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3 years ago

Which graph represents the function f(x) = |x| - 4?

Mathematics

1 answer:

Rasek [7]3 years ago

4 0

Answer:

Neither of the graphs represent f(x)= |x|-4

Step-by-step explanation:

when solving for 0

|0| = 0

0 - 4

= -4

the coordinate at 0 would be (0,-4)

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in 2 h, kelly laid new floor tile over 1/5 of the room. when she was joined by annette, the rest of the work was completed in 3h

jeyben [28]

Answer: Annette will take 6 hours to do the entire job alone.

Step-by-step explanation:

Given: Time taken by Kelly to do $\dfrac{1}{5}$ of job = 2 hours

i.e. Time for complete job done alone by Kelly = $5\times2=10\ hours$

Rest of work = $1-\dfrac{1}{5}=\dfrac{4}{5}$ of the job

$\dfrac{4}{5}$ of the complete job done by both Kelly and Annette in 3 hours

Time would be taken by then to do entire job together = $3\times\dfrac{5}{4}=3.75\ hours$

Let t be the time taken by Annette to do job alone.

Then, as per situation

$\dfrac{1}{3.75}=\dfrac{1}{10}+\dfrac{1}{t}\\\\\Rightarrow\ \dfrac{1}{t}=\dfrac{1}{3.75}-\dfrac{1}{10}\\\\\Rightarrow\ \dfrac{1}{t}=\dfrac{4}{15}-\dfrac{1}{10}\\\\\Rightarrow\ \dfrac{1}{t}=\dfrac{1}{6}\\\\\Rightarrow\ t=6$

hence, Annette will take 6 hours to do the entire job alone.

7 0

4 years ago

A 32 foot ladder is placed on the ground 10 ft from the base of a house. How far up the house will the ladder reach?

umka2103 [35]

Answer:

22 feet

Step-by-step explanation:

7 0

3 years ago

The length of the rectangle is x cm. The length of a diagonal of the rectangle is 8 crn. The perimeter of the rectangle is 20 cm

klemol [59]

Answer:

$x^2-10x+18=0$

a = -10 and b = 18.

Step-by-step explanation:

Let w represent the width of the rectangle.

We are given that the perimeter of the rectangle is 20 cm, this means that:

$20=2(x + w)$

Let's put w in terms of x. Divide both sides by two:

$10=x+w$

And solve for w:

$w=10-x$

So, the rectangle measures x by (10 - x) cm.

According to the Pythagorean Theorem:

$a^2+b^2=c^2$

a and b are the legs and c is the hypotenuse.

Substitute x for a, w for b, and 8 for c:

$x^2+w^2=8^2$

Simplify and substitute:

$x^2+(10-x)^2=64$

Square:

$x^2+(100-20x+x^2)=64$

Isolate the equation. So:

$2x^2-20x+36=0$

Since the leading coefficient is one, divide both sides by two:

$x^2-10x+18=0$

Therefore, a = -10 and b = 18.

6 0

3 years ago

While shopping at a clearance sale, Samantha finds a $60.00 dress on sale for 25% off. Samantha also has a 50% off coupon. Which

liq [111]

It seems most likely that ...

... Samantha will save $37.50 because she must first find the 25% sale price before taking the extra 50% reduction

_____

In the real world, it seems probable that Samantha will be offered the choice of using the coupon or the sale discount. If she chooses tht 50% coupon, her savings will be $30. If she chooses the marked sale discount, her savings will be $15.

The scenario above assumes she gets 50% off the sale price of $45, so saves $15+22.50 = $37.50 off the original price.

6 0

3 years ago

Read 2 more answers

Please help if you think you hot beautiful kind funny cool please help me please

Juli2301 [7.4K]

Answer/Step-by-step explanation:

The equation of the line that passes through the two points would be correct if each point, when substituted into the equation, satisfy the equation.

This is what I mean:

Given the equation of the line, y = 2x - 5, and the two points (-2, -9) and (3, 1):

For the first point, substitute x = -2, and y = -9 into y = 2x - 5.

Thus:

-9 = 2(-2) - 5

-9 = -4 - 5

-9 = -9 (this is true). It means the line runs through the point (-2, -9)

For the second point, substitute x = 3, and y = 1 into y = 2x - 5

This:

1 = 2(3) - 5

1 = 6 - 5

1 = 1 (this is true). This also means the point, (3, 1) is also a point that the equation runs across.

7 0

3 years ago