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2 years ago

Which is the correct interpretation of the x-intercepts of

Mathematics

2 answers:

stira [4]2 years ago

8 0

Answer:

The x-intercept would be at the point where there are 0 downloads in x days.

Step-by-step explanation:

The x-intercept of a function is the point where the graph of the function crosses the x-axis and the y-coordinate is 0.

That is, the point (x, 0) is the x-intercept of a function.

In this case the data provided is for the number of free downloads using the promo code (f (x), in tens of thousands) and the time since posting (x days).

So, in this case the x-intercept would be at the point where there are 0 downloads in x days.

dusya [7]2 years ago

3 0

Answer:

The answer is D

Step-by-step explanation:

Source:Dude trust me

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Which of the following options is an equivalent function to f(x) = 4(3)2X?

Paha777 [63]

Answer:

$f(x)=4(6x)$

Step-by-step explanation:

Given:

the given expression is.

$f(x)=4(3)2x$

Simplify the given expression.

$f(x)=4(3)2x$

$f(x)=4(3\times 2x)$

$f(x)=4(6x)$

Therefore, the option $f(x)=4(6x)$ is an equivalent function to $f(x)=4(3)2x$ .

8 0

2 years ago

2 At Bea's Pet Shop, the number of dogs, d, is initially five less than twice the number of cats, c. If she decides to add three

forsale [732]

Let D be dogs and C be cats

dogs, d, is initially five less than twice the number of cats, c

D + 5 = 2C

If she decides to add three more of each, the ratio of cats to dogs will be

D + 8 = 2C + 3

Could Bea's Pet Shop initially have 15 cats and 20 dogs?

Simply plug in the numbers

20 + 5 = 2(15)

This is clearly not true: 25 does not equal 30

7 0

2 years ago

Archie can walk 1 mile in 1/3 hour. How far can walk in 3 hours explain how you found the answer

egoroff_w [7]

Answer: 9

Step-by-step explanation:

We know that he can walk one mile in 1/3 of an hour. We can divide 3 by 1/3.

3/(1/3) When dividing by a fraction, we multiply its reciprocal instead.

3*3=9. This means that he can walk 9 miles in 3 hours.

7 0

2 years ago

A rectangular portrait measures 50cm by 70cm. It is surrounded by a rectangular frame of uniform width. If the area of the frame

snow_tiger [21]

Let us assume uniform width = x cm wide.

Length of rectangular portrait = 50cm and width of rectangular portrait = 70cm.

Therefore, length of rectangle made by frame = 50 + x+x = (2x+50) cm.

And width of rectangle made by frame = 70+x+x = (2x+70) cm.

We know, the area of rectangular portrait = 50 × 70 = 3500 cm^2.

Total area of the rectangle made by frame would be = (2x+50) * (2x+70)

We know,

Actual area of frame = Area of rectangle made by frame - area of rectangular portrait.

We also given "the area of the frame is the same as the area of the portrait."

We can setup an equation now,

3500 = (2x+50) * (2x+70) - 3500.

Subtracting 3500 from both sides, we get

3500-3500 = (2x+50) * (2x+70) - 3500-3500.

0 = (2x+50) * (2x+70) -7000.

FOIL (2x+50) * (2x+70), we get

0 = 2x*2x +2x*70 + 50*2x +50*70 - 7000.

0 = 4x^2 +140x +100x +3500 -7000.

4x^2 +240x -3500 = 0.

Dividing whole equation by 4, we get

x^2 +60x - 875 =0

Applying quadratic formula $=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$ , we get

$=\frac{-60\pm \sqrt{60^2-4\cdot \:1\left(-875\right)}}{2\cdot \:1}$

$x=\frac{-60+\sqrt{60^2-4\cdot \:1\left(-875\right)}}{2\cdot \:1}=5\left(\sqrt{71}-6\right)$

$x=\frac{-60-\sqrt{60^2-4\cdot \:1\left(-875\right)}}{2\cdot \:1}:\quad -5\left(6+\sqrt{71}\right)$

We cant take negative value.

So, $x=5\left(\sqrt{71}-6\right)=12.13$

We could take approximately 12 cm.

7 0

2 years ago

he ratio table below describes the relationship between grapes and blueberries in a fruit salad. Fruit Salad Grapes (cups) Blueb

scoray [572]

The first thing you should do for this case is to graph the data you have in the statement to see the relationship between grapes and blueberries.
The function represented by the table is
y = 0.25x
Then, as Mandie is making 15 glasses of fruit salad, we have:
y + x = 15
We have two equations and two unknowns that we must solve.
y = 0.25x
y + x = 15
Resolving
For x:
0.25x + x = 15
1.25x = 15
x = 15 / 1.25 = 12
For y:
y = 0.25x = 0.25 (12) = 3
Answer
The ratio of grapes to blueberries she should use is 12: 3

3 0

2 years ago

Read 2 more answers