At what point will f(x) = 3^x exceed g(x) = 2x + 5 and h(x) = x^2 +4?

On a number line, suppose point E has a coordinate of -4 , and EG = 13. What are the possible coordinates of point G?

Ludmilka [50]

Answer:

9 or -17

Step-by-step explanation:

Hello!

The distance can be positive or negative, as we are just counting the number of units they are apart.

To find the possible coordinates for G, we can add or subtract 13 from -4 to find the possible coordinates for G.

-4 + 13 = G1
-4 - 13 = G2
9 = G1
-17 = G2

The possible coordinates of G are 9 or -17.

7 0

1 year ago

A basketball player shoots a basketball that reaches a height above 15 feet before landing back on the ground exactly after 7 se

Papessa [141]

Answer:

I and IV

Step-by-step explanation:

Since the height of the basketball reaches above 15 feet, hence the maximum of the function should be greater than 15 feet. Also at 7 seconds, the ball is on the ground, hence f(7) = 0 feet

The maximum of a function is at x = -b/2a

i) f(x) = -(x-3)² + 16 = -(x² - 6x + 9) + 16 = -x² + 6x + 7

The maximum of a function is at x = -b/2a = -6 / 2(-1) = 3

f(3) = -(3-3)² + 16 = 16 > 15

Also f(7) = - (7 - 3)² + 16 = 0

Hence this option is correct

ii) f(x) = -x² + 8x - 7

The maximum of a function is at x = -b/2a = -8 / 2(-1) = 4

f(4) = -4² + 8(4) - 7 = 9 < 15 not correct

Also f(7) = - 7² + 8(7) - 7 = 0

Hence this option is not correct since the maximum f(4) = 9 < 15

iii) f(x) = -(x-3)² + 14 = -(x² - 6x + 9) + 14 = -x² + 6x + 5

The maximum of a function is at x = -b/2a = -6 / 2(-1) = 3

f(3) = -(3-3)² + 14 = 14 < 15

Also f(7) = - (7 - 3)² + 14 = -2

Hence this option is not correct since the maximum f(4) = 9 < 15 and f(7) ≠ 0

iv)f(x) = -x² + 6x + 7

The maximum of a function is at x = -b/2a = -6 / 2(-1) = 3

f(3) = -(3)² + 6(3) + 7 = 16 > 15

Also f(7) = - (7)² + 6(7) + 7 = 0

Hence this option is correct

3 0

2 years ago

<img src="https://tex.z-dn.net/?f=%20%5Chuge%20%5Cmathfrak%20%5Cred%7BQuEsTiOn%7D" id="TexFormula1" title=" \huge \mathfrak \red

trapecia [35]

Answer:

1. In number theory, Euclid's lemma is a lemma that captures a fundamental property of prime numbers, namely: Euclid's lemma — If a prime p divides the product ab of two integers a and b, then p must divide at least one of those integers a and b.

2. The Thales theorem states that: If three points A, B, and C lie on the circumference of a circle, whereby the line AC is the diameter of the circle, then the angle ∠ABC is a right angle (90°).

Step-by-step explanation:

hope it helps

3 0

3 years ago

Read 2 more answers

Write the equation of the line in slope intercept form .

12345 [234]

Answer:

Step-by-step explanation:

Points are (0,-2)(3,0)

Slope intercept form is y=2/3x-2

7 0

2 years ago

Need help anyone please

Lorico [155]

Whenever two or more lines intersect at a point, an angle is usually produced. And some of these angles formed may have common properties, and thus be congruent.

The appropriate reasons for the given statements in the question are given below:

STATEMENT REASON

1. <1 ≅ <2 Vertical Angle theorem

2. <1 and <2 are complementary

<2 and <3 are complementary Congruent Complements Theorem

3. <1 and <2 are supplementary

<2 and <3 are supplementary Congruent Supplements

4. <1 and <2 are right angles All Right Angles are Congruent

5. <1 ≅ <2,

<1 and <2 are supplementary If two angles are congruent and

supplementary, then each angle is

a right angle.

For more clarifications on the properties of complementary and supplementary angles, visit: brainly.com/question/14941189

#SPJ1

3 0

1 year ago