07%
c. 9.3%
d. 5
e. 60
growth or decay?
growth/decay rate?
a. 7%
b. 1.07%
c. 9.3%
d. 5
e. 60
Given:
The given equation is
[tex]60=5(1.07)^x[/tex]
To find:
The initial value and growth/decay factor.
Solution:
The general exponential growth/decay model is
[tex]y=a(1+r)^x[/tex] ...(i)
where, a is initial value, if r>0, then |r| is growth factor, if r<0, then |r| is decay factor and x is time.
We have,
[tex]60=5(1.07)^x[/tex]
It can be written as
[tex]60=5(1+0.07)^x[/tex] ...(ii)
On comparing (i) and (ii), we get
[tex]a=5\text{ and }r=0.07[/tex]
Here, initial value is 5 and growth factor is 0.07, i.e., 7%.
Therefore, the correct option for first question is d and correct option for second question is a.
Answer:
see image
Step-by-step explanation:
Plato/Edmentum
On a piece of paper graph f(x) =6 • (0.4)^x. Then determine which answer choice matches the graph you drew
Answer:
The general form of an exponential function is
.... (1)
Where, a is initial value and b is growth or decay factor.
If b>1, then it is an increasing function and if 0<b<1, then it is a decreasing function.
The given function is
.... (2)
From (1) and (2) it is clear that
The value of a is 6. It means the initial value or y-intercept of the function is 6.
The value of b is 0.4, which is less than 1. It means the function is a decreasing function.
Let x be the following values: 1, 2, 3, 4 , 5.
Let f(x) = y.
I will do one only.
Let x = 1
y = 6•(0.4)^(1)
y = 6•(0.4)
y = 2.4
Your first point is (1, 2.4).
Do the rest in like manner. Then graph each point on the xy-plane and lastly connect each point with a smooth curve.
Got it?
Which of the following best defines an input
Answer:
Step-by-step explanation:
A number that goies in and later comes out as an 'output' the output is the result
Please need help thank
Answer: 3 apples left
65 devided by 5 13
13-10
Step-by-step explanation:
Answer:
3 apples
Step-by-step explanation:
PLS HELP ME!!
What is x + 9 < 4x
Answer:
x>3
Step-by-step explanation:
subtract x from both sides
simplify 4x-x to 3x
9>3x
divide both sides by 3
9/3 <x
simplify 9/3
3<x
x>3
Cassie drives 270 miles in 4.5 hours. If she drives At a constant rate how far will she drive in 8 hours
Answer:
480
Step-by-step explanation:
270/4.5=60
60 x 8 = 480
Answer:
480 miles
Step-by-step explanation: First Divide 270 by 4.5 to get 60 mph then multiply 60 time 8 then you will get 480
5( y + 2) -4 ( y - 1) = 6
please help me!!!!!!!!!!
Answer:
HFHBEHFBHEHHEHHHHH
Step-by-step explanation:
In the figure below, m 1 = 3x° and m2 = (x+36).
Find the angle measures
Answer:
Step-by-step explanation:
∠1+∠2=180°
3x+x+36=180
4x=180-36=144
x=144/4=36°
∠1=3x=3×36=108°
∠2=x+36=36+36=72°
The measures of the angles are m∠1 = 108° and m∠2 = 72°.
Given,
m∠1 = 3x°
m∠2 = (x + 36)°
We need to find the measure of these angles.
What is a straight line angle?The straight line angle is 180 degrees.
If the angle is split the sum must be equal to 180 degrees.
We have,
m∠1 = 3x°
m∠2 = (x + 36)°
The figure is at a straight-line angle.
So we have,
m∠1 + m∠2 = 180°
3x° + (x + 36)° = 180
3x + x + 36 = 180
4x + 36 = 180
4x = 180 - 36
4x = 144
x = 144/4
x = 36
Now,
- m∠1
= 3x
= 3 x 36
= 108
- m∠2
= x + 36
= 36 + 36
= 72
Thus the measures of the angles are m∠1 = 108° and m∠2 = 72°.
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At what point does the graph of y= 9^x cross the y-axis
Answer:
(0,1)
Step-by-step explanation:
It that graph cross the y-axis, x haves to be 0. If you pass a wall (y), you have to be alingned to go throught (x=0). Then you replace:
[tex]y = 9^{x}[/tex]
[tex]y = 9^{0}[/tex]
[tex]y = 1[/tex]
x=0 ; y=1
what is the specified term of 3 6 12 find a7
Answer:
a₇ = 192
Step-by-step explanation:
There is a common ratio r between consecutive terms in the sequence.
r = 6 ÷ 3 = 12 ÷ 6 = 2
This indicates the sequence is geometric with n th term
[tex]a_{n}[/tex] = a₁ [tex]r^{n-1}[/tex]
where a₁ is the first term and r the common ratio
Here a₁ = 3 and r = 2 , thus
a₇ = 3 × [tex]2^{6}[/tex] = 3 × 64 = 192
5pm to 5 am how many hours
Answer:
12 hours
Step-by-step explanation:
Answer:
12 hours
Step-by-step explanation: