What is the vertex of the following quadratic equation?
y = 7(x + 5)2 + 4

A. (5,4)
B. (-4,5)
C.(-5, 4)
D. (7,-4)

Answer:

x = 7/3 or 2.33

Step-by-step explanation:

x3 + 1 = 8

x3 = 8 - 1

x3 = 7

x = 7/3 or 2.33

HOPE THIS HELPS YOU!! :)

Answer: x = 2

Step 1.

In order to solve this non-linear equation, we need to move all the terms to the left side.

In x³ + 1 = 9...

- term 1, will be moved to the right side.

Notice that a term changes sign when it 'moves' from one side of the equation to the other.

Rewrite the equation like this:  (x³ + 1) + (-1) = 9 + (-1)

Step 2.

Add x³ + 1 + (-1)

x³ + 1 + (-1) = 8

Now, x = 8.

Step 3.

In this non-linear equation, the variable needs to be isolated.

This is accomplished when both sides are exponentiated by the reciprocal of the variable's exponent, which in our example, 1/3 is equal to

Notice that since we exponentiated a simplified fraction with an odd denominator, only one solution has been created.

Rewrite the equation: [tex](x^3)^\frac{1}{3} =8^\frac{1}{3}[/tex]

Step 4.

We need to exponentiate the power.

The following rule is applied: [tex](A^B)^C=A^B^C[/tex]

According to the formula,

A = X

B = 3

C = 1/3

Rewrite the equation: [tex]x^3^\times^\frac{1}{3} =(2^3)^\frac{1}{3}[/tex]

Step 5.

We need to reduce this fraction, the 3 in x to the lowest terms.

This can be done by dividing out those factors that appear both in the numerator and in the denominator.

In our example, 3 is the common factor.

Rewrite the equation: [tex]x=2^\frac{3}{3}[/tex]

Step 6.

Lastly, we'll need to do the same thing as we did in step 5. Reduce the fraction in [tex]x=2\frac{3}{3}[/tex]. This can be done by dividing out those factors that appear both in the numerator and in the denominator.

Hence, the common factor is 3 since it occurs both in the numerator and the denominator.

Hence, x = 2.

Answer:

d≈2yd

Step-by-step explanation:

Answer:

d≈2yd

Step-by-step explanation:

Answer: 45°

Step-by-step explanation: The formula for finding the measure of each exterior angle of a regular polygon is simply 360/n where n represents the number of sides of the polygon.

Since our polygon has 8 sides, we plug 8 in

for n and we have 360/8, which is 45.

So our answer is 45°.

Answer:

5 people

Step-by-step explanation:

1. I subtract 5.10 from 45 which gave me 39.90

2. I divided 39.90 by 7 to figure out how many people he could buy for

3. I had gotten 5.7 so I had to round

4 final answer is 5

Answer:

Jamie can buy lunch for 5 people.

7p≤40

Step-by-step explanation:

Given:

Jamie has $40.

Lunch cost per person = $7

Solution:

Jamie wants to treat some friends to lunch.He has $40 and knows that lunch will cost about $7 per person, p.

So, an inequality to represent this situation is written as:

Hence, the answer is 5

Therefore, Jamie can buy lunch for 5 people.

I hope this helps       :)

Answer:

y=0.05x+0.25

Step-by-step explanation:

.25/5 is slope---- divide

.25 is y-int

Answer:

25 students voted for peperoni

Answer:

a) 5/8

b)6/7

Step-by-step explanation:

Answer a 5/8 b6/7

hope this helps

Answer: I helped LOL

Step-by-step explanation:

Answer: 602 miles

Step-by-step explanation:

The average rate of speed is calculated by the formula;

= Distance / Time

You need to convert the time into hours. Time is 5 hours 30 mins.

Convert those minutes to hours:

1 hour is 60 minutes so 30 minutes would be:

= 30 / 60

= 0.5 hours

Total time = 5 hours + 0.5 hours

= 5.5 hours

Now go back to speed equation:

Speed = 3,311 / 5.5

= 602 miles

So we know that the bald eagle drinks 0.16 per day. (I am not sure liters, gallons, etc because it is not stated in the question.) Now, the question tells us that River Otters drink about 5 times MORE then the bald eagle. So first we need to multiply.  

0.16 × 5 = 0.8

So river otters drink about 0.8 per day.  

Now to find out how much a River Otter drinks in 3 days do:

0.8 × 3 = 2.4

Answer: River Otters drink 2.4 water in 3 days.  

PS. Please check which unit it is and add the unit. Sometimes points get cut off without the units!

Answer:

1.5 million

Step-by-step explanation:

700,000x45=31,500,000

33,000,000-31,500,000=1,500,00

Answer:

B

Step-by-step explanation:

After the translation of 2 units left, the function becomes f(x)=(x-2)³-(x-2)². Therefore, option A is the correct answer.

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

The given function is g(x)=x³-x².

When the shape is moved towards the left by k units, then replace x with x - k.

The function shifted to the left 2 units.

So, the function is f(x)=(x-2)³-(x-2)²

Therefore, option A is the correct answer.

To learn more about the function visit:

https://brainly.com/question/28303908.

#SPJ7

Answer:

225

Step-by-step explanation:

Answer:

225

Step-by-step explanation:

7.50 times 30 = 225

Answer:

how is your mom doing tell her last night was crazy :D

Step-by-step explanation:

Answer:

82 62 163 and 300 are correct

Step-by-step explanation:

Answer:79

Step-by-step explanation:

180-(45+56)=79

Answer:

4=128

5=512

6=2048

Step-by-step explanation:

I am not sure if this is correct, because I never answered a question like this before. If I am correct can I plz have Brainliest? Thanks!

Have a great day!

Answer:

5

Step-by-step explanation:

to find the answer you need to put this equation into a calculator

the square root of (4-8) squared + (3-6) squared

to find the distance this is put in the distance formula of

the square root of (x2-x1)squared + (y2-y1)squared

Answer:

g ≥ 1;  j ≥ 1;  g + j ≤ 12

Step-by-step explanation:

I had the same question and I got this right

Answer:

I just took its right!!

Step-by-step explanation:

Answer

:Assuming you are talking about odium chloride,NaCl your answer would be

87.7 g

we discover the answer because 1 x 22.99 + 1 x 35.99= 58.4 g/mol

1.50 Moles:

We need to multiply our initial  value by 1.50.

1.50 x 58.44/1= 87.66 = 87.7 g

Hope this helps

                                                                       -Tobie the dog <3

Answer:

Look below.

Step-by-step explanation:

Log3^4x

4xLog3 ------> To expand you would take the exponent and put infront of Log

This is the answer if its expanded. The question was sort of scarce so if this is wrong im sorry.

The expansion of the given logarithm [tex]\mathbf{Log_3 (4x^2)}[/tex] is [tex]\mathbf{= 2log_3(2)+2log_3(x)}[/tex]

A Logarithm is an exponent to which a base must be raised in order to result in a given number. The expansion of the logarithm takes a predictable approach and set guidelines.  

Using the set formula for solving logarithms;

[tex]\mathbf{log_a(x^n) = n \ log_a \ x}[/tex]

Let's assume that the correct equation given is:
[tex]\mathbf{=Log_3 (4x^2)}[/tex]

Using the above formula, we have

[tex]\mathbf{= 2 Log_3 (4x)}[/tex]

By expansion;

[tex]\mathbf{= 2log_3(2)+2log_3(x)}[/tex]

Learn more about logarithm here:

https://brainly.com/question/237321

Answer:

A measure of central tendency (measure of center) is a value that attempts to describe a set of data by identifying the central position of the data set (as representative of a "typical" value in the set). We are familiar with measures of central tendency called the mean, median and mode.

Step-by-step explanation:

Some facts/properties are:

1. There are three measures of the “center” of the data. They are the mode, median, and mean. Any of the values can be referred to as the “average.” The mode is the data value that occurs the most frequently in the data

2. And to find the measure of center:

The two most widely used measures of the “center” of the data are the mean (average) and the median. To calculate the mean weight of 50 people, add the 50 weights together and divide by 50 . To find the median weight of the 50 people, order the data and find the number that splits the data into two equal parts.

3. The four measures of center are mean, median, mode, and midrange. ... Example: The median of 1, 3, 5, 5, 5, 7, and 29 is 5 (the number in the middle). Mode – The mode is the number that repeats most often in a data set. It's seldom used in statistics as a reliable measure of center.

I hope this helps     :)

Answer:

X = 42x - 24

Showing the work :

6(7x−4)

=(6)(7x+−4)

=(6)(7x)+(6)(−4)

=42x−24

_____________________

*rate this answer and say thanks please!

Answer:

X+3=0

X=-3

H(x)=6*-3 - 10

H(x) =-18 - 10

H(x) =-28

Answer:

33

Step-by-step explanation:

containers filled = total quarts of soup / size of container

8 1/4 ÷ 1/4

33/4 x 4 = 33

Answer:

I think the answer is Africa, I dunno.

Step-by-step explanation: