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Zanzabum
3 years ago
7

Use the distributive property to rewrite the expressions. 1. 4(3x-5) 2. a(11+2b)

Mathematics
2 answers:
gayaneshka [121]3 years ago
5 0
12x-20
11a+2ab
That’s the answer
Nadusha1986 [10]3 years ago
4 0

Answer:

1. 12x - 20

2. 11a + 2ab

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Write an equation for the line in point-slope and slope-intercept forms.
nikdorinn [45]

Answer: It should be -(x - 2)

Step-by-step explanation:

the reason is this right here

y - y1 = m(x - x1)

y1 = 4

x1 = 2

m = -1

y - 4 = -(x - 2)

4 0
2 years ago
Read 2 more answers
Find S12 for geometric series: (-7.5) + 15 + (-30) + ...
kolezko [41]

Answer:

S12 for geometric series: (-7.5) + 15 + (-30) + ... would be: 10237.5

Step-by-step explanation:

Given the sequence to find the sum up-to 12 terms

(-7.5) + 15 + (-30) + ...

As we know that

A geometric sequence has a constant ratio 'r' and is defined by

a_n=a_1\cdot r^{n-1}

\mathrm{Compute\:the\:ratios\:of\:all\:the\:adjacent\:terms}:\quad \:r=\frac{a_{n+1}}{a_n}

\frac{15}{\left(-7.5\right)}=-2,\:\quad \frac{\left(-30\right)}{15}=-2

\mathrm{The\:ratio\:of\:all\:the\:adjacent\:terms\:is\:the\:same\:and\:equal\:to}

r=-2

\mathrm{The\:first\:element\:of\:the\:sequence\:is}

a_1=\left(-7.5\right)

a_n=a_1\cdot r^{n-1}

\mathrm{Therefore,\:the\:}n\mathrm{th\:term\:is\:computed\:by}\:

a_n=\left(-7.5\right)\left(-2\right)^{n-1}

a_n=-\left(-2\right)^{n-1}\cdot \:7.5

\mathrm{Geometric\:sequence\:sum\:formula:}

a_1\frac{1-r^n}{1-r}

\mathrm{Plug\:in\:the\:values:}

n=12,\:\spacea_1=\left(-7.5\right),\:\spacer=-2

  =\left(-7.5\right)\frac{1-\left(-2\right)^{12}}{1-\left(-2\right)}

  =-7.5\cdot \frac{1-\left(-2\right)^{12}}{1+2}

\mathrm{Multiply\:fractions}:\quad \:a\cdot \frac{b}{c}=\frac{a\:\cdot \:b}{c}

  =-\frac{-30712.5}{1+2}          ∵  \left(1-\left(-2\right)^{12}\right)\cdot \:7.5=-30712.5

 =-\frac{-30712.5}{3}

 =\frac{30712.5}{3}

 =10237.5

Thus, S12 for geometric series: (-7.5) + 15 + (-30) + ... would be: 10237.5        

5 0
3 years ago
Choose all of the expressions that are equal to 61. |−61| the opposite of −61 the opposite of 61 the distance from zero to −61 −
igomit [66]

Step-by-step explanation:

We need to choose all the expressions that are equal to 61.

(i) |−61| : It is true. Modulus of any negative number gives positive number. |-61|=61.

(ii) The opposite of −61 ; It is true. Opposite of negative is positive.

(iii) The opposite of 61 : It is false. The opposite of 61 gives -61.

(iv) distance from zero to −61 : It is true. Distance is positive always.

(v) −|61| : False. It remains negative.

(vi) −|−61| : False. It remains negative.

(vii) -(-61) : True. Double negative makes positive .

Hence, the correct options are : (i), (ii), (iv), (vii).

8 0
3 years ago
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bill is in a class of 50 students. 40% of the students in the class does not take the bus to school. how many students do not ta
Mrrafil [7]

Answer:

20 students

Step-by-step explanation:

We must find 40% of 50. To do so, calculate 50 * .4 or 50 * 1/4.

4 0
3 years ago
This math problem makes me wanna kym
jek_recluse [69]

Answer:

-5-1/4

Step-by-step explanation:

7 0
2 years ago
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