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3 years ago

Solve the equation -4x + 2 = 86

Mathematics

2 answers:

seraphim [82]3 years ago

8 0

Answer: x= -21

Step-by-step explanation:

-4x=86-2

calculate

-4x=84

divide both sides

x=-21

kicyunya [14]3 years ago

7 0

Answer:

x = -21

Step-by-step explanation:

-4x + 2 = 86

subtract 2 on both sides

-4x + 2 - 2 = 86 - 2

-4x = 84

Divide by -4 on both sides to isolate the variable

-4x/-4 = 84/-4

x = -21

We can check it bu using substitution

-4(-21) + 2 = 86

84 + 2 = 86

86 = 86

CORRECT

Hope this helped!

Have a supercalifragilisticexpialidocious day!

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While only 5% of babies have learned to walk but the adage of 10 months, 75% have learned to walk by 13 months of age. If the ag

zheka24 [161]

Answer:

Mean is 12.13 months

Standard deviation is 1.29

Step-by-step explanation:

We need to use z-score here

Let the mean of the distribution be a while the standard deviation be b

Mathematically;

z-score = (x-mean)/SD

We can obtain the probability from the z-score

Now, for the 10th month

The z-score for a probability of P = 0.05(5%)

Can be obtained from the standard normal distribution table and that is;

-1.645

Hence;

-1.645 = (10 - a)/b

-1.645 b = 10 - a

a = 10 + 1.645b ••••••(i)

For the 13 month, we have a proportion of 75%

The z-score corresponding to P(0.75) is = 0.674 from standard normal distribution table

Hence;

0.674 = (13-a)/b

0.674b = 13 - a

a = 13 - 0.674b. •••••(ii)

Now equate both a;

10 + 1.645b = 13 - 0.674b

13-10 = 1.645 b+ 0.674b

3 = 2.319b

b = 3/2.319

b = 1.294

So the mean a will be

10 + 1.645b = 10 + 1.645(1.294) = 10 + 2.13

So mean is 12.13

7 0

4 years ago

Fill in the missing amounts in the balance sheet after the following transactions.

AURORKA [14]

Answer:

Cash- $3,325.00

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Accounts payable- $155.00

Owners Equity- $3,670.00

Total- $3,825.00

6 0

3 years ago

The backyard is 20 inches long and 37 inches wide. What is the area of the backyard.

gizmo_the_mogwai [7]

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$\diamond\large\textsf{\textbf{\underline{Given\:question:-}}}$

The backyard is 20 inches long and 37 inches wide. What is the area of the backyard?

$\diamond\large\textsf{\textbf{\underline{\underline{Answer and how to solve:-}}}}$

We are given the backyard's length (20 inches long) and the backyard's width (37 inches wide).

We are asked to find the area of the backyard, which can be found using the following formula:-

$\boxed{\bold{A_{(rectangle)}=LW}}$

<u>Where:-</u>

<u></u>

A=Area of rectangle
L=Length (20 inches)
W=Width (37 inches)

Substitute the values:-

$\boxed{\bold{A=20*37}}$

On simplification,

✳︎ $\boxed{\bold{A=740\:in^2}}$ , which is our final answer.

<h3> Good luck with your studies.</h3>

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5 0

2 years ago

Read 2 more answers

Graphing Exponential Function in Exercise ,sketch the graph of the function.See example 3 and 4.

OLga [1]

Answer:

The black curve is the graph for given function.

Step-by-step explanation:

We are given the following function in the question:

$f(x) = 4^{x}$

We have to graph this function.

Properties of function:

The given function is an exponential function of the form $f(x) = b^x$ , where b is the base and x can be any real number.
Here, $b = 4$
It passes through the point (0,1).
Since $b > 1$ , the graph of function will will increase as we move from left to right.
The domain for given function is all real numbers.
The range for the given function is $(0,\infty)$