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2 years ago

Which of the following functions is graphed below?(:

Mathematics

2 answers:

ArbitrLikvidat [17]2 years ago

6 0

The answer would be C because in an equation of y = | x - k | + b, you take the value outside of the abs. val. bars and shift it vertically that amount, but you take k and shift it to the negative of that value horizontally.

so basically your graph is |x| shifted 5 to the right and 4 down. this means that k would be -5 (since the shift is the k value times negative one), and b would be 4. therefore y = | x - (-5) | -5, which is equivalent to C

Anna11 [10]2 years ago

5 0

Answer:

B. $y=|x-5|-4$

Step-by-step explanation:

To evaluate correctly the graph you just have to search for the point where the total value of the absolute value is 0, so when the absolute value of the function is 0, you know for sure that Y will be at -4.

So the value in $y=|x-5|-4$ where the absolute value is 0 would be at X=5, if you evaluate the function at x=5 it would look like this:

$y=|x-5|-4$

$y=|5-5|-4$

$y=|0|-4$

$y=-4$

So your point in the graph would be: (5,-4) as it is correct in the graph, your equation of the function in the graph would be $y=|x-5|-4$

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Simplify 2(3×8-15÷16)<br>

KengaRu [80]

Answer:

46.125 or 46 1/8

Step-by-step explanation:

2(3×8-15÷16)

=2(24-15÷16)

= 48 - 30/16

= (768 - 30)/16

= 738/16

= 46.125 or 46 1/8

8 0

2 years ago

In triangle $DEF,$ $\angle D = 30^\circ,$ $\angle F = 60^\circ,$ and $EF = 6.$ Find $DE + DF.$ [asy] unitsize(2 cm); pair D, E,

sergey [27]

Answer:

Step-by-step explanation:

The answer to this question is 12+6sqrt3.

This is because of the 30, 60, and 90 degree rule. The rule states that the hypotenuse is equal to twice the length of the shorter leg, which is the side across from the 30 degree angle.

Using the rule you now know that DF is 12. Then use the Pythagorean Theorem to find the length of DE. 12^2=144, and 6^2=36. 144-36=108.

The square root of 108 simplified=6sqrt3.

Then you add them together and get 12+6sqrt3.

5 0

2 years ago

Noor wants to spend less than $20 on condiments. Each kilogram of salt costs $1.50, and each kilogram of pepper costs 2.50.

nata0808 [166]

Answer:

1.5s+2.5p<20

Step-by-step explanation:

Multiply by each kilo and then make sure it adds up to less than 20!

3 0

2 years ago

Monica has a bag of marbles. There are 4 red marbles and 7 blue marbles and 5 yellow marbles in a bag. Monica will randomly pick

natima [27]

Answer:

$\frac{7}{64}\approx 0.11$

Step-by-step explanation:

We have been given that there are 4 red marbles and 7 blue marbles and 5 yellow marbles in a bag. Monica will randomly pick two marbles out of the bag replacing the first marble before picking the second marble.

Since Monica will replace the first marble before picking the second marble, therefore, probability of both events will be independent and probability of occurring one event will not affect the probability of second event's occurring.

Since the probability of two independent compound events is always the product of probabilities of both events.

$P(\text{A and B})=P(A)*P(B)$

Now let us find probability of picking a red marble out of 16 (4+7+5) marbles.

$P(Red)=\frac{\text{Total red marbles}}{\text{Total marbles}}$

$P(Red)=\frac{4}{16}$

Probability of picking blue ball out of 16 (4+7+5) marbles:

$P(Blue)=\frac{\text{Total blue marbles}}{\text{Total marbles}}$

$P(Blue)=\frac{7}{16}$

Now let us find probability of Monica picking a red and then a blue marble.

$P(\text{Red and Blue})=\frac{4}{16}\times \frac{7}{16}$

$P(\text{Red and Blue})=\frac{1}{4}\times \frac{7}{16}$

$P(\text{Red and Blue})=\frac{7}{4*16}$

$P(\text{Red and Blue})=\frac{7}{64}$

$P(\text{Red and Blue})=0.109375\approx 0.11$

Therefore, the probability of picking a red and then blue marble is $\frac{7}{64}\approx 0.11$ .

7 0

2 years ago

An acute triangle has two sides measuring 8 cm and 10 cm . What is the best representation of the possible range of values for t

Mekhanik [1.2K]

Answer:

the right answer is 2 < s< 18

Step-by-step explanation:

The Third side of the triangle must be greater than the difference of the other two sides which is 10 -8= 2 and smaller than the sum of the other two sides of the triangle which is 10+8= 18.

so third side should be greater than 2 and less than 18.

So right answer is 2 < s< 18

5 0

1 year ago