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m_a_m_a [10]
3 years ago
6

What is -6 +X-3 if x =2? Hurry pls I need an answer!!!!!

Mathematics
1 answer:
pantera1 [17]3 years ago
3 0
Answer is -7

explanation:
-6+x-3
(replace x with 2)
-6+2-3
=-7
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Please help how to solve
tatiyna

Answer:

=  > in \: the \: bigger \: triangle \\ height = 14 \: ft \\ base = 22.5 \: ft \\  =  > in \: smaller \: triangle \\ height = x \: ft \\ base = 9 \: ft \\ using \: ratios \\  \frac{bigger \: height}{smaller \: height}  =  \frac{bigger \: base}{smaller \: base}  \\  \frac{14}{x}  =  \frac{22.5}{9}  \\  \frac{14}{x}  = 2.5 \\ x =  \frac{14}{2.5}  \\ x = 5.6 \: ft

7 0
3 years ago
Work out the formula of the nth term in the following quadratic sequence:<br> 19, 15, 9, 1...
Butoxors [25]

In a quadratic sequence we'll get a linear first difference and a constant second difference.  Let's verify that.

n          1   2   3   4

f(n)       19  15  9   1

1st diff   -4  -6  -8

2nd diff     2   2

We see that we got a constant second difference.  We could just extend that and work back up to get more values.

n          1   2   3   4       5    6      7

f(n)       19  15  9   1      -9   -21   -35

1st diff   -4  -6  -8   -10  -12   -14

2nd diff     2   2    2     2    2

That's just an aside; we're after the general formula.  We have

f(1)=19, f(2)=15, f(3)=9

In general we can assume

f(n) = an²  + bn + c

We get three equations in three unknowns,

19 = a(1²)+b(1)+c = a+b+c

15 = a(2²) + b(2) + c = 4a + 2b + c

9 = a(3²) + b(3) + c =  9a + 3b + c

That's a 3x3 linear system; it's easy to solve directly.  Subtracting pairs,

4 = -3a - b

6 = -5a - b

Subtracting those,

-2 = 2a

a = -1

b = -3a -4 = -1

c = 19-a-b = 21

Answer: f(n) = -n² - n + 21

Check:

f(1) = -1 - 1 + 21 = 19, good

f(2) = -4 - 2 + 21 = 15, good

f(3) = -9 - 3 + 21 = 9, good

f(4) = -16 - 4 + 21 = 1, good

Let's check our extended table, how about

f(7)= -49 - 7 + 21 = -35, good

6 0
3 years ago
If you need 8 oz of chocolate chips to make 1.6 lb of cookie dough how many ounces of chocolate chips will you need to make 7 lb
iren [92.7K]

Answer:

3.5 Oz of chocolate

Step-by-step explanation:

1.6 lb of cookie dough is made from chocolate of 8 Oz

1 lb will be made by 8/ 1.6 = 0.5 Oz of chocolate

Therefore

7lb of cookie dough will be made from 7 * 0.5= 3.5 Oz of chocolate/

6 0
3 years ago
Solve the following system of equations:
Vladimir79 [104]

Answer:

<u><em>(-1,1)</em></u>

Step-by-step explanation:

We can solve this by either graphing and finding ther point the lines intersect, or mathematically,  I'll do both.

<u>Graphing:</u>

<u>Mathematically:</u>

−2x + 4y = 6

y = 2x + 3

See the attached graph.  The lines intersect at (-1,1)

--------------------

I'll rearrange the first equation (to make it easier for me):

−2x + 4y = 6

4y = 2x + 6

y = (1/2)x + 1.5

Now lets substitute the second equation into the first so that we can eliminate y:

y = 2x + 3

[(1/2)x + 1.5] = 2x + 3

- (3/2)x = (3/2)

x = -1

If x = -1:

y = 2(-1) + 3

y = 1

The solution is x = -1 and y = 1, or (-1,1)

=================

Both approaches give us (-1,1), the solution to the system of equations.  It is the only point that satisfies both equations.

3 0
1 year ago
What is the surface area of the regular pyramid given below?
VARVARA [1.3K]
Each trianglar side has an area: (1/2)*8*9=36
the base is a square with an area of 8*8=64
so the total surface area is 36+36+36+36+64=208
5 0
3 years ago
Read 2 more answers
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