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Marianna [84]
3 years ago
8

1.9h - 1.6 please help

Mathematics
2 answers:
Kruka [31]3 years ago
6 0
.3h I took the test I made a good grade
Jet001 [13]3 years ago
3 0

Answer:

0.3h

Step-by-step explanation:

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(4) 8(-b - 4)<br> Help me I have no clue what I’m doing and how to do this
wel

Answer:

b= -32b+32

Step-by-step explanation:

You multiply the 8(-b-4) then multiply the b by 4

7 0
3 years ago
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
78000 rounded to the nearest ten thousand
GenaCL600 [577]
78,000 rounded to the nearest ten thousand is 80,000.
8 0
3 years ago
Help! Select all of the potential solution(s) of the equation 2log5x = log54.
Nastasia [14]

Answer:

  • x = 2

Step-by-step explanation:

  • 2 log₅ x = log₅ 4
  • 2 log₅ x = log₅ 2²
  • 2 log₅ x = 2 log₅ 2
  • log₅ x = log₅ 2
  • x = 2
7 0
3 years ago
1/3into a percent and a decimal
jeka57 [31]

Answer:

33% or .33

Step-by-step explanation:

Divide 1/3 = .3333 (repeating). I would round to the nearest hundreths place:

1/3 = .33

For the precentage, multiple 0.33 by 100:

100 * 0.33 = 33%

3 0
3 years ago
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