Answer:
The equation of line with slope: -3 and y-intercept: -6 is [tex]\mathbf{y=-3x-6}[/tex]
Step-by-step explanation:
We need to write an equation of the line with the given slope and y-intercept. slope: -3 ,y-intercept: -6
The general equation for slope-intercept form is: [tex]y=mx+b[/tex]
where m is slope and b is y-intercept.
We are given in the question:
slope: -3 y-intercept: -6
So, we have slope m = -3 and y-intercept b = -6
Putting values in the slope-intercept form equation:
[tex]y=mx+b\\y=-3x-6[/tex]
So, The equation of line with slope: -3 and y-intercept: -6 is [tex]\mathbf{y=-3x-6}[/tex]
how we know relation is a function
Determine the equation of a circle with center at (8, 10) and radius 6.
Answer:
(x – 8)2 + (y – 10)2 = 36
Step-by-step explanation:I took the test
The equation of a circle with center at [tex](8, 10)[/tex] and radius [tex]6[/tex] will be
[tex](x-8)^2+(y-10)^2=36[/tex] which is given in option [tex](3)[/tex] .
What is equation of a circle ?Equation of a circle is written in the form [tex](x-h)^2+(y-k)^2=r^2[/tex] where [tex](h,k)[/tex] is the center and [tex]r[/tex] is the radius.
We have,
The center at [tex](8, 10)[/tex] and radius is [tex]6[/tex] .
i.e.
[tex]h=8[/tex]
[tex]k=10[/tex]
[tex]r=6[/tex]
So, using the above given equation,
[tex](x-h)^2+(y-k)^2=r^2[/tex]
Putting the above values in this equation
We get,
[tex](x-8)^2+(y-10)^2=(6)^2[/tex]
i.e.
[tex](x-8)^2+(y-10)^2=36[/tex]
This is the equation of a circle which is derived using the above given equation.
Hence, we can say that the equation of a circle with center at [tex](8, 10)[/tex] and radius [tex]6[/tex] will be [tex](x-8)^2+(y-10)^2=36[/tex] which is given in option [tex](3)[/tex] .
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i will give brainiest to whom answers correct and the fastest and a thanks
Answer:
(D) The bottom graph, and (A) The top table.
Step-by-step explanation:
The easiest way to pick out the wrong answers is simply through substitution. Substitute the input into the x part of the equation that is given and if it doesn't match up with y everytime, then it is incorrect.
From table A (top table), the input x can be substituted into y = x + 2 which will come out as the output so it is correct.
For table A:
x = -3 → y = x + 2 → y = (-3) + 2 → y = -1 = -1
x = -2 → y = x + 2 → y = (-2) + 2 → y = 0 = 0
x = -1 → y = x + 2 → y = (-1) + 2 → y = 1 = 1
x = 0 → y = x + 2 → y = (0) + 2 → y = 2 = 2
x = 1 → y = x + 2 → y = (1) + 2 → y = 3 = 3
Since the table matches up with the inputs and outputs of the table, it is a correct answer.
For table B:
x = 3 → y = x + 2 → y = (3) + 2 → y = 5 = 5
x = 4 → y = x + 2 → y = (4) + 2 → y = 6 ≠ 7
x = 5 → y = x + 2 → y = (5) + 2 → y = 7 ≠ 9
x = 6 → y = x + 2 → y = (6) + 2 → y = 8 ≠ 11
x = 7 → y = x + 2 → y = (7) + 2 → y = 9 ≠ 13
5 out of the 6 y values of the table do not match the equation, so table B must be incorrect.
Graph C:
Notice how you can see the line cross the x, and y axis. When the line crosses the x axis, it is an x intercept which means y is 0. When the line crosses the y axis, it is a y intercept which means x is 0.
Since the line crosses the y axis at 2, this means that an x of 0 must lead to a y of 2 which it does.
x = 0 → y = x + 2 → y = (0) + 2 → y = 2 = 2.
But the x intercept doesn't match up as shown here.
y = 0 → y = x + 2 → (0) = x + 2 →
0 – 2 = x + 2 – 2 → -2 = x → x = -2 ≠ -1
When graphing the line y = x + 2, it's x intercept should be (-2,0). While on this graph, it's (-1,0). This means that this graph is incorrect which leads to D being another correct answer.
✓ Table A: y = x + 2
× Table B: y = 2x – 1
× Graph C: y = 2x + 2
✓ Graph D: y = x + 2
4 In Ms. Smith's class of 26 students, 12 wear glasses. What is the ratio of students who
wear glasses to those who don't?
A. 12:26
B. 26:12
C. 12:14
D. 4:12
Answer:
C
Step-by-step explanation:
Amelia used 1/7 of an ounce of butter to make 1/4 of a pound of Jello. How many ounces of butter are needed to make 1 pound of Jello
Answer:
4/7
Step-by-step explanation:
Answer:
4/7 ounces of butter makes a pound of jello
Step-by-step explanation:
7 times 4 is 28, so 4/28 ounces of butter for 7/28 pounds of jello. so 4/28 times 4 is 16/28. 16/28 is our answer, then simplified is 4/7. Thats how we get our answer.
URGENT! Can someone please help me?
Answer:
An equation of the circle with centre (5,7) and radius 2 is [tex]\mathbf{(x-5)^2+(x-7)^2=4}[/tex]
Option A is correct.
Step-by-step explanation:
A circle in the xy-plane has centre (5,7) and radius 2. Which of the following is an equation of the circle.
The equation of circle is of form: [tex](x-h)^2+(x-k)^2=r^2[/tex] where (h,k) is centre and r is radius.
We have centre (5,7) so, we have h = 5 and k = 7
We have radius = 2 so, r = 2
Putting values in the equation and finding the required equation:
[tex](x-h)^2+(x-k)^2=r^2\\(x-5)^2+(x-7)^2=(2)^2\\(x-5)^2+(x-7)^2=4[/tex]
So, an equation of the circle with centre (5,7) and radius 2 is [tex]\mathbf{(x-5)^2+(x-7)^2=4}[/tex]
Option A is correct.
what is the discriminant of -2x to the power of 2 -x-1=0
I am painting my wall that measures 32 feet by 9 feet. If a gallon of paint covers 150 sq. ft, how many gallons will I need to paint my wall?
Answer:
2
Step-by-step explanation:
To find out how big the wall is you do 32 times 9 which equals 288.
2 gallons of paint covers 300 feet. You will have left over but that is ok.
Find −5(6)+(−9) need help
1.54 x 10^7 as an ordinary number.
Answer:
15,400,000
Step-by-step explanation:
Calculator
pls help!!!!!!!!!!11
Answer: A
Step-by-step explanation: Every hour the temperature goes down 2 degrees and the h wouldn't go on the 32! Good luck! :D
Answer:
C. t = –4h + 21
Step-by-step explanation:
We know that when h = 0, t = 21°F. Replacing h = 0 in equation A and D we get:
A.
t = 21h + 4
t = 21(0) + 4
t = 4
D.
t = –21h + 4
t = –21(0) + 4
t = 4
So, none of them are correct.
The temperature drops 4 degrees every hour, this means that for h = 1 then t = 21 - 4 = 17. Replacing h = 1 in equation B and C we get:
B.
t = 4h + 21
t = 4(1) + 21
t = 25
C.
t = –4h + 21
t = –4(1) + 21
t = 17
In consequence, C is the correct option.
Kaitlyn loves to read. She reads 90 pages in half an hour. How many pages does she read per minute?
Answer:
3 pages/minute
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
a hour is 60 minutes so half of that is 30 30÷90=3
Which statement is the most appropriate comparison of the spreads?
O A. The interquartile range (IQR) for town A, 45°, is less than the IQR
for town B, 50°
B. The interquartile ranges (IQRs) for towns A and B are both 30°.
C. The interquartile range (IQR) for town A, 15°, is less than the IQR
for town B, 20°
D. The standard deviation for town A, 15°, is less than the standard
deviation for town B, 20°.
Answer: C. The interquartile range (IQR) for town A, 15°, is less than the IQR for town B, 20°
Step-by-step explanation:
Picture
Just answer the question if you actually answer it you get brainliest and 50 points.
Step-by-step explanation:
f(x) = a * b^x
We have the following information:
f(0) = a * b^(0) = 15. => a * 1 = 15, a = 15.
f(1) = a * b^(1) = 9. => a * b = 9, (15) * b = 9, b = 0.6.
Hence f(x) = 15 * 0.6^x.
What is one of the values for "X" that satisfy the equation x^2 - 7x - 18 ? A.-9 B. no solutions C.9 D.2
Answer:
i think c
Step-by-step explanation:
Evaluate the following Exponential functions. A. g(x) = (1/2)^x – 3
find: 1. g(0) 2. g(1) 3. g(-2)
28,46,25,76,18,25,47,83,44 what's the median,first quartile,third quartile, and interquartile range
Answer:
median: 44
first quartile: 25
third quartile: 61.5
interquartile range: 36.5
Step-by-step explanation:
For the given data set median is 44, first quartile is 25, third quartile is 61.5 and interquartile range is 36.5.
What is the interquartile range?The Interquartile Range (IQR) formula is a measure of the middle 50% of a data set. The smallest of all the measures of dispersion in statistics is called the Interquartile Range. The difference between the upper and lower quartile is known as the interquartile range.
Formula to find the interquartile range is Interquartile range = Upper Quartile - Lower Quartile =Q2=Q3-Q1
The given date set is 28,46,25,76,18,25,47,83,44.
The data in order 18,25,25,28,44,46,47,76,83.
Here,
Median =44
First quartile=Q₁=25
Third quartile=Q₃= (47+76)/2
= 61.5
Now, interquartile range (IQR)
= Q₃-Q₁
= 61.5-25
= 36.5
Therefore, for the given data set median is 44, first quartile is 25, third quartile is 61.5 and interquartile range is 36.5.
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Simplify x^−7. Write your answer using only positive exponents.
x-7 Is how you simplify
Positive form is 1/x/7
solve for x and y. please help. will give brainiest
Plz refer the picture
plz mark as brainliest
Simplify: x + (x-y) + y + (y-x)
Answer:
x+y
Step-by-step explanation:
It is x+y because if you look at (x-y) and (y-x) they can cancel with each other since x- x and -y+y. All that's left is x+y
what radical expression is equivalent to b^1/4
Answer:
4 √b
Step-by-step explanation:
It was on Khan, I have no clue what I'm doing
Mr. Bradley is building a storage closet. He has four boards that are 9 feet long. He needs to cut boards into 18 inches long. What is the greatest number of 18-inch pieces that Mr. Bradley can cut from the four wooden boards? (1-foot = 12 inches)
PLEASE HELP. And dont answer if you dont know please it just a waste of time. This is a test
Answer:
The answer would be 6
2. What is the equation of the line that passes through (4, -5) and (6, -9)?
What is the standard form of y + 2 =1/2(x - 4)?
Find the slope-intercept form of the equation
of the line that passes through (-1,5) and is parallel
to 4x + 2y = 8.
What is the equation of a line with a slope 7
and a y intercept of - 10?
Find the simple interest for 3 years at a rate of 5% on $200
Answer:
The simple interest is $30
Step-by-step explanation:
To find this, we use the simple interest formula
Mathematically, this is;
I = PRT/100
P is the principal = $200
R is the rate = 5%
T is the time = 3 years
Substituting these values, we have;
I = (200 * 5 * 3)/100
I = $30
On the youth soccer team 3 out of 12 team members have played in previous years. Based on this information , if 180 kids are in the youth soccer league , then how many could be expected to have played the year before
Answer:
its 3/12 ×180 which is 1/4 of 180 as similar which is = 45. So we find out that 45 members where involved last year in youth soccer league.
Please help ASAP !!!
Multiply it by 12 and subtract 13 and the result is 47
Answer:
The number is 5 as 5x12=60 60-13=47
Identify the function graphed.
Answer:
its B, A, C
Step-by-step explanation:
correct on edge
What is the value of the expression (5)³?
Answer:
125
Step-by-step explanation:
5³ = 5 · 5 · 5 = 125
Answer:
125
Step-by-step explanation:
(5)^3 = 5*5*5
5*5*5= 25*5= 125
Hope it helped :))
State the domain: x^2 +16x+64
Answer:
All real numbers
Step-by-step explanation:
x² + 16x + 64 is a parabola that opens up, when graphed.
This means it will have a U shape that will infinitely extend outwards in both directions, across the x axis.
So, the domain will include all real numbers.