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3 years ago

Which algebraic expression is equivalent to the expression below? 2(3 + 5x) + 24 A. 10x - 30 B. 10x + 18 C. 5x + 30 D. 10x + 30

Mathematics

1 answer:

tekilochka [14]3 years ago

6 0

Answer:

10x +30

Step-by-step explanation:

2(3 + 5x) + 24

Distribute

2*3 + 2*5x+24

6+10x+24

Combine like terms

10x +30

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Help math ASAP ASAP math

LenKa [72]

Answer:

y-7=-2/1 (x-1)

Step-by-step explanation:

Hope this helps!

8 0

2 years ago

Write a rule for the nth term of the arithmetic sequence: a11= 50, d = 7

ivolga24 [154]

Answer:

Required rule for $n^{th}$ is $a_{n}=7n-27$ .

Step-by-step explanation:

Given that,

$a_{11} = 50,\ \ d=7$

From the question: we have to write the $n^{th}$ term of Arithmetic sequence.

Arithmetic Sequence or Arithmetic progression (A.P) : It is a sequence which possess that difference between of two successive sequence is always constant.

$a_{1} ,a_{2},a_{3},a_{4}.....................a_{n-1},a_{n}$

where, $a_{1}$ is the first term of A.P

$d$ is the common difference.

$a_{n}$ is the last term or general term.

The above sequence to be in A.P then their common difference should be equal.

$d=a_{2}-a_{1} =a_{3}-a_{2}=a_{4} -a_{3} ..........................a_{n}-a_{n-1}$

Now, Formula of General Term is $a_{n}=a+(n-1)d$

So, $a_{11}= a+(11-1)d\\ a_{11} = a+10d$

Substituting the value of $a_{11} = 50,\ \ d=7$ we get,

$50=a+10\times7\\50=a+70\\a=-20$

Then General term ( $a_{n}$ ) of given data is

$a_{n}=-20+(n-1)7\\a_{n}=-20+7n-7\\a_{n}=7n-27$

Therefore, Required rule for $n^{th}$ is $a_{n}=7n-27$ .

5 0

3 years ago

Determine the rate of change and the initial value of the function,

Contact [7]

F(x) = 3x + 1.....this is the same as y = 3x + 1.

In y = mx + b form, which is what y = 3x + 1 is in, the rate of change (slope) is in the m position and the y int (the initial value) is in the b position.

y = mx + b
y = 3x + 1
ur rate of change (slope)...number in the m position = 3
ur initial value (y int)...number in the b position = 1

so rate of change = 3 and initial value = 1

6 0

3 years ago

I don't understand how to do this one, any help?? Is it a.?

Andreas93 [3]

C, because the equation of the table is y=80x. The equation for the graph is y=45x. When x is 11, you have 880 and 495. The difference is 385.

8 0

3 years ago

Read 2 more answers

Find the height of a triangle with an area of 245 square inches and a base of 14 inchesn

AleksandrR [38]

Answer:

The height is 35 inches

Step-by-step explanation:

The area of a triangle is

A = 1/2 bh

We know the area is 245 and the base is 14

245 = 1/2 (14)*h

245 = 7h

Divide each side by 7

245/7 =7h/7

35 =h

The height is 35 inches

6 0

3 years ago

Read 2 more answers