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brilliants [131]
4 years ago
7

15 points attached file

Mathematics
2 answers:
Serga [27]4 years ago
8 0

Answer:

Step-by-step explanation:

x=-3

sdas [7]4 years ago
4 0

Answer:

x = 3 renders the same output for both functions

Step-by-step explanation:

From the graph, we see that at the point x = 3 both lines intersect. This means that their y value coincide for that value of x.

We check using the functions' expressions to verify that our answer is correct.  Then we evaluate both functions separately at x = 3:

f(3)= -\frac{2}{3} (3) + 1 = -2 + 1 = -1\\g(3) = \frac{1}{3} (3) -2 = 1-2 =-1

So we conclude that effectively, the input x=3 produces equal output value (-1) for the two given functions.

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Lorico [155]

Answer and Step-by-step explanation:

1.

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8 0
3 years ago
Find the volume of the cone. Round your answer to the nearest tenth.
levacccp [35]

Answer:

<em>V= 1/3(π.r².h)</em><em> </em><em>formula</em>

= 1/3×( 22/7 × 7²×9)

= 1/3× (22/7 × 49 × 9)

= 1/3×(22×7×9)

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=1/3× 1386

= <em>462 cubic </em><em>yards</em>

Step-by-step explanation:

Note:

π = 3,14 or 22/7

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4 0
3 years ago
A store is having a sale on trail mix and jelly beans. For 5 pounds of trail mix and 3 pounds of jelly beans, the total cost is
GaryK [48]

Answer:

Trail Mix costs $2.50 per pound, and Jelly Beans cost $1.50 per pound.

Step-by-step explanation:

Using x for trail mix and y for jelly beans, we have a system of equations being

\left \{ {{5x+3y=17} \atop {2x+12y=23}} \right.

We can solve this system using substitution

5x+3y=17

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x+\frac{3}{5} y=\frac{17}{5}

Subtract \frac{3}{5} y from each side to single out one variable to one side

x=\frac{17}{5} -\frac{3}{5} y

Now, we can plug in our value for x into the given equation

2(\frac{17}{5} -\frac{3}{5} y)+12y=23

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\frac{34}{5} -1\frac{1}{5} y+12y=23

Merge Y values

6.8+10.8y=23

Separate numerical values from variables

10.8y=16.2

Divide by 10.8 in order to have a coefficient of 1

y=1.5

Now that we have one of the values, we know that a pound of jelly beans costs $1.50. We can now plug in 1.5 for y into one of our equations to find x.

5x+3(1.5)=17

Open parentheses

5x+4.5=17

Single out the variable

5x=12.5

Divide by 5 to have a coefficient of 1 before x

x=2.5

y=1.5

3 0
3 years ago
What is Y+1=2/5(x+3) in standard form
sesenic [268]

Answer:

x=  5y−1  over  2

Step-by-step explanation:

8 0
3 years ago
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Leokris [45]

Answer:

0.9

Step-by-step explanation:

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4 0
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