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anyanavicka [17]
2 years ago
12

Write an equivalent expression to 2x + 3 + 5(x+ 6) by combining like terms

Mathematics
1 answer:
cestrela7 [59]2 years ago
8 0

Answer:

7x + 33

Step-by-step explanation:

Distribute the multiplication in the last term:  5(x + 6) becomes 5x + 30.  Then,  2x + 3 + 5(x+ 6) becomes 2x + 3 + 5x + 30.  2x and 5x are 'like terms' and add up to 7x; 3 and 30 are also like terms of a different type (constants) and add up to 33.  

Thus we have the equivalent, simpler expression 7x + 33.

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Reduce to simplest form. -3/5 + (-8/2) =
Dominik [7]

Answer:

<u>The answer is -4 3/5</u>

Step-by-step explanation:

Let's reduce to its simplest form:

-3/5 + (-8/2) =

Step 1: Lowest Common Denominator (10):

- 6/10 + (-40/10) =

Step 2: Solve the parentheses:

- 6/10 - 40/10 =

Step 3: Subtract the fractions:

-46/10

Step 4: Simplify (Dividing by 2):

-23/5

Step 5: Converting the fraction to mixed number:

-4 3/5

<u>The answer is -4 3/5</u>

3 0
3 years ago
The graph of y=ax^2+bx+c passes through points (0,5), (1,10), and (2,19). Find a+b+c.
nataly862011 [7]

Answer:   a = 2   b = 3   c = 5  

Literally a+ b+c = 10, but I don't think that's what the question means to ask.

the equation is 2x² +3x + 5

Step-by-step explanation:   Substitute the values of the given coordinates into the formula and use algebra (solve a system of equations by substitution and elimination) to get the values  of a,b & c

y=ax²+bx+c    using  (0,5), (1,10), and (2,19)

5=a(0)²+b(0)+c   becomes 5= 0+0 + c .so we find c = 5

10=a(1)²+b(1)+c    becomes 10 = a + b + c

19=a(2)²+b(2)+c .  becomes 19 = 4a + 2b + c

Substitute the 5 for c.  Then rewrite

10 = a + b + 5      becomes     5 = a+ b     to eliminate b multiply this be (-2)

(-2)( 5 = a+ b) .to get -10 = -2a - 2b  

19 = 4a + 2b + 5  becomes   14 = 4a + 2b  

_______________  Add these two

14 = 4a + 2b

<u>-10 = -2a - 2b</u><u> </u>    this will eliminate the "b" term

4 = 2a       divide both sides by 2   so you have   a = 2  

substitute in 10=a(1)²+b(1)+5 to find b

10=2(1)²+b(1)+5 .becomes  5 = 2 + b   Subtract 2 from both sides

b = 3

So now you have all three values:  

a = 2  b= 3  c = 5  

I am attaching the graph. I hope this deserves Brainiest.

Best wishes in your studies!

4 0
3 years ago
Which expression are equivalent to 4+4x+2y+x-y)?
In-s [12.5K]

Answer:

The answer to that is 5x+y+4 but the equivalent is

4(3x + y) and 12x + 4y

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
What is the scale factor of triangle ABC to DEF ?
bekas [8.4K]

Answer:  The correct option is (A). 3.

Step-by-step explanation:  We are given to find the scale factor of dilation from ΔABC to ΔDEF.

As shown in the figure, the lengths of the sides of ΔABC to ΔDEF are

AB = 5 units, BC = 4 units, CA = 3 units,

DE = 15 units, EF = 12 units, FD = 9 units.

We know that the scale factor is given by

S=\dfrac{\textup{length of a side of the dilated figure}}{\textup{length of the corresponding side of the original figure}}.

Therefore, the scale factor of dilation from from ΔABC to ΔDEF is

S=\dfrac{DE}{AB}=\dfrac{15}{5}=3.

Thus, the required scale factor is 3.

Option (A) is correct.

8 0
3 years ago
Read 2 more answers
If g(x)=3x-2, find g(8)-g(5)
finlep [7]

Answer:

g(x)=3x-2

g(8)=3×8-2

=22

g(5)= 3×5-2

=13

g(8)-g(5)= 22-13=9

5 0
2 years ago
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