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3 years ago

PLEASE ANSWER QUICKLY! Simplify –7(x + 10) + 9(x – 4)

Mathematics

2 answers:

sashaice [31]3 years ago

8 0

Answer:

2x - 106 (or x - 53) i hope this helps! :)

Step-by-step explanation:

-7(x + 10) + 9(x - 4)

you need to distribute the -7 with the x and the 10

-7x - 70 + 9(x - 4)

distribute the 9 with the x and -4

-7x - 70 + 9x - 36

combine like terms first the x values

2x - 70 - 36

combine like terms

2x - 106

i dont remember if you divide both by two or not

x - 53 if so x - 53 is the answer

mr_godi [17]3 years ago

3 0

Answer:

2x-106

Step-by-step explanation:

-7(x+10)+9(x-4)

Expand parentheses:

-7x-70+9x-36

Combine like terms:

2x-106

Hope this helps!

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Tell whether the table of values represents a linear function, an exponential function, or a quadratic funtion

gizmo_the_mogwai [7]

Answer:

Step-by-step explanation:

if it is linear then it will be a straight line(gradient is the same)

if quadratic then curve(gradeint isnt the same)

y=mx+c

m=[y(2)-y(1)]/[x(2)-x(1)]

you can choose any 2 points from the table

m=2-0.4/0-1

m=-1.6

repeat but 2 different coordinates

m=0.4-0.08/-1--2==>-2.24

m=-2.24

different coordinate therefore quadratic

cant be exponential, because nothing is being raised to some power

5 0

2 years ago

Three hikers are dividing the costs of a hiking trip evenly. They bought two permits that cost $15 each, three tram tickets that

cestrela7 [59]

Each hiker owes $41 or 4100 cents for the hiking trip.

Explanation

Cost of each permit is $15. So, the cost of two permits will be: $(\$15*2)= \$30$

Cost of each tram ticket is $19. So, the cost of three tickets will be: $(\$19*3)=\$ 57$

Cost of one can of bear spray is $36.

So, the total cost of the hiking trip $=\$30+\$57+\$36=\$123$

As the three hikers are dividing the total costs of the trip evenly, so each hiker owes $=\frac{\$123}{3}=\$41$ or 4100 cents.

3 0

3 years ago

Greatest to least 2/7, 1/4, 2/9

Stella [2.4K]

1/3; 2/7; 2/9

Lets find least common multiple

The least common multiple is 63

1/3 --> 21/63

2/7 --> 18/63

2/9 --> 14/63

As you can see I am correct, but I found the LCM by multiplying 1/3 by 21 to get to 63 and the numerator as well

7 0

4 years ago

Given the sequence 1/2 ; 4 ; 1/4 ; 7 ; 1/8 ; 10;.. calculate the sum of 50 terms

miv72 [106K]

Hint :-

Break the given sequence into two parts .
Notice the terms at gap of one term beginning from the first term .They are like $\dfrac{1}{2},\dfrac{1}{4},\dfrac{1}{8}$ . Next term is obtained by multiplying half to the previous term .
Notice the terms beginning from 2nd term , $4,7,10,13$ . Next term is obtained by adding 3 to the previous term .

Solution :- 

We need to find out the sum of 50 terms of the given sequence . After splitting the given sequence ,

$\implies S_1 = \dfrac{1}{2},\dfrac{1}{4},\dfrac{1}{8}$ .

We can see that this is in Geometric Progression where 1/2 is the common ratio . Calculating the sum of 25 terms , we have ,

$\implies S_1 = a\dfrac{1-r^n}{1-r} \\\\\implies S_1 = \dfrac{1}{2}\left[ \dfrac{1-\bigg(\dfrac{1}{2}\bigg)^{25}}{1-\dfrac{1}{2}}\right]$

Notice the term $\dfrac{1}{2^{25}}$ will be too small , so we can neglect it and take its approximation as 0 .

$\implies S_1\approx \cancel{ \dfrac{1}{2} } \left[ \dfrac{1-0}{\cancel{\dfrac{1}{2} }}\right]$

$\\\implies \boxed{ S_1 \approx 1 }$

$\rule{200}2$

Now the second sequence is in Arithmetic Progression , with common difference = 3 .

$\implies S_2=\dfrac{n}{2}[2a + (n-1)d]$

Substitute ,

$\implies S_2=\dfrac{25}{2}[2(4) + (25-1)3] =\boxed{ 908}$

Hence sum = 908 + 1 = 909

7 0

3 years ago

What multiplies to 24 but adds to 23

laiz [17]

1 and negative 24 is the answer

4 0

3 years ago

Read 2 more answers