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2 years ago

8

Simplify the expression. (8x + 14) + (9x - 5)

1 answer:

zepelin [54]2 years ago

5 0

Use the associative property that says
a+(b+c)=(a+b)+c
and the commutative property that says
a+b=b+a
use together and get
(8x+14)+(9x-5)=8x+9x+14-5
add like terms
8+9=17
therefor
17x+14-5
14-5=9
17x+9 is the simpliefid form

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Rewrite the logarithm as a ratio of common logarithms and natural logarithms. log4 45

tiny-mole [99]

Answer:

Common logarithm

$log_451= \frac{log_1_045}{log_1_08}$

Natural logarithms

$log_445= \frac{log_e45}{log_e4}$

or

$log_445= \frac{In45}{In4}$

Step-by-step explanation:

From the question we are told that

$Log_445$

Generally converting log from base x to base 10 si mathematically represented as

$log_xa=log_1_0a *log_x10$

$log_xa= \frac{log_1_0a}{log_1_0x}$

Therefore

Common logarithm

$log_451= \frac{log_1_045}{log_1_08}$

Generally Natural logarithms $log_ex\ or\ inx$ is mathematically represented as

$log_xa= \frac{log_ea}{log_ex}$

Therefore

Natural logarithms

$log_445= \frac{log_e45}{log_e4}$

or

$log_445= \frac{In45}{In4}$

6 0

2 years ago

What is the surface area?

dlinn [17]

Answer:

6,656 square meters

Step-by-step explanation:

Surface area of triangular pyramid = bh + L(S1 + S2 + S3)

Where,

b = 48 m

h = 32 m

L = 40 m

S1 = 40 m

S2 = 40 m

S3 = 48 m

Plug in the values

Surface area = 48*32 + 40(40 + 40 + 48)

= 1,536 + 5,120

= 6,656 m²

4 0

2 years ago

Find the value of x in each case.

velikii [3]

Answer:

x=11

Step-by-step explanation:

Due to angles DCA and CAB being Alternate Interior Angles, we know that they will be equal. This means that

$DCA=33$ °

Next, we can find the measure of the angle DCE.

Angles BCE and BCA are supplementary. This means that they will add together to be 180°

This means that 180-BCE=BCA

Which means $BCA=180-5x$

As all of the angles in a triangle must add together to be 180 degrees, we can set up the following equation

$33+180-5x+2x=180\\213-3x=180\\3x=33\\x=11$

3 0

3 years ago

Read 2 more answers

Random groups of 30 teachers were asked the starting annual salary for their

Ilya [14]

Answer:

B

Step-by-step explanation:

please mark as brainlist answer

5 0

3 years ago

Read 2 more answers

Help please<3 for all questions with solutions plz

antiseptic1488 [7]

Answer:

a) $h = -\frac{7}{4}$ , b) $h = f\,\circ\,g (-5) = \frac{3}{2}$ , c) $h = g\,\circ\,f (-2) = \frac{3}{8}$

Step-by-step explanation:

We proceed to solve each exercise below:

a) $f(-2) +3\cdot g(0)$

$h = \frac{2\cdot (-2)}{3\cdot (-2)+5}+3\cdot \left(\frac{3}{0+4} \right)$

$h = \frac{-4}{-6+5} +3\cdot \left(\frac{3}{4} \right)$

$h = -4+\frac{9}{4}$

$h = \frac{-16+9}{4}$

$h = -\frac{7}{4}$

b) $h = f\,\circ \,g (-5)$

$h = f\,\circ\,g (x) = \frac{\frac{6}{x+4} }{\frac{9}{x+4}+5 }$

$h = f\,\circ\,g (x)= \frac{\frac{6}{x+4} }{\frac{9+5\cdot (x+4)}{x+4} }$

$h = f\,\circ\,g (x) = \frac{6}{29+5\cdot x}$

$h = f\,\circ\,g (-5) = \frac{6}{29+5\cdot (-5)}$

$h = f\,\circ\,g (-5) = \frac{3}{2}$

c) $h = g\,\circ\,f(-2)$

$h = g\,\circ \, f (x) = \frac{3}{\frac{2\cdot x}{3\cdot x + 5} + 4 }$

$h = g\,\circ\,f (x) = \frac{3}{\frac{2\cdot x +4\cdot (3\cdot x +5)}{3\cdot x +5 } }$

$h = g\,\circ \,f (x) = \frac{3\cdot (3\cdot x +5)}{2\cdot x +12\cdot x +20}$

$h = g\,\circ\,f(x) = \frac{9\cdot x +15}{14\cdot x +20}$

$h = g\,\circ\,f(-2) = \frac{9\cdot (-2)+15}{14\cdot (-2)+20}$

$h = g\,\circ\,f (-2) = \frac{-3}{-8}$

$h = g\,\circ\,f (-2) = \frac{3}{8}$

6 0

2 years ago