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densk [106]
2 years ago
8

.............................

Mathematics
2 answers:
konstantin123 [22]2 years ago
7 0

{ \qquad\qquad\huge\underline{{\sf Answer}}}

Here we go ~

\qquad \sf  \dashrightarrow \:  \cfrac{9 {}^{(x + 1)}  - 3 {}^{2x} }{4 \times 3 {}^{(2x - 1)} }

\qquad \sf  \dashrightarrow \:  \cfrac{3{}^{2(x + 1)}  - 3 {}^{2x} }{4 \times 3 {}^{(2x - 1)} }

\qquad \sf  \dashrightarrow \:  \cfrac{3{}^{(2x + 2)}  - 3 {}^{2x} }{4 \times 3 {}^{(2x - 1)} }

here :

  • { \sf {3}^{(2x+2)}=({3}^{2x - 1})\sdot (3³)}

  • { \sf {3}^{(2x)}=({3}^{(2x - 1)})\sdot (3¹)}

\qquad \sf  \dashrightarrow \:  \cfrac{3{}^{(2x  - 1)}(3 {}^{3}   - 3 {}^{1}) }{4 \times 3 {}^{(2x - 1)} }

[ taking { \sf {3}^{(2x - 1)} }common here ]

\qquad \sf  \dashrightarrow \:  \cfrac{27 {}^{}   - 3 {}^{}}{4  }

\qquad \sf  \dashrightarrow \:  \cfrac{24{}^{}   {}^{}}{4  }

\qquad \sf  \dashrightarrow \: 6

kobusy [5.1K]2 years ago
3 0

Answer is 6 ................

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Write in slope intercept form an equation of the line that passes through (-2,5),(-1,1)
Juliette [100K]

Answer:

y=-4x-3

Step-by-step explanation:

Hi there!

We are given the following two points: (-2,5) and (-1,1)

We want to write the equation of the line that passes through these two lines in slope-intercept form

Slope-intercept form is given as y=mx+b, where m is the slope and b is the y intercept

First, let's find the slope

The formula for the slope (m) calculated from 2 points is \frac{y_2-y_1}{x_2-x_1}, where (x_1, y_1) and (x_2, y_2) are points

We have everything we need to calculate the slope, but let's label the value of the points to avoid any confusion

x_1=-2\\y_1=5\\x_2=-1\\y_2=1

Now substitute into the formula

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

m=\frac{1-5}{-1--2}
Simplify

m=\frac{1-5}{-1+2}

Subtract

m=\frac{-4}{1}

Divide

m=-4

Now substitute -4 as m into the equation:

y=-4x+b

Now we need to find b

As the equation passes through both (-2, 5) and (-1, 1), we can use either point to help solve for b.

Taking (-2,5) for example:

Substitute -2 as x and 5 as y:

5=-4(-2)+b

Multiply

5=8+b

Subtract 8 from both sides

-3=b

Substitute -3 as b.

y=-4x-3

Hope this helps!

See more on this topic here: brainly.com/question/27304092

4 0
2 years ago
PLZ HELP ME!!!!!
gayaneshka [121]

Answer:

1. (0, 1)


Step-by-step explanation:

Put x = 0 then work out the values of y:0

y = 3^0 = 1  y-intercept is (0,1)

y = 0,25^x , y = 0.25^0 = 1

All the others are done in same way



4 0
4 years ago
On Monday jack could lift 25lbs
kirill [66]

Answer:

he can still lift 25 or more

3 0
3 years ago
18. Ms. Acosta works in the lab at a pharmaceutical company. She needs to make 21 liters of a 32% acid solution to
defon

Answer:

vbighughyuogytifvyigguhui

Step-by-step explanation:

3 0
3 years ago
HELP ME PLEASE!!!!!
katen-ka-za [31]

Answer: d≤69

Step-by-step explanation:

You would plug in all the values for d into the inequality

40(81) + 240 ≤ 3000

40(81) + 240 = 3000

3240+240=3000

3480=3000 false

40(75) + 240 ≤ 3000

40(75) + 240 = 3000

3000+240=3000

3240=3000 false

40(69) + 240 ≤ 3000

40(69) + 240 = 3000

2760+240=3000

3000=3000 true

You don't need to try the last one because you already found this one!

6 0
2 years ago
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