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1 year ago

Represent the following sentence as an algebraic expression, where "a number" is the letter x.A number is subtracted from 2 .

Mathematics

1 answer:

Mariana [72]1 year ago

8 0

In general, the statement 'a is subtracted from b' is written as

$b-a$

Therefore, 'A number is subtracted from 2' is written as,

$2-x$

The answer is 2-x

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what is the equation in slope intercept form of the line that passes through the point (-4,47) and (2,-16)

Vilka [71]

The slope-intercept form:

$y=mx+b$

The formula of a slope:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

We have the points (-4, 47) and (2, -16). Substitute:

$m=\dfrac{-16-47}{2-(-4)}=\dfrac{-63}{6}=-\dfrac{63:3}{6:3}=-\dfrac{21}{2}$

Therefore we have:

$y=-\dfrac{21}{2}x+b$

Put the coordinates of the point (2, -16) to the equation:

$-16=-\dfrac{21}{2}(2)+b\\\\-16=-21+b\qquad\text{add 21 from both sides}\\\\5=b\to b=5$

Answer: $\boxed{y=-\dfrac{21}{2}x+5}$

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3 years ago

The members of a health spa pay annual membership dues of $300 plus a charge of $2 for each visit to the spa. Let Y denote the d

Ganezh [65]

Answer:

Y = 300 + 2X

Y( in dollars)

It is a functional relationship because a change in the value of X results in a corresponding change in the value of Y. And does not involve any uncertainty.

Step-by-step explanation:

Given:

Annual fixed due = $300

Variable cost = $2 per visit

X = number of visits in a year

Y = total yearly cost.

Y = annual cost + variable cost

Y = $300 + $2×X

Y = 300 + 2X

Y( in dollars)

It is a functional relationship because a change in the value of X results in a corresponding change in the value of Y. And does not involve any uncertainty.

8 0

3 years ago

Explain how the sign of a in the equation y=a(x-h)^2 + k tells you whether the parabola has a minimum or maximum value.

Svet_ta [14]

In short, for a vertical parabola, namely one whose independent variable is on the x-axis, usually is x², if the leading term coefficient is negative, the parabola opens downward, and its peak or vertex is at a maximum, check the picture below at the left-hand-side.

and when the leading term coefficient is positive, the parabola opens upwards, with a minimum, check the picture below at the right-hand-side.

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3 years ago

A statistical question is a question that should have different answers. How to recognize a statistical question? • A question i

Alenkasestr [34]

Answer:

yes but no a statistical question is determined by requiring multiple data

Step-by-step explanation:

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3 years ago

Jules kicks a soccer ball off the ground and into the air with an initial velocity of 25 feet

hichkok12 [17]

Answer:

Set up your height equation, then factor or use quadratic formula to find when h(t)=0

Step-by-step explanation:

Your equation will be -16t^2+vt +h where v is the initial velocity and h is the starting height. Now either factor or quadratic equation, whichever is easier for you.

Remember that the ball is on the ground when h(t)=0 since that is the height. There will be two zeros, one is a negative number so would be before you kicked the ball, the other one will be when the ball comes back down.

5 0

3 years ago