what is the solution to the equation 0.5x - 1.25 = 3.5?

Answer:

4p² - 9p

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Distributive Property

Algebra I

Step-by-step explanation:

Step 1: Define

Identify

3p(2p - 9) - 2p(-9 + p)

Step 2: Simplify

Answer:

X=6

Step-by-step explanation:

5x+(x+54)=90

6x+54=90

6x=36

X=6

Answer:

Step-by-step explanation:

Step-by-step explanation:

you just have to put that value in place of x in the function.

don't be so lazy you a hole do it yourself

Answer: 0, 5

Step-by-step explanation: a translation is just like sliding the object in this case a triangle/point on the triangle. so the point it is at now is -2, 5 because it is 2 to the left and 5 up. and if you go to the right 2. then you are adding 2 to the x value. so -2 +2 = 0. which is how you get 0, 5

The class width used for the frequency distribution is 6.

The class midpoint for the class 23-29 is 26.

The class midpoint for the class 30-36 is 33.

The class midpoint for the class 37-43 is 40.

To find the class width of the frequency distribution, we need to determine the range of each age class. The range is the difference between the upper and lower boundaries of each class. Looking at the table, we can see that the class boundaries are as follows:

23-29

30-36

37-43

For the class 23-29, the lower boundary is 23 and the upper boundary is 29. To find the class width, we subtract the lower boundary from the upper boundary:

Class width = 29 - 23 = 6

So, the class width for the frequency distribution is 6.

To find the class midpoint for each class, we take the average of the lower and upper boundaries of each class.

For the class 23-29:

Class midpoint = (23 + 29) / 2 = 52 / 2 = 26

For the class 30-36:

Class midpoint = (30 + 36) / 2 = 66 / 2 = 33

For the class 37-43:

Class midpoint = (37 + 43) / 2 = 80 / 2 = 40

So, the class midpoint for the class 23-29 is 26, for the class 30-36 is 33, and for the class 37-43 is 40.

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The quantity 2a 2c corresponds to the rate of change of the surface area with respect to a. So, Correct option is C.

When considering a rectangular prism with dimensions a, b, and c, there are three different measures that we can associate with the dimensions: the length, width, and height. These measures are important in determining both the volume and the surface area of the prism.

In this problem, we are given a quantity 2a 2c and asked to determine which measure of the rectangular prism it corresponds to. We can do this by considering the formulas for the volume and surface area of the prism, and taking the partial derivatives with respect to each of the three dimensions.

The volume of a rectangular prism is given by:

V = abc

Taking the partial derivative of this expression with respect to a, we get:

\(\frac {\partial v} {\partial a}\) = bc

This is not equal to 2a 2c, so we can eliminate the possibility of the quantity corresponding to the rate of change of the volume with respect to a.

Taking the partial derivative of the volume with respect to b and c gives:

\(\frac {\partial v} {\partial b}\) = ac

\(\frac {\partial v} {\partial c}\) = ab

Again, neither of these expressions is equal to 2a 2c, so we can eliminate the possibilities of the quantity corresponding to the rate of change of the volume with respect to b or c.

Next, we can consider the surface area of the prism, which is given by:

A = 2ab + 2ac + 2bc

Taking the partial derivative of this expression with respect to a, we get:

\(\frac {\partial v} {\partial a}\) = 2b + 2c

Substituting 2a 2c for 2b + 2c, we get:

\(\frac {\partial A} {\partial a}\) = 2a 2c

This is the same expression as the given quantity, so we can conclude that the quantity 2a 2c corresponds to the rate of change of the surface area with respect to a.

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The quadratic expression x² − 2x + 3 cannot be factorized

From the question, we have the following parameters that can be used in our computation:

x² − 2x + 3

Rewrite as

f(x) = x² − 2x + 3

A quadratic expression is represented as

f(x) = ax² + bx + c

By comparison, we have

a  = 1

b = -2

c = 3

The determinant (D) of the expression is calculated as

D = b² - 4ac

Substitute the known values in the above equation, so, we have the following representation

D = (-2)² - 4 * 1 * 3

Evaluate

D = -8

When the determinant of a quadratic expression is less than 0, the expression has no real root

This in other words mean that the expression cannot be factorized

The determinant, -8 is less than 0

So, x² − 2x + 3 cannot be factorized

Hence, the conclusion is that the expression x² − 2x + 3 cannot be factorized

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Answer:

y = 3x - 11

Step-by-step explanation:

(Note: change 3 - (-2) to 3 + 2 to make it easier for you)

Your slope would be 3/1 or 3.

(Use either the first point or second point, I chose the first)

5 = 3(-2) + b

Your y-intercept is -11.

Hope this helped!

There are no possible real values for the first term 'a' that satisfy both equations.

Let's denote the first term of the geometric progression as 'a' and the common ratio as 'r'.

The sum of the first two terms can be expressed as:

a + ar = 16

To find the sum to infinity, we can use the formula:

Sum to infinity = a / (1 - r)

Given that the sum to infinity is 25, we have:

25 = a / (1 - r)

We now have two equations:

a + ar = 16

a / (1 - r) = 25

We can solve these equations simultaneously to find the possible values of 'a'.

From the first equation, we can factor out 'a' to get:

a(1 + r) = 16

Dividing both sides of the second equation by 25, we have:

a / (1 - r) = 1

We can rearrange this equation to get:

a = 1 - r

Substituting this expression for 'a' in the first equation, we get:

(1 - r)(1 + r) = 16

Expanding the equation, we have:

1 - r^2 = 16

Rearranging the terms, we get:

r^2 = -15

Since we are dealing with a geometric progression, the common ratio 'r' must be a real number. However, we observe that r^2 = -15 has no real solutions. Therefore, there are no possible real values for the first term 'a' that satisfy both equations.

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Answer:

X equals 1, and Y equals 2

\(2x = 2 * 1\)

\(3y = 3 * 2\)

\(2 * 1 = 2\)

\(3 * 2 = 6\)

\(6 + 2 = 8\)

________________________________________________________

Now, we go over what we learned.

________________________________________________________

We learned how to make inequalities true by assigning values to substitutions.

Questions related to this topic? Ask me in the comments box.

Answer:

what are you trying to say

Step-by-step explanation:

you need to give me more information before I give you an answer.

Answer:

(C) 12

Step-by-step explanation:

To solve this problem, we can use the following steps:

Find half of 80: 80/2 = 40

Add 20 to half of 80: 40 + 20 = 60

Find one fifth of the result: 60/5 = 12

Therefore, one fifth of twenty more than half of 80 is equal to 12. The correct answer is (C) 12.

Answer:

(C) 12

Step-by-step explanation:

What is one fifth of twenty more than half of 80

0.5 × 80 = 40

What is one fifth of twenty more than half of 80

40 + 20 = 60

What is one fifth of twenty more than half of 80

1/5 × 60 = 60/5 = 12

Answer:

1350 students

Step-by-step explanation:

90% of 1500 is 1350

250 grams of dragon alloy #11 and 750 grams of dragon alloy #35 is needed to make 1000 grams (1 kg) of Dragon alloy #17.

An equation is an expression that shows the relationship between two or more numbers and variables.

Let x represent the amount of alloy #11 and y represent the amount of alloy #15, hence:

(0.36x) + (y * 0.36) = 1(0.36)   (1)

Also:

0.28x + 0.64y = 1(0.55)    (2)

From both equations:

x = 0.25, y = 0.75

250 grams of dragon alloy #11 and 750 grams of dragon alloy #35 is needed to make 1000 grams (1 kg) of Dragon alloy #17.

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Answer:

welcome to brainly thanks for adding your first question i hope you enjoy it here at brainly

Step-by-step explanation:

D. Both the people of the U.S. and the people you called are samples​

because if you choose a population and residents they would problaly give you the same things and others from the sample will give you different answers so d is your best bet

hope this helps enjoy brainly

Answer:

there are 22 pictures that are neither animal-themed nor portraits.

Step-by-step explanation:

Out of the 40 pictures that Steph has drawn, 8 are animal-themed. Therefore, the number of pictures that are not animal-themed is:

40 - 8 = 32

Now, we know that 25% of the 40 pictures are portraits. To find out how many pictures are portraits, we can multiply 40 by 0.25:

40 x 0.25 = 10

Therefore, 10 pictures are portraits. Since some of the portraits might also be animal-themed, we need to subtract them from the total number of portraits to get the number of non-portrait pictures. We don't know how many portraits are also animal-themed, so we need to assume that all of them are. Therefore, the number of non-portrait pictures is:

32 - 10 = 22

Therefore, there are 22 pictures that are neither animal-themed nor portraits.

Answer:

This should be a permutation

Step-by-step explanation:

P (n, r) = n!/(n-r)!

P (12,5) = 12!/(12-5)!

P (12,5) = 12!/7!

P(12,5) = 95040

Step-by-step explanation:

P(red) = 12/(12+10+5+4+29)

= 12/60

= 1/5

= 0.2

= 20%

Answer:

18

Step-by-step explanation:

since there are 9 liters and three days, you double the amount of days to get 6, so you do the same to the amount of liter she makes. so 18 liters of jam

The ERROR Josephina and Dario estimated √50 are such as 0.07 and -17.92.

Suppose the actual value and the estimated values after the measurement are obtained. Then we have:

Error = Actual value - Estimated value

WE need to find the error Josephina and Dario are estimating √50

The actual value of \(\sqrt{ 50 } = 7.0710\)

So,

By Josephina

Error = Actual value - Estimated value

Error = 7.07 - 7

Error = 0.07

By Dario

Error = Actual value - Estimated value

Error = 7.07 - 25

Error = -17.92

Hence, the ERROR Josephina and Dario estimated √50 are such as 0.07 and -17.92.

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Answer:

this may help you.look it once

Answer:

Wages

Step-by-step explanation:

Answer:

2. Wages

4. Allowance

Step-by-step explanation:

very simple question I wish I saw this earlier so I could help. Can I please get brainliest.

尺蛾翅蛾。(thank you.)

Answer:

2.25

Step-by-step explanation:

9 × 250 m = 2250 mL

1 L = 1000 m

2250 mL × (1 L)/(1000 mL) = 2.25 L

The average value of function can be calculated using the formula →

\($f(avg) =\frac{1}{b-a} \int\limits^a_b {f(x)} \, dx\) and to find average rate of change of function can be calculated using → f '(x) =  \($\frac{f(b)-f(a)}{b-a}\).

We have a function (say f(x)).

We have to find the average value of a function and the average rate of change of function.

A function in mathematics is a relation involving two variables, such that one variable is dependent on the other for its value.

According to the question -

PART - A → Finding the Average value of a function.

The average (or the mean) value of f (x) on [a, b] is defined by -

\($f(avg) =\frac{1}{b-a} \int\limits^a_b {f(x)} \, dx\)

PART - B → Finding the Average Rate of Change of a function.

The average rate of change of function f(x) is found out as follows -

f '(x) =  \($\frac{f(b)-f(a)}{b-a}\)

Hence, to find the average value of function -

\($f(avg) =\frac{1}{b-a} \int\limits^a_b {f(x)} \, dx\)

and to find average rate of change of function -

f '(x) =  \($\frac{f(b)-f(a)}{b-a}\).

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Answer:

18.85

Step-by-step explanation:

The area of a circle is A= pi × r² (r being the radius)

The radius is half the diamter so the radius would be 6

Plug 6 into the equation for the radius

A = pi × 6²

A = pi ×36

A= 18.85

Answer:

for every 1 12th grader 3 10th garders

Step-by-step explanation:

\(x^2\gt2x-2\)

\(x^2-2x+2\gt0\)

You are essentially asking at this point where is the quadratic function greater than 0. To get the interval find the roots. Between the roots the function is guaranteed to be LESS THAN zero. Everywhere else the function is greater than 0.

\(x^2-2x+2=0\)

Use Vieta's rule to get the roots,

\((x-1)(x-1)=0\)

Both roots are the same so no value is less than 0 which means all values except at the point of root are strictly greater, the point of root is at \(x_{1,2}=1\) which means the set for which the quadratic function is greater than 0 is \(\mathbb{R}-\{1\}\) "all real numbers except 1".

To convert this into interval notation use all numbers up to 1 but not including and all numbers after 1 but not including,

\((-\infty,1)\cup(1,\infty)\)

Hope this helps :)