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Andrei [34K]
3 years ago
5

Determine the number of solutions for each quadratic.

Mathematics
1 answer:
DiKsa [7]3 years ago
4 0

Answer:

1. Technically 2, but might be 0 in your teacher's opinion.

2. 1

Step-by-step explanation:

Solving problem one.

So I don't know if you have learned about imaginary numbers, but if you have, then you would end up with two answers if you plugged in the quadratic formula.

If you haven't learned about imaginary numbers, then I would say your best option would be to write 'No real solution' since there are technically 2 solutions.

Solving problem two.

Turns out this quadratic has a special property and it's actually a square of one equation. You can find out by just factoring the equation.

It's (3x-2)^2.  Since it's squared, that means that only 2/3 would work as x in this equation.

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Data from the Centers for Medicare and Medicaid Services indicates that the annual per capita out-of-pocket expenses for health
Talja [164]

Answer:

During the year 2021.

Step-by-step explanation:

As we have a function that defines the annual per capita out-of-pocket expenses for health care, we can work with it.

Knowing that, <u>we clear x</u> (<em>this is the number of years past the year 2000, so it will contain our desired information</em>).

y=39.6x+543\Leftrightarrow x=\frac{y-543}{39.6}

Now, as we want to know when are the per capita out-of-pocket expenses for health care predicted to be $1400, and <em>this total is our variable y</em>, then

x=\frac{1400-543}{39.6}\approx 21.6

Finally, we know that <u>x is the number of years past the year 2000</u>, so the answer is that during the year 2021, <em>the per capita out-of-pocket expenses for health care are predicted to be $1400</em>.

3 0
3 years ago
How to represent fracctions on a line
krek1111 [17]
You know the lines on a number line those can be fractions
6 0
3 years ago
Please help to solve this please with steps.
Blababa [14]

Answer:

284cm^2

Step-by-step explanation:

first, we split up the shape into seperate sections that we can easily find the areas of.

i will draw vertical lines in the bottom left and right, leaving me with 2 seperate rectangles and 1 irregular pentagon.

we know that these rectangles are 4x8cm, so we do 4 * 8 which gives us 32.

there are 2 of these, so 32 x 2 = 64cm^2.

now, i chose to seperarte the pentagon into a rectangle and a triangle,

and i found the height and width of the rectangle to be (18 - (4+4)) x (8+7), or 10 x 15.

the area of the rectangle is 150cm^2.

now, for the triangle.

the line through the centre of th shape is 22cm long, but we only want the part in the triangle. luckily, there are mesurements that can help us with this.

8 + 7 = 15.

22 - 15 = 7.

now we know that the height of the triangle is 7 cm.

from earlier, we also know the base, which is 10cm.

7 x 10 = 70cm^2.

now we add all these together:

70 + 150 + 64 = 284cm^2

4 0
3 years ago
URGENT PLEASE HELP!!
Lostsunrise [7]

Answer:

the answer I got is a=-the sign and but 2b under it +7

3 0
2 years ago
Solve for rrr: \dfrac{7}{10}=r-\left(-\dfrac{8}{5}\right) 10 7 ​ =r−(− 5 8 ​ )start fraction, 7, divided by, 10, end fraction, e
user100 [1]

Answer:

r = -9/10

Step-by-step explanation:

Given

7/10 = r - (-8/5)

Required

Solve for x

7/10 = r - (-8/5)

We start by opening the bracket

7/10 = r + (- -8/5)

7/10 = r + (8/5)

7/10 = r + 8/5

Subtract 8/5 from both sides

7/10 - 8/5 = r + 8/5 - 8/5

7/10 - 8/5 = r

Solve the fraction by taking their LCM

(7 - 16)/10 = r

-9/10 = r

Reorder the above

r = -9/10

Hence, the value of r is -9/10

3 0
3 years ago
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