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rjkz [21]
3 years ago
6

How do you do the problem a(b+c+1)

Mathematics
1 answer:
Harrizon [31]3 years ago
3 0
Use the distributive property, so do ab + ac + a(1) = ab + ac + a. Then substitute your values for a, b, and c to find the answer
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Choose the table that represents g(x) = −2⋅f(x) when f(x) = x + 4
fomenos

Answer:

  x g(x)

  1 −10

  2 −12

  3 −14

Step-by-step explanation:

Substitute the values and do the arithmetic.

Table values for x are 1, 2, 3. We only need to find g(1) to determine which table is the correct choice.

  f(1) = 1 +4 = 5 . . . . . . . . . put 1 where x is and do the arithmetic

 g(1) = -2·f(1) = -2·5 = -10 . . . . . matches the 3rd choice

6 0
3 years ago
If 32^2c= 8^c+7, what is the value of c
Leona [35]

\bf 32^{2c}=8^{c+7}~~ \begin{cases} 32=2\cdot 2\cdot 2\cdot 2\cdot 2\\ \qquad 2^5\\ 8=2\cdot 2\cdot 2\\ \qquad 2^3 \end{cases}\implies (2^5)^{2c}=(2^3)^{c+7} \\\\\\ 2^{5(2c)}=2^{3(c+7)}\implies \stackrel{\textit{if the bases are the same, then so are the exponents}}{5(2c)=3(c+7)\implies 10c=3c+21} \\\\\\ 7c=21\implies c=\cfrac{21}{7}\implies c=3

3 0
3 years ago
Read 2 more answers
The two shorter sides of a triangle are the same length. The length of the longer side is 5 m longer than each of the shorter si
Novosadov [1.4K]
Here's my answer! :)

6 0
3 years ago
A rectangular garden is extended 4% on the long sides and 8% on the short sides. To the nearest hundredth of a percent, by what
liq [111]

Answer: 12.32%

Step-by-step explanation:

1. x is the original long side and y is the original short side.

2. The area of the original rectangle is xy.

3. The rectangle is extended 4% on the long sides and 8% on the short sides. therefore, the new long side is:

\frac{104}{100}x=\frac{26}{25}x

4. And the new short side is:

\frac{108}{100}y=\frac{27}{25}y

5. The new area is:

(\frac{26}{25}x)(\frac{27}{25}y)=\frac{702}{625}xy

6. The percentage of increase is calculated by substracting the new area and the original area:

\frac{702}{625}xy-xy=0.1232xy

7. The result is:

(0.1232)(100)=12.32%

3 0
3 years ago
1/3 times what equals -1
Gekata [30.6K]

Answer:

0.333333+

Step-by-step explanation:

5 0
3 years ago
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