Can someone please do number 30.

Answers

Answer 1

Answer: $To\ find\ b\ you\ have\ to\ put\ (2,6)\ into\ second\ eqution:\n\ny=2.5x+b\n\n6=2.5\cdot2+b\n6=5+b\n6-5=b\nb=1\n\nb\ have\ to\ be\ equal\ 1.$

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-27=-3p+15-3p solve the equation and show your work

You want to find the height of one of the tires. Which measurement would best describe the height

Answers

depends pn how big the tire is so it might be meter or centimetre

Explain how to estimate 368+231 two different ways

Answers

The two different ways of addition are mentioned above.

Given that,
To estimate 368+231 two different ways.

What is arithmetic?

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,

Here,
One way,
= 368 + 231
= 400 - 32 + 200 + 31
= 600 - 1
= 599

Second way
= 368 + 231
= 300 + 68 + 200 + 31
= 500 + 99
= 599

Thus, the two different ways of addition are mentioned above.

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we know that

One very simple form of estimation is rounding.

To round off whole numbers:

Find the place value you want (the "rounding digit") and look to the digit just to the right of it.

If that digit is less than $5$ , do not change the "rounding digit" but change all digits to the right of the "rounding digit" to zero.

If that digit is greater than or equal to $5$ , add one to the rounding digit and change all digits to the right of the rounding digit to zero.

Part a) Estimate $(368+231)$ rounding the numbers to nearest hundreds

$368$

$368 > 350$ ------> round up to $400$

$231$

$231 < 250$ ------> round down to $200$

$(368+231)=400+200=600$

therefore

the answer part a) is

$600$

Part b) Estimate $(368+231)$ rounding the numbers to nearest tens

$368$

$68 > 65$ ------> round up to $370$

$231$

$31 < 35$ ------> round down to $230$

$(368+231)=370+230=600$

therefore

the answer part b) is

$600$

What is 287 divided by 68 estimated

Answers

When you divide 287 by 68, when it is not rounded, you will get 4.22058823529... (repeated decimal), but when you round it, you can either get the following: 4.22, 4.2, or 4 (choose which ever you want to pick out of these rounded forms.)

Hope this helped!

Nate

Some help me with this please!!

Answers

First of all observe that

$r^6s^3=(r^2s)^3 \implies \sqrt[3]{r^6s^3}=\sqrt[3]{(r^2s)^3}=r^2s$

So, we have

$\log(r^5s^6\sqrt[3]{r^6s^3})=\log(r^5s^6\cdot r^2s)$

We can simplify the input as

$\log(r^5s^6\cdot r^2s)=\log(r^7s^7)$

The logarithm of a multiplication is the sum of the logarithms:

$\log(r^7s^7)=\log(r^7)+\log(s^7)$

Finally, invoke the logarithm property $\log(a^b)=b\log(a)$

to get the final answer

$\log(r^7)+\log(s^7)=7\log(r)+7\log(s)$

Divide p(x) = x4 + 6x3 + 7x2 − 6x − 8 by x + 4 and by x − 3 to find the remainder in each case. Make sure to use the remainder theorem.

Answers

The remainder theorem says that dividing a polynomial $p(x)$ by $x-c$ leaves a remainder of $p(c)$ . Here, $c=-4$ , then $c=3$ .

$p(-4)=0$

$p(3)=280$

Final answer:

When you divide the given polynomial by x + 4, the remainder is 0. When you divide by x - 3, the remainder is 428.

Explanation:

To divide the polynomial p(x) = x^4 + 6x^3 + 7x^2 − 6x − 8 by x + 4 and x - 3 using the remainder theorem, first you substitute the roots of the divisor into the polynomial.

For x + 4, the root is -4. Substituting -4 into the polynomial yields p(-4) = (-4)^4 + 6*(-4)^3 + 7*(-4)^2 - 6*(-4) - 8 = 0. Thus, the remainder is 0 when dividing by x + 4.

For x - 3, the root is 3. Substituting 3 into the polynomial yields p(3) = (3)^4 + 6*(3)^3 + 7*(3)^2 - 6*(3) - 8 = 428 . Thus, the remainder is 428 when dividing by x - 3.

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Which choice describes a question that could be answered by moving the decimal point 3 places to the right?A.
multiplying 31.04 by 100

B.
multiplying 31.04 by 1,000

C.
dividing 31.04 by 102

D.
dividing 31.04 by 103

Answers

The answer is B.

When we multiply by 1000, we move the decimal place 3 times to the right(or add 3 zeroes).

Just count the number of zeroes and move it that many places to the right(if it starts with '1').

multiplying 31.04 by 1000 = 31040