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3 years ago

Find the difference: 1-0.43081

Mathematics

1 answer:

PtichkaEL [24]3 years ago

8 0

Answer:

.56919

Step-by-step explanation:

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What are the solutions of x^2 = -7x-8

Vilka [71]

$Solution, solve\:for\:x,\:x^2=-7x-8\quad :\quad x=\frac{-7+\sqrt{17}}{2},\:x=\frac{-7-\sqrt{17}}{2}$

$Steps:$

$x^2=-7x-8$

$\mathrm{Add\:}8\mathrm{\:to\:both\:sides},\\x^2+8=-7x-8+8$

$\mathrm{Simplify},\\x^2+8=-7x$

$\mathrm{Add\:}7x\mathrm{\:to\:both\:sides},\\x^2+8+7x=-7x+7x$

$\mathrm{Simplify},\\x^2+7x+8=0$

$Solve\:with\:the\:quadratic\:formula,\\\mathrm{For\:}\quad a=1,\:b=7,\:c=8:\quad x_{1,\:2}=\frac{-7\pm \sqrt{7^2-4\cdot \:1\cdot \:8}}{2\cdot \:1},\\x=\frac{-7+\sqrt{7^2-4\cdot \:1\cdot \:8}}{2\cdot \:1}:\quad \frac{-7+\sqrt{17}}{2},\\x=\frac{-7-\sqrt{7^2-4\cdot \:1\cdot \:8}}{2\cdot \:1}:\quad \frac{-7-\sqrt{17}}{2}$

$\mathrm{The\:final\:solutions\:to\:the\:quadratic\:equation\:are:},\\x=\frac{-7+\sqrt{17}}{2},\:x=\frac{-7-\sqrt{17}}{2}$

$\mathrm{Hope\:This\:Helps!!!}$

$\mathrm{-Austint1414}$

7 0

4 years ago

80 members decreased by 40%

aleksklad [387]

The answer would be 48 because....

First, you would multiply 80 and .40 (changed the percentage to decimal) which is 32

Then, subtract 80 and 32 to get 48

6 0

3 years ago

Louis has 45 pencils and 75 pens to divide into gift bags at the fair. He does not want to mix the pens and pencils. He wants to

Rudiy27

15 pens and pencils

7 0

3 years ago

Find the sum of the first 6 terms of the sequence: –3, 1, 5, 9, . . .A) 45B) 42C) 48D) 25

Leni [432]

SOLUTION

From the sequence give

–3, 1, 5, 9, . . .

The first term, a = -3

The common difference, d = 4 (gotten by adding 4 to the next term).

The number of terms required n = 6.

Formula for sum of an arithmetic sequence is given by

$S_n=\frac{n}{2}\lbrack2a+(n-1)d\rbrack$

Substituting these values into the equation above we have

$\begin{gathered} S_n=\frac{n}{2}\lbrack2a+(n-1)d\rbrack \\ S_6=\frac{6}{2}\lbrack2\times-3+(6-1)4\rbrack \\ S_6=3\lbrack-6+(5)4\rbrack \\ S_6=3\lbrack-6+20\rbrack \\ S_6=3\lbrack14\rbrack \\ S_6=42 \end{gathered}$

Hence, the answer is 42, option B

3 0

1 year ago

The relationship between two numbers is described below, where x represents the first number and y represents the second number.

sineoko [7]

Answer:

i) x^2=y+5

ii) 2x-6y=10

Step-by-step explanation:

x represents the first number and

y represents the second number

Relationship is given as

i) The square of the first number is equal to the sum of the second number and 5

x^2=y+5

ii) The difference of twice the first number and 6 times the second number is 10.

2x-6y=10

5 0

3 years ago