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riadik2000 [5.3K]
3 years ago
12

Solve each inequity -9<2x-3

Mathematics
1 answer:
Andreas93 [3]3 years ago
4 0

Answer:

x=-3

Step-by-step explanation:

-9<2x-3 is the same as:

-9=2x-3

add three to both sides

-6=2x

Dived 2 from both sides

-3=x

Hope this helps!

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7 0
3 years ago
Find the equation of the straight line passing through the point (3,5) which is perpendicular to the line y=3x+2
Levart [38]

Answer:

the desired equation is y = (-1/3)x + 6

Step-by-step explanation:

Let the given line be A:  y=3x+2

The slope of line A is m = 3.

The slope of any line B which is perpendicular to line A is the negative reciprocal of the slope of A:  m = -(1/3).

The particular perpendicular line that passes through (3, 5) is then

5 = (-1/3)(3) + b, which simplifies to 5 = -1 + b, or b = 6.

Thus, the desired equation is y = (-1/3)x + 6

7 0
2 years ago
Evaluate the expression:
FinnZ [79.3K]

Answer:

vw= 22

Step-by-step explanation:

To find the dot product of vw, multiply the corresponding numbers and add them.

v= <3, -8, -3> w= <-4, -2, -6>

vw= (3*-4)+(-8*-2)+(-3*-6)

vw= -12+16+18

vw= 4+18

vw= 22

6 0
3 years ago
What is the volume of the rectangular prism? Round your answer to the nearest Hundredth place if necessary.
pochemuha

Answer:

V = l×w×h units³

Step-by-step explanation:

The volume of a rectangular prism is V = l×w×h

6 0
3 years ago
Ada, Betty, Chris and David have $45 in total Ada gota 52 fromBetty, Chris tripleshis money and Davids money is cut by hall four
andrezito [222]

Using a system of equations, it is found that initially Ada has $0.385.

For the system, we have that the variables are:

  • x is Ada's amount.
  • y is Betty's amount.
  • z is Chris's amount.
  • w is David's amount.

$45 total, hence:

x + y + z + w = 45

Ada <u>gets 2 from Betty</u>, hence:

x + 2 = y - 2

x = y - 4

y = x + 4

<u>Chris triples</u> his money and <u>David's</u> money is <u>cut by half</u> four of them have the same amount, hence:

x + 4 = y = 3z = \frac{w}{2}

Then:

3z = x + 4

z = \frac{x + 4}{3}

x + 4 = \frac{w}{2}

w = 2x + 8

Solving for w, we find Ada's initial amount.

x + y + z + w = 45

x + x + 4 + \frac{x + 4}{3} + 2x + 8 = 45

4x + 12 + \frac{x + 4}{3} = 45

12x + 36 + x + 4 = 45

13x = 5

x = \frac{5}{13}

x = 0.385

Initially, Ada has $0.385.

A similar problem is given at brainly.com/question/6120515

5 0
2 years ago
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