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lesya692 [45]
3 years ago
15

Describe 58 as a sum of tens and ones

Mathematics
1 answer:
Solnce55 [7]3 years ago
4 0
58 is 5 tens (5*10) and 8 ones (8*1)
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PLEASE HELP IM BEING TIMED!!! WILL MARK BRAINLIEST FOR CORRECT ANSWER!!! 100PTS!!!
amid [387]

Answer:

B and D.

Step-by-step explanation:

We know that when we added the two functions together, we get:

h(x)=-x+9

However, when we multiplied them together, we get:

j(x)=-9x

Let's first consider what we can determine from this.

If we add them together, we get a linear equation. However, this doesn't mean that our two original functions are linear since if we have, say, -x^2 and x^2-x+9, they will cancel and form a linear equation if we add them together.

<em>However</em>, since we know that if we multiply the two functions together, we get a linear equation, this means that both our original functions must be linear.

<em>But</em>, if we multiplied two linear functions, then we should get a quadratic, since x times x will yield x².

Therefore, this means that one of our linear functions is a horizontal line with no x variable. This is the only way to have a linear equation when multiplied.

Therefore, we have determined that both of our original functions are linear functions, and one (only one of them) is a horizontal line.

Let's go through each of the answer choices.

A) Both functions must be quadratic.

This is false as we determined earlier. If this was true, then the resulting function should be a quartic and not a line. A is false.

B) Both functions must have a constant rate of change.

Remember that all linear equations have a constant rate of change.

Since we determined that both our original functions are linear equation, this means that both our functions will have a constant rate of change.

So, B is true.

C) Both functions must have a y-intercept of 0.

Remember that one of our functions is a horizontal line.

If the y-intercept was 0, then the equation of our horizontal line will be:

y=0

And we know that anything multiplied by 0 will give us 0. However, the product of our function is -9x.

So, C cannot be true.

Rather, only our linear equation (not the horizontal line) may have a y-intercept of 0.

D) The rate of change of either f(x) or g(x) must be 0.

Remember that we determined that one of our lines must a horizontal.

Remember that horizontal lines have a slope of 0. In other words, the rate of change is 0.

So, D is true.

E) The y-intercepts of f(x) and g(x) must be opposites.

Well, since B and D is are true, this must be false since we can only select two options ;D

But, we can think about this. Note that if we multiply the two functions, we have a function <em>without</em> a y-intercept.

Remember that our horizontal line is <em>not</em> 0. So, the y-intercept of the horizontal line is a number.

So, the opposite of a number is another number.

So, if we multiply two non-zero numbers, we <em>must</em> get another number.

However, from our product, j(x)=-9x, we don't have another number. The y-intercept from this is 0.

Therefore, the two y-intercepts <em>cannot</em> be opposites of each other. If it was so, then we should have a y-intercept. So, E must be false.

In fact, this means that the y-intercept of our line (not the horizontal one) <em>must </em>be 0.

So, our answers are B and D.

And we're done!

Edit: Some (minor) errors in reasoning. Sorry!

4 0
3 years ago
Read 2 more answers
Name a point that is between 50 and 60 units away from (7,-2) and state the distance between the two points.
laila [671]

Let the required point be (a,b)

The distance of (a,b) from (7,-2) is

= \sqrt{(a-7)^2+(b+2)^2}

But this distance needs to be betweem 50 & 60

So

50

Squaring all sides

2500 < (a-7)² + (b+2)² < 3600

Let a = 7

So we have

2500 < (b+2)² <3600

b+2 < 60    or  b+2 > -60   => b <58 or b > -62

Also

b+2 >50    or b + 2 < -50  => b >48 or B < -52

Let us take one value of b < 58 say b = 50

So now we have the point as (7, 50)

The other point is (7,-2)

Distance between them

= \sqrt{(7-7)^2+(50+2)^2}= \sqrt{(52)^2}=52

This is between 50 & 60

Hence one point which has a distance between 50 & 60 from the point (7,-2) is (7, 50)


6 0
3 years ago
Read 2 more answers
If you help me I will help you just message me
Leviafan [203]

Answer:

i hel32hhfkhf2ehkf e2k fe2kn fkne2 fe2fn3  3 3juur3jke

Step-by-step explanation:

3 0
3 years ago
If a 4-pound roast takes 150 minutes to cook, how long should a five-pound roast take
Ber [7]
188 minutes (rounded) or 187 minutes and 5 seconds 
6 0
3 years ago
Read 2 more answers
Pls help me with this ​
tamaranim1 [39]

Answer:

Step-by-step explanation:

So you start with 5.7 miles which is the first ride and the long ride is 5 2/3 times longer so you multiply 5.7 by 5 2/3. 5.7 is equivalent to 5 7/10 so you multiply 5 7/10 by 5 2/3. If we get common denominators we will end up with 5 21/30 and 5 20/30 then you multiply. You will get 32.3: 32.3 is equivalent to 32 and 3/10. Then you add that to 5 and 7/10. You will get 38.

Answer: 38

3 0
3 years ago
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