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3 years ago

What is the answer to question 41

Mathematics

1 answer:

Nina [5.8K]3 years ago

4 0

Answer:

an = 6 +5(n-1)

an = 1 +5n

Step-by-step explanation:

The equation for an arithmetic term is

an =a1 +d(n-1)

where a1 is the 1st term and d is the common difference

an = 6 +5(n-1)

We can distribute the 5

an = 6+5n-5

an = 1 +5n

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3. Solve the inequality –2(z + 5) + 20 > 6.

12345 [234]

$\boxed{-2\left(z+5\right)+20>6\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:z$

Solution:

Given inequality is:

$-2(z+5)+20>6$

We have to solve the given inequality

$-2\left(z+5\right)+20>6\\\\\mathrm{Subtract\:}20\mathrm{\:from\:both\:sides}\\\\-2\left(z+5\right)+20-20>6-20\\\\\mathrm{Simplify}\\\\-2\left(z+5\right)>-14$

$Multiply\ both\ sides\ by\ -1\ \left(reverse\:the\:inequality\right)$

Whenever we multiply or divide an inequality by a negative number, we must flip the inequality sign

$\left(-2\left(z+5\right)\right)\left(-1\right)$

Thus the solution to inequality is:

$-2\left(z+5\right)+20>6\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:z$

4 0

3 years ago

Write the formula for a function d(x) that describes the distance between the point P and a point (x,y) on the line. You final a

vlabodo [156]

Answer:

d(x) = √[(x - 2)² + (3x - 1)²]

Step-by-step explanation:

The distance between two points with coordinates (x₁, y₁) and (x₂, y₂) is given as

d = √[(x₂ - x₁)² + (y₂ - y₁)²]

So, the distance between point (2,0) and a point (x,y)

d = √[(x - 2)² + (y - 0)²]

d = √[(x - 2)² + (y)²]

But the point (x,y) is on the line y = 3x - 1

We can substitute for y in the distance between points equation.

d(x) = √[(x - 2)² + (3x - 1)²]

QED!

6 0

3 years ago

The line plot shows the weights of packages of meat available at a grocery store. The 3 lightest packages cost $4.40 per pound.

Mnenie [13.5K]

Answer:

$42.40

Step-by-step explanation:

The horizontal axis is in fractions.

The three lightest are two $\frac{5}{8}$ pounds & one $\frac{6}{8}$ pounds. Each cost $4.40 per pound.

So cost = 4.40(5/8+5/8+6/8) = $8.8

Remaining costs 4.80 per pound. We add up the remaining and multiply by 4.80 to get their cost.

cost = $4.80(1+1\frac{1}{8}+1\frac{1}{8}+1\frac{1}{8}+1\frac{2}{8}+1\frac{3}{8})=33.6$

Hence, total cost = 8.8 + 33.6 = $42.40

7 0

3 years ago

If f(x) = 3x – 2 and g(x) = 2x + 1, find (f + g)(x). please help :C

Luba_88 [7]

(f+g)(x) = f(x) + g(x)

(f+g)(x) = 3x-2 + 2x+1

(f+g)(x) = (3x+2x) + (-2+1)

(f+g)(x) = 5x - 1

3 0

3 years ago

Read 2 more answers

50% of the cake Jenny bike last week we're party cakes 1/5 with fruit cakes and the remainder of sponge cakes what percentage of

Alik [6]

100%-1/5(20%)=80%
80%-50%=30%

7 0

3 years ago