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8_murik_8 [283]
2 years ago
14

Find the axis of symmetry, vertex and y - intercept of the function

Mathematics
1 answer:
Inessa [10]2 years ago
3 0

Answer:

see explanation

Step-by-step explanation:

The axis of symmetry is a vertical line with equation x = c

Where c is the x- coordinate of the turning point, that is

x = - 1

The coordinates of the vertex, the turning point are (- 1, - 6 )

The y- intercept is where the graph crosses the y- axis , that is

y- intercept = - 3

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Find the perimeter of the sector of a circle of radius 14cm with an angle of 72 degree
Alika [10]

Answer:

the area sector is 123.2

7 0
3 years ago
Consider the sequence of numbers: 3/8, 3/4, 1 /18, 1 1/2, 1 7/8
vredina [299]

Question:

Consider the sequence of numbers: \frac{3}{8}, \frac{3}{4}, 1\frac{1}{8}, 1\frac{1}{2}, 1\frac{7}{8}

Which statement is a description of the sequence?

(A) The sequence is recursive, where each term is 1/4 greater than its preceding term.

(B) The sequence is recursive and can be represented by the function

f(n + 1) = f(n) + 3/8 .

(C) The sequence is arithmetic, where each pair of terms has a constant difference of 3/4 .

(D) The sequence is arithmetic and can be represented by the function

f(n + 1) = f(n)3/8.

Answer:

Option B:

The sequence is recursive and can be represented by the function

f(n + 1) = f(n) + \frac{3}{8}  .

Explanation:

A sequence of numbers are

\frac{3}{8}, \frac{3}{4}, 1\frac{1}{8}, 1\frac{1}{2}, 1\frac{7}{8}

Let us first change mixed fraction into improper fraction.

\frac{3}{8}, \frac{3}{4}, \frac{9}{8}, \frac{3}{2}, \frac{15}{8}

To find the pattern of the sequence.

To find the common difference between the sequence of numbers.

\frac{3}{4}-\frac{3}{8}=\frac{6}{8}-\frac{3}{8}= \frac{3}{8}

\frac{9}{8}-\frac{3}{4}=\frac{9}{8}-\frac{6}{8}= \frac{3}{8}

\frac{3}{2}-\frac{9}{8}=\frac{12}{8}-\frac{9}{8}= \frac{3}{8}

\frac{15}{8}-\frac{3}{2}=\frac{15}{8}-\frac{12}{8}= \frac{3}{8}

Therefore, the common difference of the sequence is 3.

That means each term is obtained by adding \frac{3}{8} to the previous term.

Hence, the sequence is recursive and can be represented by the function f(n + 1) = f(n) + \frac{3}{8}  .

3 0
2 years ago
Simplify the expression 3(9+4x−5). <br><br> ill give brainlist
Mazyrski [523]
12x+12 step by step below

6 0
2 years ago
What is the solution for -10 &lt; x - 9?
ikadub [295]
ANSWER:

x > - 1

STEP-BY-STEP EXPLANATION:

- 10 < x - 9

x - 9 > - 10

x > - 10 + 9

x > - 1
6 0
3 years ago
What is the value of R, what is the value of EF
yarga [219]
9r - 6 = 8r + 3
r = 9
EF = 4r + 19 = 4(9) + 19 = 36 + 19 = 55

hope it helps
4 0
3 years ago
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