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Bas_tet [7]
2 years ago
11

Which equation is equivalent to log Subscript 3 Baseline (x 5) = 2?.

Mathematics
1 answer:
grin007 [14]2 years ago
4 0

The equivalent equation is x - 4 = 0.

<h2>Linear system</h2>

It is a system of an equation in which the highest power of the variable is always 1. A one-dimension figure that has no width. It is a combination of infinite points side by side.

<h3>Simplification</h3>

Simplification is to make something easier to do or understand and to make something less complicated.

Given

The expression is \rm log_3(x + 5) = 2.

<h3>To find </h3>

The equivalent equation.

<h3>How to find the equivalent equation.</h3>

The expression is \rm log_3(x + 5) = 2.

On simplifying. we get

\begin{aligned} \rm log_3(x + 5) &= 2\\x + 5 &= 3^2\\x + 5 &= 9 \\x  &= 9 - 5\\x &= 4\\x - 4 &= 0\\\end{aligned}

The equivalent equation is x - 4 = 0.

More about the linear system link is given below.

brainly.com/question/20379472

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Simultaneous equations <br> 3x + y = 8<br> x - 3y = 11
balandron [24]

Answer:

y = -5/2

Step-by-step explanation:

hope this helps believe it is the right answer :D

4 0
3 years ago
Bonita is testing prototype model rocket engines. To be considered a successful launch, the rocket must reach a height of at lea
lbvjy [14]

Answer:

(0, 33)   : Yes

(4.8,  30.5)  : Yes


Step-by-step explanation:

height of at least 24 ft :  y >= 24

horizontal distance of no more than 10 ft. : 0 <= x <= 10

The vertical height must be at least three times as high as the horizontal distance. No rocket should go higher than 33 ft.:

y >=  3x and y <= 33

So Constraints:

24 <= y <= 33

y >= 3x

0 <= x <= 10

Now check to see if those coordinate points meet all the constraints

(0, 33)   : Yes

(4.8, 30.5)  : Yes

(9, 26)  : No (because 26 is less than (3 * 9) = 27)

(4, 36) : No (because 36 > 33,  must be 24 <= y <= 33)

(2, 22): No (because 22 <24,  must be 24 <= y <= 33)

5 0
3 years ago
how do you write the equation of a line in slope-intercept form when given two points on the line? the two points are (-4,4) and
Feliz [49]
Y=7x+ 32 you find slope and y intercept
6 0
3 years ago
Solve the system:<br> 2.5(x−3y)−3=−3x+0.5 3(x+6y)+4=9y+19
Aleksandr-060686 [28]

Answer:

The value of x and y that satisfy the equations is x = 2 and y = 1

Step-by-step explanation:

Given

2.5(x−3y)−3=−3x+0.5

3(x+6y)+4=9y+19

Required.

Find x and y

We start by opening all brackets

2.5(x−3y)−3=−3x+0.5 becomes

2.5x - 7.5y - 3 = -3x + 0.5

Collect like terms

2.5x + 3x - 7.5y = 3 + 0.5

5.5x - 7.5y = 3.5 ---- Equation 1

In similar vein, 3(x+6y)+4=9y+19 becomes

3x + 18y + 4 = 9y + 19

Collect like terms

3x + 18y - 9y = 19 - 4

3x + 9y = 15

Multiply through by ⅓

⅓ * 3x + ⅓ * 9y = ⅓ * 15

x + 3y = 5

Make x the subject of formula

x = 5 - 3y

Substitute 5 - 3y for x in equation 1

5.5(5 - 3y) - 7.5y = 3.5

27.5 - 16.5y - 7.5y = 3.5

27.5 - 24y = 3.5

Collect like terms

-24y = 3.5 - 27.5

-24y = -24

Divide through by - 24

y = 1

Recall that x = 5 - 3y.

Substitute 1 for y in this equation

x = 5 - 3(1)

x = 5 - 3

x = 2

Hence, x = 2 and y = 1

3 0
3 years ago
Please Help? The volume of a cylinder is 176pi cm.square and its height is 11cm. What is the length of the cylinder radius?
timofeeve [1]

Answer:

15


Step-by-step explanation:


4 0
4 years ago
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