# Two numbers, a and b, are each greater than zero, and 4 times the square root of a is equal to 9 times the cube root of b…

Mike, can you show best way to solve this insane question!? (#38 with Calculator OCT 1, 2022 SAT)

Two numbers, a and b, are each greater than zero, and 4 times the square root of a is equal to 9 times the cube root of b. If a=2/3, for what value of x is a^x equal to b?

# For the given function g, which of the following equivalent forms…

g(x) = 1/5 (5)^(x+4)

For the given function g, which of the following equivalent forms shows the y-coordinate of the y-intercept of the graph of y=g(x) in the xy-plane as a constant or coefficient?

A. g(x) = 125(5)^x

B. g(x) = 25(5)^(x+1)

C. g(x) = 5(5)^(x+2)

D. g(x) = (5)^(x+3)

Choice A is correct, but why?

# Can you work through question 38 on Section 4 of practice test 1? Thanks :)

Can you work through question 38 on Section 4 of practice test 1? Thanks 🙂

# (a^2x) ÷ (a^(x-y)) = a, then y equals : A) -x B) 1 C) x D) x-1 E) 1-x

When you have exponents with the same base and you divide them, you subtract the exponents. So from what we’re given, we know that 2x – (x – y) = 1. We can solve that for y. 2x – (x – y) = 1 2x – x + y = 1 x + y = 1 y = (more…)

# If k is a constant and k<0, how many solutions does the equation sqrt(x+k)=k have?

None. The square root of something will never be negative, so if k < 0, it can’t be all alone on the right side of that equation. from Tumblr https://ift.tt/2Aah6qp

# If k is a constant and k<0, how many solutions does the equation sqrt(x+k)=k have?

None. The square root of something will never be negative, so if k < 0, it can’t be all alone on the right side of that equation. from Tumblr https://ift.tt/2Oaom8A

# Question from March 2018 SAT: section 3 #15

Question from March 2018 SAT: section 3 #15

# The temp T in °C of a chilled drink after the drink has been sitting on a table for m min…

This no-calc prompt is from the Daily Practice app:

The temp T in °C of a chilled drink after the drink has been sitting on a table for m min is represented by T(m) = 32 – 28*3^(-0.05m).

What is the best interpretation of the # 32 in this context?

A. The drink is originally 32°C.
B. Every 32 min, the temperature warms by 3°C.
C. After 32 min, the drink will fully warm to the ambient temp.
D. After the drink has been sitting for a very long time, the temp of the drink will approach 32°C.

# Test 2 Section 3 #7

Test 2 Section 3 #7

# If r>0 and (9r/2)^(1/3) = (1/2) r, what is the value of r?

If r>0 and (9r/2)^(1/3) = (1/2) r, what is the value of r?

# would you please explain #12 in test 5, section 3.

would you please explain #12 in test 5, section 3.

# Can you do Test 2 Section 3 #14? Thanks!

Can you do Test 2 Section 3 #14? Thanks!

# Can you do Test 6 section 4 number 37? I always miss this kind of question!

Can you do Test 6 section 4 number 37? I always miss this kind of question!

# What is the fastest way to do test 5 #14 from the no calculator section?

What is the fastest way to do test 5 #14 from the no calculator section?

# Test 1 Section 3 Number 20

Test 1 Section 3 Number 20