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4 years ago

The graph of the function f is shown. f(3) =

2 answers:

6 0

Draw a picture! 29) The graph of the function f is shown to the right. y Which of the following statements is false? ... 3) On the graph to the right, draw a function that has the following properties: 0 A step (or jump) discontinuity at x = 5

NNADVOKAT [17]4 years ago

5 0

Answer:

The answer is D)5

Step-by-step explanation:

I hope this helps

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Please solve with steps.

Kitty [74]

Answer: a) h = 2

b) a = $-\dfrac{3}{4}$ k = $\bold{3\dfrac{1}{2}}$

Step-by-step explanation:

The vertex form of a quadratic equation is: y = a(x - h)² + k where

a is the vertical stretch
(h, k) is the vertex

The graph shows the axis of symmetry at x = 2, therefore, the x-coordinate of the vertex (h) is 2.

Two points are given: $\bigg(0, \dfrac{1}{2}\bigg)\ and\ \bigg(3, 2 \dfrac{3}{4}\bigg)$ . We can use these points to create two equations and then solve the system to find the a and k-values.

y = a(x - 2)² + k

$\bigg(0, \dfrac{1}{2}\bigg)\\\rightarrow \dfrac{1}{2}=a(0-2)^2+k\\\\\rightarrow \dfrac{1}{2}=4a+k\\\\\rightarrow \dfrac{1}{2}-4a=k\\\\\\\bigg(3, 2\dfrac{3}{4}\bigg)\\\rightarrow 2\dfrac{3}{4}=a(3-2)^2+k\\\\\rightarrow 2\dfrac{3}{4}=a+k\\\\\rightarrow 2\dfrac{3}{4}-a=k\\\\\\\\\dfrac{1}{2}-4a=2\dfrac{3}{4}-a\\\\\dfrac{1}{2}-2\dfrac{3}{4}=4a-a\\\\\dfrac{2}{4}-\dfrac{11}{4}=3a\\\\-\dfrac{9}{4}=3a\\\\-\dfrac{9}{4\cdot 3}=\dfrac{3a}{3}\\\\ \bold{-\dfrac{3}{4}=a}$

Solve for k:

$2\dfrac{3}{4}-a=k\\\\\\2\dfrac{3}{4}-\bigg(-\dfrac{3}{4}\bigg)=k\\\\\\\bold{3\dfrac{1}{2}=k}$

5 0

3 years ago

Mary crocheted a rectangular blanket whose diagonal measures approximately 7.21 feet. What are the most likely length and width

mote1985 [20]

Answer:

If both sides are integers, one side will be 4 feet and the other will be 6 feet. The other solution is the symmetrical solution (4 feet instead of 6 feet, and 6 feet instead of 4 feet).

Step-by-step explanation:

We have a rectangular blanket, that has a diagonal that measures h=7.21 feet.

The two sides of the rectangle a and b can be related to the diagonal h by the Pithagorean theorem:

$a^2+b^2=h^2$

Then, we can express one side in function of the other as:

$a^2+b^2=h^2\\\\a^2=h^2-b^2\\\\a=\sqrt{h^2-b^2}=\sqrt{7.21-b^2}=\sqrt{52-b^2}$

Then, if we define b, we get the value of a that satisfies the equation.

A graph of values of a and b is attached.

If both side a and b are integers, we can see in the graph that are only two solutions: (b=4, a=6) and (a=4, b=6).

8 0

3 years ago

12x-8=64 solve for x

ladessa [460]

Step-by-step explanation:

12x-8=64

we transposed

12x=64+8

12x=72

we divide both by 12

12x/12=72/12

x= 6

7 0

3 years ago

Read 2 more answers

Pls answer asap, brainilest will be given to best answer, and best explanation.

juin [17]

Answer:

it should be D

Step-by-step explanation:

because A is going at y=30x, and B is slower than it. So there's only one choice that matches. which is y=15x

3 0

3 years ago

Let f(x) = 3x + 5. Solve f−1(x) when x = 3

Gennadij [26K]

Answer:

Step-by-step explanation:

The function f(x) is 3x+5

● (f-1)(x) = 3x+5 -1

● (f-1)(x) = 3x+4

Replace x with 3

● (f-1)(x) = 3×3+4 = 13

8 0

3 years ago