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tia_tia [17]
3 years ago
9

What function equation is represented by the graph?

Mathematics
2 answers:
jek_recluse [69]3 years ago
4 0
The slope (m) of the line graphed is -4/2, because the line goes down 4 (-4) and over 2 (+2), which is change in y over change in x
m = -4/2 = -2
the y-intercept (b) of the line = -1, because the line crosses the vertical line at x=0 at y=-1
now for the equation:
y = mx + b
y = -2x + -1 = -2x - 1
f(x) = -2x-1
the last answer is correct
Natali5045456 [20]3 years ago
4 0

Answer:

f(x)=−2x−1

Step-by-step explanation:


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Answer:

Volume of cone= π r² h/3

22/7x5x5x6/3

157.08

May be the answer is...... Thank you..... ✧༺♥༻✧

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How to i solve for x in this situation? thank yous.
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3 years ago
The first, third and thirteenth terms of an arithmetic sequence are the first 3 terms of a geometric sequence. If the first term
Salsk061 [2.6K]

Answer:

The first three terms of the geometry sequence would be 1, 5, and 25.

The sum of the first seven terms of the geometric sequence would be 127.

Step-by-step explanation:

<h3>1.</h3>

Let d denote the common difference of the arithmetic sequence.

Let a_1 denote the first term of the arithmetic sequence. The expression for the nth term of this sequence (where n\! is a positive whole number) would be (a_1 + (n - 1)\, d).

The question states that the first term of this arithmetic sequence is a_1 = 1. Hence:

  • The third term of this arithmetic sequence would be a_1 + (3 - 1)\, d = 1 + 2\, d.
  • The thirteenth term of would be a_1 + (13 - 1)\, d = 1 + 12\, d.

The common ratio of a geometric sequence is ratio between consecutive terms of that sequence. Let r denote the ratio of the geometric sequence in this question.

Ratio between the second term and the first term of the geometric sequence:

\displaystyle r = \frac{1 + 2\, d}{1} = 1 + 2\, d.

Ratio between the third term and the second term of the geometric sequence:

\displaystyle r = \frac{1 + 12\, d}{1 + 2\, d}.

Both (1 + 2\, d) and \left(\displaystyle \frac{1 + 12\, d}{1 + 2\, d}\right) are expressions for r, the common ratio of this geometric sequence. Hence, equate these two expressions and solve for d, the common difference of this arithmetic sequence.

\displaystyle 1 + 2\, d = \frac{1 + 12\, d}{1 + 2\, d}.

(1 + 2\, d)^{2} = 1 + 12\, d.

d = 2.

Hence, the first term, the third term, and the thirteenth term of the arithmetic sequence would be 1, (1 + (3 - 1) \times 2) = 5, and (1 + (13 - 1) \times 2) = 25, respectively.

These three terms (1, 5, and 25, respectively) would correspond to the first three terms of the geometric sequence. Hence, the common ratio of this geometric sequence would be r = 25 /5 = 5.

<h3>2.</h3>

Let a_1 and r denote the first term and the common ratio of a geometric sequence. The sum of the first n terms would be:

\displaystyle \frac{a_1 \, \left(1 - r^{n}\right)}{1 - r}.

For the geometric sequence in this question, a_1 = 1 and r = 25 / 5 = 5.

Hence, the sum of the first n = 7 terms of this geometric sequence would be:

\begin{aligned} & \frac{a_1 \, \left(1 - r^{n}\right)}{1 - r}\\ &= \frac{1 \times \left(1 - 2^{7}\right)}{1 - 2} \\ &= \frac{(1 - 128)}{(-1)} = 127 \end{aligned}.

7 0
2 years ago
Jamie and Hudson took a road trip to the beach. Their total distance traveled after getting on the highway can be found using th
lukranit [14]

The total distance is an illustration of a linear function.

<u>(1) Why the relationship is a function</u>

The relationship is a function because all input values of h, have exactly one corresponding output value of d

<u>(2) The function type</u>

The function is a discrete function, because the number of hours is an integer, and it cannot take decimal values (in this case)

<u>(3) The domain for a drive of 8 hours</u>

The domain is the set of time the girls drive.

So, the domain is: [0,8]

<u>(4) The range</u>

The function is given as:

d = 55h +10

When h = 0,

d = 55(0) +10 = 10

When h = 8,

d = 55(8) +10 = 450

So, the range is: [10,450]

<u>(5) The graph</u>

See attachment

<u>(6) The slope</u>

A linear function is represented as:

y = mx + c

Where:

m represents the slope.

So, by comparison:

Slope = 55

The slope in this case represents the distance travelled per hour

<u>(7) The y-intercept</u>

In (6) above, c represents the y-intercept.

So, by comparison:

c = 10

The y-intercept in this case represents the initial distance

Read more about linear functions at

brainly.com/question/15602982

5 0
2 years ago
What is the missing reason in the proof?Given: ∠ABC is a right angle, ∠DBC is a straight angleProve: ∠ABC ≅ ∠ABDdefinition of an
horsena [70]

For a better understanding of the solution provided here please find the relevant diagram drawn as per given information in the file attached.

As given, \angle ABC=90^{\circ}. Also, it is given that \angle DBC is a straight angle. Therefore, \angle DBC=180^{\circ}.

As can be clearly seen from the diagram, if \angle DBC=180^{\circ} and \angle ABC=90^{\circ}, then:

\angle ABD=\angle DBC-\angle ABC=180^{\circ}-90^{\circ}=90^{\circ}

Therefore, \angle ABD\cong\angle ABC

Hence Proved.

7 0
3 years ago
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