45x+90y=810
y=x+4
Find the solution

the answer is 4 square root of 2

The factored form of the considered polynomial is [tex](x+3)(x+8)[/tex]

If the given quadratic expression is of the form

[tex]ax^2 + bx + c[/tex]

then its factored form is obtained by two numbers alpha( α ) and beta( β) such that:

[tex]b = \alpha + \beta \\ ac =\alpha \times \beta[/tex]

Then writing b in terms of alpha and beta would help us getting common factors out.

For the considered polynomial, we've got the quadratic expression as:

[tex]x^2 + 11x + 24[/tex]

Comparing this with [tex]ax^2 + bx + c[/tex], we get:

Therefore, we have : ac = c = 24

Two numbers whose multiplication gives 24 and and whose addition gives 11.

24 = [tex]2 \times 2 \times 2 \times 3[/tex]

If we take first three 2s, and 3, then:

[tex]24 = 8 \times 3 = (2 \times 2 \times 2) \times 3\\11 = 8 + 3 = (2 \times 2 \times 2) + 3[/tex]

Thus, we need to write 11 in the middle in terms of 8 and 3:

[tex]x^2 + 11x + 24 = x^2 + 8x + 3x + 24 = x(x+8) + 3(x+8) = (x+3)(x+8)[/tex]

Thus, the factored form of the considered polynomial is [tex](x+3)(x+8)[/tex]

Learn more about factors of a quadratic equations here:

https://brainly.com/question/26675692

Answer:

(1) C. 24

(2) B. 11

(3) C. (x+3)(x+8)

Answer: 1

Step-by-step explanation:

Step-by-step explanation:

3 x^3-15x^2+18x 3(x^3-5x^2+6x)

Answer: r [tex]\leq[/tex] 5

Step-by-step explanation: If you need it quick then no explanation, but brainliest please?

Answer:

28.26

Step-by-step explanation:

The circumference of a circle is equal to 2πr, where r is the radius. The radius is the distance from the center of the circle to a point on the outside of the circle.

To find the circumference you can plug in the known information and multiply. However, instead of using actual pi, we will use 3.14 because that is what the question says.

This means that the distance around the rug is 28.26 feet.

Answer: Triangle 4

The specific translation or shifting is "move 9 units to the right and 4 units down".

We can prove this by looking at something like point A(-10,2) and note how it moves to (-4,-2). Going from (-10,2) to (-4,-2) is exactly 9 right and 4 down.

In terms of x,y notation the translation rule is [tex](x,y) \to (x+9,y-4)[/tex]

Answer:16

Step-by-step explanation:

For 1/8 of the lawn it takes 2 hours

So, for the entire lawn it will take 2/(1/8) = 16

So, your final answer is 16 hoursHope this helps!

This is a trick question. They eat 1/3 of the gallons given. Multiply

1/3 * 1/3 = 1/9 gallons or 0.111 gallons

Answer: Aye aye, cap'in

Step-by-step explanation:

So we start off with our base value, 1/3 gallons.

We are trying to find how many gallons we have eaten, so we do 1/3*1/3, since we need to find what is 1/3rd of that gallon.

For reference, if you wanted to find how much is left over, we multiply by 2/3 since 1-1/3 = 2/3, so there are 2/3 of the 1/3rd gallons left. Not important for solving this problem, but it might help you understand why we decided to multiply by 1/3.

1/3 * 1/3 = 1/9

Our answer is 1/9.

Answer:

1) 0.25
2)4

Step-by-step explanation:

1) 12 divided by 48 is 0.25

2) 48 divided by 12 is 4

hope this helps

From the given data

93% of the bar is silver :

[tex]\small\bold{ → 93\% \: \: of \: \: 7kg}[/tex]

[tex]\small \bold{→\frac{93}{100} \times 7 }[/tex]

[tex]\small \bold{→ \frac{651}{100} }[/tex]

[tex]\small \bold{→ 6.51 \: kg }[/tex]

Therefore, 6.51 Kg of Silver is there in the bar.

» A metal bar weighs 7 Kg. 93% of the bar is Silver. How many Kgs of silver is there in the bar?

— — — — — — —

Therefore, 6.51 kg of Silver is there in the bar.

_______________❦︎_______________

Answer: (17,3) is viable

Step-by-step explanation:

makes the most sense

Answer:

the ordered pair (12,3) is viable

Explanation:

These were my answer choices:

a. The ordered pair (–3, 7) is viable.

b. The ordered pair (0, 4) is viable.

c. The ordered pair (7, 0) is non-viable.

d. The ordered pair (12, 3) is viable.

I just took the test and d was correct:)

The range of acceptable values for production to continue working of the company without stoppage is 15.85 to 16.15.

Range is the area of fluctuation between the upper and lower limit. The range of the acceptable values is all the values between the upper and lower limit.

Here, a company manufactures 16-oz boxes of cereal.  Now, this boxes are randomly weighted to ensure the correct amount.

As the discrepancy in weight is more than 0.15 oz then the production of the company is stopped.

To proper functioning of the company without stoppage, the limit of the production should be with in 0.15 oz.

The company produce, 16-oz boxes of cereal and the disperancy is 0.15 oz. Thus the value of the lower limit will be,

[tex]L=16-0.15\\L=15.85\rm \; oz[/tex]

The value of the upper limit will be,

[tex]U=16+0.15\\U=16.15\rm \; oz[/tex]

Thus, the range will be {15.85-16.15 oz}

Hence, the range of acceptable values for production to continue working of the company without stoppage is 15.85 to 16.15.

Learn more about the range here;

https://brainly.com/question/443408

Answer:

y = [tex]\frac{1}{2}[/tex] x

Step-by-step explanation:

the inscribed angle y is half the measure of the central angle x

y = [tex]\frac{1}{2}[/tex] x

A dozen = 12

Multiply the prices they were sold for by 12:

12 x 60 = 720

By selling the 12 eggs they made 720

Since they bought it for 2000 they lost money.

2000 - 720 = 1280 loss

2184km²

Answer:

factorize(42) = 2 x 3 x 7

Step-by-step explanation:

The amount of mass after 5 minutes is 75.74 grams.

It is given that

The amount initially = 330grams

After every minute mass decays by 25.5%

The percentage is the value per hundred.

Amount after 1 min = 330-330*25.5/100 = 245.85grams

Amount after 2 min = 245.85-245.85*25.5/100 = 183.16grams

Amount after 3min = 183.16-183.16*25.5/100 = 136.45grams

Amount after 4 min = 136.45-136.45*25.5/100= 101.66grams

Amount after 5 min =101.66-101.66*25.5/100 = 75.74grams

Therefore, the amount of mass after 5 minutes is 75.74 grams.

To get more about percentage visit:

https://brainly.com/question/24304697

Answer:

Distance between Gas Station and House = 7.81 miles.

Step-by-step explanation:

The distance between the two locations is 7.81 miles

Given the point at (4,3) represents the location of her house, and the point at (10, 8) represents the location of the gas station.

The distance between the two locations will be determined using the formula

D [tex]=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Substitute the given coordinate into the formula

[tex]D=\sqrt{(-6)^2+(-5)^2}\\D=\sqrt{(4-10)^2+(3-8)^2}\\D=\sqrt{36+25}\\ D=\sqrt{61}\\ D=7.81miles[/tex]

Hence the distance between the two locations is 7.81 miles

learn more on distance formula here: https://brainly.com/question/661229

Answer: 1. 0.0771    and    2. 8073000

Step-by-step explanation:

Answer:

33.22 square inches

Step-by-step explanation:

Diameter to Radius: [tex]\frac{1}{2}d = r[/tex]

Area of Circle: [tex]\pi r^2[/tex]

We are given the diameter of a pancake as 4.6 inches, so the radius is 2.3 inches. Next, we have to apply the area of circle formula with pi as 3.14 and the radius as 2.3

Next, since there's two pancakes, we double 16.6106.

Lastly, we round to the nearest hundredth.

Therefore, the answer is 33.22 square inches.

Answer:

y = 2, 5, 8, 11, 14

Step-by-step explanation:

For this question, it's simply asking us to solve for y, at given values of x. So everytime we just need to substitute the given value for x and solve for y.

x + y = 8

When x = 6,

6 + y = 8

substract 6 from both sides:

-6 + 6 + y = 8 - 6

y = 2

When x = 3

3 + y = 8

y = 8 - 3

y = 5

When x = 0

0 + y = 8    --> 0 + y = y

y = 8

When x = - 3

- 3 + y = 8

y = 8 + 3

y = 11

When x = - 6

-6 + y = 8

y = 8 + 6

y = 14

I hope this makes sense :)

Answer:

21%

Step-by-step explanation:

388-320=68 then divide 68 by 320 which is 0.21 then divide that by 100 or you could move the decimal 2 times to the right which makes it 21%

hope this helped!

also please tell me if I'm wrong

Answer:

h³-21h-100

Step-by-step explanation:

You only have to subtract 25h from 4h.

We are given with a function y and need to find dy/dx or the first Derivative of y w.r.t.x , but let's recall

Now consider :

[tex]{:\implies \quad \sf y=e^{x}-\dfrac{1}{x}+log_{e}x}[/tex]

Differentiating both sides w.r.t.x

[tex]{:\implies \quad \sf \dfrac{d}{dx}(y)=\dfrac{d}{dx}\bigg\{e^{x}-\dfrac{1}{x}+log_{e}x\bigg\}}[/tex]

[tex]{:\implies \quad \sf \dfrac{dy}{dx}=\dfrac{d}{dx}(e^x)-\dfrac{d}{dx}\left(\dfrac{1}{x}\right)+\dfrac{d}{dx}(log_{e}x)}[/tex]

[tex]{:\implies \quad \sf \dfrac{dy}{dx}=e^{x}-\dfrac{d}{dx}(x^{-1})+\dfrac{1}{x}}[/tex]

[tex]{:\implies \quad \sf \dfrac{dy}{dx}=e^{x}-(-1)(x)^{-1-1}+\dfrac{1}{x}}[/tex]

[tex]{:\implies \quad \sf \dfrac{dy}{dx}=e^{x}+(x)^{-2}+\dfrac{1}{x}}[/tex]

[tex]{:\implies \quad \sf \dfrac{dy}{dx}=e^{x}+\dfrac{1}{x^{2}}+\dfrac{1}{x}}[/tex]

Simplifying will yield

[tex]{:\implies \quad \bf \therefore \quad \underline{\underline{\dfrac{dy}{dx}=\dfrac{e^{x}x^{2}+x^{2}+x}{x^{2}}}}}[/tex]

This is the required answer

Answer:

For the 2 first exponents you multiply for the last 2 you add the powers

Step-by-step explanation:

-2x4=-8=4^-8

2x-1=-2 4^-2

2+6= 4^8

5-3=2 4^2

Answer:

Slope intercept form of a linear equation:  y = mx + b

(where m is the slope and b is the y-intercept)

[tex]\mathsf{slope=\dfrac{y_2-y_1}{x_2-x_1}}[/tex]

(where [tex]\mathsf{(x_1,y_1)}[/tex] and [tex]\mathsf{(x_2,y_2)}[/tex] are points on the line)

Given:

[tex]\mathsf{slope=\dfrac{21-11}{6-2}=2.5}[/tex]

[tex]y=mx+b[/tex]

[tex]11=2.5\times 2+b[/tex]

[tex]b=6[/tex]

[tex]y=2.5x+6[/tex]