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3 years ago

10 points first person

Mathematics

2 answers:

konstantin123 [22]3 years ago

5 0

Answer:

A. 20

B. 70

C.20

D.70

E. 110

Step-by-step explanation:

Hope this helps

pls tell me if im wrong

Lera25 [3.4K]3 years ago

4 0

Answer:

Step-by-step explanation:

a=20

b=70

c=20

d=70

e=110

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What does rotation do to the pre image of o create it’s image?

olga2289 [7]

The general rule for rotation of an object 90 degrees is (x, y) --------> (-y, x). You can use this rule to rotate a pre-image by taking the points of each vertex, translating them according to the rule, and drawing the image

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3 years ago

Solve 2x^2 + x - 4 = 0 X2 +

damaskus [11]

Answer:

$\large \boxed{\sf \ \ x = -\dfrac{\sqrt{33}+1}{4} \ \ or \ \ x = \dfrac{\sqrt{33}-1}{4} \ \ }$

Step-by-step explanation:

Hello, please find below my work.

$2x^2+x-4=0\\\\\text{*** divide by 2 both sides ***}\\\\x^2+\dfrac{1}{2}x-2=0\\\\\text{*** complete the square ***}\\\\x^2+\dfrac{1}{2}x-2=(x+\dfrac{1}{4})^2-\dfrac{1^2}{4^2}-2=0\\\\\text{*** simplify ***}\\\\(x+\dfrac{1}{4})^2-\dfrac{1+16*2}{16}=(x+\dfrac{1}{4})^2-\dfrac{33}{16}=0$

$\text{*** add } \dfrac{33}{16} \text{ to both sides ***}\\\\(x+\dfrac{1}{4})^2=\dfrac{33}{16}\\\\\text{**** take the root ***}\\\\x+\dfrac{1}{4}=\pm \dfrac{\sqrt{33}}{4}\\\\\text{*** subtract } \dfrac{1}{4} \text{ from both sides ***}\\\\x = -\dfrac{1}{4} -\dfrac{\sqrt{33}}{4} \ \ or \ \ x = -\dfrac{1}{4} +\dfrac{\sqrt{33}}{4}$

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

4 0

3 years ago

#17: If the area of a rectangle measures 20 square inches, the side lengths must

Karo-lina-s [1.5K]

A counterexample could be 2 inches and 10 inches.

4 0

3 years ago

Select the graph that correctly represents ƒ(x) = –2(x + 4)2 – 1.Find the equation of the parabola with its focus at (3,4) and i

IgorC [24]

Answer:

Equation of parabola: 8*(y - 2) = (x - 3)^2

y = (1/8)*(x - 3)^2 + 2

Step-by-step explanation:

focus at (3,4) and its directrix y = 0.

Focus equation: (h, k + c) = (3, 4)

Directrix equation y = k - c = 0

so h = 3, k + c = 4, k - c = 0

Solve the system : k + c = 4 and k - c = 0

add the equations together: k + c + k - c = 4 + 0

2k = 4

k = 2

so k + c = 4, 2 + c = 4, c = 2

4c (y - k) = (x - h)^2

4*2 *(y - 2) = (x - 3)^2

8*(y - 2) = (x - 3)^2

3 0

3 years ago

Brainliest to correct!! Please help :)

Zielflug [23.3K]

Answers: 2700 and 5300 in that order

Katie invested $2700 at a rate of 3% and $5300 at a rate of 4%

===============================================================

Explanation:

x = amount invested at a rate of 3%
y = amount invested at a rate of 4%

Those two amounts must add to 8000 because this is how much she invests total. So x+y = 8000 is the first equation to set up.

The formula we'll be using is the simple interest formula, which is,

i = p*r*t

where p is the amount deposited or principal, r is the interest rate, and t is the number of years. Luckily, we don't have to worry about the time value t because t = 1 so it effectively goes away. We just need to worry about p and r.

The variable p will be tied directly to the values of x and y, as these are deposit amounts. The r values are decimal forms of the percentages (eg: 3% converts to 0.03)

In short, Katie will earn

0.03x dollars from the first account (3% account)
0.04y dollars from the second account (4% account)

In total, she earns 0.03x+0.04y dollars combined. This is set equal to 293 as this is the stated interest she earns over the entire year.

So another equation to set up is 0.03x+0.04y = 293

This only works for simple interest. Compound interest may likely be a different story.

----------------------------------------------------

To summarize so far, we found these two equations:

x+y = 8000
0.03x+0.04y = 293

We have a number of options on how to solve this system. I'll use substitution.

Solve the first equation for y

x+y = 8000

y = 8000-x

Then we'll plug this into the other equation to solve for x like so,

0.03x+0.04y = 293

0.03x+0.04( y ) = 293

0.03x+0.04( 8000-x ) = 293

0.03x+0.04(8000)+0.04(-x) = 293

0.03x+320-0.04x = 293

-0.01x+320 = 293

-0.01x = 293-320

-0.01x = -27

x = -27/(-0.01)

x = 2700

This tells us that Katie invested $2700 at 3%

Use this x value to find y

y = 8000-x

y = 8000-2700

y = 5300

She also invested $5300 at 4%

----------------------------

As a quick check,

x+y = 2700+5300 = 8000

so that works out

Also,

0.03*x = 0.03*2700 = 81
0.04*y = 0.04*5300 = 212
0.03x+0.04y = 81+212 = 293

which also works out. The answers are fully confirmed.

7 0

3 years ago