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Natali5045456 [20]
3 years ago
11

Help me asap. thanks

Mathematics
2 answers:
Greeley [361]3 years ago
7 0

Answer:

The third graph is the graph of the function provided

Step-by-step explanation:

A simple technique that can be used to identify the graph that matches the given function is; determination of the y-intercept and then using elimination method to match the function with its graph. At the y-intercept the value of x is always zero, so we replace x with zero in the right hand side of the equation; y(x) = 2^(0+3) = 8. The graph of the function should therefore cross the y-axis at the point (0,8). Thus, the third graph is the graph of the given function.

elena55 [62]3 years ago
7 0

Answer:

Option C is correct.

Step-by-step explanation:

An exponential is in the form of :

f(x) = ab^x

where

a is the initial value and

b is the growth factor.

If b> 1 , then the graph is increasing.

if 0<b<1, then the graph is decreasing.

Given the function:

f(x) = 2^{x+3}

we can write this as:

f(x) = 2^x \cdot 2^3 = 8 \cdot 2^x

⇒f(x) =8 \cdot (2)^x

Here, b = 2 > 1

y-intercept: The graph crosses the y-axis

Substitute x = 0 and solve for f(x):

f(0) =8 \cdot (2)^0

⇒f(0) = 8

⇒a = 8

Graph of this function:

We make table for some values of x;

x               f(x)

-1               4

0                8

1                 16

2                32

Note as x increase, f(x) increases

Now, plot these points on the coordinate plane.

You can see the graph of the given function shown below.

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Jane bought a loaf of multi-grains bread; as she is reading the label, the list of grains added was the last one in the list of
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Answer:

4) The bread contains a small quantity of multi-grain

Yes, that's the correct and the good interpretation for this case. As we know the composition of bread is not at alll with just grains. So on this case since the types of grains for the bread is at the end of the list we can assume that we have a small quantity of multi grain.Step-by-step explanation:

Statement: Jane bought a loaf of multi-grains bread; as she is reading the label, the list of grains added was the last one in the list of ingredients. Based on your knowledge, what this indicates?

For this question we assume the following options. We analyze each one in order to select the correct one.

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We don't know if that's correct since we don't know the percentages of each indredient, and we can't ensure that we have a bread rich in multi grains.

2) The bread does not contain any multi-grains.

That's False, since the problem states that at the end of the list of ingredients Jane read the list of grains.

3) This is a multi-grains rich bread.

Again like the option 1 we don't know if the bread present a multi grain composition since the statement don't provide any info to suggest this.

4) The bread contains a small quantity of multi-grain

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3 years ago
Jessica and Riley are selling wrapping paper for a school fundraiser. Customers can buy rolls of plain wrapping
bixtya [17]

Answer:

Cost of one roll of plain wrapping: \$5

Cost of one roll of holiday wrapping paper:  \$19

Step-by-step explanation:

Let be "p" the cost in dollars of one roll of plain wrapping paper and "h" the cost in dollars of one roll of holiday wrapping paper.

Based on the information given, we can set up this system of equations:

\left \{ {{5p+13h=272} \atop {11p+16h=359}} \right.

In order to solve it, we can use the Substitution method. The steps are:

1. Solve for "p" from the first equation:

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2. Substitute the above into the second equation and solve for "h":

11(\frac{272-13h}{5})+16h=359\\\\598.4-28.6h+16h=359\\\\-12.6h=359-598.4\\\\h=\frac{-239.4}{-12.6}\\\\h=19

3. Substitute the value of "h" into p=\frac{272-13h}{5}:

p=\frac{272-13(19)}{5}\\\\p=5

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