Find the equation of a line that passes through the point (1,4) and has a gradient of -4.
Leave your answer in the form
y
=
m
x
+
c

The question is an illustration of a linear function, and the equation that represents the function is [tex]y =-2x +10[/tex]

A linear function is represents as: y = mx + c, where:

In this case, we have:

So, the equation becomes

[tex]y =-2x +10[/tex]

Hence, the equation of the function is [tex]y =-2x +10[/tex]

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Answer:

The answer is C

Step-by-step explanation:

25 + 57 + 34 = 116, so at least 116, not 116.

The angle is close to 90+45 = 135

assuming with this, the asnwer is C

Answer:

B. 173

Step-by-step explanation:

just add them all up! for DFE, BFC has the same sign, which i assume means it is the same thing

Answer:

Zero-product property.

Step-by-step explanation:

[tex]\text{If}~ ab =0\\\\\text{then}~ a=0~ \text{or}~ b=0[/tex]

Answer:

a) 72cm²

b) 9 cm²

c) 9 cm²

d) 54 cm²

Step-by-step explanation:

a) The area A of a rectangle is given by the formula, A=lw

12 * 6 = 72cm²

b) To calculate the area of a triangle, multiply the height by the width (this is also known as the 'base') then divide by 2.

(6 * 3) : 2 = 9 cm²

c) To calculate the area of a triangle, multiply the height by the width (this is also known as the 'base') then divide by 2.

(6 * 3) : 2 = 9 cm²

d) To find the area of the parallelogram, multiply the base of the perpendicular by its height.

(12 - 3) * 6 = 54 cm²

Answer: 2 pairs of parallel sides!

Step-by-step explanation:

Answer:

It is the first answer choice.

Step-by-step explanation.

Use synthetic division and there is no remainder, so -1 is a factor

4:3

8:6

12:9

16:12

20:15

24:18

28:21

Answer:

it means you replace y with 18 so

33(18)

so 33*18=594

Hope This Helps!!!

Answer:

594

Step-by-step explanation:

33y

33(18)

33 x 18 = 594

Answer:

Below in bold.

Step-by-step explanation:

g(12) = √12 + 4

so f(g(12))

= 3(√12 + 4) + 5(√12 + 4)

=  8(√12 + 4)

= 59.71 to nearest hundredth.

Answer:

C. 2:5

Step-by-step explanation:

You can divide both side of the ratio 20:50 by 5 which leaves you with 4:10. You can simplify it again by dividing it by 2 and get 2:5

Answer:

C. w = 4t

Step-by-step explanation:

Let's examine the way t and w are related to each other, one point at a time starting with (0, 0). This point really doesn't tell us much, but we do know that this relationship must be proportional since any line that goes through the origin (the point (0, 0)) is proportional. we can rule out B. 2 + t and D. 4 + t since neither of these go through the origin. 2 + t goes through the point (0, 2) and 4 + t goes through the point (0, 4).

Now, we have two options left: A. w = 2t and C. w = 4t. Which one is correct? Well, let's look at the point (1, 4). 1 × 2 is not equal to 4, but 1 × 4 is equal to 4, so C. w = 4t must be the correct option.

We can test this on the rest of the points as well: 2 × 4 = 8 and 3 × 4 = 12. Hopefully that's helpful! If you have questions or need clarification on anything, let me know. :)

Answer:

y=-1/2x - 3

I think this is it, its been a while though.

Answer:B

Step-by-step explanation:

This is because -3 is going to multiple numbers, which cannot happen in a function.

Answer:

2/3

Step-by-step explanation:

I hope it's the answer. if it isn't tell me so that I can try it again bye.

Answer:

for every 1000 people, the maximum noise level goes up by 1.5

The price of the bed after the markup is $527.80.

The given parameters:

The price of the bed after the discount of 30% is calculated as follows;

P = $580 - 0.3($580)

P = $406

The price of the bed after the markup is calculated as follows;

P = $406 + 0.3(406)

P = $527.8

Thus, the price of the bed after the markup is $527.80.

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Answer:

-14

Step-by-step explanation:

Answer:

[tex]x=\frac{-1\pm\sqrt{3}i}{2}[/tex]

Step-by-step explanation:

[tex]f(x)=x^3-1[/tex]

[tex]0=x^3-1[/tex]

[tex]0=(x^2+2x+1)(x-1)[/tex]

[tex]x-1=0[/tex]

[tex]x=1[/tex] <-- Real Solution

[tex]x^2+x+1=0[/tex]

[tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

[tex]x=\frac{-2\pm\sqrt{2^2-4(1)(1)}}{2(1)}[/tex]

[tex]x=\frac{-1\pm\sqrt{1^2-4(1)(1)}}{2(1)}[/tex]

[tex]x=\frac{-1\pm\sqrt{1-4}}{2}[/tex]

[tex]x=\frac{-1\pm\sqrt{-3}}{2}[/tex]

[tex]x=\frac{-1\pm\sqrt{3}i}{2}[/tex] <-- Complex Solutions

Answer:

The first one is true, also the second one. Third one as well and the forth also. They all are solutions of the equations. Weird but true.

Answer:

1) x= -6 isn't the correct solution.

2) x=15 is the correct solution.

3) x= -1 isn't the correct solution.

4) x= -4/5 is the correct solution.

Step-by-step explanation:

1) 2x=9+3

2x=12

x=6

2) x=17-2

x=15

3) (multiply both members per 12)

3x-4x=-1

-x=-1

x=1

4) -3x-15=2x-11

-3x-2x=15-11

-5x=4

x= -4/5

The equivalent fraction to the given complex fraction is  [tex]\frac{2y-1}{3y+1}[/tex].

Given expression,

[tex]\dfrac{2-\frac{1}{y} }{3+\frac{1}{y} } } \\[/tex]

We have to find the equivalent fraction of    [tex]\frac{2-\frac{1}{y} }{3+\frac{1}{y} } } \\[/tex] .

On solving,

[tex]\dfrac{2-\frac{1}{y} }{3+\frac{1}{y} } } =\dfrac{\frac{2y-1}{y} }{\frac{3y+1}{y} }[/tex]

Eliminating y from numerator and denominator we get,

[tex]\dfrac{2-\frac{1}{y} }{3+\frac{1}{y} } } =\dfrac{2y-1} {3y+1} }[/tex]

Hence the required expression is    [tex]\frac{2y-1}{3y+1}[/tex].

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Answer:

The answer is D :)

Step-by-step explanation:

2y-1/3y+1

Answer:

cylinder

Step-by-step explanation:

a cylinder would be formed, as the rotation forms a circular base and a rectangular body which can be seen in a cylindrical net.

Answer: A Hollow Cylinder

[tex]\huge \bf༆ Answer ༄[/tex]

Here's the solution ~

Surface are of cuboid is : -

Answer:

0.000000001

Step-by-step explanation:

Let's convert this :

0.000000001

  tHT      M    B

t=tenths

H=Hundredths

T=Thousandths

M=millionths

B=Billionths

Answer:

6.5 x 10^(-7)

Step-by-step explanation:

When multiplied by 10, it is like multiplying by 10^1. We can use the exponent rule: 10^(-8) * 10^1 = 10^(-7).

Example:

1.3 x 10^2 multiplied by 10

This is the same as 130 multiplied by 10 which is equal to 1300.

1300 written in scientific notation is 1.3 x 10^3, which adds one more onto the exponent.

Therefore, the value of x is 7.2.

Hoped this helped.

[tex]BrainiacUser1357[/tex]

Here we must write and solve a linear equation to find the number of miles that Eva traveled in the taxi. We will find that Eva traveled 11 miles.

So we know that the taxi charges a fee of $4.10 and then a plus of $0.50 per mile.

So if you travel for m miles, the cost equation is:

C(m) = $4.10 + $0.50*m

Now, we know that for Eva the total fare (total cost) was $9.60, then we need to solve:

$9.60 = C(m) = $4.10 + $0.50*m

$9.60 = $4.10 + $0.50*m

$9.60 - $4.10 = $0.50*m

$5.50 = $0.50*m

$5.50/$0.50 = m = 11

This means that Eva traveled 11 miles in the taxi.

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Answer:

11

Step-by-step explanation:

Answer:

a) 2

b) -2

c) -2

d) 1/2

Step-by-step explanation:

1) f(-4) means that x=-4 and you must locate the y value on the graph

2) f(2) means that x=2 and you must locate the y value on the graph

3) f(x)=4 means that y=4 and you must locate the x value on the graph

4) f(x)=-1 means that y=-1 and you must locate the x value on the graph