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suter [353]
3 years ago
10

Find the set of values of k for which the equation 2x2 - 10x + 8 = kx has no real root

Mathematics
1 answer:
Masja [62]3 years ago
6 0

Answer: k= -10x+12

Step-by-step explanation:

You might be interested in
16x^2 - 49 when factored is ?
vaieri [72.5K]

Answer:

(4x-7)(4x+7)

Step-by-step explanation:

This is called the Difference of Two Squares (DOTS).

These are the conditions that must be met for DOTS to work:

•There must be 2 terms.

•They must be separated by a negative sign.

•Each term must be a perfect square.

First, you have to find 2 square numbers that times together to make 16.

4×4=16

As we want 16x², you just need to make the 4 become 4x:

4x times 4x equals 16x²

Then, find 2 squares that times together to make 49.

7×7=49

You can put the two squares into a bracket with the x variable first, then the number:

(4x-7)(4x+7)

In the brackets, you always put the negative sign in the first one and then the plus sign in the second one.

You can double check your answer by expanding it back out again using FOIL:

F-First

O-Outer

I-Inner

L-Last

Times the First two in the two brackets:

4x times 4x equals 16x²

Times the Outer two:

4x times 7 equals 28x

Times the Inner two:

-7 times 4x equals -28x

Times the Last two:

-7 times 7 equals -49

Form an equation:

16x²+28x-28x-49

The 28x cancel out to leave:

16x²-49

Hope this helps :)

3 0
2 years ago
Explain the error a student is asked to find when the value of an investment of $5200 is an account that earns 4.2% annual inter
zloy xaker [14]

We are given the following information

Investment = $5200

Annual interest rate = 4.2% = 0.042

Final amount = $16,500

Number of years = 27.7 years

Number of compoudings = quartely = 4

The student uses the following model

V(t)=5200(1.014)^{3t}

The general formula for compound interest is given by

V(t)=P(1+\frac{r}{n})^{nt}

As you can see, the number of compoundings is incorrect (3 vs 4)

The interest rate is also incorrect.

Let us substitute the given values into the above formula

\begin{gathered} V(t)=P(1+\frac{r}{n})^{nt} \\ V(t)=5200(1+\frac{0.042}{4})^{4\cdot27.7} \\ V(t)=5200(1+0.0105)^{110.8} \\ V(t)=5200(1.0105)^{110.8} \\ V(t)=\$16543.5^{} \end{gathered}

Therefore, the final amount is approximately $16,543.5

5 0
1 year ago
Debbie is 5 years older than
vovikov84 [41]

Answer:

Susan is 3 years  and Debbie is 8 years old. after 2 years Susan will be 5 Years and Debbie will be 10 years old

Step-by-step explanation:

let the present age of Susan be x years then Debbie is x+5 years

in 2 years

x +2 = x+5+2/2

x+2=x+7/2

2x +4 = x+7

x=3

6 0
3 years ago
Paul needs to buy 5_8pound of peanuts. The scale at the store measures parts of a pound in sixteenths. What measure is equivalen
ryzh [129]

Answer:

10 ÷ 16

Step-by-step explanation:

The computation is shown below

Given that

Paul required to buy 5 by 8 pound of peanuts

And, the scale at the store is in sixteenths

So, the measure that should be equivalent is

Here the denominator should be 16 so it should be multiplied by 2

= 5 ÷ 8 × 2 ÷ 2

= 10 ÷ 16

3 0
2 years ago
Maria bought seven boxes. A week later half of all her boxes were destroyed in a fire. There are now only 22 boxes left. with ho
geniusboy [140]
37 is the answer because she has half left 22 so that she had 44 - 7 = 37
8 0
3 years ago
Read 2 more answers
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