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Setler79 [48]
2 years ago
7

Solve for y: 3d = 7y + 5

Mathematics
1 answer:
pogonyaev2 years ago
7 0

Answer:

d = \frac{7y+5}{3}

Step by step explanation:

3d = 7y+5

<em>Divide both sides by 3</em>

<em />\frac{3d}{3}<em>= </em>\frac{7y}{3}+ \frac{5}{3}

<em>Simplify</em>

\frac{7y+5}{3}

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Hi boys can you help me pls!!!!!!!
goblinko [34]

Answer: OPTION A.

Step-by-step explanation:

Given the following function:

h(x)=-\frac{1}{4}x^2+\frac{1}{2}x+\frac{1}{2}

You know that it represents the the height of the ball (in meters) when it is a distance "x" meters away from Rowan.

Since it is a Quadratic function its graph is parabola.

So, the maximum point of the graph modeling the height of the ball is the Vertex of the parabola.

You can find the x-coordinate of the Vertex with this formula:

x=\frac{-b}{2a}

In this case:

a=-\frac{1}{4}\\\\b=\frac{1}{2}

Then, substituting values, you get:

x=\frac{-\frac{1}{2}}{(2)(-\frac{1}{4}))}\\\\x=1

Finally, substitute the value of "x" into the function in order to get the y-coordinate of the Vertex:

h(1)=y=-\frac{1}{4}(1)^2+\frac{1}{2}(1)+\frac{1}{2}\\\\y=0.75

Therefore, you can conclude that:

<em> The maximum height of the ball is 0.75 of a meter, which occurs when it is approximately 1 meter away from Rowan.</em>

7 0
3 years ago
Which statement is true about the function f(x)= StartRoot negative x EndRoot?
UNO [17]

Answer:

The domain of the graph is all real numbers less than or equal to 0

Step-by-step explanation:

we have the function

f(x)=\sqrt{-x}

we know that

The radicand must be positive

so

-x \geq 0

Solve for x

Multiply by -1 both sides

x\leq 0

The domain is the interval ------> (-∞,0]

All real numbers less than or equal to zero

The range of the function is the interval -----> [0,∞)

f(x)\geq 0

see the attached figure to better understand the problem

All real numbers greater than or equal to zero

<em><u>Verify each statement</u></em>

case 1) The domain of the graph is all real numbers

The statement is false

Because, the domain is all real numbers less than or equal to zero

case 2) The range of the graph is all real numbers

The statement is false

Because, the range is all real numbers greater than or equal to zero

case 3) The domain of the graph is all real numbers less than or equal to 0

The statement is true

case 4) The range of the graph is all real numbers less than or equal to 0

The statement is false

Because, the range is all real numbers greater than or equal to zero

4 0
3 years ago
Read 2 more answers
Use the data to answer the following question.
PtichkaEL [24]

Answer: a

Step-by-step explanation:

4 0
3 years ago
Mr. Yu applies 12 ounce of fertilizer to every 58 square meter of his lawn. How many ounces of fertilizer does Mr. Yu use per sq
zimovet [89]

Answer:

0.207 oz

Step-by-step explanation:

12/58=0.206896552

3 0
3 years ago
Ivan has 4 hours of music on his mp3player. Jazz makes up 1/6 of the total time . How many hours of jazz are in Ivan MP3 player
Irina-Kira [14]
So he has 4 hrs on his mp3 player...for which jazz makes up 1/6 of it..

so we need 1/6 of 4 hrs...." of " means multiply
1/6 * 4 = 4/6 = 2/3 of an hr <== 
3 0
3 years ago
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