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3 years ago

Can someone help me

Mathematics

1 answer:

Alla [95]3 years ago

7 0

Answer:

the solution to: f(x)=g(x)

is X=4

Explanation:

f(x)=g(x) is X=4 because the curves of f(x) and g(x) intersect at a point which has the abscissa 4.

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PLSS HELP ME WITH THIS!! 20 POINTS!!

Andre45 [30]

Answer:

total price inluding tax is $43.20

Step-by-step explanation:

pants cost: $40

Tax amount: 8% of $40 -> 40 x 0.08 = $3.20

pants + tax:

$40 + $3.20 = $43.20

7 0

2 years ago

Read 2 more answers

Writing Equations of Parallel Lines

Nookie1986 [14]

Answer:

The slope of the parallel line to the given line is $-\frac{1}{4}$

The equation of the parallel line to the given line and passes through the given point is y + 4 = $-\frac{1}{4}$ (x + 2)

The y-intercept of the parallel line to the given line and passes through the given point is $-\frac{9}{2}$

Step-by-step explanation:

The rule of the slope of the line that passes through points (x1, y1) and (x2, y2) is m = $\frac{y2-y1}{x2-x1}$

The point-slope form of the linear equation is y - y1 = m(x - x1), where m is the slope and (x1, y1) is a point on the line

The slope-intercept form of the linear equation is y = m x + b, where m is the slope and b is the y-intercept

Parallel lines have the same slopes and different y-intercepts

In the given figure

∵ The given line passes through points (2, 6) and (-6, 8)

∴ x1 = 2 and y1 = 6

∴ x2 = -6 and y2 = 8

→ Substitute them in the rule of the slope above to find it

∵ m = $\frac{8-6}{-6-2}$ = $\frac{2}{-8}$ = $-\frac{1}{4}$

∴ The slope of the given line is $-\frac{1}{4}$

∵ Parallel lines have the same slopes

∴ The slope of the parallel line to the given line is $-\frac{1}{4}$

∵ The parallel line passes through the point (-2, -4)

∴ x1 = -2 and y1 = -4

∵ m = $-\frac{1}{4}$

→ Substitute them in the point-slope form above

∵ y - (-4) = $-\frac{1}{4}$ (x - (-2))

∴ y + 4 = $-\frac{1}{4}$ (x + 2)

∴ The equation of the parallel line to the given line and passes through

the given point is y + 4 = $-\frac{1}{4}$ (x + 2)

∵ m = $-\frac{1}{4}$

→ Substitute it in the slope-intercept form above

∴ y = $-\frac{1}{4}$ x + b

→ To find b substitute x by -2 and y by -4 (coordinates the given point)

∵ -4 = $-\frac{1}{4}$ (-2) + b

∴ -4 = $\frac{1}{2}$ + b

→ Subtract $\frac{1}{2}$ from both sides

∴ $-\frac{9}{2}$ = b

∵ b is the y-intercept

∴ The y-intercept of the parallel line to the given line and passes

through the given point is $-\frac{9}{2}$

8 0

3 years ago

Provide a Venn diagram and specify whether the following argument is valid or invalid:

riadik2000 [5.3K]

Answer:

Given argument is valid

Step-by-step explanation:

In venn diagram

M=Mammals

R=Reptiles

G=Gators

Given that

No mammals are reptiles ,So in the diagram we indicates by cross sign(x).Also given that some reptiles are gators ,so venn diagram of reptiles and gators will cross each other.

But from the above statement we can say that those gators are reptiles can not be mammals but those are not reptiles they can be mammals.Hence some gators are not mammals.

So given argument is valid