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erica [24]
3 years ago
8

How to find the slope of (0,7) and (5,9)?

Mathematics
1 answer:
bekas [8.4K]3 years ago
5 0

Answer:

The slope is 2/5 (0.4).

Step-by-step explanation:

The formula for finding a slope is m = (yB - yA)/(xB - xA). That equation becomes:

m = (9 - 7)/(5 - 0)

Subtract 7 from 9 to get 2.

m = 2/(5 - 0)

Any number subtracted by 0 equals itself.

m = 2/5, or 0.4 is the final answer.

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Which formula can be used to describe the sequence?
mafiozo [28]

Answer:

The formula  that can be used to describe the given  sequence is f(x)=-4(6)^{x-1}

Step-by-step explanation:

Given : sequence -4,  −24, −144,...

We have to find the formula that can be used to describe the given sequence  -4,  −24, −144,...

A geometric sequence is a sequence in which each higher term is multiplied by a constant number called common ratio.

Written as a, ar , ar², ar³., ....

and general term is calculated as a_n=ar^{n-1}

Where a is first term and r is common ratio.

Consider the given sequence  -4,  −24, −144,...

We find the common ratio ,

a=-4, \\\\ar=-24,\\\\\ ar^2=-144

Thus, common ratio is given as r=\frac{ar}{r}=\frac{-24}{-4}=6

Thus, the given sequence is a geometric sequence.

The general term is given by a_n=ar^{n-1}

Put a = -4 , r = 6

We have

a_n=-4(6)^{n-1}

Thus, the formula  that can be used to describe the given  sequence is f(x)=-4(6)^{x-1}

5 0
3 years ago
Read 2 more answers
Which is the most reasonable estimate for the sum 61.92+174.8
Anna11 [10]
62+175=237
check:
61.92+174.8=236.72
pretty close so 237 is your estimation
5 0
3 years ago
Khianna wants to make a batch of her Grandma chocolate chip cookies from a friend. The recipe is shown on the recipe card below
Mademuasel [1]
She has 9/8 cups of brown sugar as a fraction.  As a decimal, which is easier to work with here, it is 1.125.  She needs 1.5 cups.  If we set this up as a proportion, we can figure out how many cookies she can make meeting the restriction of brown sugar, and then scale the other ingredients down accordingly.  To figure the number of cookies, our proportion will have brown sugar on top and number of cookies on bottom.  What we are looking for is the number of cookies she can make with 1.125 cups of brown sugar when she can make 24 with 1.5 cups of brown sugar.  \frac{1.5}{24}= \frac{1.125}{x}.  Cross multiply to get 1.5x = 27 and x = 18.  She can make 18 cookies.  Now let's backtrack to the ingredients based on the number of cookies we can make.  Set each ingredient up in a proportion with the ingredient on top and the number of cookies on the bottom.  First ingredient you want is flour.  2.25 cups of flour make 24 cookies and we need to find out how much flour will we need to make 18 cookies.  \frac{2.25}{24}= \frac{x}{18}.  Cross multiply to get 24x = 40.5 which simplifies to x = 27/16 or 1 11/16 cups of flour.  Do all the ingredients in the same way and you'll be fine!
4 0
3 years ago
What is the value of x in the product of powers below? 6^9 6^x=6^2 -11 -7 11 7
Elodia [21]

Answer:

x = - 7

Step-by-step explanation:

Using the rule of exponents

a^{m} × a^{n} = a^{(m+n)}

Given

6^{9} × 6^{x} = 6², then

6^{(9+x)} = 6²

Since the bases on both sides are equal then equate the exponents

9 + x = 2 ( subtract 9 from both sides )

x = - 7

8 0
3 years ago
Read 2 more answers
What is -1/5 + 7/10 equal
monitta
0.5

Explanation—

So when u do 1/5 + 7/10 u get 0.9 and then when u work out the - u get 0.5

Hope this helped




8 0
3 years ago
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