All categories

2 years ago

How many solutions does the system have? y=−2x+4y=x2−2x+4

Mathematics

1 answer:

zlopas [31]2 years ago

5 0

Answer:

One solution

Step-by-step explanation:

we have

$y=-2x+4$ ---> equation A

$y=x^{2}-2x+4$ ---> equation B

Solve the system by graphing

Remember that the solution of the system is the intersection point both graphs

using a graphing tool

there's only one point of intersection

The solution is the point (0,4)

see the attached figure

therefore

The system of equations has only one solution

You might be interested in

Camp Company had total earnings of $600 million in 2013, out of which it retained 20 percent for future investments. In 2013, it

s344n2d4d5 [400]

Answer: $20

Step-by-step explanation:

First, the earnings per share will be:

= $600 mill / 100 mill shares

= $6 per share

Since the retention ratio is 20%, it means that the payout ratio = 100% - 20% = 80%.

Therefore, the dividend per share will be:

=$6 × 80%

= $6 × 0.8

=$4.80

We will calculate then calculate market price as:

Dividend yield =Dividend per share / Market price

0.04 =$4.80 / Market price

Market price =$4.80 / 0.04

Market price = $120

The price earnings ratio will be:

= Market price / EPS

= $120 / $6

= $20

4 0

3 years ago

The amount of fat, in grams, in granola is proportional to the volume, in cups, of the granola as shown on graph.

Feliz [49]

A store sells tea cups in sets of 9 and saucers in sets of 12. The store sold the same number of individual cups and saucers in the same day. What is the least number of individual cups and saucers the store could have sold?

8 0

2 years ago

Read 2 more answers

4×____×1=12 ?=____. please help me solve this question

Triss [41]

Answer:

4 x 3 x 1 = 12

12 = 12

Step-by-step explanation:

I used a calculator, pls let me know if im incorrect

8 0

3 years ago

Someone help me with number 7 please!!

andriy [413]

P is inversely proportional to V
That is P = k/V where k is some constant.
Plug in the given values for P and V:-

25 = k/400 giving k = 10,000

so the relation is P = 10,000 / V

when V = 200 , 200P = 10,000

Its A

6 0

2 years ago

Find the 10th partial sum of the arithmetic sequence defined by

Evgesh-ka [11]

Answer:

22.5

Step-by-step explanation:

If you expand the series, you can see the first few terms of the series:

Putting 1 in $n$ , $\frac{1}{2}(1)-\frac{1}{2}=0$
Putting 2 in $n$ , $\frac{1}{2}(2)-\frac{1}{2}=0.5$
Putting 3 in $n$ , $\frac{1}{2}(3)-\frac{1}{2}=1$
Putting 4 in $n$ , $\frac{1}{2}(4)-\frac{1}{2}=1.5$

We can see the series is 0, 0.5, 1, 1.5, ....

This is an arithmetic series with common difference (the difference in 2 terms) 0.5 and first term 0.

We know formula for sum of arithmetic series:

$s_{n}=\frac{n}{2}(2a+(n-1)d)$

Where,

$S_{n}$ denotes the nth partial sum
$a$ is the first term (in our case it is 0)
$n$ is the term (in our case it is 10 since we want to find 10th partial sum -- sum until first 10 terms)
$d$ is the common difference (difference in term and the previous term) (in our case it is 0.5)

Substituting these into the formula, we get the 10th partial sum to be:

$s_{10}=\frac{10}{2}(2(0)+(10-1)(0.5))\\s_{10}=5(0+(9)(0.5))\\s_{10}=5(0+4.5)\\s_{10}=5(4.5)\\s_{10}=22.5$

So the sum of the first 10 terms is 22.5. Third answer choice is right.

8 0

3 years ago

Read 2 more answers