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4 years ago

Ten points to the correct answer

Mathematics

2 answers:

ale4655 [162]4 years ago

8 0

This should be the correct answer.

Rama09 [41]4 years ago

4 0

The blue line has a slope of 1 and a y-intercept at 0. In slope intercept form, this equation is y = x. The line is solid and not dashed. This means the inequality could include numbers ON the line itself. The shading is on the left side of the line so it's a greater than equation.

The blue inequality is y ≥ x.

The red line has a slope of 0 and a y-intercept at 6. Slope-intercept form: y = 6 The line is solid and not dashed meaning numbers on the line are again included. The shading is below the horizontal line created so it is a less than inequality.

The red inequality is y ≤ 6

Your system of linear inequalities would be:

y ≥ x

y ≤ 6

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Drag each equation to show if it could be a correct first step to solving the equation 8(x + 5) = 56.

cupoosta [38]

Answer:

8x+40=56

Step-by-step explanation:

You have to distribute the 8

Then finish the rest of the problem

7 0

3 years ago

Whats 834×5 plz tell me

amm1812

It is 4170 I believe if my calculations are correct

5 0

3 years ago

Read 2 more answers

Help please, also explain

olga55 [171]

Firstly, It says that the two triangles are similar .

The scale factor is 2 as 12 / 6 = 2

25 + 85 = 110

180 - 110 = 70.

70 degrees

8 0

3 years ago

Read 2 more answers

Which polynomial function has a leading coefficient of 1 and roots (7 i) and (5 – i) with multiplicity 1? f(x) = (x 7)(x – i)(x

Nuetrik [128]

It looks like you might have intended to say the roots are 7 + i and 5 - i, judging by the extra space between 7 and i.

The simplest polynomial with these characteristics would be

$f(x) = (x - (7 + i)) (x - (5 - i))$

but seeing as each of the options appears to be a quartic polynomial, I suspect f(x) is also supposed to have only real coefficients. In that case, we need to pair up any complex root with its conjugate to "complete" f(x). We end up with

$f(x) = (x - (7 + i)) (x - (7 - i)) (x - (5 - i)) (x - (5 + i))$

which appears to most closely resemble the third option. Upon expanding, we see f(x) does indeed have real coefficients:

$f(x) = (x^2 - (7^2 - i^2)) (x^2 - (5^2 - i^2)) = (x^2 - 8) (x^2 - 6) = x^4 - 14x^2 + 48$

5 0

2 years ago

A number, x, rounded to 1 decimal place is 3.7<br> Write down the error interval for x.

soldier1979 [14.2K]

Answer: (3.65, 3.74)

Step-by-step explanation:

Now, when we round a number to a given decimal place, we need to look at the decimal to the left of the decimal place where we are rounding.

if it is 5 or more, we round up

if it is smaller than 5, we round down.

Then for example, if we want to round:

4.534

to the first decimal place, we need to look at the second decimal place.

we can see that it is a 2.

Then we round down, and get:

4.5

Now we know that, when rounding to the first decimal place, we have:

x = 3.7

Then the maximum value that x could have is:

x = 3.74 (because here we round down to 3.7)

and the minimum value that x could have is:

x = 3.65 (because here we round up to 3.7)

Then the error interval for x is:

(3.65, 3.74)

6 0

3 years ago