Answer:
Answer. We know that point slope form of a linear equation is y - y₁ = m(x - x₁). Given: m = 4, x₁ = -1, y₁ = -3.
Step-by-step explanation:
11.
The domain of f(x) is [4, 5, 6]. If f(x) = 3x + 2, what is the range?
Answer:
The range of the function is:
Range R = {14, 17, 20}
Step-by-step explanation:
Given the function
[tex]f(x) = 3x + 2[/tex]
We also know that range is the set of values of the dependent variable for which a function is defined.
In other words,
Range refers to all the possible sets of output values on the y-axis.We are given that the domain of the function is:
Domain D = {4, 5, 6}
Now,
substituting x = 4 in the function
f(4) = 3(4) + 2
f(4) = 12 + 2
f(4) = 14
substituting x = 5 in the function
f(5) = 3(5) + 2
f(5) = 15 + 2
f(5) = 17
substituting x = 6 in the function
f(6) = 3(6) + 2
f(6) = 18 + 2
f(6) = 20
Thus, we conclude that:
at x = 4, y = 14
at x = 5, y = 17
at x = 6, y = 20
Thus, the range of the function is:
Range R = {14, 17, 20}
Line equations from point/slope
Answer:
The answer is
[tex]y = \frac{1}{4} x + 3[/tex]
Step-by-step explanation:
Plug in and solve the equation. We are trying to find the y-intercept:
[tex]y= \frac{1}{4}x + b \\ 2 = \frac{1}{4} ( - 4) + b \\ 2 = - 1 + b \\ \frac{ + 1 = + 1 \: \: \: \: \: \: \: \: }{3 = b} [/tex]
We found the y-intercept, so now we plug it in it's right full spot in the formula.
[tex]y = \frac{1}{4} x + 3[/tex]
Which statements accurately describe how to determine the y-intercept and the slope from the graph below?
(ANSWERS ARE ALSO IN A PHOTO)
Answer:
C) The third option. To find the y intercept move vertically, to find the slope, y2-y1/x2-x1
Step-by-step explanation:
Find the degree of the polynomial -m^6-10m^3
Answer:
We conclude that:
The degree of the polynomial is 6.Step-by-step explanation:
Given
Given the polynomial
[tex]-m^6-10m^3[/tex]
To determine
The degree of the polynomial
In order to determine the degree of the polynomial, we need to check the term with the highest of the degree with non-zero coefficients. The degree of an individual term is basically the exponent of the term.
In our case,
The exponents of the terms of this polynomial are, in order, 6, and 3.
Thus, the highest degree (larger exponent) of the term is 6.
Therefore, we conclude that:
The degree of the polynomial is 6.What is the surface area of the cylinder with height 3 cm and radius 6 cm? Round your to the nearest thousandth.
Answer:
113.097
Step-by-step explanation:
so Basically to find the area of this cylinder have to set up to equation ((2)6pi)3
first you multiply 2 x 6 getting you 12 then multiply it by pi which in mathematical terms is 37.7 multiplied by 3, getting you 113.097
which can be simplified to 113
The surface area of the cylinder with height 3 cm and radius 6 cm is 340 cm².
What is surface area?The surface area of a figure is the number of unit squares it takes to cover the entire surface without gaps or overlaps. If a three-dimensional figure has flat sides, the sides are called faces.
Given that, the cylinder with height 3 cm and radius 6 cm, we need to find its surface area,
SA of a cylinder = 2 π × radius × (height + radius)
= 2 × 3.14 × 6 × (3+6)
= 2 × 3.14 × 6 × 9
= 339.12
≈ 340
Hence, the surface area of the cylinder with height 3 cm and radius 6 cm is 340 cm².
Learn more about surface area, click;
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You only have to solve one of them but please explain how to do it because I have many more
Given that f(x) = x2 + 10x + 21 and g(x) = x + 7, find (f•g)(x) and express
the result in standard form.
Answer:
[tex](f.g)x = {x}^{2} + 24x + 140[/tex]Step-by-step explanation:
[tex]given \\ f(x) = x ^{2} + 10x + 21 \: and \: g(x) = x + 7[/tex]
[tex]as \: we \: know \: (f.g)x \: is \: same \: as[/tex]
[tex]f(g(x))[/tex]
[tex]so \: [/tex]
[tex]f(x + 7) = ( x + 7) ^{2} + 10(x + 7) + 21[/tex]
[tex]f(x + 7) = {x}^{2} + 14x + 49 + 10x + 70 + 21[/tex]
[tex]f(x + 7) = x^{2} + 24x + 140[/tex]
[tex]therefore [/tex]
[tex](f.g)x = {x}^{2} + 24x + 140[/tex]
PLEASEEEEEEEEEEEEEEEEEEEEEEE HELP ME!!!!
Pleaseeeee someone helpppppp !!!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!
This one is very simple.
The triangle on the left has two equal sides, so the angle on the opposite side of that same triangle is also 52º. That angle is on a 180º line, so the angle right next to it has to be 180º - 52º, so 128º. The other two angles of that triangle are unknown, but still equal because of the sides being the same. So, subtract 128º from 180º to get 52º again, but divide it by two. The angle measurement of x = 26º
Fitness R Us charges $58 to join the club. During January, the club has a markdown of 51% per joining fee. What is the fee in January? plz help me.
Answer:
100-51=49
49/100 x 58
= $28.42
Answer:
28.42
Step-by-step explanation:
the equation would be 58 times .49
58 times .49 is 28.42
guess a number from 1 -10
ill mark u brainliest if u get it right
Answer:
7
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
A company offers a flood insurance policy that costs a
homeowner $200 per year, and the company will make a
payout of $100,000 to the homeowner if they have a
flood in that year. The company set this price based on
the probability of a flood in the area being 0.001.
The table below displays the probability distribution of
X = the company's profit from one of these policies.
Answer:
3,161
Step-by-step explanation:
Khan
express 148.502 in standard form
Pls as soon as possible
Answer:
1.48502 × 10²
Step-by-step explanation:
A number expressed in standard form is
a × [tex]10^{n}[/tex] ( 1 ≤ a < 10 and n is an integer )
Given
148.502 ← express as a number between 1 and 10
1.48502
To obtain the original number we require to multiply by 100 , that is 10²
Thus
148.502 = 1.48502 × 10²
Answer:
[tex]1.48502 \times {10}^{2} [/tex]
Step-by-step explanation:
To convert to standard form, move the decimal point until there is one digit to the left of the decimal point.
Since the decimal point moves to the left, the exponent value goes up. If the decimal point moves to the right, the exponent value gpes down.
In this case, since the decimal point moves to the left twice, then the exponent goes up by 2.
Hope this helps!
Hello will someone please help me with this i really need it!!
Answer:
It was the withdrawal of the Union troops from the South.
Step-by-step explanation:
The South could go back to blatant mistreatment and practically slavery without the oversight of the Northern troops- so all of the progress that was made was for nothing. That was when Reconstruction ended.
Which of the following does not represent a proportional relationship?
A. Nicole earns $5 per hour. How many hours must she work to earn $100?
B. Frances walks 2.2 miles every 30 minutes. If she continues to walk at this rate, how far can she walk in 4 hours?
C. Juanita has 7 ceramic frogs in her collection. In addition, she will receive 3 ceramic frogs for her birthday each year, how many ceramic frogs total will she have in 10 years?
D. The earth rotates on its axis every 24 hours. How many rotations will the earth complete in 15 days?
Order the numbers from least to greatest 2.379, 2.164,2.538,2.386
Answer:
2.164, 2.379, 2.386, 2.538
Step-by-step explanation:
2.164<2.379<2.386<2.538
Answer:
2.164, 2.379, 2.386, 2.538 (least to greatest)
Step-by-step explanation:
The first number is the same so, all that you have to compare is what is after the decimal.
Hope this helped!! :)
Brainliest?!?!
Stay safe and have a wonderful day/night/afternoon!!!
Answer this question for me please
Answer:
-8
Step-by-step explanation:
Answer:
4th one is the right answer.
| x | -2 | 1 | 2 | 3 |
| y | -6 | 3| 6 | 9 |
Step-by-step explanation:
The x and y relationship is in the form y=kx and the graph starts from the origin.
Therefore the graph represents a proportional relationship which holds a equation y=x/3, where k=1/3.
Write the equation of the line in slope intercept form that passes through the point (-3, 5) and is parallel to y= - 2/3x
Answer:
The equation of the line in slope intercept form that passes through the point (-3, 5) and is parallel to y= - 2/3x is [tex]\mathbf{y=-\frac{2}{3}x+3 }[/tex]
Step-by-step explanation:
We need to Write the equation of the line in slope intercept form that passes through the point (-3, 5) and is parallel to y= - 2/3x
The general equation in slope-intercept form is: [tex]y=mx+b[/tex] where m is slope and b is y-intercept.
Finding Slope:
Both the equations given are parallel. So, they will be having same slope.
Slope of given equation y= - 2/3x is m = -2/3
This equation is in slope-intercept form, comparing with general equation [tex]y=mx+b[/tex] where m is slope , we get the value of m= -2/3
So, slope of required line is: m = -2/3
Finding y-intercept:
Using slope m = -2/3 and point (-3,5) we can find y-intercept
[tex]y=mx+b\\5=-\frac{2}{3}(-3)+b\\5=2+b\\ b=5-2\\b=3[/tex]
So, we get b = 3
Now, the equation of required line having slope m = -2/3 and y-intercept b =3
[tex]y=mx+b\\y=-\frac{2}{3}x+3[/tex]
The equation of the line in slope intercept form that passes through the point (-3, 5) and is parallel to y= - 2/3x is [tex]\mathbf{y=-\frac{2}{3}x+3 }[/tex]
Answer:
[tex]\displaystyle y = -\frac{2}{3}x + 3[/tex]
Step-by-step explanation:
5 = –⅔[–3] + b
2
[tex]\displaystyle 3 = b \\ \\ y = -\frac{2}{3}x + 3[/tex]
Parallel equations have SIMILAR RATE OF CHANGES [SLOPES], so –⅔ remains as is.
I am joyous to assist you at any time.
27 = -3x - 9 plssss helppp
Answer:
x = 1-2
Step-by-step explanation:
27 = - 3x - 9
36 = -3x
-12 = x
x = -12
Step-by-step explanation:
27+9=-3x
36=-3x
36 divided by -3=x
-12=x
Find 22÷(−2) need help
Answer:
-11...................
Answer:
-11
Step-by-step explanation:
22/2=11
its negative so make it negative
Tell whether the angles are complementary or supplementary. Then find the value of xx.
Answer:
2x+3x+35 =180
5x+25=180
5x =180-25
5x =155
x= 155/5
x= 31
There are 100 dekameters in 1 kilometer. How many dekameters are in 8.5 kilometers?
Answer:
850.
You just multiply the 8.5 by 100.
Answer:
850
Step-by-step explanation:
50 dkms(dekameters) in 0.5 km(kilometer)
8.5/0.5 =17
17*50 = 850
Can someone help please
9514 1404 393
Answer:
16.4
Step-by-step explanation:
The law of cosines is useful here. It tells you ...
b^2 = a^2 + c^2 -2ac·cos(B)
b^2 = 22^2 +10^2 -2·22·10·cos(44°)
b^2 ≈ 267.49
b ≈ √267.49 ≈ 16.35514
b ≈ 16.4
Originally, Juan borrowed $10, but his mother loaned him $3 more, so he borrowed a total of $13. He sells $25 worth of lemonade in his first week. How much money will he have left after he pays back his mother?
Answer:
$12
Step-by-step explanation:
Juan borrowed $10
His mother loaned him $3 more
= $10 + $3
= $13
He sold $25 worth of lemonade in the first week
If the pays his mother then the amount that will be left with him can be calculated as follows
= $25 - $13
= $12
Answer:
$12
Step-by-step explanation:
got it on edge
find the coordinates of the orthocenter for XYZ with X(-5,-1) Y(-2,4), Z(3,-1)
9514 1404 393
Answer:
(-2, 2)
Step-by-step explanation:
The orthocenter is the intersection of the altitudes. The altitude lines are not difficult to find here. Each is a line through the vertex that is perpendicular to the opposite side.
Side XZ is horizontal, so the altitude to that side is the vertical line through Y. The x-coordinate of Y is -2, so that altitude has equation ...
x = -2
__
Side YZ has a rise/run of -1/1 = -1, so the altitude to that side will be the line through X with a slope of -1/(-1) = 1. In point-slope form, the equation is ...
y -(-1) +(1)(x -(-5))
y = x +4 . . . . . . . . subtract 1 and simplify
The orthocenter is the point that satisfies both these equations. Using the first equation to substitute for x in the second, we have ...
y = (-2) +4 = 2
The orthocenter is (x, y) = (-2, 2).
Explain the purpose of statements and reasons in a formal proof.
Answer:
Find the explanation below.
Step-by-step explanation:
Statements simply state the theorem that is to be proofed. Formal proof in logical sequence connects the hypotheses to the conclusion reached.
Statements and reasons are important because they help to breakdown a theorem, showing in steps and stages how a conclusion was reached. They provide facts that convince the observer that the theorem is indeed true.
A right rectangular prism has edges of 8 feet, 4 feet, and 1/2 foot. How many cubes with side lengths of 1/2 foot would be needed to fill the prism?
Answer:
Step-by-step explanation:
From the question we are told that
Edges of 8 feet, 4 feet, and 1/2 foot
Generally the volume V_p of the right rectangular prism is mathematically represented as
[tex]V_p=8*4*0.5[/tex]
[tex]V_p=16[/tex]
Generally volume of the cube V_c is mathematically given as
[tex]V_c =(\frac{1}{2})^3[/tex]
[tex]V_c =\frac{1}{6}[/tex]
Therefore total number of cubes is given as
[tex]V=\frac{V_p}{V_c}[/tex]
[tex]V=\frac{16}{\frac{1}{6}}[/tex]
[tex]V=96[/tex]
(PLEASE HELP I WILL GIVE BRAINLIEST) Mr. Kircher has a coupon for 30% off to purchase a KV sweatshirt. The sweatshirt was originally priced at $40.
What is the amount of the discount that Mr. Kircher will save?
Answer:
$12
Step-by-step explanation:
30% of 40 = 12
Answer:
its 28.00
Step-by-step explanation:
trust me
find the perimeter......
Step-by-step explanation:
We know that perimeter is the sum of all sides
= 2x³ + 6x + 4x³ - 5x + 6x³ + x
= 12x³ + 2x
= 2x ( 6x² + 1)
Hope it will help :)❤
Chance's family of 5 has 3 2/5 pizzas left over that they want to eat for dinner tonight. If they share the pizza equally, how much does each family member get?
Answer: 17/25 pizza per each family member.