Answer:
The equation is [tex]y-(-8) = 4(x-2)[/tex].
Step-by-step explanation:
The point-slope form of a line is represented by the formula [tex]y-y_1 = m (x-x_1)[/tex]. In order to write an equation of a line in point-slope form, we would need to substitute real values for the [tex]m[/tex], [tex]x_1[/tex], and [tex]y_1[/tex] in the formula.
Since [tex]m[/tex] represents the slope of the line, substitute 4 in its place. Since [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of one point the line intersects, substitute the x and y values of (2,-8) in the formula as well. Substitute 2 for [tex]x_1[/tex] and -8 for [tex]y_1[/tex]. This results in the following equation and answer:
[tex]y-(-8) = 4(x-2)[/tex]
(Usually, we would simplify the double negatives on the left side to a positive, but because you have to type the values in to answer the problem and cannot change the written negative sign already visible in the equation, that would be the answer. I believe you can just type in -8 for the first box.)
5. What is the slope of this graph?
a) m = 2/3
b) m = -2/3
c) m = 3/2
d) m = -3/2
6. What is the slope of this graph?
a) m = 2/3
b) m = -2/3
c) m = 3/2
d) m = -3/2
answers for 5 and 6
5) C
6) B
Step-by-step explanation:
hope this helped
A corner store sells two kinds of baked goods: cakes and
pies. A cake costs $11 and a pie costs $6. In one day, the
store sold 9 baked goods for a total of $84. How many
cakes did they sell?
Answer:
They sold 4 cakes
and 5 pies...
Step-by-step explanation:
four cakes cost $44 and 5 pies cost $30
44+30= 84
really I just used trial and error by plugging in numbers.
hope this helps chu <3
if m<AFC= 150°, what is m<CFD
Answer:
30
Step-by-step explanation:
These are djacent angles ( two angles that have the same vertex, share a side, and do not overlap) The 2 angles form a linear pair The measure of a straight angle is 180 degrees, so a linear pair of angles must add up to 180 degrees.
If one angle is 150 then the other angle must be 30
150+30 = 180
find the distance between the two points in simplest radical form (6,-2) and (-1,4)
Answer:
13
Step-by-step explanation:
If you were to plug the points into a graph you would have to go down 6 over 7 making it 13
I need help I'm confused.
Answer:
ok
Step-by-step explanation:
find the mode for data set 3, 2, 8, 5, 1, 4, 4, 3, 4, 5,
Answer:
Mode is 4
Step-by-step explanation:
Heidi lost an average of 4 pounds a month for five months. What was her total weight loss?
Answer:
20 lbs
Step-by-step explanation:
is heidi dieting cuz thats good!
4 lbs x 5 months = 20 lbs
Cho has sold 28 bags and his goal is to sell 100 bags write an inequality to show how many more bags he needs to sell
Answer:
x ≤ 72
He needs to sell 72 more bags.
Step-by-step explanation:
Cho has sold 28 bags and his goal is to sell 100 bags write an inequality to show how many more bags he needs to sell
Let x represent the number of bags he needs to sell
28 + x ≤ 100
x ≤ 100 - 28
x ≤ 72
Therefore he needs to sell 72 more bags.
trigonometry please help! work need to be shown please
Answer:
x = 9.83
Step-by-step explanation:
Reference angle = 55°
Opposite = x
Hypotenuse = 12
Apply trigonometric function SOH:
Sin 55 = Opp/Hyp
Sin 55 = x/12
12 × Sin 55 = x
9.82982453 = x
x = 9.83 (nearest hundredth)
If f(x) = 3LX-2], what is f(5.9)? 9 10 11 12
Answer: 12
Step-by-step explanation:
We know that , the ceiling function y = [x] is also known as the least integer function that gives the smallest integer greater than or equal to x.
For example : For x= 1.5
y = [1.5] =2
For x= 3.64
y = ⌊3.64⌋=4
The given function :
Then, for x= 5.9 , we have
[since [3.9]=4 (least integer function)]
Therefore, the value of f(5.9) is 12
The value of the function f(5.9) will be 12. The correct option is D.
What is a function?In mathematics, a function is a rule that assigns a unique output value to each input value in a specified domain. A function is often denoted by a letter such as f, and we write f(x) to represent the output value associated with an input value x.
We know that the ceiling function y = [x] is also known as the least integer function that gives the smallest integer greater than or equal to x.
For example: For x= 1.5
y = [1.5] =2
For x= 3.64
y = ⌊3.64⌋=4
The given function :
Then, for x= 5.9, we have
F[3.9]=4 (least integer function)]
Therefore, the value of f(5.9) is 12.
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The rabbit population in Jefferson County, which is currently at 8,400 rabbits, is increasing by 5% each year. How many rabbits will there be in 7 years?
Answer:
11,340
Step-by-step explanation:
5% = 420 420 x 7 = 2940
2940 + 8400 = 11,340
the perimeter of a rectangle is (10x2).if it's width is (2x-1),which expression represents the length
a.5x-2
b.3x+2
c.8x+3
d.12x+1
Answer: b. 3x + 2
Step-by-step explanation:
2l + 2w = p
2l + 2(2x - 1) = 10x + 2
2l + 4x - 2 = 10x + 2
2l = 6x + 4
l = 3x + 2
Please help me with math!!!!!
Answer:
We need for inforamtion like what is the volume for both of the shapes
Step-by-step explanation:
Please help I will give brainliest
Answer:
x ≥ -6
Step-by-step explanation:
The arrow is directing towards the right, in which the line contains number greater than -6. Moreover the circle on top of -6 is closed, proving that it is 'greater than or equal to'. (if it was greater than, the circle on top of the number would be open; the inner part of the circle wouldn't be shaded)
(d)
2 m
-10 m
6 m
4 m
15 m
14 m
20 m
Answer:
its d
Step-by-step explanation:
Plz help
Rewrite the fraction in the sentence below as a percentage.
In 2010, a fire destroyed
3/10 of the farmer's crops.
Answer: 30%
Step-by-step explanation:
Method 1:
The original fraction is [tex]\frac{3}{10}[/tex]
To convert to a percent, the denominator should be equal to 100 (since percent is per 100)
Multiply the top and bottom by 10
[tex]\frac{3}{10} * \frac{10}{10} = \frac{30}{100}[/tex]
Since the numerator is 30, 3/10 as a percent is 30%
Method 2:
The original fraction is [tex]\frac{3}{10}[/tex]
To convert to a percent, first convert the fraction to a decimal (do 3 ÷ 10)
0.3
10 | 3 0
-30
-------------
0
You get 0.3
Now multiply the decimal by 100
0.3 * 100 = 30
30%
Method 3:
The original fraction is [tex]\frac{3}{10}[/tex]
[tex]\frac{3}{10} = \frac{x}{100} \\10x = 300\\x = 30[/tex]
cross-multiply to solve the equation
30%
What’s is 3+4+8+9+2+5+6+7=
Answer:
44
Step-by-step explanation:
I just used mental math soooo.......
have a great day luvs <3
Answer:
44
Step-by-step explanation:
3+4+8+9+2+5+6+7=
7+8+9+2+5+6+7=
15+9+2+5+6+7=
24+2+5+6+7=
26+5+6+7=
31+6+7=
37+7= 44
44 = 44
for f(x) = 5x - 7 and f(x) = -3, what is the value of x
Answer:
Step-by-step explanation:
hello :
f(x) = 5x - 7 and f(x) = -3
5x - 7 = -3
5x=7-3
5x=4
x=4/5
Answer:
x = 4/5
Step-by-step explanation:
5x - 7 = -3
5x = -3 + 7
5x = 4
x = 4/5
Check:
5*4/5 - 7 = -3
4 - 7 = -3
If sally invests $400 into the Bank of Reyonds that offers her a 6% interest, compounded monthly, how much money will she have in the bank in 5 years?
Given:
Principal = $400
Rate of interest = 6% compounded monthly
Time = 5 years.
To find:
The amount in the bank after 5 years.
Solution:
The formula for amount is:
[tex]A=P\left(1+\dfrac{r}{n}\right)^{nt}[/tex]
Where, P is principal, r is the rate of interest, n is the number of time interest compounded in an year and t is the number of year.
Interest compounded monthly. So, [tex]n=12[/tex].
Putting [tex]P=400, r=0.06, n=12[/tex] and [tex]t=5[/tex], we get
[tex]A=400\left(1+\dfrac{0.06}{12}\right)^{12(5)}[/tex]
[tex]A=400\left(1+0.005 \right)^{60}[/tex]
[tex]A=400\left(1.005 \right)^{60}[/tex]
[tex]A\approx 539.54[/tex]
Therefore, the amount of money in the bank after 5 years is $539.54.
HELP DUE AT MIDNIGHT TN
Answer:
102
Step-by-step explanation:
These angles are congruent due to corresponding angles thm
3x + 21 = 6x - 60
3x - 6x = -60 - 21
-3x = -81
x = 27
3x + 21
3(27) + 21
81 + 21
102
Leo has a lock box with a volume of 312 cubic inches. The box is 4 inches high and 13 inches long. What is the width of the box?
Answer:
6in
Step-by-step explanation:
Given data
Volume of the lockbox= 312 cubic inches
Height= 4in
Length= 13in
Width= ???
The expression for the volume of box is
V= L*W*H
substitute
312=13*W*4
312=52W
W= 312/52
W=6 in
Hence the width is 6in
Solve for ppp. -5\left(p+\dfrac35\right) = -4−5(p+ 5 3 )=−4minus, 5, left parenthesis, p, plus, start fraction, 3, divided by, 5, end fraction, right parenthesis, equals, minus, 4
Answer:
p = 1
Step-by-step explanation:
4 - 5(p + 3/5) = -4
Find P
4 - 5(p + 3/5) = -4
4 - 5p -15/5 = -4
4 - 5p - 3 = -4
-5p + 1 = -4
-5p = -4 - 1
-5p = -5
p = -5/-5
p = 1
Check:
4 - 5(p + 3/5) = -4
4 - 5(1 + 3/5) = -4
4 - 5 - 15/5 = -4
4 - 5 - 3 = -4
4 - 8 = -4
-4 = -4
Answer:
ITS HELLA 1/5 NOT 1
Step-by-step explanation:
>:(
Solve for x: 6x + 1 = -23
Answer:6x=-23 - 1
6x=-24
X=-4
Step-by-step explanation:
please can anyone help me??
Answer:
140 DEGREES
Step-by-step explanation:
160-20=140
Can someone help me with math and thanks .!
Answer:
Step-by-step explanation:
1. A: 147 Degrees B: 33 Degrees
2. A: 121 Degrees B: 59 degrees
It would be the same as the other side.
Caylee buys an item that is $15.00, and uses a 10% off coupon. How much does she save by using the coupon? *
Answer:
Caylee saved $1.5 by using the coupon.
Step-by-step explanation:
In order to find the amount that Caylee saved by using the coupon, you have to calculate 10% that is the discount percentage of the price of the item which is $15:
$15*10%=$1.5
According to this, the answer is that Caylee saved $1.5 by using the coupon.
Consider a quadratic equation with integer coefficients and two distinct zeros. If one zero is irrational, what is true about the other zero
Answer:
Step-by-step explanation:
irrational roots always occur in pairs.
Other root is also irrational and is negative of first zero.
If a quadratic equation with integer coefficients and two distinct roots have one irrational root then another root is also irrational .
What is quadratic equation ?Any equation of the form [tex]ax^{2}+bx+c=0[/tex] where x is variable and a, b, and c are any real numbers where a ≠ 0 is called quadratic equation .
Let assume quadratic equation is
[tex]ax^{2}+bx+c=0[/tex]
Given that coefficients are integer and roots are distinct
we know root of quadratic equation are
[tex]x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}[/tex]
As roots are distinct
[tex]b^2-4ac > 0\\[/tex]
and one root is irrational so [tex]b^2-4ac[/tex] is not a perfect square
Hence another root is also irrational .
If a quadratic equation with integer coefficients and two distinct roots have one irrational root then another root is also irrational .
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0f the 64 students in grade five, 3/8 of them either walk or ride a bike to school. The rest take a bus. How many fifth graders take a bus to school? *
Use synthetic division to divide x^3-8x^2+9x-5 by x-3
Answer:
x^2 - 6x - 6, remainder -23
Step-by-step explanation:
Start like this:
3 | 1 -8 9 -5
|
--------------------------------
First step is to copy the 1 to below the line.
3 | 1 -8 9 -5
|
--------------------------------
1
Now multiply 3 by 1 and write below the -8. Then add the product to the -8 and write the sum below the line.
3 | 1 -8 9 -5
| 3
--------------------------------
1 -5
Now multiply 3 by -5 and write below the 9. Then add the product to the 9 and write the sum below the line.
3 | 1 -8 9 -5
| 3 -15
--------------------------------
1 -5 -6
Now multiply 3 by -6 and write below the -5. Then add the product to the -5 and write the sum below the line.
3 | 1 -8 9 -5
| 3 -15 -18
--------------------------------
1 -5 -6 -23
Answer: x^2 - 6x - 6, remainder -23
The solution is, x^2 - 6x - 6, and, the remainder -23.
What is division?Division is the process of splitting a number or an amount into equal parts. Division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers. The other operations are addition, subtraction, and multiplication.
here, we have,
divide x^3-8x^2+9x-5 by x-3
Start like this:
3 | 1 -8 9 -5
|
--------------------------------
First step is to copy the 1 to below the line.
3 | 1 -8 9 -5
|
--------------------------------
1
Now multiply 3 by 1 and write below the -8. Then add the product to the -8 and write the sum below the line.
3 | 1 -8 9 -5
| 3
--------------------------------
1 -5
Now multiply 3 by -5 and write below the 9. Then add the product to the 9 and write the sum below the line.
3 | 1 -8 9 -5
| 3 -15
--------------------------------
1 -5 -6
Now multiply 3 by -6 and write below the -5. Then add the product to the -5 and write the sum below the line.
3 | 1 -8 9 -5
| 3 -15 -18
--------------------------------
1 -5 -6 -23
Hence, Answer: x^2 - 6x - 6, remainder -23
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Determine whether the data described in the tables is best modeled by a linear function or an exponential function.
Answer: Tigers: Linear Function
Narwhals: Linear Function