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3 years ago

The photo is kinda blurry but I need help fast

Mathematics

2 answers:

Brums [2.3K]3 years ago

8 0

the answer would be the third answer initial value 25 rate of change -5

enyata [817]3 years ago

3 0

To find the rate of change find the difference in the Y values for every X value.

From X 1 to X 3 the Y value changes by -10

-10 / 2 = -5.

The rate of change is -5.

The initial value is when X = 0

When X is 1, the Y value is 20, using the rate of change of -5, this means when X is 0, the Y value would be 25.

The answer would be, the initial value is 25, rate of change is -5

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A frog sits at one end of a table which is 2m long. In its first jump the frog goes a distance of 1m along the table, with its s

Phantasy [73]

Ah, this is an infinite sum question, or a sum of geometric sequence
when will the sum reach 1cm of the edge or about 1.99m
so

2m=200cm
within 1cm means at least 1.99m
so
we will use m and not cm for consitancy

sum of geometric sequence is
$S_n= \frac{a_1(1-r^n)}{1-r}$
a1=first term=initial jjump=1
r=common ratio=1/2
n=?, we ar solving for that

so
we want it to equal 1.99 so

$1.99= \frac{1(1- (\frac{1}{2})^n)}{1-\frac{1}{2}}$
$1.99= \frac{(1- (\frac{1}{2})^n)}{\frac{1}{2}}$
$1.99= 2(1- (\frac{1}{2})^n)$
divide both sides by 2
$\frac{1.99}{2} = 1- (\frac{1}{2})^n$
times -1
$\frac{-1.99}{2} = (\frac{1}{2})^n-1$
add 1 or 2/2 to both sides
$\frac{0.01}{2} = (\frac{1}{2})^n$
take the ln of both sides
$ln(\frac{0.01}{2}) = ln((\frac{1}{2})^n)$
$ln(\frac{0.01}{2}) = n ln(\frac{1}{2})$
divide both sides by ln(1/2)
$\frac{ln(\frac{0.01}{2})}{ln(\frac{1}{2})} =n$
use your calculatro to find that n≈7.64386
so on 7th jump, it is not yet at 1cm to the edge but at 8th jump, it is past
so 8th jump

7 0

3 years ago

Can someone please solve

pentagon [3]

Answer:

Step-by-step explanation:

Evaluate 6 (2 x^2 - 5) where x = -3:

6 (2 x^2 - 5) = 6 (2×(-3)^2 - 5)

Hint: | Evaluate (-3)^2.

(-3)^2 = 9:

6 (2×9 - 5)

Hint: | Multiply 2 and 9 together.

2×9 = 18:

6 (18 - 5)

Hint: | Subtract 5 from 18.

| 1 | 8

- | | 5

| 1 | 3:

6×13

Hint: | Multiply 6 and 13 together.

6×13 = 78:

Answer: 78

7 0

2 years ago

I need answers asappp

aivan3 [116]

Answer:1)5x^2-11x

2) x^2-3x

Step-by-step explanation:

1)(f+g)(x)

f(x)=3x-7

g(x)= 2x-4

[(3x-7)+(2x-4)](x)

3x^2-7x+2x6^2-4x

=5x^2-11x

2) (f-g)(x)

[(3x-7)-(2x-4)](x)

(3x-7-2x+4)(x)

3x^2-7x-2x^2+4x

x^2-3x

4 0

3 years ago

The two-dimensional net of a rectangular prism is shown at the left. What is the prism’s surface area? square units

Tasya [4]

Answer:

28 units²

Step-by-step explanation:

Assume that your net has the dimensions shown below.

Its area is

2 yellow rectangles = 2(4 × 2) = 2 × 8 = 16 units²

2 grey rectangles = 2(4 × 1) = 2 × 4 = 8 units²

2 green rectangles = 2(2 × 1) = 2 × 2 = 4 units²

TOTAL = 28 units²

The prism's surface area is 28 units².

5 0

3 years ago

Read 2 more answers

The algebraic form of an arithmetic sequence is 5n-2 a) What is its common difference?

Alexxandr [17]

Answer:

Step-by-step explanation:

[math]

U_{n} = 5n - 2 \\

Common Difference = U_{n+1} - U_{n} \\

= [5(n + 1) - 2] - [5n - 2] = [5n + 5 - 2] - [5n - 2]\\

= 5n + 5 - 2 - 5n + 2\\

= 5

[/math]

5 0

2 years ago