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2 years ago

a given parabola has an x-intercept at (12,0), and a vertex at (2,-25). What would be the other x-intercept.

1 answer:

5 0

The other x-intercept is located at (-8,0). This is because the vertex is ALWAYS the midpoint between the two x-intercepts. The x coordinate of the vertex is 2. The distance between the vertex and the known x-intercept is 10 units. So go 10 units to the left now, which lands at x = -8

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The sum of two consecutive numbers is 71. Find the smallest number in the list

bazaltina [42]

35+36=71
35 is the answer

5 0

3 years ago

Sydney’s teacher says she may have her report card percentage based on either the mean or the median and she can drop one test s

svet-max [94.6K]

Answer:

Sydney should choose the median after dropping one test score.

Step-by-step explanation:

7 0

2 years ago

Given: the function defined by f(x)=3x^2-4 Which statement is true? 1. f(0) = 0 2. f(-2) = f(2) 3. f(5)+ f(2) = f(7) 4. f(5) x f

sergeinik [125]

$f(x)=3x^2-4 \\ \Downarrow \\ f(0)=3 \times 0^2-4=0-4=-4 \\ -4 \not= 0 \\ f(0) \not= 0 \\
\hbox{statement 1 is false} \\ \\
f(-2)=3 \times (-2)^2-4 =3 \times 4-4=12-4=8 \\
f(2)=3 \times 2^2-4=3 \times 4-4=12-4=8 \\ 8=8
\\ f(-2)=f(2) \\
\hbox{statement 2 is true}$

$f(5)=3 \times 5^2-4=3 \times 25-4=75-4=71 \\ f(2)=8 \\
f(7)=3 \times 7^2-4=3 \times 49-4=147-4=143 \\
71+8 \not= 143 \\
f(5)+f(2) \not= f(7) \\ \hbox{statement 3 is false} \\ \\
f(5)=71 \\ f(2)=8 \\ f(10)=3 \times 10^2-4=3 \times 100-4=300-4=296 \\
71 \times 8 \not= 296 \\
f(5) \times f(2) \not= f(10) \\
\hbox{statement 4 is false}$

Stamement 2. f(-2)=f(2) is true.

3 0

2 years ago

The measurement of the three interior angles of a quadrilaterals are: 85 °, 54 ° and 96 °, what is the measurement of the fourth

Diano4ka-milaya [45]

<h2><u>Question</u>:-</h2>

The measurement of the three interior angles of a quadrilaterals are: 85 °, 54 ° and 96 °, what is the measurement of the fourth angle?

<h2><u>Answer</u>:-</h2>

<h3>Given:-</h3>

The measurement of the three interior angles of a quadrilaterals are: 85 °, 54 ° and 96 °

The measurement of the fourth angle.

<h2>Solution:-</h2>

By angle sum property of a quadrilateral,

Sum of all the interior angles = 360 °

So, let the fourth angle be x

$\therefore$ 85 ° + 54 ° + 96 ° + x = 360 °

$\therefore$ 235 ° + x = 360 °

$\therefore$ x = 360 ° - 235 ° = 125 °

<h3>The measurement of the fourth angle is <u>1</u><u>2</u><u>5</u><u> </u><u>°</u>. [Answer]</h3>

3 0

2 years ago

Suppose that two players, R and C, write down letters of the alphabet. If both write vowels or both write consonants, then th

vladimir2022 [97]

Answer:

-0.075

Step-by-step explanation:

[Player R, Player C] cases & outcomes :-

(Vowel, Vowel) = (0,0)
(Consonant, Consonant) = (0,0)
(Vowel, Consonant) = (6,-6)
(Consonant, Vowel) = (-5,5)

Prob (R chooses consonant) = 75% = 0.75
Prob (R chooses vowel) = 1 - 0.75 = 0.25
Prob (C chooses vowel) = 30% = 0.30
Prob (C chooses consonant) = 1 - 0.30 = 0.70

Average Loss of R = Expected value of : he choses consonant & C choses vowel; he chooses vowel & C choses consonant

= (0.75)(0.30)(-5) + (0.25)(0.70)(6)

-1.125 + 1.05

= -0.075

5 0

3 years ago