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3 years ago

Find the number of solutions of -x^2 + 5x - 4 = 0.

Mathematics

1 answer:

Mekhanik [1.2K]3 years ago

6 0

Answer:

There are 2 solutions for the equation -x^2 + 5x - 4 = 0 i.e x=1 and x=4

Step-by-step explanation:

We can find the number of solutions of the given equation -x^2 + 5x - 4 = 0 by solving the equation using factors method to solve the quadratic equation.

$-x^2 + 5x - 4 = 0\\Taking\,\, - sign\,\, common\\x^2 - 5x + 4 = 0\\making\,\, factors\,\, of\,\, 4x^2\\x^2 -4x -x +4 = 0\\x(x -4) -1 (x - 4) = 0\\(x-1)(x-4)=0\\x-1 = 0 \,\, and \,\, x-4 =0\\x = 1 \,\,and\,\, x = 4\\$

The values of x are:

x=1 and x=4

So, there are 2 solutions for the given equation -x^2 + 5x - 4 = 0

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Each month, the census bureau mails survey forms to 250,000 households asking questions about the people living in the household

allsm [11]

Answer:

Option D is correct. All US households are among the population of interest.

Step-by-step explanation:

The Census bureau is a national body in the U.S. and they do the survey of 250000 different households monthly. The surveys go out to all corners of the U.S. depending on which part of the nation is doing the survey next.

It shows that the entire U.S. population is of interest to the census bureau.

5 0

3 years ago

Write the equation of the line in slope intercept form that passed through (1, 4) and (3, 18)

romanna [79]

Answer:

y=7x+11

Step-by-step explanation:

to find the slope we need to do $\frac{18-4}{3-1}$ which is $\frac{14}{2}$ or 7.

then, we put this into point slope form (y-y1)=m(x-x1).

y-4=7(1)

we make the x value 0 in order to find the y-intercept.

y=11 since we multiply 7 by 1 to get 7, and add 4 onto both sides.

then we put the slope and the y-intercept into slope intercept form and get y=7x+11.

8 0

3 years ago

Can someone tell me if I’m correct, if not please fix me

bixtya [17]

Answer:

You are absolutely correct!

Step-by-step explanation:

An inscribed angle in a circle has half the measure of the corresponding arc.

6 0

3 years ago

Find the value of c that makes x^2+26x+c a perfect-square trinomial.

MakcuM [25]

C = 169

square is (x + 13)^2

Explanation:

In the form:
ax^2+ bx +c
to complete the square a = 1 is required.
c = (b/2)^2
the square term is b/2
x^2 + 26x + c
a = 1 so we are okay to complete the square.
b = 26
c = (26/2)^2 = 13^2 = 169
finally to complete the square:
x^2 + 26x + 169 = (x+b/2)^2 = (x+13)^2

6 0

3 years ago

Its not C. So which one is it. Help

Over [174]

I think the answer is B

5 0

4 years ago

Read 2 more answers