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egoroff_w [7]
3 years ago
15

What is the standard form of y=(x-4)^2-6

Mathematics
1 answer:
Ahat [919]3 years ago
8 0

Answer:

standard form : 2x + y = -2

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The ratio of Sam's age to Hank's age is 5 to 3. If the sum of their ages is 24, how old is Hank?
posledela
S-Sam's\ age\\H-Hank's\ age\\\\  \left\{\begin{array}{ccc}\frac{S}{H}=\frac{5}{3}\\S+H=24&\to S=24-H\end{array}\right\\\\substitute\ S=24-H\ to\ \frac{S}{H}=\frac{5}{3}\\\\\frac{24-H}{H}=\frac{5}{3}\\\\cross\ multiply\\\\5H=3(24-H)\\5H=72-3H\\5H+3H=72\\8H=72\ \ \ /:8\\H=9\\\\Answer:Hank\ is\ 9\ years\ old.
7 0
3 years ago
Activity
Ierofanga [76]

Answer:

p=0.25

Step-by-step explanation:

Given that a club can select one member to attend a conference. All of the club officers want to attend. There are a total of four officers, and their designated positions within the club are President (P), Vice dash President (Upper V )comma Secretary (Upper S )comma nbspand Treasurer (Upper T ).

Sample space would be

a){ {P}, {V}, {S} {T}} is the sample space with notations standing for as given in the question

b) Each sample is equally likely. Hence we have equal chances for selecting any one out of the four.

If probability of selecting a particular sample of size I is p, the by total probability axiom we have

\begin{gathered}4p =1\\p =0.25\end{gathered}

4p=1

7 0
2 years ago
Select the correct answer. A linear function has a y-intercept of -12 and a slope of 3/2. What is the equation of the line? y =
aniked [119]

Answer:

The equation of the line is:

  • y\:=\:\frac{3}{2}x\:-12

Step-by-step explanation:

The slope-intercept form of the line equation

y = mx+b

where

  • m is the slope
  • b is the y-intercept

Given

  • y-intercept b = -12
  • slope m = 3/2

now substituting b = -12 and m = 3/2 in the slope-intercept form of line equation

y = mx+b

y\:=\:\frac{3}{2}x\:+\:\left(-12\right)

y\:=\:\frac{3}{2}x\:-12

Therefore, the equation of the line is:

  • y\:=\:\frac{3}{2}x\:-12
8 0
2 years ago
La banqueta que rodea un jardín rectangular es de 4 metros de ancho. El jardín tiene
mylen [45]

Answer:

jbhbchbhvbbhcbrhfbcbhshshbhsvhbhv;b;rvbhbhcrbihcbhc

Step-by-step explanation:

3 0
3 years ago
The length of one side of an ice cube is 2.5 cm. Calculate the volume of the ice cube.​
pogonyaev

Answer:

15.63 cm^3

Step-by-step explanation:

Assuming that the ice cube is a perfect cube, then all of the sides are equal. There for, each side is 2.5 cm.

v = l*w*h

v = 2.5 * 2.5 * 2.5

v = 6.25 * 2.5

v = 15.625 cm^3

6 0
1 year ago
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