M=6 And Its Y-Intercept, b= -5

Answer:

B is the answer

Step-by-step explanation:

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Answer:

3 terms

t is the variable

4 is the constant

Answer:

40 cm

Step-by-step explanation:

Since the triangles are similar then the ratio of corresponding sides are equal.

Compare the ratio of the 2 smallest sides

[tex]\frac{12}{3}[/tex] = 4 ← scale factor

Thus the longest side of the other triangle is 4 times the longest side of the first triangle , that is

longest side = 4 × 10 = 40 cm

The average rate of change over an interval is the same as the slope between those two values.  The formulate for slope is:

[tex]m=\frac{y_{2}-y_{1} }{x_{2}-x_{1}}[/tex]

You are given the x values: x2=3 and x1=-9.  Plug in these x values to g(x) find the y values:

g(3)=3^2+5(3)-2=9+15-2=22

g(-9)=(-9)^2+5(-9)-2=81-45-2=34

Now, you can solve for m:

m=(22-34)/(3--9)

m=-12/12

m=1

Hope this helps!!

the  average rate of change of the function over the interval -9 ≤ x ≤ 3​ is -1

The average rate is the change of expression with respect to time.

Given the expression g(x)=x^2+5x-2 within the interval -9 ≤ x ≤ 3​

At the lower interval x = -9

g(-9) = (-9)²+5(-9)-2

g(-9)= 81-45-2

g(-9) = 34

At the upper interval x = 3

g(3) = (3)²+5(3)-2

g(3)= 9+15-2

g(3) = 22

The average change of the function will be expressed as:

[tex]\frac{\triangle y}{\triangle x} =\dfrac{g(b)-g(a)}{b-a}\\ \frac{\triangle y}{\triangle x} =\dfrac{g(3)-g(-9)}{3-(-9)}\\\frac{\triangle y}{\triangle x} =\dfrac{22-34}{12}\\\\\frac{\triangle y}{\triangle x} =\dfrac{-12}{12} \\\frac{\triangle y}{\triangle x} =-1[/tex]

Hence the  average rate of change of the function over the interval -9 ≤ x ≤ 3​ is -1

Learn more here: https://brainly.com/question/7590674

Answer:

2,322,775

Step-by-step explanation:

[tex] a_1=4\\\\

a_i=a_{i-1}+11\\\\

\implies a_2=a_{2-1}+11\\a_2= a_1+11 \\a_2= 4+11 \\a_2= 15\\\\

d = a_2-a_1 \\d= 15-4 \\d= 11\\\\

S_{650}=?\\\\

\implies n = 650\\\\[/tex]

By the formula of sum of an Arithmetic Sequence

[tex] S_n= \frac{n}{2} [2a_1+(n-1)d]\\\\

S_{650}= \frac{650}{2} [2\times 4+(650-1)\times 11]\\\\

S_{650}= 325 [8+649\times 11]\\\\

S_{650}= 325 [8+7,139]\\\\

S_{650}= 325\times 7,147\\\\

\huge \red {\boxed {S_{650}=2,322,775}} [/tex]

Answer:

time greater than 6 hours

Step-by-step explanation:

For this problem, we are given the rate at which the refrigerator's temperature increases and the rate at which the oven's temperature decreases along with the initial temperatures for both.  Using this information, we can determine the amount of time that will need to pass for the two to have equal temperature, or pass each other in opposite directions of temperature.  Let's write the inequality using the information:

40 + 5t > 340 - 45t

Let t be the amount of time passed in hours.  So, we simply need to solve the inequality for t.

40 + 5t > 340 - 45t

40 + 50t > 340

50t > 300

t > 6

Given this information, we know that after 6 hours have passed, the temperature of the fridge and oven will be equal.  So we can say that any time greater than 6 hours, the fridge will have a higher temperature than the oven.

Cheers.

Answer:

144 + 5 = 149

162 - 49 = 113

The truck cannot pass saftely under the bridge.

I hope this is helpful!

Step-by-step explanation:

Step-by-step explanation:

4x + 5 = 21

4x+5-5=21-5

4x=16

Divide both side by 4 so that we can have the x

x=4

Answer:

Step-by-step explanation:

jjjj

Answer:

Note. There is a mismatch between the graph and the equation

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If we go by the equation, then:

Answer:

Step-by-step explanation:

x2 + 14x + 1

Answer:

Step-by-step explanation:

(x²+10x)+(4x−1)

= x² + 10x + 4x − 1

= x² + 14x - 1

Answer:

Answered

Step-by-step explanation:

Answer:

well you did the law of inverse on 6x you proved it by putting the one above it and switched the minus with a plus and divided 24 by 6

Step-by-step explanation:

Answer:

yo thank you man your the best

Tysm have a good day :)

C) reflection over the x-axis

Answer:

Eight less than four times a number is equal to two times the difference of double that same number decreased by three.

Step-by-step explanation:

The given equation is:

4x−8=2(2x−3)

We will try to translate the given equation in English.

We can see that the variable used is only one. On the left hand side of the equation 8 is being subtracted from 4 times of the variable and on the right hand side 3 is being subtracted from 2 times of variable and then being multiplied by two.

From the given option, correct answer is:

Eight less than four times a number is equal to two times the difference of double that same number decreased by three.

Answer:

Step-by-step explanation:

Finding the domain:

The domain of a function is the set of possible input values for which the function is real and defined.

Given the function

[tex]y=-5x-1[/tex]

The function has no undefined points nor domain constraints. Hence, the domain is

[tex]-\infty \:<x<\infty \:[/tex]

i.e.

[tex]\mathrm{Domain\:of\:}\:-5x-1\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:<x<\infty \\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:\infty \:\right)\end{bmatrix}[/tex]

Finding the range:

The range of a function is the set of possible output values (dependent variable y values) for which a function is defined.

The range of polynomials with odd degree is all the real numbers.

Hence, the domain is

[tex]-\infty \:<y<\infty \:[/tex]

i.e.

[tex]\mathrm{Range\:of\:}-5x-1:\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:<f\left(x\right)<\infty \\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:\infty \:\right)\end{bmatrix}[/tex]

Answer:

[tex]\frac{3}{5}x=30[/tex] or [tex]\frac{3}{5}(\frac{5}{3})x=30(\frac{5}{3})[/tex] or x = 50

Step-by-step explanation:

Answer:

1,360,000

Step-by-step explanation:

1,700,000-340,000 = 1,360,000 or 1.36×10^5

Answer:

x=2

Step-by-step explanation:

2/12 is equal to 12/72

Answer:

its 2

Step-by-step explanation:

Answer:

[tex]\frac{n^{2}}{2a}[/tex]

Step-by-step explanation:

Answer:

(n^2)/2a

Step-by-step explanation:

We'll take this in small steps. Don't worry and follow along if you wish :D

Where do we start? Well, first, we notice that all of the numbers/variables (on both the denominator and the numerator) are multiplied by each other. If this case had addition or subtraction in the fraction, the explanation would have differed.

Let's take on a simpler example to show you what I mean. Here's a relatively simpler equation with no pesky variables:

(1 + 3)/4

This equation has to be broken down like this:

1/4 + 3/4

And although we could just do (1 + 3) quickly and divide by 4, consider it if we replace them with numbers instead, or variables in other words:

(x + y)/x

Then, it would work the same way as the previous example:

x/x + y/x

And that would further simplify to (1 + y/x).

But, we're lucky! Because there is no addition or subtraction, we won't have to divide all the numbers that are in the numerator with the number(s) in the denominator. Consider this:

(3*4)/4

We only need to divide 4 by the denominator (which is also four, in this case) and not both 3 and 4 like how we would solve if it had addition or subtraction.

First step! Let's take all of the variables out of this nasty equation we have on our hands to make it simpler:

(9an^3)/(18a^2n)

We would be left with...

9/18

And then we would reduce to leave 1/2. Notice that if we add all the variables back, we would have:

(1an^3)/(2a^2n)

Or (an^3)/(2a^2n)

If we write it out, we'll find this equation a tad bit easier with the large numbers dealt with (although I will admit, it doesn't look that great on the screen—lol)!

Back to business. Here, we need to simplify the variables. Given, we have to remember that variables are just your every-day number (but unknown). Because of that, we get to divide them very much like how we would with regular numbers. Rope in some of our previous lesson about not having to divide all the numbers on the numerator from the denominator from the beginning, too!

(an^3)/(2a^2n)

You can cancel out the variable a^ in this equation. That would leave you with:

(n^3)/(2an)

Try to simplify the rest on your own and use my work to check your answers! if you can't, then no worries. Follow along with me :D

We can also reduce using n. That will leave:

(n^2)/2a

And then you're done! I would recommend more questions like these (if you aren't already doing them) because you'll be using simplifying techniques similar to this equation in the future.

Good luck and keep studying!

Answer:

38.4 minutes

Step-by-step explanation:

Assuming the error was 20% less

Answer:

40 mins

Step-by-step explanation:

Answer:

the height is 0.6367 so the surface area is 68.55

Surface area is the total area of an object's outer facing surfaces. The total surface area is calculated by adding all the areas on the surface: the areas of the object's base, top, and lateral surfaces (sides).

You can use r2 to replace B (area of the base), which is a type of prism with a circular base, and 2r to replace p. (perimeter of the base). The surface area of a cylinder is calculated as SA=2r2+2rh.

Therefore,

The cylinder's surface area is 264 cm2 (approximately)

3 unit is the cylinder's radius.

The cylinder's height is 18 units

To locate:

Area of contact

Having said that,

Cylinder surface area = 2r(h + r)

replacing the necessary values,

Surface area is equal to

2 x 22 /7 x 3 × 3( Plus 4)

Surface area equals 264/7 (7)

Surface area equals 1848/7

264 cm2 is the surface area.

The cylinder's surface area is 264 cm2 (about).

To learn more about surface area, refer to:

https://brainly.com/question/27440983

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Answer:

Mallory gets paid $20 for every 1 hour.

Step-by-step explanation:

You take the lowest set of numbers in this table, & divide them to find how much it would be for 1 hour: $40÷2hours= $20

ratio 1 hr./20 dollars

Step-by-step explanation:

If one dollar can buy a bottle of mineral water, then;

$1 = 1 bottle

To determine the amount of mineral water you can drink  with at most  20 dollars, we will say;

$20 = x bottle

Solving both equality postulate;

$1 = 1 bottle

$20 = x bottle

Cross multiply

1 * x = 20 * 1

x = 20

Hence about 20 bottles of mineral drink can be bought with at most 20 dollars

Answer: 39

Step-by-step explanation:

You exchange $20 for twenty bottles of mineral water.

[Drank: 20

Exchanged: 20/2=10]

[Drank: 20+10

Exchanged: 10/2=5]

[Drank: 20+10+5

Exchanged: 4/2=2]

[Drank: 20+10+5+2+1

Exchanged: 2/2=1]

Drank in total: 20+10+5+2+1+1

which is = 39

Answer:

2 1/6

Step-by-step explanation:

Answer:

y= 3/5x + 3

Step-by-step explanation:

slope= 3/5

y intercept= 3

Answer: [tex]y=\frac{3}{5} x+3[/tex]

Step-by-step explanation:

To find the equation of the graph, we need to know the slope and y-intercept. We can find the slope by using the formula [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]. Then, we use a point to find the y-intercept. Let's use the points (0,3) and (-5,0).

[tex]m=\frac{0-3}{-5-0} =\frac{-3}{-5} =\frac{3}{5}[/tex]

Now that we know the slope, we can plug in any point to find the y-intercept.

[tex]3=\frac{3}{5} (0)+b[/tex]            [multiply]

[tex]b=3[/tex]

Now, we know the equation is [tex]y=\frac{3}{5} x+3[/tex].

Answer:

-14

explanation:

(16 ÷  4 )x 2)-(16 x 4 )÷ 2)

so 16 ÷ 4 is 4.

4x2 is 8

16x4 is 32

32 ÷ 2 is 16

2-16

-14

so basically its 14

if i got it wrong it can be 24