What are the gradients and y intercepts of the following equation

y= x/4 + 3

Answers

Answer 1

Answer:

gradient:  1/4; y-intercept:  3

Step-by-step explanation:

In math, 'gradient' is another word for slope.

Here we have y = (1/4)x + 3.  The coefficient of x is the slope or gradient:  1/4.  The y - intercept is 3:  (0, 3).

Answer 2

Answer:

Step-by-step explanation:

The equation is in y = mx + b form.

Here, m is the slope or gradient and b is the y-intercept.

[tex]y =\dfrac{1}{4}x+3\\\\\\Gradient =\dfrac{1}{4}[/tex]

y-intercept = 3


Related Questions

Mary sells fruit with four of her friends. If the earnings are divided evenly, how
much must the business make in order for each person to earn $30?
What is the variable for this problem?
A. friends
ООО
B. profit ratio
C. expenditures
D. total earnings
E, fruit

Answers

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Let the total money earned be x

since each of them get equal share, therefore :

[tex]\qquad \tt \dashrightarrow \:5 \times 30 = x[/tex]

[tex]\qquad \tt \dashrightarrow \:x = \$150[/tex]

And here, we used Total earning as the variable in the problem ~

So, correct choice is D

Total persons including Mary=4+1=5

Earnings per person =$30

Total earnings

5(30)150$

Option D

can anybody give me the awnser?

Answers

Answer:

48

Step-by-step explanation:

Perimeter is the sum of all the side lengths, so add up the ones you know so far:

4+6+9+13+11

43 + x

x = 11-6

x = 5

43+5 = 48

Hope this helps!

Answer:

48 ft

Step-by-step explanation:

unknow side = 11 - 6 = 5ft

Perimeter = Sum of all sides

                 = 4 + 11 + 13 + 5 + 9 + 6

                 = 48 ft

Find the value of x. If necessary, round your answer to the nearest tenth. The figures are not drawn to scale.

Answers

10•24=240
240=9•x
240=9x
240/9=x
x=26 2/3

The value of the variable 'x' in the circle will be 26.7 units. Then the correct option is D.

What is a circle?

It is the close curve of an equidistant point drawn from the center. The radius of a circle is the distance between the center and the circumference.

In primary mathematics, a statement defines a relationship between the four line segments formed by two crossing chords within a circle.

The equation is form by the above theorem is written as,

9 · x = 24 · 10

Simplify the equation, then we have

9 · x = 24 · 10

9x = 240

x = 240 / 9

x = 26.6667

x ≈ 26.7 units

The value of the variable 'x' in the circle will be 26.7 units. Then the correct option is D.

More about the circle link is given below.

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CALCULATE THE SIDE LENGTHS USING THE GIVEN SCALE.

Answers

Answer:

x = 4 mm

y = 15 mm

Step-by-step explanation:

x = 12 mm / 3 = 4 mm

y = 3 × 5 mm = 15 mm

find 2 cube number that is greater then 20 but less than 50

Answers

[tex] 20\leqslant x {}^{3} \leqslant 50[/tex]

[tex] \sqrt[3]{20} \leqslant x \leqslant \sqrt[3]{50} [/tex]

[tex]2.714 \leqslant x \leqslant 3.684[/tex]

[tex]x = 3[/tex]

[tex]x = 3.5[/tex]

verify your answer:

[tex]3 {}^{ 3} = 27 [/tex]

[tex] 20\leqslant27 \leqslant 50[/tex]

[tex]3.5 {}^{3} = 42.875[/tex]

[tex]20 \leqslant 42.875 \leqslant 50[/tex]

Find the volume of the following.

Answers

Answer:

The volume is 110

Answer:

110

Step-by-step explanation:

10x2x5.5=110

5/16, 3/8, 7/16, 19/32, 1/4 least to greatest
I will mark brainliest

(Set 10)

Answers

Step-by-step explanation:

my solution is

1/4, 5/16, 3/8, 7/16, 19/32

Please answer quick its due soon!!

Answers

Answer:

50000000 HAIII OK YA IS WRONG BYY GL

Step-by-step explanation:

Answer/Step-by-step explanation:

A. constant rate is y = 2x

(Since it goes up by 2 and over one)

B. unit rate is 2 dollars per pound

C. y = 2 (10)

y = 20

$20 per 10 pounds of pears

Hope this helps :)

What is a radian?



A) an angle measure with an arc length equal to one radius length

B) an angle measure with an arc length equal to one diameter length

C) an arc length that is the length of one diameter

D) a radius that is 3.14 inches long

Answers

Answer:

The answer is A

Step-by-step explanation:

An angle measure with an arc length equal to one radius length.

Given,

Radian.

Here,

Radian : An angle measure with an arc length equal to one radius length.

Radian is a measure of angle .

Degree measurements can be converted into radians.

For example,

30° = 30° × π/180°

30° = π/6

Thus radians can be converted into degrees by vice versa .

Know more about radians,

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HELP ASAP I NEED THIS ANSWERED AS SOON AS POSSIBLE

Answers

Answer:

g(1) = 1

Step-by-step explanation:

we use the last equation since it can be used when x is not -2 or -1

if we plug in 1 in the equation the answer will be 1

I need help with these 2 problems Please and thank you :)

Answers

Answer:

the answer for the first is 3/4

and the answer for the second is 2x/x+5

I need help!!!!! 4. Determine 3 possible solutions to the inequality below

Answers

Answer:

5,6,7

Step-by-step explanation:

the unfilled circle means that you dony inclued 4, and since the blue line is going u the scale means it can be any number higher than 4

For what value(S) of K will the quadratic function f(x)=3x^2+4x+k have two zeros?

Answers

i don’t know if i’m being honest dawg

A farmer has an equal number of horses in 4 different fields on his farm. Which choice could be the total
number of horses?

205
232
253
289

Answers

Answer:

B -- 232

Step-by-step explanation:

because you can divide 232 by 4 and get a whole number.

11x + 14y = 65
-11x – 8y = -41
solve for x

Answers

Answer:

[tex](x \: y)= ( \frac{379}{107} \: \frac{199}{107} )[/tex]

Step-by-step explanation:

i hope it's to help

plss help me noww if you can

Answers

Answer:

i cant see the picture at all

Step-by-step explanation:

Match the following, cylinder rectangular prism cone triangular prism square prism

Answers

Surface Area of following shapes

Cylinder = 2πrh + 2πr²

where "h" - height, "r" - radius

Rectangular Prism = 2lw + 2lh + 2wh    also      2B + Ph

"l" - length, "w" - width, "h" - height

Cone = πrl + πr²

"l" - slant height, "r" - radius

Triangular Prism = 2B + Ph

"B" - area of one base, "P" - perimeter of base, "h" - height

Square Pyramid = 2l l + l²

"l " is height, "l" is side length

pls helppppppppppppp​

Answers

So I will be giving you the formula

[tex]a^{2} +b^{2} =c^{2}[/tex]

This [tex]c^{2}[/tex] is the hypothenuse which is opposite to 90 degrees

ill start from B

so [tex]a^{2}[/tex] and [tex]b^{2}[/tex] can be any side except the side opposite to 90 degrees it shouldn't change.

Answer for B with steps:

=> [tex]11^{2} +13^{2} =c^{2}[/tex]

=>simplify [tex]290=c^{2}[/tex]

=> get square root using your calculator [tex]\sqrt{290} =\sqrt{c^{2}[/tex]

=>the answer to B is 17.0 which is just 17

Answer for C

=>[tex]7^{2} +x^{2} =12^{2}[/tex]

=>[tex]49+x^{2} = 144[/tex]

=> subtract 49 on both sides 95 so its [tex]x^{2} = 95[/tex]

=> take square root [tex]\sqrt{x} ^{2} = \sqrt{95}[/tex]

=> Its 9.7

For the rest of the hard questions you have to know whats width is and height and the properties of rectangles they are very easy

As long as you understand the concept-

follow the steps I provided.

Which polynomial represents the area of the rectangle?
44-6
x +1
O 4x2 - 2x - 6
O 4.2 - 6
O 4.c+ 2x - 6
0422 - 10.2 - 6

Answers

Answer:

4x2 - 2x - 6

Marla is making a tree skirt out of fabric. She is using a pattern based on the circle below. Marla will need to remove a sector of the circular fabric. The sector has a central angle of 60° and the radius of the circle is 3 feet.

Answers

Answer:

The area of sector is 4.71mi^2

Step-by-step explanation:

The area of the sector that Marla needs to remove is (3/2)π square feet.

How to find the surface area of some object?

Find the area that its outer surfaces possess. Sum of all those surfaces' area is the surface area of the considered object. Area is measured in terms of standard areas. Therefore, they are relative to each other.

We normally use a square of unit length as its size. That unit can be 1 cm, 1 meter, etc.

Now when we want to find surface area of some object, then the value we get tells us that you can fit this many unit sided squares on that object's surface.

We are given that;

Central angle = 60°

The radius of the circle = 3 feet.

Now,

To find the area of the sector that Marla needs to remove, we can use the formula:

A = (θ/360)πr^2

where A is the area of the sector, θ is the central angle of the sector, r is the radius of the circle, and π is pi (approximately 3.14).

Plugging in the values we know, we get:

A = (60/360)π(3)^2 A

= (1/6)π(9) A

= (3/2)π

Therefore, the area of the fabric will be (3/2)π square feet.

Learn more about surface area here:

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please help its geometry. Solve for x

Answers

Answer

the answer is x = 9 root 3

A right prism is shown below.


What is the surface area of the right prism?


Question options:


290 in2



420 in2



520 in2



2940 in2

Answers

Answer:

290 8s the answer because 15 mutiplyed by 8 plus 17 multiplyed by 10 give you 290

Answer:

[tex]\fbox{Surface \: area \: of \: prism = 520 \: sq.in.} [/tex]

Step by step explanation:

Given:

height of prism h = 10 in

length of base of triangle b = 8 in

height of triangle h' = 15in

side A of triangle = 17 in

To find:

Surface area of prism = ?

Solution:

[tex]\begin{gathered}Area \: of \: base \: triangle = \: \frac{1}{2}\cdot{b}{h'} \\ Area \: of \: base \: triangle = \frac{1} {\not2}\cdot{15} \times \not{8} \\ Area \: of \: base \: triangle = 60 \: {in}^{2} \end{gathered}[/tex]\\[tex]\fbox{Area \: of \: base \: triangle \: (B) = 60 \: sq.in. }\\\begin{gathered}Perimeter \: of \: base \: triangle = Side A + Height \: h' + base \: b \\ Perimeter \: of \: base \: triangle = 15 + 17 + 8 \: in\\ Perimeter \: of \: base \: triangle = 40 \: in\end{gathered}

[/tex]

[tex]\fbox{Perimeter \: of \: base \: triangle (p) \: = 40 \: in} [/tex]

[tex]\begin{gathered}Surface \: area \: of \: prism = 2B+ \: ph \\ Surface \: area \: of \: prism = 2 \times 60+ \: 40 \times 10 \\ Surface \: area \: of \: prism = 120 + 400\\ Surface \: area \: of \: prism = 520 \: {in}^{2} \end{gathered} [/tex]

[tex]\fbox{Surface \: area \: of \: prism = 520 \: sq.in.} [/tex]

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Jan'ai was asked to determine the minimum for a function with zeros located at –1 and 5, which also has a y-intercept of (0, –25). her work is shown. which best describes the first error in jan'ai's work? she incorrectly determined the factors for the beginning function. she incorrectly determined the a value. she incorrectly transformed the equation to standard form. she incorrectly determined the x-coordinate of the vertex.

Answers

The first error in Jan'ai's work in determining the considered function is given by: Option D: She incorrectly determined the x-coordinate of the vertex.

What are the coordinates of vertex for a quadratic function?

For a quadratic function of the form [tex]y = ax^2 + bx + c[/tex], its vertex form is obtained as:

[tex]y = ax^2 + bx + c\\y =a(x^2 + bx/a) + c\\y = a(x^2 + 2(b/2a)x + (b/2a)^2 -(b/2a)^2 )+ c\\y = a(x^2 + 2(b/2a)x + (b/2a)^2) -a \times (b/2a)^2 + c\\\\y = a(x+b/2a)^2 - a \times (b/2a)^2 + c[/tex]

For the form [tex]y = a(x-h)^2 + k[/tex], the vertex has coordinates (h, k)

Thus, for the obtained equation [tex]y = a(x+b/2a)^2 - a \times (b/2a)^2 + c[/tex], we get the coordinates of vertex as:

[tex]h = -b/2a[/tex], [tex]k = c - a\times(b/2a)^2[/tex]

Thus, the coordinates of vertex of  [tex]y = ax^2 + bx + c[/tex] is:

[tex](h,k) = (-b/2a, c - a \times (b/2a)^2 )[/tex]

The missing steps of work of Jan'ai are:

Begin to write a function in factored form. [tex]f(x) = a(x+1)(x-5)[/tex]Substitute x = 0, y = f(x) =  -25 to determine a. [tex]-25 = a(0+1)(0-5)[/tex]Simplify and solve to find a. [tex]a=5[/tex]Rewrite the function. [tex]f(x) = 5(x+1)(x-5)[/tex]Rewrite in standard form. [tex]f(x) = 5x^2-20x-25[/tex]Find the x-coordinate of the vertex. [tex]x = -20/2(5) = -20/10; x = -2[/tex]Find the y-coordinate of the vertex.

[tex]y = 5x^2-20x-25[/tex]

[tex]y = 5(-2)^2-20(-2)-25[/tex]

[tex]y = 35[/tex]

so (-2,35) is the coordinate of the vertex, which denotes the minimum.

So, as we see, in the 5th step, Jan'ai had the quadratic function [tex]f(x) = 5x^2-20x-25[/tex],

Comparing this to [tex]f(x) = ax^2 + bx + c[/tex], we get a = 5, b = -20, c = -25

The vertex's x-coordinate will be on -b/2a = -(-20)/ 2(5) = 20/10 = 2

But Jan'ai didn't putted that negative sign before b. in the 6th step.

Thus, the first error in Jan'ai's work in determining the considered function is given by: Option D: She incorrectly determined the x-coordinate of the vertex.

Learn more about the vertex form of a quadratic equation here:

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Answer:

The answer is D on edge

Step-by-step explanation:

PLEASE HELPP ITS DUE IN A HOUR


Charlotte is redecorating the master bedroom in her house. She has purchased a new bedroom set and also plans to paint the room and put in new flooring. The room is rectangular, with dimensions of 16 feet by 13.5 feet. The walls in the room are 9 feet tall, and the room contains two doors and two windows.

The new bedroom set she purchased includes a queen-sized bed, one nightstand, and a dresser. The following dimensions represent the rectangular length and width dimensions of the furniture.

Bed: 60 inches by 80 inches
Nightstand: 18 inches by 18 inches
Dresser: 64 inches by 18 inches

Charlotte plans to place the bed in the center of one of the long walls of the room. And, she plans to place the dresser in the center of the opposite long wall. The nightstand will be placed on one side of the bed.

Using the scale 1/4, inch = 1 foot, make a model scale drawing of the bedroom. Label the exact scaled dimensions of the room and sketch in the approximate placement of the furniture. Note: You do not need to calculate the exact scaled measurements of the furniture​

Answers

Answer:

what happening to you

please answer your very

PLEASEE HELPPPPPPP ASAPPPPPPPPP

Answers

Answer:

yes its 50

Step-by-step explanation:

if you need an explanation let me know!

What is 7 less than y
In math

Answers

Answer:

The algebraic expression is "y - 7".

Step-by-step explanation:

"7 less" means "- 7", so you're subtracting 7 from y. You then write it as "y - 7".

Answer:

y-7

Solution:7 less means we subtract 7.Therefore, the expression "7 less than y" looks like so:y-7So we take a number y and subtract 7 from it.

Hope it helps.

Do comment if you have any query.

Which type of function best models the data in the table?
A. linear
B. exponential
C. quadratic
D. inverse variation

Answers

Answer: Your answer is indeed D. Inverse variation.

Hope this helped!

Answer:

first question:

inverse variation

second question:

for evenly spaced x-values, the ✔ difference of consecutive y-values is not constant.

Step-by-step explanation:

hope this helps!! have an amazing day <3

PLEASE HELP find value of X
x^2 = 9, x = ?

Answers

Answer:

3

Step-by-step explanation:

x^2 means squared

to get x you need to get the square root of 9

which is

3

Pls Help Solve for x

X =​

Answers

Answer:

the answer is 12

Step-by-step explanation:

it is what it is

A triangle has sides of length 6 8 and 10. Do the sides form A Pythagorean triple? Explain

Answers

6*6=36 + 8*8=64
36+64 and 10*10 =100
B is correct
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