Answer:
5(4x+3)
5×4x + 5×3
20x+15
Graph the line that has a slope of 1/6 and includes the point (0, 7).
What is a slope?
The slope or gradient of a line is a number that describes both the direction and the steepness of the line. It is denoted my letter 'm'
y = m x + c
m is the slope
Given data ,
Let the point be P ( x , y ) = P ( 0 , 7 )
Slope m of line = 1 / 6
The equation of line where the point P ( 0 , 7 ) and slope 1/6 is calculated by
y = m x + c
Substitute the values of x and y in the equation , we get
7 = ( 1/6 ) × 0 + c
So , c = 7
Therefore , the equation becomes y = ( 1 / 6 ) x + 7
Hence , the graph of the equation can be described
What is the vertex of the parabola given by y = x2 − 10x + 17? A. (5, -8) B. (-5, 8) C. (5, 8) D. (-5, -8)
Answer:
A
Step-by-step explanation:
Given a parabola in standard form
y = ax² + bx + c ( a ≠ 0 ), then
The x- coordinate of the vertex is
[tex]x_{vertex}[/tex] = - [tex]\frac{b}{2a}[/tex]
y = x² - 10x + 17 ← is in standard form
with a = 1 and b = - 10, thus
[tex]x_{vertex}[/tex] = - [tex]\frac{-10}{2}[/tex] = 5
Substitute x = 5 into the equation for corresponding value of y
y = 5² - 10(5) + 17 = 25 - 50 + 17 = - 8
vertex = (5, - 8 ) → A
A student solved the following system of equations
incorrectly using these steps:
2x + 5y = 13
-x + 4y = 13
What error did the student make?
In line 2, the student forgot to multiply the
right side of the equation by 2.
In line 3, the student should have subtracted
the equations instead of adding them.
In line 3, the student added the two equations
incorrectly
In line 5. the student used an incorrect
equation when solving for x
1 2x + 5y = 13
2 + -2x + 8y = 13
3
13y = 26
4
y = 2
DONE
5
6
7
8
2x + 5(2) = 13
2x + 10 = 13
2x 3
X = 1.5
The solution to the system is (1.5.2).
5Intro
Answer:
if the solution to the system is 1.5 and 2
Then the mistake was in line 2 the student should have subtracted the eqations instead of adding them.
Step-by-step explanation:
if y = 2
Then 8y -5y = 3y
4x -x = (4 = 1.5 x 2 2/3) =4 if x = 1.5
3y = 2 2/3 = 3 if y = 2
The ratio stays the same.
The student mistake was in line 2, the student forgot to multiply the
right side of the equation by 2.
What is equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Given:
2x + 5y = 13
-x + 4y = 13
The first steps are correct.
In second step the LHS and RHS both should be multiplied by 2.
So,
-2x + 8y = 26
But, the student only multiply 2 on the LHS side.
Hence, the student mistake was in line 2, the student forgot to multiply the right side of the equation by 2.
Learn more about equation here:
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whats 1- 4/6 pls tell me the answer pls don't write weird thing just to get points
Answer:
1- 4/6 = 2/6 or 1/3.
Answer:
1/3
Step-by-step explanation:
1 - 4/6
Replace 1 with 6/6
6/6 - 4/6
2/6
Divide the top and bottom by 2
1/3
a cyclist rides his bike at a rate of 10 miles per hour. what is this rate in kilometers per hour? how many kilometers will the cyclist travel in 4 hours? in your computations assume that 1 mile is equal to 1.6 kilometers. DO NOT ROUND YOUR ANSWER
Answer:
64
Step-by-step explanation:
speed of cyclist = 10 miles per hour
given 1 mile is equal to 1.6 kilometres.
1*10 miles will be equal to 1.6*10 kilometres
thus , 10 mile is equal to 16 kilometres
using 16 km in place of 10 miles in 10 miles per hour
we have
speed of cyclist = 16 kilometres per hour
we know that distance = speed * time
speed is 16 kilometres per hour
time 4 hours
thus , distance = 16*4 kilometres= 64 kilometres.
cyclist will travel 64 kilometres in 4 hours.
2 Points
Which of the following show an element of the sample space for flipping 2
coins? (H = Heads, T = Tails)
Check all that apply.
| A. TH
В. ТТ
C. HH
D. HT
what does X equal to ?
Answer: x=7
Step-by-step explanation:since the diagonal line divides the angle into half, and it’s a square, so the angle would be 90 degree /2 = 45 degree.
so 4x+17 = 45, 4x = 28, x = 7
Aisha wants to paint the four walls of her living room. Each wall is 2.1 m high and 4.5 m long. One wall has a door of 1.8 m by 0.9 m. Tins of paint cost £10 per 1.5 L tin. Each litre of paint can cover 12 m2 of wall. There is an offer of: Buy 2 tins get the 3rd at half price. How much will Aisha pay to paint her living room?
Answer:
£25 or £20.10
Step-by-step explanation:
calculate the area to be painted:
2.1x4.5= 9.45m^2 for each wall
x4= 37.8m^2
area of door= 1.8x0.9= 1.62m^2
subtract the area of the door from the wall area
37.8-1.62= 36.18m^2 to be painted
divide the area by the area that 1L of paint can cover
16.18/12= 3.015 L needed
if 1.5L= £10 then, 3L= £20. she needs 2 cans + an extra 0.015 L- so another can (3 cans total) add price up.
£30- but buy 2 get 3rd 1/2 price, so take £5 off. price is £25
or
calculate price for 0.015L
1.5=£10
divide both sides by 100
0.015= £ 0.10
if 1.5L= £10 then, 3L= £20. she needs 2 cans + an extra 0.015 L
£20+£0.10= £20.10
I DONT KNOW IF THIS IS RIGHT but hope it helps :)
Answer: 25
Step-by-step explanation:
Lewis told me
Find the slope-intercept form of an equation for the line that passes through (–1, 2) and is parallel to y = 2x – 3.
Question 2 options:
a)
y = 2x + 3
b)
y = –0.5x – 4
c)
y = 2x + 4
d)
y = 0.5x + 4
Answer:
c) y= 2x +4
Step-by-step explanation:
Slope-intercept form:
y= mx +c, where m is the gradient and c is the y-intercept.
Parallel lines have the same gradient.
Gradient of given line= 2
m= 2
y= 2x +c
To find the value of c, substitute a pair of coordinates into the equation.
when x= -1, y=2,
2= 2(-1) +c
2= c -2
c= 2 +2
c= 4
Thus, the equation of the line is y= 2x +4.
Television sets used to come with an aspect ratio of 4:3 (width is 4 units and height is 3 units). Since broadcast channels in the United States are now broadcasting in 16:9, most newer sets come with a 16:9 aspect ratio. Your brother believes that since you can rewrite the ratio 16:9 as 42:32, that means a 4:3 television set is similar to a 42:32 television set. Is this true? What argument would you use to clarify your or your brother’s thinking? What are the dimensions of a television set that would be similar to the 4:3 set?
Answer:
4×3=12
Step-by-step explanation:
all i did was multiple 4 times 3 and i came up with my answer
Answer:
78 percent wider than higher
Step-by-step explanation:
An architecture firm makes a blueprint
for a building with scale 1 in. = 8 ft. If
the building's length is 82 feet, what is
the length of the blueprint?
Answer:10.25
Step-by-step explanation:
What is the surface area of the cube below?
5 m
5 m
5 m
150 m 2
125 m 2
50 m 2
25 m 2
Answesr:
À
Step-by-step explanation:
A cube has faces of equal measurements so u multiply the area of one face with 6
(5×5)6=150
Answer:
150 m 2
A
Step-by-step explanation:
How does the graph of f(x) = (x - 1)2 relate to the basic function f(x) = x??
a.
shift 1 unit to the left
shift 1 unit to the right
C.
d.
shift 1 unit up
shift 1 unit down
b.
Please select the best answer from the choices provided
Answer:
Shift 1 unit to the right, i.,e. option (c).
Step-by-step explanation:
Note: Both functions can not be represented by f(x) and square is missing in basic function.
The given basic function is
[tex]f(x)=x^2[/tex]
The given function is
[tex]g(x)=(x-1)^2[/tex]
So, the given function can be written in the form of basic form as
[tex]g(x)=f(x-1)[/tex] ...(1)
The translation is defined as
[tex]g(x)=f(x+a)2+b[/tex] .... (2)
If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.
If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.
On comparing (1) and (2), we get
[tex]a=-1,b=0[/tex]
Therefore, graph of f(x) shift 1 unit to the right to get graph of g(x).
Answer:
It C
Step-by-step explanation:
The polygon below is a regular octagon
Calculate the sides of the angles x and y.
Answer:
x = 135 y = 45
Step-by-step explanation:
The sum of the measure of interior angles can be found by equation
(n - 2) x 180 n is the number of sides
(8 - 2)180 = 1080
Sum of measure of interior angles is 1080 degrees. Variable x, which we are solving for, it the measure of one interior angle. To find x, divide 1080 by 8 to find the measure of one interior angle.
1080 / 8 = 135
x = 135 degrees
We know that a trapezoid like the one formed in the octagon has 2 pairs of congruent angles. we know two of the angles already, as they are the measure of one interior angle, or 135 degrees. The sum of the measure of interior angles of a trapezoid is 360 degrees.
360 - 2(135) = 90
The sum of the remaining two angles of the trapezoid are 90 degrees. These two angles are equal, so divide 90 by 2.
90 / 2 = 45
y = 45 degrees.
135 45 Answer:
Step-by-step explanation:
Which expression is equivalent to RootIndex 3 StartRoot x Superscript 5 Baseline y EndRoot?
x Superscript five-thirds Baseline y
s Superscript five-thirds Baseline y Superscript one-third
x Superscript three-fifths Baseline y
x Superscript three-fifths Baseline y cubed
Answer:
The correct option is B:
B) x superscript five-thirds Baseline y superscript one-third
Step-by-step explanation:
The expression can be written as:
[tex]\sqrt[3]{x^5y}[/tex]
We know that cube root can also be written as the power of 1/3, So
[tex]\sqrt[3]{x^5y} = (x^5y)^{1/3}[/tex]
Multiplying the power with both variables
[tex](x^5y)^{1/3} = x^{5\cdot1/3}\cdot y^{1\cdot1/3}[/tex]
Simplifying the equation to get final form
[tex]x^{5\cdot1/3}\cdot y^{1\cdot1/3} = x^{5/3}\cdot y^{1/3}[/tex]
As we can see that it is similar to the option B which is
B) x superscript five-thirds Baseline y superscript one- third
the correct option is B
The expression which is equivalent to RootIndex 3 StartRoot x Superscript 5 Baseline y EndRoot is;
x Superscript five-thirds Baseline y Superscript one-thirdThe expression can be written as;
[tex] \sqrt[3]\frac{{ {x}^{5} } }{y} [/tex]
In essence, Upon simplification; we have;
x⁵ ^(1/3) × y^(-1/3)Therefore, we have;
x^(5/3) × y (-1/3)The expression therefore becomes;
[tex] \frac{ {x}^{ \frac{5}{3} } }{ {y}^{ \frac{1}{3} } } [/tex]
Read more on indices;
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Hello, this is the owner sister, but can you please help me?b Please dont remove this for silly things
7. Bud and his friends stopped at a local fast food restaurant after the football game Friday night. Bud ate a one-fourth pound cheeseburger and a large order of fries. The cheese
30 grams of total fat. If the recommended daily allowance of total fat for a 2,000 calorie diet is 64 grams, what percent of the daily allowance did Bud have when he ate the cheeseburger
Answer:
46.875 %
Step-by-step explanation:
30 grams of fat out of 64 grams
30/64 =.46875
Change to percent form
46.875 %
Answer:46.875
Step-by-step explanation:
PLEASE HELP ITS TIMED!!
What are the limitations of the ski slope scenario as a real-life example?
Answer:
the slope exists is a fairly major issue, using imaginary concepts allows for more freedom of geometric expression (subspace and hyperspacial theory). Since it is purely theoretical and imaginary greater freedom is offered to generate theories and structures.
Step-by-step explanation:
Suppose statement p is true but statement q is false. Which of these compound statements are true? Check all that apply. p ∧ q, p ∨ q, p → q, q → p, p ↔ q, q ↔ p
Answer: the answer is p v q and q -> p
Step-by-step explanation:
edg 2022
What problem can be solved by the equation ? 2.50x-2.00=10.50
Answer:
Joe earns $2.50 for every dog he walks. He also owes $2 to his mom. How many dogs does he need to walk in order for him to get $10.50
Answer:
5.004
Step-by-step explanation:
You have to add 2.00 to the other side of 10.50 and add them both because they are positive and u should get you number 12.50 and brin down 2.50 and divide and u should get ur answer.
Which of the following terms correctly describe the object below?
Check all that apply.
Answer:
Pyramid
Step-by-step explanation:
Because a pyramid has a polygon as its base
Answer:
The correct answers are A. polyhedron. and C. pyramid
Step-by-step explanation:
HELP PLEASE HELP !!!!!!!The net of a triangular prism is shown. Use the ruler provided to measure the
dimensions of the net to the nearest half centimeter.
Which measurement is closest to the total surface area of the triangular prism in
square centimeters?
Answer:
B
Step-by-step explanation:
The total surface area of the triangular prism is 14 cm². Then the correct option is B.
What is a triangular prism?A triangular prism is a closed solid that has two parallel triangular bases connected by a rectangular surface.
A triangular prism is a 3D shape with two identical faces in the shape of a triangle connected by three rectangular faces.
A triangular prism is a three-sided prism; it is a polyhedron made of a triangular base, a translated copy, and 3 faces joining corresponding sides. A right triangular prism has rectangular sides, otherwise it is oblique.
A prism with the cross-section of a triangle.
The total surface area of the triangular prism will be :-
3(rectangles area) + 2(area of the triangle)
The area of the triangle will be :-
1/2 x base x height
= 4 units²
The area of the rectangle will be :-
length x width
= 2 x 1 = 2 units²
Then the total area will be :-
3(2) + 2(4) = 6+8 = 14 units²
The total surface area of the triangular prism is 14 cm². Then the correct option is B.
More about the triangular prism link is given below.
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If you travel 200 miles in 300 minutes. How
fast did you travel in MPH...mile per hour?
Answer:
40 miles per hour
Step-by-step explanation:
Change 300 minutes to hours. There are 60 minutes to hours
300 minutes * 1 hour/ 60 minutes = 5 hours
Now take the miles and divide by hours
200 miles / 5 hours = 40 miles per hour
Answer: 40 mph
Step-by-step explanation: 300 minutes is 5 hours. 40 mph for 5 hours is 200 miles traveled.
What are the coordinates of point P on the directed line segment from A to B such that P is One-fourth the length of the line segment from A to B? (StartFraction negative 29 Over 4 EndFraction , negative three-halves) (negative thirteen-fourths, one-half) (negative eleven-fourths, negative one-half) (twenty-five-fourths, negative one-half)
Answer:
Option C is the correct answer.
Step-by-step explanation:
Given:
The coordinates of the point A and B are (-5,-1) and (4,1)
The point P on the directed line segment from A to B such that P is One-fourth the length of the line segment from A to B.
Thus, we have;
m=1 and m+n=4
We need to determine the coordinates of the point P(x,y)
x - coordinates of the point P:
The x - coordinates of the point P can be determined using the formula
x=(m/m+n)(x₂ - x₁)+ x₁
Substituting the values, we get;
x= 1/4(4+5)-5
x = 9/4-5
x = -11/4
Thus, the x - coordinate of the point P is -11/4
y - coordinate of the point P:
The y - coordinate of the point P can be determined using the formula,
y=(m/m+n)(y₂ - y₁)+ y₁
Substituting the values, we get;
y= 1/4(1+1)-1
y = 2/4-1
y= -2/4
y= -1/2
Thus, the y - coordinate of the point P is -1/2
Therefore, the coordinates of the point P is (-11/4, -1/2)
Hence, Option C is the correct answer.
please mark me brainliest!
Answer:
C
Step-by-step explanation:
I just did it on edge
I need help with this too....Thanks In advance and will.give you five star and brainlist....
Answer:
1/8
Step-by-step explanation:
I think you mean under 5 minutes
1/4*1/2
1/8 probability that the next call will be a customer complaint and will be dealt with under five minutes
(I am not sure if I'm correct with the proportions)
Robert climbed 775 steps in 12 1/2 minutes. How many steps did he average per minute
Answer:
62
Step-by-step explanation:
Because 775 divided by 12 1/2= 62
solve for 3x2 + 15x = 12
Step-by-step explanation:
3x2 pls is this multiplication sign or it is (x)
What is the domain of f(x)=√(x)?
Answer:
f(x)=√x f ( x ) = x is x≥0 x ≥ 0
Step-by-step explanation:
The domain of the function f(x)=√x f ( x ) = x is x≥0 x ≥ 0 . The range of a function is the set of results, solutions, or ' output ' values (y) to the equation for a given input.
Two angles add to 90°. The larger angle is 12° more than five times the measure of the smaller angle. Find the measure of the two angles.
Answer:
13 and 77 degrees
Step-by-step explanation:
First, you start by subtracting 12 from the 90..
90 - 12 = 78
then, take 78 and divide it by 6.
78/6 = 13
13 is the measure of your smaller angle.
multiply 13 by 5 and then add 12 to find the measure of the larger angle.
13 x 5 = 65
65 + 12 = 77
77 is the measure of your larger angle.
