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2 years ago

Consider the y-intercepts of the functions. f(x)= 1/5 [x-15] g(x)= (x-2)^2 The y-coordinate of the greatest y-intercept is..

Mathematics

2 answers:

Molodets [167]2 years ago

4 0

Answer:

Step-by-step explanation:

I used Desmos

Tomtit [17]2 years ago

4 0

Answer:

Step-by-step explanation:

just took the test on edgenuity :D

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If m< BCD = 54, find m< BAC

dmitriy555 [2]

m∠BAC = 27°

Solution:

ABCD is a quadrilateral.

AB and CD are parallel lines.

Given m∠BCD = 54°

AC bisect ∠BCD.

m∠DCA + m∠CAB = m∠BCD

m∠DCA + m∠DCA = 54° (since ∠ACB = ∠DCA)

2 m∠DCA = 54°

Divide by 2 on both sides, we get

m∠DCA = 27°

AB and CD are parallel lines and AC is the transversal.

<em>If two parallel lines cut by a transversal, then the alternate interior angles are equal.</em>

m∠BAC = m∠DCA

m∠BAC = 27°

Hence m∠BAC = 27°.

7 0

3 years ago

Determine the open intervals on which the graph of f(x) = x - 4cos x is concave upward or concave downward

bazaltina [42]

The graph of the function $f(x)$ is

concave upward, when $f''(x)>0;$
concave downward, when $f''(x)$

Find $f''(x):$

$f'(x)=(x-4\cos x)'=1+4\sin x;$

$f''(x)=4\cos x.$

Now:

1. when $4\cos x>0,$ the graph of the function is concave upward and this is for

$x\in \left(-\dfrac{\pi}{2}+2\pi k,\dfrac{\pi}{2}+2\pi k\right), \text{ where } k\in Z.$

2. when $4\cos x$ the graph of the function is concave downward and this is for

$x\in \left(\dfrac{\pi}{2}+2\pi k,\dfrac{3\pi}{2}+2\pi k\right), \text{ where } k\in Z.$

6 0

2 years ago

What is the probability of p(2 of spades)

serious [3.7K]

Answer:

<h2><u><em>**Please rate brainliest and vote 5 and give thanks**</em></u></h2>

Step-by-step explanation:

● A standard deck of cards has:

● 52 Cards in 13 values and 4 suits

● Suits are Spades, Clubs, Diamonds

and Hearts

● Each suit has 13 card values:

2-10, 3 “face cards” Jack, Queen, King (J, Q, K)

and and Ace (A)

Basic Card Probabilities

● If you draw a card at random, what is the

probability you get:

● A Spade? P(Spade)=13/52

● A Face card? P(Face Card)=12/52 (or simply 3/13)

● A Red Ace? P(Red Ace) = 2/52

6 0

3 years ago

What is the equation of the line that passes through the point (5, -6) and has a<br> slope of 3/5

Marysya12 [62]

Answer:

y = 3/5x + -9

or y = 3/5x - 9

Step-by-step explanation:

Since you are already given the slope for this equation all you have to do is plug in the ordered pair in this equation: y = mx+b

Here is what this equation stands for:

y = the y in the order pair you are given, in this case it would be -6

m = This is the slope, sometimes you may not be given the slope so you would have to find it, but in this case, you are given it, the slope is 3/5

x = the x in the ordered pair you are given, in this case it would be 5

b = This is the y-intercept, you will mostly be solving for this most of the time

(5,-6)

(x, y)

y = mx+b (Use this Formula)

-6 = 3/5(5) +b (The numbers have been substituted within the formula)

-6 = 3+b (simplify the equation by multiplying the slope by the x)

-6-3 = b ( once simplified the left side of the equation, go to the right side, but remember when you do that you have to change the sign because you are eliminating 3 on the left side completely, "what you do on one side, do it to the other side")

-9 = b (solve)

y = 3/5x + -9 (plug in the slope and B(y-intercept) within the formula - y = mx+b, make sure that you are not plugging in x and y for this step)

I Hope This Helped You Understand this Problem Better/More!!! Stay Safe and Healthy!

8 0

2 years ago

A jet travels 500 miles in 5 hours. What is the ratios of miles to hours?

tia_tia [17]

Answer:

different answers in step-by-step

Step-by-step explanation:

100 mph

100mi:1hr

100mi/1hr

3 0

2 years ago