All categories

2 years ago

How do I find the domain of f(x)=5x^2+4. When 0<=x<=2 #54

Mathematics

1 answer:

Blizzard [7]2 years ago

4 0

if 0 ≤ x ≤ 2

$0^2\leq x^2\leq 2^2$

Multiplied by 5..... $5×0^2 \leq 5x^2\leq 5×2^2$

add 4 ......... $5×0^2+4 \leq 5x^2+4\leq 5×2^2$ +4

so ........ $4\leq 5x^2+4\leq 24$

You might be interested in

If two lines are perpendicular, which statement must be true? A.The slopes of the two lines are equal. B.The slopes of the two l

dangina [55]

Answer:

Option D is correct that is The Slopes of two lines are negative reciprocals.

Step-by-step explanation:

Perpendicular lines are the lines which intersect each other at right angle or make 90° angle with each other.

we that the Slope of perpendicular lines are equal to -1

Therefore, Option D is correct that is The Slopes of two lines are negative reciprocals.

5 0

3 years ago

Last week, Gina's art teacher mixed 9 pints of red paint with 6 pints of white

kherson [118]

Answer:

Step-by-step explanation:

First mix: 4 pints red and 3 pints white = 7 pints in 4:3 ratio.

Second mix: 5 pints red and 2 pints white = 7 pints in 5:2 ratio

Second music is redder than first mix.

4 0

2 years ago

What is y=x+1<br> y+2x=10

Sunny_sXe [5.5K]

Answer:

listin or read but i will try to help you as much as i can

Step-by-step explanation:

6 0

2 years ago

Read 2 more answers

Given: mAngleTRV = 60° mAngleTRS = (4x)° Prove: x = 30 3 lines are shown. A line with points T, R, W intersects with a line with

zmey [24]

The reason behind the statement m∠TRS + m∠TRV = 180° is; Angle Addition Postulate

<h3>How to use angle addition postulate?</h3>

Angle addition postulate states that if D is the interior of ∠ABC, therefore, the sum of the smaller angles equals the sum of the larger angle, which from the attached image is;

m∠ABD + m∠DBC = m∠ABC.

From the attached image, we want to prove that x = 30°.

Now, T is the interior of straight angle ∠VRS.

m∠VRS = 180° (straight line angle)

Thus, from angle addition postulate, we can say that;

m∠TRS + m∠TRV = 180°.

Read more about two column proofs at;brainly.com/question/1788884

#SPJ1

7 0

1 year ago

At a historical landmark, candles are used to simulate an authentic atmosphere. A volunteer is currently putting new candles in

myrzilka [38]

Answer:

Each small candleholder holds 3 candles, and each large one holds 5 candles.

Step-by-step explanation:

This question can be solved by a system of equations.

I am going to say that:

x is the number of candles that a small candleholder holds.

y is the number of candles that a large candleholder holds.

24 small candle holders and 3 large candle holders, using a total of 87 candles.

This means that

$24x + 3y = 87$

Simplifying by 3

$8x + y = 29$

$y = 29 - 8x$

14 small candle holders and 7 large candle holders, for a total of 77 candles.

This means that $14x + 7y = 77$

Simplifying by 7

$2x + y = 11$

$y = 11 - 2x$

Since $y = 29 - 8x$

$11 - 2x = 29 - 8x$

$6x = 18$

$x = \frac{18}{6}$

$x = 3$

$y = 29 - 8x = 29 - 8*3 = 29 - 24 = 5$

Each small candleholder holds 3 candles, and each large one holds 5 candles.

5 0

2 years ago