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2 years ago

Graph f(x) = |x - 6| -4

Mathematics

1 answer:

LekaFEV [45]2 years ago

4 0

Answer:

Step-by-step explanation:

Graph the parent function y = |x|. This graph has a v shape with vertex at (0, 0) and opens up.

Now translate the entire graph 6 units to the right. The vertex will now be at (6, 0).

Finally, translate this most recent graph 4 units down. The vertex will now be at (6, -4).

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-3m + 5>26<br> How to work

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-3m>21

m>21/(-3)

m<-7=>m∈(-∞, -7)

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3 years ago

Simplify. write the answer as a fraction. -21/51

Jlenok [28]

Answer:

i think the answer is -7/17

Step-by-step explanation:

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3 years ago

What is the area of a triangle when the sides are 17, 8 and 9

sleet_krkn [62]

Answer:

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Step-by-step explanation:

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3 years ago

An explosion causes debris to rise vertically with an initial speed of 120 feet per second. The formula h equals negative 16 t s

Novay_Z [31]

Answer:

The debris will be at a height of 56 ft when time is <u>0.5 s and 7 s.</u>

Step-by-step explanation:

Given:

Initial speed of debris is, $s=120\ ft/s$

The height 'h' of the debris above the ground is given as:

$h(t)=-16t^2+120t$

As per question, $h(t)=56\ ft$ . Therefore,

$56=-16t^2+120t$

Rewriting the above equation into a standard quadratic equation and solving for 't', we get:

$-16t^2+120t-56=0\\\textrm{Dividing by -8 throughout, we get}\\\frac{-16}{-8}t^2+\frac{120}{-8}t-\frac{56}{-8}=0\\2t^2-15t+7=0$

Using quadratic formula to solve for 't', we get:

$t=\frac{-b\pm \sqrt{b^2-4ac}}{2a}\\\\t=\frac{-(-15)\pm \sqrt{(-15)^2-4(2)(7)}}{2(2)}\\\\t=\frac{15\pm \sqrt{225-56}}{4}\\\\t=\frac{15\pm\sqrt{169}}{4}\\\\t=\frac{15\pm 13}{4}\\\\t=\frac{15-13}{4}\ or\ t=\frac{15+13}{4}\\\\t=\frac{2}{4}\ or\ t=\frac{28}{4}\\\\t=0.5\ s\ or\ t=7\ s$

Therefore, the debris will reach a height of 56 ft twice.

When time $t=0.5\ s$ during the upward journey, the debris is at height of 56 ft.

Again after reaching maximum height, the debris falls back and at $t=7\ s$ , the height is 56 ft.

5 0

3 years ago

A school principal wants to determine which type of speaker the students prefer to invite to an assembly for the entire student

Lady_Fox [76]

When it comes to sampling methods, random sampling is one of the most effective. The principal wants the results of his or her sample to be as fair as possible, so it is best to choose students randomly, and in a neutral environment. The mall is not a neutral environment because not all students have access to the mall, and even those who do are not guaranteed to provide accurate results. The same goes for a basketball game, and student council. Samples taken from these environments are likely to produce more bias. However, collecting a survey from every tenth student entering the school one morning is more likely to produce accurate results that are representative of the school population.

3 0

3 years ago

Read 2 more answers