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3 years ago

What characteristic of a parabola can be easily identified when the factored form of a quadratic is given?

Mathematics

1 answer:

Shkiper50 [21]3 years ago

3 0

D) the x intercept as you let each bracket equal to 0 to find the x coordinate

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hich function has a range of {y|y ≤ 5}? f(x) = (x – 4)2 + 5 f(x) = –(x – 4)2 + 5 f(x) = (x – 5)2 + 4 f(x) = –(x – 5)2 + 4

Brums [2.3K]

Answer:

$f(x)=-(x-4)^2+5$

Step-by-step explanation:

The function $f(x)=-(x-4)^2+5$ has the vertex at $(4,5)$ .

Since $a=-1\:$ , the graph of the function is a maximum graph.

The highest y-value is the y-coordinate of the vertex which is 5.

Therefore the range is { $y|y\le 5$ }

Therefore the correct answer is B.

6 0

3 years ago

The cylinder is 20cm high and radius of its circular face is 3cm What is the total perimeter and area of the whole net?

trasher [3.6K]

Answer: $52\ cm,\ 176.55\ cm^2$

Step-by-step explanation:

Given

The cylinder is 20 cm high

The radius of the cylinder is $r=3\ cm$

The total area of the figure is the sum of the rectangle and two circles

$\Rightarrow \text{Perimeter P=}2[h+2r]\\\Rightarrow P=2[20+6]\\\Rightarrow P=52\ cm$

The total area of the figure is

$\Rightarrow \text{Area A=}h\times 2r+2\pi r^2\\\Rightarrow A=20\times 6+2\times \pi \times 3^2\\\Rightarrow A=120+18\pi\\\Rightarrow A=176.55\ cm^2$

3 0

2 years ago

Determine the rate of change for thw graph: $____ per mile

Ira Lisetskai [31]

Answer:

$2 per mile

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Slope Formula: $m=\frac{y_2-y_1}{x_2-x_1}$

Step-by-step explanation:

Step 1: Define

Find points from graph.

Point (2, 5)

Point (4, 9)

Step 2: Find slope m

Substitute: $m=\frac{9-5}{4-2}$
Subtract: $m=\frac{4}{2}$
Divide: $m=2$

5 0

2 years ago

Help me find x it’s really hard

Vilka [71]

Answer:

x = 140

Step-by-step explanation:

180 - 65 - 75= 40

180 - 40 = x

140 = x

3 0

2 years ago

How many students do not like any of the three fruits? 16 17 19 25

alexdok [17]

Answer:

D. 25

Step-by-step explanation:

Total students = 90

Students who like at least one of the fruit:

20 + 16 + 8 + 4 + 5 + 10 + 2 = 66

Number of students do not like any of the fruits:

90 - 65 = 25

4 0

3 years ago