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rodikova [14]
3 years ago
6

Please help asap 28 pts

Mathematics
2 answers:
Nat2105 [25]3 years ago
7 0

f(x) = -x+7

f(15) = -15+7

f(15) = -8

Mkey [24]3 years ago
3 0
F(15) is equal to -x + 105
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The weight of an object is equal to 3\4 of its own weight plus 3\4of a pound. What is the weight?
Phoenix [80]

Answer:

The weight of the object is 3 kg.

Step-by-step explanation:

<u>Step 1: </u>

Let object weight be x kg.

Now, as per the available data,

3/4 kg + 3/4 (x kg) = x kg

<u>Step 2: </u>

3/4 (1 + x) = x

1 + x = 4x/3

1 = x (4/3 - 1)

x = 1 / (1/3)

x = 3

Weight of Object is 3 kg.

<u>Step 3: </u>

Let's check if this value satisfies the first equation.

3/4 + 3/4 x 3 = 3/4 + 9/4 = 12/4 = 3

Hence proved.

8 0
3 years ago
Determine whether line segment FG is tangent to circle E.
liubo4ka [24]

The tangent meets the radius at a right angle.

We use (the converse of) the Pythagorean Theorem to check:

26^2 + 17^2 = 965 \ne 30^2

Not a right triangle

Answer: FALSE

4 0
2 years ago
a pack rat has 130 piglets and 110 books. She wants to maintain this ratio in her collection but needs to sell some of her items
bija089 [108]

The number of items she should sell from her collection is 24

<h3>How to determine the number of items she should sell from her collection?</h3>

From the question, we have the following parameters that can be used in our computation:

Ratio = Piglets : Books

For 130 piglets and 110 books, we have the following representations

Ratio = 130 : 110

Also, for 13 piglets, we have the following representations

Ratio = 13 : Books

Using the above as a guide, we have the following:

13 : Books = 130 : 110

This can also be rewritten as

Books : 13 = 110 : 130

Multiply the second ratio by 1/10

So. we have

Books : 13 = 11 : 13

By comparison, we have

Books = 11

So, the total items sold is

Items = 11 books + 13 piglets

Evaluate

Items = 24 items

Hence, the number of items is 24

Read more about ratios at

brainly.com/question/12024093

#SPJ1

6 0
1 year ago
Simplify.
aleksley [76]
First multiply (-5/6) and (1/6) to get
-  \frac{5}{36}
then you subtract that from (8/9) to get
\frac{27}{36}
final answer is
\frac{3}{4}
5 0
3 years ago
A set of sofa prices are normally distributed with a mean of 2500 dollars and a standard deviation of 200 dollars.
blagie [28]

We have been given that a of sofa prices are normally distributed with a mean of 2500 dollars and a standard deviation of 200 dollars.  A leather sofa has a price of 2410 dollars. We are asked to find the proportion of sofa prices that are higher than the price of the leather sofa.

First of all, we will find the z-score corresponding to sample score 2410.

z=\frac{x-\mu}{\sigma}

z=\frac{2410-2500}{200}

z=\frac{-90}{200}

z=-0.45

Now we need to find area under normal curve that is greater than z-score of -0.45 that is P(z>-0.45).

Using formula P(z>a)=1-P(z, we will get:

P(z>-0.45)=1-P(z

Now we will find area under curve using normal distribution table.

P(z>-0.45)=1-0.32636

P(z>-0.45)=0.67364

Upon rounding to 4 decimal places, we will get:

P(z>-0.45)\approx 0.6736

Therefore, approximately 0.6736 of sofa prices are higher than the price of the leather sofa.

8 0
3 years ago
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