Simplify the following:
3(x + 1) - 4(2x - 5) + 10x

The expressions which is equivalent to the given expression; 3^(2x -3) is; the quantity 9 to the power of x end quantity over 27.

It follows from the task content that the equivalent expression as in the task content can be determined by the laws of Indices as follows;

3^(2x -3)

= 3^(2x) × 3-³

= (3²)^x × 1/3³

= 9^(x) × 1/27

= 9^(x)/27.

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The expression that is equivalent to 3^(2x - 3) is; Option A: the quantity 9 to the power of x end quantity over 27.

Laws of indices provide us with rules for simplifying calculations or expressions involving powers of the same base.

Now, we are given the expression as 3^(2x - 3). This can be broken down into; 3^(2x) × 3⁻³

Now, according to laws of indices;

3^(2x) = (3²)ˣ

Thus, we now have;

= ((3²)ˣ)/3³

= 9ˣ/3³

= 9ˣ/27

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Answer: the x value of the ordered pair is 0

Utilizando la formula de Bhaskara obtenemos los interceptos del eje x que son en x = 0.

La cuadratica con las dadas raices es:

f(x) = x^2 + 64

Primero tenemos la función cuadratica:

f(x) = 2x^2 - 6x + (9/2)

Primero, debemos encontrar las soluciones a la ecuación:

2x^2 - 6x + (9/2) = 0

Esto nos dara los interceptos con el eje x.

Usando la formula de Bhaskara obtendremos:

x = ( 6 ± √( (-6)^2 - 4*(9/2)*2 )/(2*2)

x = (6  ± 0)/4

Entonces tenemos dos interceptos del eje x en el mismo punto, que es x = 6/4 = 3/2

2) Ahora nos dan dos raices, que son x = 8 y x = -8

Recordar que si nos dan dos raices a y b, entonces una cuadratica con esa raices será:

f(x) = A*(x - a)*(x - b)

Donde A es el coeficiente lider de la cuadratica. En este caso no nos dan un valor de A, por lo que asumimos es 1.

Entonces esta cuadratica será:

f(x) =(x - 8)*(x + 8)

Expandiendo:

f(x) = x^2 + 64

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The equation is d + 3h = $13

The cost of each hamburger is $3.5

From the question, we are to write and solve the equation for the problem.

From the given information,

Danie purchases one hot dog $2.50

and

3 hamburgers

and

He spent $13 total

Let d represent hot dog

and

h represent hamburger

Then,

d = $2.50

We can write that

d + 3h = $13

$2.50 + 3h = $13

3h = $13 - $2.50

3h = $10.5

h = $10.5/3

h = $3.5

Hence, the cost of each hamburger is $3.5

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Answer:

x = 50°

Step-by-step explanation:

draw a line through B parallel to the 2 given parallel lines , then

the upper angle at B and 150° are same- side interior angles and sum to 180°

upper angle = 180° - 150° = 30°

the lower angle at B and 160° are same- side interior angles and sum to 180°

lower angle = 180° - 160° = 20°

Then

x = upper angle + lower angle = 30° + 20° = 50°

Answer:

Product is rational

Step-by-step explanation:

A rational number is any integer, fraction, terminating decimal, or repeating decimal.

Answer:

the product is rational

The density of the sample is 796.61 kg/m^3.

According to teh given question.

The weight of the metal is 18.5g

The volume of the sample is 2.36 cm^3 or 0.00000236

Since, we know that

Weight = mass × acceleration due to gravity

⇒ 18.5g = mass of the metal × 9.8

⇒ 18.5g/1000 = mass of the metal × 9.8

⇒ mass of the metal = 0.00188kg

Therefore,

the density of the sample

= 0.00188/0.00000236

= 796.61 kg/m^3

Hence, the density of the sample is 796.61 kg/m^3.

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The technique that most clearly minimizes the likelihood that any outcome differences between the experimental and control groups is e. random assignment.

A methodology used to divide research participants into two groups—the treatment group, also known as the experimental group, and the control group—by randomization is known as random assignment, also known as random placement.

Every research volunteer has an equal chance of being assigned to any of the groups thanks to this randomization mechanism.

In studies, random assignment is a method used to divide participants into different research groups with similar characteristics so that the groups are equal at the start of the investigation.

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Which technique most clearly minimizes the likelihood that any outcome differences between the experimental and control groups can be attributed to age or personality differences in research participants?

a. the double-blind procedure

b. statistical measurement

c. replication

d. operational definitions

e. random assignment

Answer:

2 i think

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

You have 1 item. You have another item. That means you have 2 items.

Answer:

0=4

2=16

10=64

15=94

Step-by-step explanation:

hfufugihigfhydydtsyeurur

Answer:

19/33

Step-by-step explanation:

57 repeating = 0.57

1. x = 0.57

2. mutiply each side by 10² = 100

100x = 57.57...

3. subtract

x = 0.57 from 100x = 57.57...

and get 99x = 57.

4. solve for x

x = 57/99

5. find the GCF of 57 and 99

57 ÷ 3 = 19

---- --- ----

99 ÷ 3 = 33

6. x = 19/33

Step-by-step explanation:

36 multiple 4 it is equivalent to what you say

Answer:

-1 - 17x

Step-by-step explanation:

Firstly you arrange the like terms as follows:

(17 - 18) (- 12x - 5x)

Then you work it out:

17 - 18 = -1

-12x - 5x = -17x

After you combine the answers:

-1 -17x

Finally you get:

-1 - 17x

The equations for modelling the scenario is 8x + 11y = 3100

x + y = 365 (option d)

Given,

Total number of customers at a local mini golf house = 365

Total amount paid by a customer = 3100

The cost for a child per game is = $8

The cost for an adult per game is = $11

So,

First equation will be:

x represents the number of children

y represents the number of adults

x + y = 365

Second equation is :

x represents the number of children

y represents the number of adults

Total amount paid by a customer = 3100

The cost for a child per game is = $8

The cost for an adult per game is = $11

8x + 11y = 3100

The equation of the given statement:

8x + 11y = 3100

x + y = 365

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Answer:

option D

Step-by-step explanation: the answer d

This problem is associated with linear equations. The total price will be 1.07x dollars.

There are only one or two variables in a linear equation. No variable can be multiplied by a number larger than one or used as the denominator of a fraction in a linear equation. All of the points fall on the same line when you identify the values that together make a linear equation true and plot those values on a coordinate grid.

Given,

Leila is buying a replica of a dinosaur.

The model is priced at x dollars, plus she must pay a 7% tax.

7% is shown in decimal form.

= 0.07

Tax price = 0.07 times the model's cost

= 0.07x

Total cost Leila pays for the model by adding the tax price to the model's cost.

Combining the values in the aforementioned

Leila pays the model a total of 0.07x + x.

= 1.07 in currency

As a result, Leila pays a total of 1.07 for the model.

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Answer:

ST = 7.07 units

Step-by-step explanation:

Answer:

56

Step-by-step explanation:

Answer:

the answer is

f = 180°-50°74°

Answer:25

Step-by-step explanation:

Answer:

LM + MN=LN

Therefore (2x-16)+(x-9)=11

2x-16+x-9=11

2x+x-16-9=11

3x-25=11

3x=11+25

3x=36

x=36/3

x=12

Therefore MN=(12-9)=3

MN=3

Answer:

if it says 2.5 that mean 2 hours and 5 minutes

Answer:

Two hours and 30minutes

Step-by-step explanation:

Answer:

$11.50

Step-by-step explanation:

6.75 times 4 is 27

$73-27 is 46

46 divided by 4 is 11.5

Answer:

$11.50

Step-by-step explanation:

Total spent = Food + Tickets

The cost of the tickets times the number of people

6.75 x 4 = $27.00 for tickets

then the total number of dollars spent in total subtracted by the amount for tickets

73 - 27 = $46 for food

$46 / 4 people = 11.50

So each person spent 11.50 on food.

Answer:

17 students

Step-by-step explanation:

140-15=125

125/7.25=17.2....

rounded to 17

Answer:

mean = 23

median = 22.50

mode = 20

range = 7.5

Step-by-step explanation:

mean is the total / n

total = 20+20+22.50+25+27.50 = 115

n= 5

mean = 115/5 = 23

median you'll arrange the numbers in ascending order and pick the middle one and its 22.50

20, 20, [22.50], 25, 27.50

mode is the number that is repeated mostly and it was 20.

range is max - min

max is 27.50

min is 20

range = 27.50 - 20

range = 7.50

Answer: 8oz container has a lower unit rate

Step-by-step explanation:

8 oz = 0.56

32 oz = 2.56

Question: how much is each container per oz

0.56/8 = 0.07 per oz

2.56/32 = 0.08 per oz

Answer:

The sum will be close to 1/2

Step-by-step explanation:

1/4+2/7=15/28

The common denominator of 1/4 and 2/7 is 28.

1/4 -> 7/28

2/7 -> 8/28

7/28+8/28=15/28

turn that into a decimal and it will round to 0.5257

1/2=0.5

so the answer will be closer to 1/2

Answer:The sum would be close to 1/2

Step-by-step explanation:

Answer: 12.50= 2x + 3y,

5.50= 2x+y,

5=x+Y

Step-by-step explanation: Use a graphing calculator bro

Answer:

====================

The common ratio is the constant factor between consecutive terms, that is:

Correct choice is D.

Using the normal distribution, the percentages are given as follows:

a. 9.18%.

b. 97.72%.

c. 50%.

d. 4.27%.

e. 0.13%.

f. 59.29%.

g. 2.46%.

h. 50%.

i. 50%.

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The mean and the standard deviation for this problem are given as follows:

[tex]\mu = 247, \sigma = 60[/tex]

For item a, the proportion is the p-value of Z when X = 167, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

Z = (167 - 247)/60

Z = -1.33.

Z = -1.33 has a p-value of 0.0918.

Hence the percentage is of 9.18%.

For item b, the proportion is the p-value of Z when X = 367, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

Z = (367 - 247)/60

Z = 2.

Z = 2 has a p-value of 0.9772.

Hence the percentage is of 97.72%.

For item c, the proportion is one subtracted by the p-value of Z when X = 247, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

Z = (247 - 247)/60

Z = 0.

Z = 0 has a p-value of 0.5.

1 - 0.5 = 0.5.

Hence the percentage is of 50%.

For item d, the proportion is one subtracted by the p-value of Z when X = 350, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

Z = (350 - 247)/60

Z = 1.72

Z = 1.72 has a p-value of 0.9573.

1 - 0.9573 = 0.0427.

Hence the percentage is of 4.27%.

For item e, the proportion is the p-value of Z when X = 67, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

Z = (67 - 247)/60

Z = -3.

Z = -3 has a p-value of 0.0013.

Hence the percentage is of 0.13%.

For item f, the proportion is the p-value of Z when X = 300 subtracted by the p-value of Z when X = 200, hence:

X = 300:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

Z = (300 - 247)/60

Z = 0.88.

Z = 0.88 has a p-value of 0.8106.

X = 200:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

Z = (200 - 247)/60

Z = -0.78.

Z = -0.78 has a p-value of 0.2177.

0.8106 - 0.2177 = 0.5929.

Hence the percentage is of 59.29%.

For item g, the proportion is the p-value of Z when X = 400 subtracted by the p-value of Z when X = 360, hence:

X = 400:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

Z = (400 - 247)/60

Z = 2.55.

Z = 2.55 has a p-value of 0.9946.

X = 360:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

Z = (360 - 247)/60

Z = 1.88.

Z = 1.88 has a p-value of 0.97.

0.9946 - 0.97 = 0.0246.

Hence the percentage is of 2.46%.

For items h and i, the distribution is symmetric and the mean and the median are equal, hence both percentages are 50%.

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Answer:

14 word searches

Step-by-step explanation:

126÷9=14

Step-by-step explanation:

126÷9= 14

This is becuse u want to see how many times 9 can go into 126

to check u can do 9×14 and the answer will be 126