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2 years ago

Need help asap please

Mathematics

2 answers:

Alika [10]2 years ago

6 0

Answer:

No because it going down

Step-by-step explanation:

liberstina [14]2 years ago

3 0

Answer:

B. No

Step-by-step explanation:

The formula of a number pattern with a common difference is Tn= a +d(n-1), where a is the first term and d is the common difference.

Notice that the numbers decrease by 4 from the previous term. Hence the common difference is -4 in this case.

Tn= 22 -4(n-1)

Tn= 22 -4n +4

Tn= 26 -4n

Let's check to see if the formula is right.

When n=2,

T2= 26 -4(2)

T2= 18

This is correct as the 2nd term in the sequence is 18.

If the number is in the sequence, n would be a whole number since nth term cannot be a fraction/ decimal etc.

When Tn= -204,

-204= 26 -4n

4n= 204 +26

4n= 230

n= 230 ÷4

n= 57.5

Since n is not a whole number, -204 is not in the sequence.

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Which sequence follows the rule an =an–1 + 7?

Akimi4 [234]

Answer:

Step-by-step explanation:

using the rule : $a_{n}$ = $a_{n-1}$ + 7

sequence A with a₁ = 11

a₂ = a₁ + 7 = 11 + 7 = 18

a₃ = a₂ + 7 = 18 + 7 = 25

a₄ = a₃ + 7 = 25 + 7 = 32

sequence A is generated using the rule

sequence B with a₁ = 17

a₂ = a₁ + 7 = 17 + 7 = 24

a₃ = a₂ + 7 = 24 + 7 = 31

a₄ = a₃ + 7 = 31 + 7 = 38

sequence B is not generated using the rule

sequence C with a₁ = - 15

a₂ = - 15 + 7 = - 8

a₃ = a₂ + 7 = - 8 + 7 = - 1

a₄ = a₃ + 7 = - 1 + 7 = 6

sequence C is not generated using the rule

sequence D with a₁ = - 9

a₂ = a₁ + 7 = - 9 + 7 = - 2

a₃ = a₂ + 7 = - 2 + 7 = 5

a₄ = a₃ + 7 = 5 + 7 = 12

sequence D is not generated using the rule

7 0

2 years ago

The equation y=x^3 + 3 is symmetric with respect to which of he following?

lianna [129]

$y = x^{3} +3$

Subtract 3 from both sides,

$y-3=x^{3}$

Let x = X and y - 3 = Y

Then,

$Y = X^{3}$

So, we have shifted the origin to a point (0, 3).

This is an odd function and the graph of an odd function is symmetrical about the origin.

That is, symmetrical about X = 0, Y = 0

Symmetrical about x = 0,, y - 3 = 0

Symmetrical about x = 0, y = 3.

Hence, the graph is symmetrical about the point (0, 3).

3 0

2 years ago

In order for terms to be like terms they must have?

tresset_1 [31]

They must have the same variable with the same exponent. The coefficient doesn't matter much.

4 0

2 years ago

Read 2 more answers

We are standing on the top of a 320 foot tall building and launch a small object upward. The object's vertical altitude, measure

STALIN [3.7K]

Answer:

The highest altitude that the object reaches is 576 feet.

Step-by-step explanation:

The maximum altitude reached by the object can be found by using the first and second derivatives of the given function. (First and Second Derivative Tests). Let be $h(t) = -16\cdot t^{2} + 128\cdot t + 320$ , the first and second derivatives are, respectively:

First Derivative

$h'(t) = -32\cdot t +128$

Second Derivative

$h''(t) = -32$

Then, the First and Second Derivative Test can be performed as follows. Let equalize the first derivative to zero and solve the resultant expression:

$-32\cdot t +128 = 0$

$t = \frac{128}{32}\,s$

$t = 4\,s$ (Critical value)

The second derivative of the second-order polynomial presented above is a constant function and a negative number, which means that critical values leads to an absolute maximum, that is, the highest altitude reached by the object. Then, let is evaluate the function at the critical value:

$h(4\,s) = -16\cdot (4\,s)^{2}+128\cdot (4\,s) +320$

$h(4\,s) = 576\,ft$

The highest altitude that the object reaches is 576 feet.

6 0

3 years ago

For which value of a are the graphs of –4 = 3x + 6y and ax – 8y = 12 parallel? a = –4 a = a = a = 2

anygoal [31]

-4 = 3x + 6y
6y = -3x - 4
y = -1/2x - 2/3.....slope here is -1/2. A parallel line will have the same slope

ax - 8y = 12
-8y = -ax + 12
y = (-a/-8)x + 12......so a would have to be -4 because -(-4) / -8 = -4/8 = -1/2

ur answer is : a = -4

7 0

3 years ago