MATHEMATICS HIGH SCHOOL

(2Q) Simply the expression.

Answers

Answer 1

Answer:

ANSWER

$(1)/(7)$

EXPLANATION

We want to simplify

${10}^{ log( (1)/(7) ) }$

Recall that the common logarithm has a base of 10.

This implies that,

${10}^{ log( (1)/(7) ) } = {10}^{ log_(10)( (1)/(7) ) }$

Recall again that:

${p}^{ log_(p)(q) } = q$

Therefore,

${10}^{ log( (1)/(7) ) } = {10}^{ log_(10)( (1)/(7) ) } = (1)/(7)$

Answer 2

Answer:

Answer:

no simplify. answer is:

b. log(1/7)

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Find the midpoint of AB
if A( -3, 8 ) and B( -7, -6 ).

Answers

Answer:

(-5,1)

Step-by-step explanation:

x = (-3+(-7)/2 = -10/2 = -5

y = (8 +(-6)/2 = 2/2 = 1

Dude can you help me out

Answers

The first box is 182 degrees (the same as the congruent angle diagonal from it).
The second box (the one on the bottom) is 48 degrees.

top: 132º

bottom: 48º

The degrees across a line is a total of 180º.

To get the two missing degrees, subtract both of the known degrees from 180.

180-48=132

180-132=48

So, the top missing angle would be 132º and the bottom missing angle would be 48º.

The other way to do this would be that since we know that its a traversal inside a pair of parallel lines, we know that 48+132=180 so, the missing angles would be 48 & 132, 132 & 48.

Hope that makes sense.

Let me know if you need anything else! :)

Someone please help me . )):

Answers

got a calculator? all you do for #1 and #2 is multiply the two numbers and that is the value for x.
These problems are cross multiplication.
For the next two:
.25x = 6
divide both sides by .25
x = 24
NEXT ONE:
.49x = 12
divide both sides by .49
x = 24.48

Text me 810-620-2621 that's what I'm working on right now too

The average (A) of two number,M and N, is given by the formula A=m+n/2. Find the average of the two numbers 36 and 72.

Answers

54 is the average of the two numbers 36 and 72.

What is Statistics?

Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.

We need to find the average of the two numbers 36 and 72.

The average (A) of two number, M and N, is given by the formula A=m+n/2

Let m = 36

n=72

Now to find the average of two numbers we have to plug in these values in the formula

A=36+72/2

=108/2

=54

Hence, 54 is the average of the two numbers 36 and 72.

To learn more on Statistics click:

brainly.com/question/29093686

#SPJ2

Answer: 54

Step-by-step explanation:

Average = Total/ total number

Average= 36 +72/2

= 108/2

= 54

Jason built a rectangular tool shed that is 8 meters wide and has an area of 96 square meters. What is the length of Jason’s tool shed?

Answers

96/8=12 so the answer is 12m

Which inequality has no solution?6(x+2)> x-3

3+4x<2(1+2x)

-2(x+6)< x-20

x-9 < 3 (x-3)

Answers

we will proceed to solve all cases to determine the solution of the problem

case A) $6(x+2)> x-3$

Eliminate the parenthesis of the left side

$6x+12> x-3$

Group terms that contain the same variable, and move the constants to the opposite side of the inequality

$6x-x> -3-12$

Combine like terms

$5x> -15$

$x> -3$

The solution is the interval--------> (-3,∞)

All real numbers greater than $-3$

therefore

The inequality A has solution

case B) $3+4x <2(1+2x)$

Eliminate the parenthesis of the right side

$3+4x <2+4x$

Group terms that contain the same variable, and move the constants to the opposite side of the inequality

$4x-4x <2-3$

Combine like terms

$0 <-1$ ---------> is not true

therefore

The inequality B has no solution

case C) $-2(x+6)< x-20$

Eliminate the parenthesis of the left side

$-2x-12< x-20$

Group terms that contain the same variable, and move the constants to the opposite side of the inequality

$-2x-x< -20+12$

Combine like terms

$-3x< -8$

Multiply by $-1$ both sides

$3x> 8$

$x> (8/3)$

The solution is the interval--------> (8/3,∞)

All real numbers greater than $8/3$

therefore

The inequality C has solution

case D) $x-9<3(x-3)$

Eliminate the parenthesis of the right side

$x-9<3x-9$

Group terms that contain the same variable, and move the constants to the opposite side of the inequality

$x-3x< -9+9$

Combine like terms

$-2x< 0$

Multiply by $-1$ both sides

$2x> 0$

$x>0$

The solution is the interval--------> (0,∞)

All real numbers greater than $0$

therefore

The inequality D has solution

therefore

the answer is

$3+4x <2(1+2x)$

$\boxed{3 + 4x < 2\left( {1 + 2x} \right)}$ inequality has no solution. Option (b) is correct.

Further explanation:

The linear equation with slope m and intercept c is given as follows.

$\boxed{y = mx + c}$

The formula for slope of line with points $\left( {{x_1},{y_1}} \right)$ and $\left( {{x_2},{y_2}} \right)$ can be expressed as,

$\boxed{m = \frac{{{y_2} - {y_1}}}{{{x_2} - {x_1}}}}$

Given:

The inequalities are as follows,

(a). $6\left( {x + 2} \right) > x - 3$

(b). $3 + 4x < 2\left( {1 + 2x} \right)$

(c). $- 2\left( {x + 6} \right) < x - 20$

(d). $x - 9 < 3\left( {x - 3} \right)$

Explanation:

Solve the inequality $6\left( {x + 2} \right) > x - 3$ to check whether the inequality has solution.

$\begin{aligned}6\left( {x + 2} \right) >& x - 3\n6x + 12 >& x - 3\n6x - x >& - 3 - 12\n 5x >&- 15\nx >& \frac{{ - 15}}{5}\nx >&- 3\n\end{aligned}$

Option (a) has solution.

Solve the inequality $3 + 4x < 2\left( {1 + 2x} \right)$ to check whether the inequality has solution.

$\begin{aligned}3+ 4x &< 2\left( {1 + 2x} \right)\n3 + 4x &< 2 + 4x\n3&< 2\n\end{aligned}$

Option (b) has no solution.

Solve the inequality $- 2\left( {x + 6} \right) < x - 20$ to check whether the inequality has solution.

$\begin{aligned}- 2\left( {x + 6}\right) &< x - 20\n- 2x - 12 &< x - 20\n- 12 + 20 &< x + 2x\n8&< 3x\n(8)/(3) &< x\n\end{aligned}$

Option (c) has solution.

Solve the inequality $x - 9 < 3\left( {x - 3} \right)$ to check whether the inequality has solution.

$\begin{aligned}x - 9&< 3\left( {x - 3} \right)\nx - 9&< 3x - 9\nx&< 3x \n1&< 3\n\end{aligned}$

Option (d) has solution.

$\boxed{3 + 4x < 2\left( {1 + 2x} \right)}$ inequality has no solution. Option (b) is correct.

Learn more:

Learn more about inverse of the functionbrainly.com/question/1632445.
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Answer details:

Grade: High School

Subject: Mathematics

Chapter: Linear equation

Keywords: numbers,slope, slope intercept, inequality, equation, linear inequality, shaded region, y-intercept, graph, representation, origin.

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