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3 years ago

2x-7=-3x9 what value of x would make this equation true

Mathematics

2 answers:

Svetradugi [14.3K]3 years ago

4 0

Answer: x = -10

Step-by-step explanation:

lianna [129]3 years ago

3 0

Answer:

Step-by-step explanation:

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Complete the steps to evaluate the following expression, given log3a = −0.631.

Zielflug [23.3K]

$\log _{3}(3)=1$ and $\log _{3} \frac{a}{3}=-1.631$

Solution:

Given value $\log _{3} a=-0.631$ .

To evaluate the expression $\log _{3} \frac{a}{3}$ .

Using logarithmic rule: $\log _{b}\left(\frac{M}{N}\right)=\log _{b}(M)-\log _{b}(N)$

$$\log _{3} \frac{a}{3}=\log _{3}(a)-\log _{3}(3)$

We know that $\log _{3} a=-0.631$ .

$$\log _{3} \frac{a}{3}=-0.631-\log _{3}(3)$

Using another logarithmic rule: $\log _{b} b=1$

$$\log _{3} \frac{a}{3}=-0.631-1$

$$\log _{3} \frac{a}{3}=-1.631$

Hence $\log _{3}(3)=1$ and $\log _{3} \frac{a}{3}=-1.631$ .

6 0

2 years ago

Read 2 more answers

(01.02 LC) There are (36)2.30 candies in a store. What is the total number of candies in the store? (5 points)

EleoNora [17]

Answer:

82.8

Step-by-step explanation:

i think this is correct dont get mad if im wrong but im 80% sure im right

6 0

2 years ago

F(x)= (x+1)/2

xeze [42]

9514 1404 393

Answer:

g(f(x)) = x . . . so the functions are inverses

Step-by-step explanation:

Two functions f and g are inverses of each other if ...

g(f(x)) = x or f(g(x)) = x

We are asked to evaluate g(f(x)). That will be x if the functions are inverses.

g(f(x)) = g((x+1)/2) = 2((x +1)/2) -1 = (x +1) -1

g(f(x)) = x . . . . the functions are inverses

4 0

2 years ago

Which triangle always has only two sides the same length and one angle that measures 90°? A. acute scalene B. right isosceles C.

Otrada [13]

Right isosceles, which has two sides the same length and one angle that measures 90 degrees.

5 0

3 years ago

Write an equation in slope intercept form for the line that passes through (-1, -2) and (3, 4)

LenaWriter [7]

Answer:

The slope-intercept form of the line equation is:

$y=\:\frac{3}{2}x\:-\frac{1}{2}$

Step-by-step explanation:

The slope-intercept form of the line equation

y = mx+b

where

m is the slope

b is the y-intercept

Given the points

(-1, -2)

(3, 4)

Determining the slope between (-1, -2) and (3, 4)

$\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}$

$\left(x_1,\:y_1\right)=\left(-1,\:-2\right),\:\left(x_2,\:y_2\right)=\left(3,\:4\right)$

$m=\frac{4-\left(-2\right)}{3-\left(-1\right)}$

$m=\frac{3}{2}$

Thus, the slope of the line is:

m = 3/2

substituting m = 3/2 and the point (3, 4) in the slope-intercept form of the line equation

y = mx+b

$4=\frac{3}{2}\left(3\right)+b$

switch sides

$\frac{3}{2}\left(3\right)+b=4$

$\frac{9}{2}+b=4$

subtract 9/2 from both sides

$\frac{9}{2}+b-\frac{9}{2}=4-\frac{9}{2}$

$b=-\frac{1}{2}$

now substituting m = 3/2 and b = -1/2 in the slope-intercept form of the line equation

$y = mx+b$

$y=\:\frac{3}{2}x\:+\:\left(-\frac{1}{2}\right)$

$y=\:\frac{3}{2}x\:-\frac{1}{2}$

Therefore, the slope-intercept form of the line equation is:

$y=\:\frac{3}{2}x\:-\frac{1}{2}$

8 0

2 years ago