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Stels [109]
3 years ago
7

What is the sum of the polynomials? (m + n + 3) + (m + n + 4)

Mathematics
2 answers:
Ainat [17]3 years ago
4 0

Answer:

i honestly dk but need help

Step-by-step explanation:

ls

Karo-lina-s [1.5K]3 years ago
4 0

Answer:

2m+2n+7

Step-by-step explanation:

See image below:)

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Solve this inequality algebracially. |3-x|>10
xeze [42]

Answer:

x < -7 or x > 13

Step-by-step explanation:

3 - x < -10 or 3 - x > 10

-x < -13      or    -x > 7

x > 13         or    x < -7

Answer: x < -7 or x > 13

8 0
2 years ago
Read 2 more answers
Show work please<br> \sqrt(x+12)-\sqrt(2x+1)=1
Nesterboy [21]

Answer:

x=4

Step-by-step explanation:

Given \displaystyle\\\sqrt{x+12}-\sqrt{2x+1}=1, start by squaring both sides to work towards isolating x:

\displaystyle\\\left(\sqrt{x+12}-\sqrt{2x+1}\right)^2=\left(1\right)^2

Recall (a-b)^2=a^2-2ab+b^2 and \sqrt{a}\cdot \sqrt{b}=\sqrt{a\cdot b}:

\displaystyle\\\left(\sqrt{x+12}-\sqrt{2x+1}\right)^2=\left(1\right)^2\\\implies x+12-2\sqrt{(x+12)(2x+1)}+2x+1=1

Isolate the radical:

\displaystyle\\x+12-2\sqrt{(x+12)(2x+1)}+2x+1=1\\\implies -2\sqrt{(x+12)(2x+1)}=-3x-12\\\implies \sqrt{(x+12)(2x+1)}=\frac{-3x-12}{-2}

Square both sides:

\displaystyle\\(x+12)(2x+1)=\left(\frac{-3x-12}{-2}\right)^2

Expand using FOIL and (a+b)^2=a^2+2ab+b^2:

\displaystyle\\2x^2+25x+12=\frac{9}{4}x^2+18x+36

Move everything to one side to get a quadratic:

\displaystyle-\frac{1}{4}x^2+7x-24=0

Solving using the quadratic formula:

A quadratic in ax^2+bx+c has real solutions \displaystyle x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}. In \displaystyle-\frac{1}{4}x^2+7x-24, assign values:

\displaystyle \\a=-\frac{1}{4}\\b=7\\c=-24

Solving yields:

\displaystyle\\x=\frac{-7\pm \sqrt{7^2-4\left(-\frac{1}{4}\right)\left(-24\right)}}{2\left(-\frac{1}{4}\right)}\\\\x=\frac{-7\pm \sqrt{25}}{-\frac{1}{2}}\\\\\begin{cases}x=\frac{-7+5}{-0.5}=\frac{-2}{-0.5}=\boxed{4}\\x=\frac{-7-5}{-0.5}=\frac{-12}{-0.5}=24 \:(\text{Extraneous})\end{cases}

Only x=4 works when plugged in the original equation. Therefore, x=24 is extraneous and the only solution is \boxed{x=4}

4 0
2 years ago
Ivan has 6 times as many blue beads as red beads. he has 49 red and blue beads in all. how many blue beads does Ivan have
salantis [7]

Let

x--------> the number of blue beads

y--------> the number of red beads

we know that

x+y=49

x=49-y -------> equation 1

x=6y ------> equation 2

equate equation 1 and equation 2

49-y=6y\\ 6y+y=49\\ 7y=49\\\\ y=\frac{49}{7} \\  \\ y=7

find the value of x

x=6*7\\ x=42

therefore

the answer is

Ivan has 42 blue beads

3 0
3 years ago
Read 2 more answers
What is the remainder when f(x) = x^2 + 14x − 8 is divided by (x − 5)? 103 88 87 72
il63 [147K]

Answer:

<h2>The answer is 87</h2>

Step-by-step explanation:

f(x) = x² + 14x - 5

To find the reminder when f(x) is divided by x - 5 , substitute the value of x into the above formula

That's

x - 5 = 0

x = 5

So we have

f(5) = 5² + 14(5) - 8

f(5) = 25 + 70 - 8

f(5) = 95 - 8

We have the final answer as

<h3>87</h3>

Hope this helps you

7 0
3 years ago
Find the area of the composite figure below.
pashok25 [27]

Answer: D is the correct answer.

8 0
2 years ago
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