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3 years ago

Which of the following numbers is NOT part of the solution to x ≤ -2?

1 answer:

5 0

-1.76

Since the solution needs to be a number less than or equal to -2, you need to find a number that is closer to 0 than -2. The answer can not be -2 as it is equal to -2, and cannot be -8/-2.45 as it is a greater distance to 0.

Hope this helps comment below for more questions :)

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15 points!!!!!help!!!!!!!!!!!!

Setler [38]

Hi! :)

So a right triangle is a triangle that contains a ninety degree angle, it's not classified by side length. A scalene triangle is a triangle in which all three sides are different lengths. An isosceles triangle has two sides that are the same length. Either a scalene or an isosceles triangle could contain a right angle, so your answer is yes.

Hope this helps!

8 0

3 years ago

Read 2 more answers

Eliza started her savings account with $100. Each month she deposits $25 into her account. Determine the average rate of change

Afina-wow [57]

First, lets create a equation for our situation. Let $x$ be the months. We know four our problem that Eliza started her savings account with $100, and each month she deposits $25 into her account. We can use that information to create a model as follows:
 $f(x)=25x+100$

We want to find the average value of that function from the 2nd month to the 10th month, so its average value in the interval [2,10]. Remember that the formula for finding the average of a function over an interval is: $\frac{f(x_{2})-f(x_{1})}{x_{2}-x_{1} }$ . So lets replace the values in our formula to find the average of our function:
$\frac{25(10)+100-[25(2)+100]}{10-2}$
$\frac{350-150}{8}$
$\frac{200}{8}$
$25$

We can conclude that the average rate of change in Eliza's account from the 2nd month to the 10th month is $25.

6 0

3 years ago

Match each transformation of function f to a feature of the transformed function.

andrezito [222]

By analyzing the parent function graph, we will see that:

1) m(x) = -f(x) ⇒ "function decreases as x increases"
2) h(x) = f(x) + 2 ⇒ "asymptote of y = 2"
3) j(x) = f(x + 2) ⇒ "y-intercept at (0, 4)"
4) g(x) = 2*f(x) ⇒ "y-intercept at (0, 2)"

<h3>What thing does each transformation?</h3>

Let's list each transformation and let's see which is the correct option for each one.

1) m(x) = -f(x).

This is a reflection over the x-axis, so, now the curve will open downwards. This means that now we have a decreasing function, so the correct option here is: "function decreases as x increases"

2) h(x) = f(x) + 2

This is a vertical translation of 2 units upwards. So it moves the whole graph 2 units upwards. Originally, you can see that in the left side we have an asymptote at y = 0, now that asymptote will be at y = 2.

So the correct option is: "asymptote of y = 2.

3) j(x) = f(x + 2)

This is a shift of 2 units to the left, notice that when we evaluate this in x = 0 we et:

j(0) = f(2) = 2^2 = 4

So the y-intercept os (0, 4).

4) g(x) = 2*f(x)

This is a vertical stretch of scale factor 2.

When we evaluate this in x = 0, we get:

g(0) = 2*f(1) = 2

So the y-intercept is at (0, 2).

If you want to learn more about transformations, you can read:

brainly.com/question/4289712

6 0

2 years ago

Elena got on 25 of her mom's nerves. Later, she gets on 7 more. How many nerves of her mother did Elena trigger?

Dmitry [639]

Answer:

the last one lol- thats just how it works

3 0

3 years ago

Can a math god help me out?

Taya2010 [7]

Answer:

$f(1)=70$

$f(n)=f(n-1)+6$

Step-by-step explanation:

One is given the following function:

$f(n)=64+6n$

One is asked to evaluate the function for $(f(1))$ , substitute $(1)$ in place of $(n)$ , and simplify to evaluate:

$f(1)=64+6(1)$

$f(1)=64+6$

$f(1)=70$

A recursive formula is another method used to represent the formula of a sequence such that each term is expressed as a function of the last term in the sequence. In this case, one is asked to find the recursive formula of an arithmetic sequence: that is, a sequence of numbers where the difference between any two consecutive terms is constant. The following general formula is used to represent the recursive formula of an arithmetic sequence:

$a_n=a_(_n_-_1_)+d$

Where ( $a_n$ ) is the evaluator term ( $a_(_n_-_1_)$ ) represents the term before the evaluator term, and (d) represents the common difference (the result attained from subtracting two consecutive terms). In this case (and in the case for most arithmetic sequences), the common difference can be found in the standard formula of the function. It is the coefficient of the variable (n) or the input variable. Substitute this into the recursive formula, then rewrite the recursive formula such that it suits the needs of the given problem,

$a_n=a_(_n_-_1_)+d$

$a_n=a_(_n_-_1_)+6$

$f(n)=f(n-1)+6$

3 0

3 years ago