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Brilliant_brown [7]
2 years ago
6

How do I solve the following equation

Mathematics
2 answers:
nalin [4]2 years ago
7 0

Answer:

z = 72

Step-by-step explanation:

-1/4z + 12 = -6

× 4

-z + 48 = - 24

-z = - 72

z = 72

Tatiana [17]2 years ago
4 0
-6-12=-1/4z
-18=-1/4z
Z=-18/-./25
Z=72

Plz check it
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Lg(5x+10)+2lg3=1+lg(4x+12)<br>need them fast with steps
pashok25 [27]

Answer:

x=6

Step-by-step explanation:

log(5x+10)-log(4x+12)=1-2log(3)

log(5x+10/4x+12)=1-2log(3)

log(5x+10/4x+12)=log(10)+log(3^-2)

log(5x+10/4x+12)=log(10×3^-2)

log(5x+10/4x+12)=log(10×1/9)

log(5x+10/4x+12)=log(10/9)

5x+10/4x+12=10/9

9(5x+10)=(4x+12)10

45x+90=40x+120

5x=30

x=6

if you like my answer. Please mark me as brainliest

5 0
3 years ago
Luis rides his bicycle 3/4 mile in 15 minutes, or 1/4 hour, along the bike trail. Assuming he rides at a constant rate, what is
Oksi-84 [34.3K]
The answer would be 3mph because 3/4 / 1/4 = 3. So the answer would be 3mph.
7 0
3 years ago
Read 2 more answers
Consider the following proability density function: f(x) = { kx. 0&lt;= x&lt; 2, k(4-x). 2&lt;= x &lt;=4, 0. otherwise. find the
Gnesinka [82]

The value of K for which f(x) is a valid probability density function is 1/4.

<h3>How to solve for the value of K</h3>

\int\limits^4_0 {fx(x)} \, dx =1

\int\limits^2_0 {Kx} \, dx +\int\limits^4_2 {K(4-x)} \, dx =1

K[\frac{2^2}{2} -0]+[K[4(4-2)-(\frac{4^2}{2} -\frac{2^2}{2} )]=1

open the equation

K\frac{4}{2}+K[8 - (\frac{16}{2}  -\frac{4}{2} )] = 1\\

2K+K[\frac{4}{2} ]=1

2K + 2K = 1

4K = 1

divide through by 4

K = 1/4

Read more on probability density function here

brainly.com/question/15714810

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4 0
1 year ago
A man invests his savings in two accounts, one paying 6% and the other paying 10% simple interest per year. He puts twice as muc
Masteriza [31]

Let x represent amount invested in the higher-yielding account.

We have been given that a man puts twice as much in the lower-yielding account because it is less risky. So amount invested in the lower-yielding account would be 2x.

We are also told that his annual interest is $6600 dollars. We know that annual interest for one year will be principal amount times interest rate.

I=Prt, where,

I = Amount of interest,

P = Principal amount,

r = Annual interest rate in decimal form,

t = Time in years.

We are told that interest rates are 6% and 10%.

6\%=\frac{6}{100}=0.06

10\%=\frac{10}{100}=0.10

Amount of interest earned from lower-yielding account: 2x(0.06)=0.12x.

Amount of interest earned from higher-yielding account: x(0.10)=0.10x.

0.12x+0.10x=6600

Let us solve for x.

0.22x=6600

\frac{0.22x}{0.22}=\frac{6600}{0.22}

x=30,000

Therefore, the man invested $30,000 at 10%.

Amount invested in the lower-yielding account would be 2x\Rightarrow 2(30,000)=60,000.

Therefore, the man invested $60,000 at 6%.

8 0
3 years ago
Se
Musya8 [376]

Answer:

No, this is not a right triangle.

4 0
3 years ago
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