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3 years ago

PLEASE HELP 7TH GRADE MATH

Mathematics

1 answer:

Contact [7]3 years ago

5 0

Answer:

Slope=-3/4

Step-by-step explanation:

The slope is the rise/run or y/x

Points given for A are (-4, 3), for B (4, -3)

The formula for slope is m=y^2-y^1/x^2-x^1

https://calcworkshop.com/graphing-linear-equations/slope-formula/

So we'll plug in the information given into the formula.

-4-4/3--3

-8/3+3

-8/6

so our slope is m=-3/4

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pleaseeee help!!! What is the 21st term in the arithmetic sequence in which a3 is 59 and a7 is 103 (enter only the term)

GuDViN [60]

Answer: 257

Step-by-step explanation:

Given that:

a3 = 59

a7 = 103

The nth term of an Arithmetic Progression (A. P) is given by:

an = a1 + (n-1)d

Where a1 = first term of the sequence ;

d = common difference

Therefore a3 = 59 can be represented thus:

a3 = a1 + (3-1)d = 59

a3 = a1 + 2d = 59 - - - - (1)

a7 = 103

a7 = a1 + (7-1)d = 103

a7 = a1 + 6d = 103 - - - - - (2)

Subtracting (2) from (1)

(2d - 6d) = (59 - 103)

-4d = - 44

d = 11

Substitute d= 11 into (1)

a1 + 2d =59

a1 + 2(11) = 59

a1 + 22 = 59

a1 = 59 - 22

a1 = 37

The 21st term:

a21 = a1 + (21 - 1)d

a21 = 37 + 20(11)

37 + 220 = 257

6 0

3 years ago

If x>2, then x^2-x-6/x^2-4=

Viefleur [7K]

Consider the expression $\frac{x^{2} -x-6}{ x^{2} -4}$

To factorize the expression in the denominator we use difference of squares: $x^{2} -4=x^{2} - 2^{2} =(x-2)(x+2)$

To factorize $x^{2} -x-6$ we use the following method:

$x^{2} -x-6=(x-a)(x-b)$

where a, b are 2 numbers such that a+b= -1, the coefficient of x,

and a*b= -6, the constant.

such 2 numbers can be easily checked to be -3 and 2

(-3*2=6, -3+2=-1)

So $x^{2} -x-6=(x-a)(x-b)=(x+3)(x-2)$

$
 \frac{x^{2} -x-6}{ x^{2} -4}= \frac{(x+3)(x-2)}{(x-2)(x+2)}= \frac{x+3}{x+2}$

$\frac{x+3}{x+2}= \frac{x+2+1}{x+2}= \frac{x+2}{x+2}+ \frac{1}{x+2}=1+ \frac{1}{x+2}$

for x>2

$\frac{1}{x+2}\ \textless \ \frac{1}{2+2}= \frac{1}{4}$

thus

for x>2,

$1+ \frac{1}{x+2}\ \textless \ 1+ \frac{1}{4}= \frac{5}{4}$

Answer:

for x>2

$\frac{x^{2} -x-6}{ x^{2} -4} = \frac{x+3}{x+2} \ \textless \ \frac{5}{4}$ , (but the expression is never 0)

8 0

4 years ago

I need a answer to 77.5% of 13.270

den301095 [7]

Answer:

10.28425

Step-by-step explanation:

4 0

3 years ago

What’s the answer for number 5

Paul [167]

Answer:

D. 343 3/4

Step-by-step explanation:

1 inch = 125 miles

There is a distance of 2 3/4 inches

The first thing you would do is double 125, since it is one inch, and 2 inches would another 125. Now you have 250. To get the rest, you would need to divide 125 by 4, getting 31.25. Now since the question needs 3/4 of 125, you multiply 31.25 by 3, which is 93.75. Now add 250, and 93.75. You get 343.75, or 343 3/4

8 0

3 years ago

Ken paid $12 for two magazines. The cost of each magazine was a multiple of $3. What are the possible prices of the magazines?

Arlecino [84]

Wouldn't it be 4 because 12 divided by 3 equals 3

4 0

3 years ago

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