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3 years ago

PLEASE HELP 70 POINTS

Mathematics

2 answers:

8_murik_8 [283]3 years ago

8 0

Answer:

the pdf is bugged so your going to have to repost

Step-by-step explanation:

kolbaska11 [484]3 years ago

4 0

…did you post it correctly? Try again on another question, it shows a blank screen and when you click on it it turns black :/

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The parabola with equation $y=ax^2+bx+c$ is graphed below:

Mashutka [201]

Answer:

$m-n=2$

Step-by-step explanation:

Instead of using the standard form, we can use the vertex form of a quadratic equation:

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

Where a is the leading coefficient, and (h, k) is our vertex.

Our vertex point is at (2, -4). So, let’s substitute 2 for h and -4 for k:

$f(x)=a(x-2)^2-4$

Now, we need to determine a.

We know that it passes through the point (4, 12). So, when x is 4, y must be 12. In other words:

$12=a((4)-2)^2-4$

Solve for a. Subtract within the parentheses:

$12=a(2)^2-4$

Add 4 to both sides:

$16=a(2)^2$

Square:

$16=4a$

Solve:

$a=4$

Thererfore, the value of a is 4.

So, our function is:

$f(x)=4(x-2)^2-4$

Now, let’s find our roots. Set the equation to 0 and solve for x:

$0=4(x-2)^2-4$

$4=4(x-2)^2\\1=(x-2)^2\\x-2=\pm1 \\ x=2\pm1 \\ x=3\text{ or } 1$

So, our roots are 1 and 3.

The greater root is 3 and the lesser root is 1.

Therefore, m-n, where m>n, is 3-1 or 2.

Our final answer is 2.

4 0

3 years ago

Read 2 more answers

Given equation x = 6 + i, w = -1 + 5i and z = 4 - 8i, determine each of the following in the form of a + bi

Temka [501]

Answer:

i) 28 - 30i

ii) 36 + 28i

Step-by-step explanation:

i) x = 6 + i ⇒2x = 2(6 + i) = 12 + 2i

z = 4 - 8i ⇒ 4z = 4(4 - 8i) = 16 - 32i

2x + 4z = (12 + 2i) + (16 - 32i) = 28 - 30i

ii) w = -1 + 5i and z = 4 - 8i

w × z = (-1 + 5i)(4 - 8i) = -4 + 8i + 20i - 40 $i^{2}$ ⇒collect like terms

w × z = -4 + 28i - 40 $i^{2}$

∵ $i^{2}=-1$

∴w × z = -4 + 28i - 40(-1) = -4 + 28i + 40 = 36 + 28i

3 0

3 years ago

2 po

Lyrx [107]

Answer:

Step-by-step explanation:

Girls:Total number of people

89:235

89:47

8 0

3 years ago

Victoria spent one-fourth of her birthday money on clothes. She received another $25 a week later. If she has a total of $70 now

tia_tia [17]

Answer:

she had $60 before she went for shopping

Step-by-step explanation:

PLZ MARK BRAINLIEST

Let x represent the amount of money that Victoria had before she went for shopping.

Victoria spent one-fourth or her birthday money on clothes. It means that the amount she spent on shopping is 1/4 × x = x/4. Amount that she was having left would be x - x/4 = 3x/4

She received another 25$ a week later. The amount that she is having at this point will be 3x/4 + 25

If she has a total of 70$ now, it means that

3x/4 + 25 = 70

Multiplying through by 4

3x + 100 = 280

3x ,= 280 - 100 = 180

x = 180/3 = 60

3 0

3 years ago

Need answer to 2/3+5/4

Anna11 [10]

Answer:

23/12 or 1 and 11/12

Step-by-step explanation:

Your first step is that you need to gain a common denomitor. In this scenario, this is 12. To get this, you can either go through the given factors such as 3 having the factors of 6, 9, and 12 and 4 having the factors of 8, and 12.

Another method is the multiply the two given denominators together, but there are certain instances where you shouldn't do that.

Now that you have a common denominator, you need to change the numerators to accomadate the denominators. For 3 to turn into 12, you need to multiply it by 4, thus you have to do the same to the numerator. For 4 to turn into 12, you need to multiply it by 3. This will give you these two new fractions:

8/12 + 15/12

Add the numerators to get 23/12 and then simplify the two numbers to get the mixed number of 1 and 11/12.

Hope this helps!

8 0

3 years ago

Read 2 more answers