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Answer:

y=3x-1

Step-by-step explanation:

The y-intercept is at -1 if you go down 3 left 1, and then down 3 left 1 again and you are left at (0,-1)

Answer:

x=-29/24

y=3/8

Step-by-step explanation:

3x-9y= -7 ---A

2y-6x= 8----B

multiply eq A by 2

6x-18y=-14

-6x+2y=8

Add both equations, so you eliminate x since 6x+(-6x) = 0

-18y+2y= -16y

-14+8=-6

so you have

-16y=-6

y=3/8

now substitute this back to eq B, (you can use eq A as well if you like)

2(3/8)-6x=8

3/4-6x=8

-6x=29/4

x=-29/24

Answer:

60 miles

Step-by-step explanation:

1 hour = 25 miles. To find how much the shark can swim during 2.4 hours, we just have to multiply 25 by 2.4, which is 60, and that's your answer.

Tell me if I'm wrong :)

Answer:

Yes

Step-by-step explanation:

If Don drives at 60 miles per hour and drives for 3.5 hours, then he can drive:

60 * 3.5 = 210 miles

Because 210 miles is more than 200 miles, the answer is yes, he can make it to the beach in that time.

Answer:

thanks

Step-by-step explanation:

if u look at it and and which ones have more then u will get ur answer

Option C is correct, f(x)=3(x-4)(x+3) is a quadratic function.

A quadratic equation is a second-order polynomial equation in a single variable x , ax²+bx+c=0. with a ≠ 0 .

In the given functions which are in the form of ax²+bx+c=0 such functions are considered as quadratic function.

The highest power of the variable x should be two.

f(x)=5² is not a quadratic function.

f(x) = 2/x is not a quadratic function.

f(x)=3(x-4)(x+3)

Let us simplify the function

f(x)=3(x²+3x-4x-12)

=3(x²-x-12)

f(x)=3x²-3x-36

So f(x)=3(x²+3x-4x-12) is a quadratic function.

Hence, Option C is correct, f(x)=3(x-4)(x+3) is a quadratic function.

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Answer:

Nope. Moltiplication (and thus divisions) has to be done before any addition or subtractions, unless parenthesis indicate otherwise.

[tex]3(5)^2 - 18\div 3 = 3(25) - 6 = 75-6=69[/tex]

The slope of the line of the graph is given by the ratio of the change in y-

coordinates to the change in the x-coordinates of the line.

The statement that is true about the slope of the line is; it is  [tex]\dfrac{1}{2}[/tex] throughout

the line.

Reasons:

The given parameter are;

The ordered pair through which the line passes = (-6, -3), and (0, 0) and (6, 3)

Points on the hypotenuse of the shaded right triangle = O(0, 0), and A(4, 2)

Points on the leg of the right triangle = (0, 0) to (4, 0)

Points on the second leg of the right triangle = (4, 0) to (4, 2)

Second right triangle;

Points on the hypotenuse = A(4, 2) to B(6, 3)

One leg of the right triangle extends from (4, 2) to (6, 2)

Second leg extends from  (6, 2) to (6, 3)

[tex]Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

[tex]\mathrm{Slope, \, of \ first \ triangle, \, m} =\dfrac{2-0}{4-0} = \dfrac{1}{2}[/tex]

[tex]x^{2} \mathrm{Slope, \, of \ second \ triangle, \, m} =\dfrac{3-2}{6-4} = \mathbf{\dfrac{1}{2}}[/tex]

Therefore;

The slope is [tex]\dfrac{1}{2}[/tex] throughout the line

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Answer:

4 2/15

Step-by-step explanation:

Convert both fractions to have the same denominator. Find the LCM of 3 and 5 and multiply by what you need to get there. 1x5=5, 3x5=15, so 1/3 becomes 5/15, and 1x3=3, 5x3=15, so 1/5 becomes 3/15. Finally, do normal subtraction, to get 4 2/15.

Answer:

Step-by-step explanation:

total # of families=15

families that own 0 cars=2

families that own 1 cars=5

families that own 2cars=4

families that own 3 cars=3

families that own 4 cars=1

so 2+5+4+3+1=15

total# of families/ sum of cars = 15/15=1

Answer:

5 bags

Step-by-step explanation:

if eight people each want four jellybeans you can multiply eight by four and get 32 jelly beans

this is the amount they need: 32

so we divide 32 by 7 to find out how many bags we need

32/7 is 4.57... so we need 5 bags because you cannot order half a bag

Answer:

The first one

Step-by-step explanation:

if you count, there are five full rows, and two extra, so 52/100. then you count the sections that the colored area is: 4. then count how many squares are in each colored section: 13.

Answer:D

Step-by-step explanation:

The equation is y=mx+b. Here the slope is 1/5 and b is 5

Answer:

D

Step-by-step explanation:

Y intercept is +5

Slope is going up one and over five, so 1/5.

y=1/5x+5

The number of days it would take 15 people to complete the task is 9.1 days.

The formula used to represent inverse proportion is:

y = [tex]\frac{k}{x}[/tex]

The information given in the question can be represented with:

2 = k/10

k = 20

The number of weeks it would take 15 people to complete the same task:

20 / 15 = 1.3 weeks = 9.1 days

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Answer:

a.)A and B are the intersection between the two curves. The x coordinate is the equation

[tex]f(x) = g(x)[/tex]

Let's solve it

[tex]\frac12 (x-2)^3 +1 = 2x^2-6x-3\\x^3-6x^2+12x-8+2=4x^2-12x-6\\x^3-10x^2+24x=0\\x(x^2-10x+24)=0\\x(x-4)(x-6)=0[/tex]

We can see that if we substitute x= 0 or x= 4 the equation is verified.

b. The equation has a third solution, x = 6, that is too far to the right to be visible in the graph.

c. the x coordinate of C is the solution of [tex]f(x)=0[/tex] or [tex]\frac 12 (x-2)^3 +1=0\\(x-2)^3 = -2\\(x-2) = -\sqrt[3]2[/tex]

At this point let's guesstimate the cubic root of 2 -let's say the cubic root of 2 is equal to 1plus an error e, and since we know how to calculate the cube of a binomial, let's build it.

[tex](1+e)^3 = 2 \rightarrow 1+3e+3e^2+e^3 = 2[/tex] Now, assuming the error is small enough, it's square and its cube gets even smaller. (if the error is 0.1, it's square becomes 0.01 and the cube 0.01), let's ignore them. [tex]1+3e=2 \rightarrow 3e=1 e= \frac13[/tex] So, going back to our equation, we can tell that the right hand side is [[tex]\mathbb{R}[/tex]]-(1+\frac13)[/tex] Not perfect, but good enough. Let's solve it now.

[tex]x-2= -1-\frac13 \rightarrow x=1-\frac13 = \frac23[/tex]

Which seems close enough from the photo.

c. Domain of both function are the whole Real set, since they're polynomials. Range of f(x) is again the whole real set, since it's an odd degree polynomial. g(x) is a parabula and its range is for y above the vertex y-coord, which is [tex]y>g(\frac32) = 2(\frac94)-6(\frac32)-3 = \frac92 -3(\frac62) -\frac62 = \frac92-4\frac62= -\frac{24-9}2 = -\frac{15}2[/tex]

Answer:

1) 8

2) 450 ft^2

Step-by-step explanation:

Each triangle takes half a square worth of space, so if you add up 2 triangles for 1 square that is 1/4 of the area, multiply that by 4 and you get 8 cameras.

The left over space in the store is the same amount of space as all the cameras space added together since each camera takes up half a square. That way 4 cameras(each 112.5 ft^2 each) equals 1/2 of the room which added together is 450 ft^2, the other half would be the left over space, 450 ft^2.

1) The cameras will be necessary to cover the entire store are 8

2) The area  left uncovered is 450 ft^2

Each triangle takes half a square worth of space, so if you add up 2 triangles for 1 square that is 1/4 of the area, multiply that by 4 and you get 8 cameras.

The area of the triangle is

[tex]=\frac{1}{2}\times height \times base[/tex]

The leftover space in the store is the same amount of space as all the camera's space added together since each camera takes up half a square.

That way 4 cameras(each 112.5 ft^2 each) equals 1/2 of the room which added together is 450 ft^2, the other half would be the leftover space, 450 ft^2.

1) The cameras will be necessary to cover the entire store are 8

2) The area  left uncovered is 450 ft^2

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Answer:

54.28 cm²

Step-by-step explanation:

Area rectangle = 10 x 4 = 40 cm²

Area semicircle = 1/2(π(2²)) = 1/2(π(4)) = 2π ≈ 6.28 cm²

Area triangle = 1/2(4 x (10-14)) = 1/2( 4 x 4) = 2 x 4 = 8 cm²

Total Area = 40 cm² + 6.28 cm² + 8 cm² = 54.28 cm²

-Chetan K

The modulus of the complex number is 5.

The value of z is a complex number with a real and imaginary value. Let's assume the complex number z is given as:

[tex]z = 3 + 4i[/tex]

The modulus of the complex number is given as:

[tex]|z|=\sqrt{x^2+y^2}[/tex]

From the given complex number:

Substitute into the formula:

[tex]|z|=\sqrt{3^2+4^2}\\|z|=\sqrt{9+16} \\|z|=\sqrt{25}\\|z|=5[/tex]

Hence the modulus of the complex number is 5.

Note that the complex number was assumed.

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Answer:

[tex]\sqrt{10\\[/tex]

Step-by-step explanation:

Answer:

1/5

Step-by-step explanation:

rise = 2 ft

run = 10 ft

slope = rise/run = 2/10 = 1/5

Answer: 1/5

Answer:

1/5

Step-by-step explanation:

The slope is the rise over the run

Y / x

2/10

1/5

Answer:

I don't know it's very hart

Answer:

Its A=2.38

Step-by-step explanation:

6cup=558 gram

1cup=558/6

1cup=93 gram

13gram*17kg=221gram

221/93=2.38

Answer:

[tex]x[/tex] = 14

Step-by-step explanation:

(4x-1)+(2x+7)+90=180

Answer:

7.5 g salt

10g yeast

50 ML oil

450 ML water

Step-by-step explanation:

You would do 1/4 of the amount of (insert ingredient amout) added to the total (insert ingredient amount)

Answer:

$17.55

Step-by-step explanation:

Answer:

17.55

Step-by-step explanation:

You will pay $17.55 for a item with original price of $27 when discounted 35%. In this example, if you buy an item at $27 with 35% discount, you will pay 27 - 9.45 = 17.55 dollars

Answer: Cooperative advertising

Step-by-step explanation:

Answer:

8 and 2

Step-by-step explanation:

If you add them together you get 10. (8 + 2 = 10)

If you multiply them you get 16. (8 x 2 = 16)

Have a great day! (I'd love brainiest if you could give it to me!)

Answer:

x = 16

Step-by-step explanation:

(8x - 14) = (5x + 34) since they are alternate exterior angles.

Solve for x:

8x - 5x - 14 = 34

3x - 14 = 34

3x = 34 + 14

3x = 48

x = 48/3  = 16

Answer:

Jayden has 13 pairs of gloves.

Step-by-step explanation:

2 packages multiplied by 5 pairs = 10

10 pairs plus 3 pairs he already had

= 13 pairs of gloves total  

SI

$1 000 × 4 % × 10 = $400

CI

($1 000 × 1.04 ^10) - $1 000 = $1 480.24 - $1 000 = $480.24

Interest on interest only applies to Compound Interest.

Excluding year 1, which yields $40 [the same as SI] the interest on interest yields $480.24 - $40 = $440.24

- BRAINLIEST answerer

The solution is $ 1050

The interest on a deposit of $ 1000 at 5% for an year will be $50 and the amount after one year is $ 1050.00

What is Simple Interest?

Simple interest is a method of calculating interest that ignores the impact of compounding. While interest frequently compounds throughout the course of a loan's set periods, simple interest does not. Simple interest is calculated by multiplying the principal amount by the interest rate, times the number of periods.

Simple Interest = ( Principal Amount x Rate x Time Period ) / 100

Given data ,

Let the simple interest be represented as S

Now , the initial amount or principal be P = $ 1000

The rate of interest R = 5 %

The time period T = 1 year

So , the simple interest is given by the equation

Simple Interest = ( Principal Amount x Rate x Time Period ) / 100

Substituting the values in the equation , we get

Simple Interest S = ( 1000 x 5 x 1 ) / 100

On simplifying the equation , we get

Simple Interest S = 5000/100

Simple Interest S = $ 50

And , the amount after one year = Principal + Simple Interest

The amount after one year A = $ 1000 + $ 50

The amount after one year A = $ 1050.00

Hence , the amount is $ 1050.00

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