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4 years ago

Which graph shows the solution to the inequality -3x-7x<20

1 answer:

hjlf4 years ago

5 0

A graph of this inequality would be a number line, with the number -2 circled (not filled in), and the number line to the right of -2 shaded.

To solve this, you will combine like terms first:

-3x-7x < 20
-10x < 20

Divide both sides by -10:
-10x/-10 < 20/-10

When you divide an inequality by a negative number, you flip the inequality symbol:

x > -2

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I need help I will give you 10 points

KIM [24]

Answer:

k = - 2

Step-by-step explanation:

Lines g(x) and f(x) passes through the points (2, 0), (0, 2) & (4, 0), (0, 4)

Since both the lines are parallel, so slopes of lines g(x) and f(x) would be same.

Therefore,

Slope of line g = Slope of line f = (2-0)/(0 - 2) = 2/-2 = - 1

Equation of line g(x)

For point (0, 2)

y- intercept (b) = 2

y = mx + b

g(x) = - 1x + 2 [y = g(x)]

g(x) = - x + 2

Equation of line f(x)

For point (0, 4)

y- intercept (b) = 4

y = mx + b

f(x) = - 1x + 4 [y = g(x)]

f(x) = - x + 4

It is given that:

g(x) = f(x) + k

g(x) - f(x) = k

(-x + 2) - (-x + 4) = k

-x + 2 + x - 4 = k

2 - 4 = k

-2 = k

k = - 2

8 0

3 years ago

Fernando followed two diagonal paths, Paths 1 and 2, to get from his house, F, to a neighborhood corner store, C, as shown below

aleksandrvk [35]

Answer:

42 meters

Step-by-step explanation:

Given

See attachment for complete question

Required

Calculate distance FC

FC is calculated as:

$FC = Path\ 1 + Path\ 2$

Where

$Path\ 1 = FB$

$Path\ 2 = BC$

Considering $\triangle FEB$ , we have:

$FB^2 = FE^2 + BE^2$ --- Pythagoras theorem

Where

$FE = FD - BA$

$FE = 22m - 15m$

$FE = 7m$

and

$BE = CD - CA$

$BE = 32m - 8m$

$BE = 24m$

So:

$FB^2 = FE^2 + BE^2$

$FB^2 = 7^2 +24^2$

$FB^2 = 49 +576$

$FB^2 = 625$

Take square roots of both sides

$FB = 25$

So:

$Path\ 1 = 25$

Considering $\triangle BAC$ , we have:

$BC^2 = BA^2 + AC^2$ --- Pythagoras theorem

Where:

$BA = 15$ and $AC = 8$

So, we have:

$BC^2 = 15^2 + 8^2$

$BC^2 = 225 + 64$

$BC^2 = 289$

Take square roots of both sides

$BC = 17$

So;

$Path\ 2= 17$

Recall that:

$FC = Path\ 1 + Path\ 2$

$FC = 25 + 17$

$FC = 42$

6 0

3 years ago

Help maybe , please ??

vaieri [72.5K]

Step-by-step explanation:

x + 53 = 90

x = 37

answer is 37

5 0

4 years ago

Read 2 more answers

Ax+By=C in slope intercept form is..... ANSWER PLZ

antoniya [11.8K]

By=C-Ax= -Ax+C
By/B= -Ax/b+ C/B

So, y=-A/B x+C/B

8 0

3 years ago

Which shows the following expression after the negative exponents have been eliminated?

gregori [183]

Answer:

The correct answer option is $\frac {a ^ 3 b^4 } {a b^2}$ .

Step-by-step explanation:

We are given the following expression and we are to figure out which of the given answer options show the expression after the negative exponents have been eliminated:

$\frac {a^3 b^{-2}} {a b^{-4}}$

When negative exponent changes sign, then it moves from numerator to denominator or from denominator to numerator.

$\frac {a^3 b^4} {ab^2}$

7 0

3 years ago

Read 2 more answers