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3 years ago

BRAINLIEST if right!

Mathematics

1 answer:

Vaselesa [24]3 years ago

3 0

Answer:

The equation: 2 + 1.75m < 35

Solution: m < 10

Shannon can travel 10 miles or less

Step-by-step explanation:

You add the initial $2 fee plus $1.75 per mile. Since she wants to pay less than 35, the inequality is 2 + 1.75m < 35.

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WILL GIVE BRAINLIEST! PLZ HELP ASAP! <br> What is the order of operations for 4.8 x 2 + 3.2?

KatRina [158]

Answer:

12.8

Step-by-step explanation:

Here multiplication is done before addition.

Given

4.8 × 2 + 3.2 ← perform multiplication

= 9.6 + 3.2 ← perform addition

= 12.8

7 0

3 years ago

Read 2 more answers

A teacher writes an inequality x divided by 6 < -2 on the board. Vincent incorrectly solves the inequality and obtains x <

scZoUnD [109]

The error Vincent made was that he only multiplied the left side of the inequality with 6 although he had to multiply on both sides

Step-by-step explanation:

Given inequality that the teacher wrote is:

$\frac{x}{6} -2$

Solving an inequality means that the variable should be isolated on left side of the inequality.

So multiplying both sides by 6

$6* \frac{2}{6} < -2 * 6\\x < -12$

Vincent got the answer is x<-2 = > The error Vincent made was that he only multiplied the left side of the inequality with 6 although he had to multiply on both sides

Keywords: Inequality, solution

Learn more about inequalities at:

#LearnwithBrainly

4 0

3 years ago

7 2/15 + 5 2/3 + 9 13/15

Taya2010 [7]

Answer:

The answer is 22 2/3

7 0

3 years ago

Match the parabolas represented by the equations with their foci.

Brrunno [24]

Answer:

Step-by-step explanation:

Before we begin this, there are a few things that need to be said and a few formulas you need to know. First is that we need to use the work form of a parabola, which is

$y=a(x-h)^2+k$

All of the parabolas listed in blue highlight open either up or down, and this work form represents those 2 options. The only thing we need to know is that if there is a negative sign in front of the a, the parabola opens upside down like a mountain instead of up like a cup.

Another thing we need to know is how to find the focus of the parabola. The formula to find the focus for an "up" parabola is (h, k + p) and the formula to find the focus for an upside down parabola is (h, k - p). Then of course is the issue on how to find the p. p is found from the a in the above work form parabola, where

$p=\frac{1}{4|a|}$ .

In order to accomplish what we need to accomplish, we need to put each of those parabolas into work form (as previously stated) by completing the square. I'm hoping that since you are in pre-calculus you have already learned how to complete the square on a polynomial in order to factor it. Starting with the first one, we will complete the square. I'll go through each step one at a time, but will provide no explanation as to how I got there (again, assuming you know how to complete the square).

$y=-x^2+4x+8$ and, completing the square one step at a time:

$-x^2+4x=-8$ and

$-(x^2-4x+4)=-8-4$ and

$-(x-2)^2=-12$ and

$-(x-2)^2+12=y$

From this we can see that the h and k values for the vertex are h = 2 and k = 12. Now to find p.

$|a|=1$ , ∴

$p=\frac{1}{4(1)}=\frac{1}{4}$

Using the correct focus formula (h, k - p), we get that the focus is

$(2, 12-\frac{1}{4})$ which simplifies to (2, 11.75) which is choice 2 in your options.

Now for the second one (yes, this takes forever...)

$y=2x^2+16x+18$ and completing the square one step at a time:

$2x^2+16x=-18$ and

$2(x^2+8x+16)=-18+32$ and

$2(x+4)^2=14$ and

$2(x+4)^2-14=y$

From this we can see that the vertex is h = -4 and k = -14. Now to find p from a.

$|a|=2$ , ∴

$p=\frac{1}{4(2)}=\frac{1}{8}$ .

Using the correct focus formula for an upwards opening parabola (h, k + p),

$(-4, -14+\frac{1}{8})$ which simplifies down to (-4, -13.875) which is choice 3 in your options.

Now for the third one...

$y=-2x^2+5x+14$ and completing the square step by step:

$-2x^2+5x=-14$ and

$-2(x^2-\frac{5}{2}x+\frac{25}{16})=-14-\frac{50}{16}$ and

$-2(x-\frac{5}{4})^2=-\frac{137}{8}$ and

$-2(x-\frac{5}{4})^2+\frac{137}{8}=y$

From that we can see the vertex values h and k. h = 1.25 and k = 17.125. Now to find p.

$|a|=2$ , ∴

$p=\frac{1}{4(2)}=\frac{1}{8}$

Using the correct focus formula for an upside down parabola (h, k - p),

$(1.25, 17.125-\frac{1}{8})$ which simplifies down to (1.25, 17) which is choice 4 in your options.

Now for the fourth one...

$y=-x^2+17x+7$ and completing the square step by step:

$-x^2+17x=-7$ and

$-(x^2-17x)=-7$ and

$-(x^2-17x+72.25)=-7-72.25$ and

$-(x-8.5)^2=-79.25$ and

$-(x-8.5)^2+79.25=y$

From that we see that the vertex is h = 8.5 and k = 79.25. Now to find p.

$|a|=1$ , ∴

$p=\frac{1}{4(1)}=\frac{1}{4}$

Using the correct formula for an upside down parabola (h, k - p),

$(8.5, 79.25-\frac{1}{4})$ which simplifies down to (8.5, 79) and I don't see a choice from your available options there.

On to the fifth one...

$y=2x^2+11x+5$ and again step by step:

$2x^2+11x=-5$ and

$2(x^2+\frac{11}{2}x+\frac{121}{16})=-5+\frac{242}{16}$ and

$2(x+\frac{11}{4})^2=\frac{81}{8}$ and

$2(x+\frac{11}{4})^2-\frac{81}{8}=y$

from which we see that h = -2.75 and k = -10.125. Now for p.

$|a|=2$ , ∴

$p=\frac{1}{4(2)}=\frac{1}{8}$

Using the correct focus formula for an upwards opening parabola (h, k + p),

$(-2.75, -10.125+\frac{1}{8})$ which simplifies down to (-2.75, -10) which is choice 1 from your options.

Now for the last one (almost there!):

$y=-2x^2+6x+5$ and

$-2x^2+6x=-5$ and

$-2(x^2-3x+2.25)=-5-4.5$ and

$-2(x-1.5)^2=-9.5$ and

$-2(x-1.5)^2+9.5=y$

from which we see that h = 1.5 and k = 9.5. Now for p.

$|a|=2$ , ∴

$p=\frac{1}{4(2)}=\frac{1}{8}$

Using the formula for the focus of an upside down parabola (h, k - p),

$(1.5, 9.5-\frac{1}{8})$ which simplifies down to (1.5, 9.375) which is another one I do not see in your choices.

Good luck with your conic sections!!!

7 0

3 years ago

Which equation is represented by the graph below ?

kotegsom [21]

The equation that represent the graph is y = (1/2)eˣ , Option B is the correct answer.

<h3>What is an Exponential Function ?</h3>

An exponential function is what is denoted as y = eˣ

The graph has to be studied and the equation has to be determined.

To determine we will consider x = 0 for all the equation ,. which will give the y intercept , which is below 1 so Option C and D are stroked out.

Now we plot the graph for equation A and B

It can be easily understood from the graph that at x =0 , y = 0.5

Therefore , the equation that represent the graph is

y = (1/2)eˣ

Option B is the correct answer.

To know more about Exponential Function

brainly.com/question/11487261

#SPJ1

5 0

2 years ago