3(x – 2) + 4x = 10(x + 1)

Answer:

( -3√5)

Step-by-step explanation:

√45 - √20 - 4√5 = √5*3*3 - √2*2*5 - 4√5

                            = 3√5 - 2√5 - 4√5

                            = √5 (3 - 2 - 4)

                            =  ( -3√5)

Answer:

$[tex]4f[/tex]

Step-by-step explanation:

Let's assume [tex]f[/tex] represents the number of pounds of fruit.

We need to multiply the number of pounds of fruit by the cost per pound.

This is $[tex]f * 4[/tex], or in a simpler form, $[tex]4f[/tex].

In this context, the variable 'f' represents the number of pounds of fruit. In the expression '4f', it means that for every pound of fruit, which costs $4, you multiply the number of pounds by that price to get the total cost.

The problem is asking us to provide an equation for the total cost of fruit based on the cost per pound, which is $4. As you identified the variable 'f' in the previous question, let's use that to stand for the number of pounds of fruit.

The written expression for the total cost would then be 4f. This expression says that the total cost is four times the number of fruit pounds ('f') purchased

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Answer:

144 in^2

Step-by-step explanation:

There are four triangular sides to this square pyramid.  According to the area-of-a-triangle formula, A = (1/2)(b)(h), which here is A = (1/2)(8 in)(5 in) = 20 in^2.

Thus, the total lateral (side) area is 4(20 in^2) = 80 in^2.

The area of the bottom is (8 in)^2, or 64 in^2.

Thus, the total surface area is 80 in^2 + 64 in^2, or 144 in^2.

Answer:

144

Step-by-step explanation:

Answer: [tex]h(-2)=-1[/tex]

Step-by-step explanation:

We need to find [tex]f(g(x))[/tex]. Substitute the function [tex]g(x)[/tex] into the function [tex]f(x)[/tex]:

[tex]f(g(x)) = (x+ 2)^2- 1[/tex]

Now, we know that the function [tex]h(x)[/tex] is [tex]h(x)=f(g(x))[/tex], then:

[tex]h(x)=(x+ 2)^2- 1[/tex]

In order to find the value of [tex]h(-2)[/tex], we must substitute [tex]x=-2[/tex] into the function  [tex]h(x)=(x+ 2)^2- 1[/tex].

Therefore, the value of  [tex]h(-2)[/tex] is:

[tex]h(x)=(x+ 2)^2- 1\\\\h(-2)=(-2+ 2)^2- 1\\\\h(-2)=(0)^2- 1\\\\h(-2)=0-1\\\\h(-2)=-1[/tex]

4 ft or 5 ft

i think thats right

Answer:

The width can be 5 ft   or the width can be 4 ft

Step-by-step explanation:

Perimeter = 2 (l+w)  for a rectangle

Area = l*w for a rectangle

Using perimeter

18 = 2(l+w)

Divide by 2

18/2 = 2/2 (l+w)

9 = l+w

Solving for l

9-w = l

Using area

20 = l*w

Substituing for l

20 = (9-w) * w

20 = 9w - w^2

Subtract 20 from each side

20-20 =-w^2 +9w -20

0 = -w^2 +9w -20

Multiply by -1

0 = w^2 -9w+20

Factor

0 = (w-5) (w-4)

Using the zero product property

w-5 = 0   w-4 = 0

w= 5   w=4

The width can be 5 ft   or the width can be 4 ft

The answer would be...

1/3n + 3/4n = n + 1

^^^That would be the last option

Hope this helped!

~Just a girl in love with Shawn Mendes

Answer:

The correct answer is last option

1/3n + n 3/4= n + 1

Step-by-step explanation:

It is given that,the sum of one-third of a number and three-fourths of the number exceeds that number by one

To find the correct option

Let 'n' be the number, one- third of the number = 1/3(n)

three - fourths of the number = 3/(4n)

Therefore the equation becomes,

1/(n) + 3/4(n)  = n + 1

Therefore the correct answer is last option

Answer:

8 is your answer.

Step-by-step explanation:

If i think that i'm doing this right.

6x + 48

6       6   divide by 6 on both sides.

  x = 8    

Hope my answer has helped you!

[tex](f-g)(x)=4x-3-(x+4)=4x-3-x-4=3x-7[/tex]

Answer:

m = 19

Step-by-step explanation:

With a rate of change of -8

27 - 8 = 19

16 - 8 = 11

so m = 19

Answer:

Third option: [tex]m=19[/tex]

Step-by-step explanation:

The rate of change is the slope of the line.

The formula for calculate the slope is:

[tex]slope=\frac{y_2-y_1}{x_2-x_1}[/tex]

You know that:

[tex]slope=-8\\y_2=m\\y_1=27\\x_2=11\\x_1=10[/tex]

Then, you can substitute them into the formula:

[tex]-8=\frac{m-27}{11-10}[/tex]

Finally, you must solve for "m":

[tex]-8=\frac{m-27}{11-10}\\\\-8(1)=m-27\\\\-8+27\\\\m=19[/tex]

Answer:

The slope is the percentage of test score per number of days absent

Step-by-step explanation:

we know that

The formula to calculate the slope between two points is equal to

[tex]m=\frac{y2-y1}{x2-x1}[/tex]

we have

y -----> is the percentage of test score

x ----> is the number of days absent

so

That means -----> The slope is the percentage of test score per number of days absent

In this problem the slope is negative

so

If the percentage test score increases----> the number of days decreases

If the percentage test score decreases----> the number of days increases

The domain of a function is all the x-values which it passes through.  The function is a continuous exponential function, and therefore, it will contain every x value.  The answer is:

The domain of the function is negative infinity to positive infinity.

Hope this helps!!

The domain of a function is the set of input values, the function can take.

The domain of the function is negative infinity to positive infinity,

The function is given as:

[tex]\mathbf{y = 4^x}[/tex]

The function is an exponential function, and there are no restriction as to the input values of an exponential function.

i.e: [tex]\mathbf{(-\infty, \infty)}[/tex]

Hence, the domain of the function is negative infinity to positive infinity,

Read more about domain at:

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Answer:

(f-g)(x) = 9x + 2

Step-by-step explanation:

(f-g)(x) = (3x+10x) - (4x-2)

          = 3x + 10x - 4x + 2

          = 9x + 2

Step-by-step explanation: would be the other answer for APEX as of 9/13/19

Answer:

w =12 cm

l = 24 cm

Step-by-step explanation:

P = 2w + 2l

We know the perimeter is 72 and the length is twice the width (l = 2w)

Substituting P = 72 and l = 2w

72 = 2w + 2(2w)

72 = 2w+ 4w

Combine like terms

72 = 6w

Divide each side by 6

72/6 =6w/6

12 = w

Now we need to find l

l = 2w

l =2*12

l = 24

First multiply 2 to both sides to isolate h. Since 2 is being divided by h, multiplication (the opposite of division) will cancel 2 out (in this case it will make 2 one) from the right side and bring it over to the left side.

4 < [tex]\frac{h}{2}[/tex]

4 * 2 < [tex]\frac{h}{2}[/tex] * 2

8 < h

For the graph will you have a empty or colored in circle?

If the symbol is ≥ or ≤ then the circle will be colored in. This represents that the number the circle is on is included.

If the symbol is > or < then the circle will be empty. This represents that the number the circle is on is NOT included.

Which direction will the ray go?

If the variable is LESS then the number then the arrow will go to the left of the circle.

If the variable is MORE then the number then the arrow will go to the right of the circle.

In this case your inequality is:

8 < h OR h > 8

aka 8 is less then h OR h is greater then 8

This means that the graph will have an empty circle and the arrow will go to the right of 8. Look at image below

Hope this helped!

~Just a girl in love with Shawn Mendes

Answer:

h>8

Step-by-step explanation:

4<h/2

multiply both sides by 2

8<h

Answer:

Step-by-step explanation:

false

For this case we have the following equation:

[tex]24-3x = -27[/tex]

To solve we follow the steps below:

We subtract 24 from both sides of the equation:

[tex]-3x = -27-24\\-3x = -51[/tex]

We divide between -3 on both sides of the equation:

[tex]x = \frac {-51} {- 3}\\x = 17[/tex]

The value of x is 17

Answer:

[tex]x = 17[/tex]

Answer:

[tex]\boxed{x=17}[/tex]

Step-by-step explanation:

Subtract by 24 from both sides.

[tex]24-3x-24=-27-24[/tex]

Simplify

[tex]-27-24=-51[/tex]

[tex]-3x=-51[/tex]

Divide by -3 from both sides.

[tex]\frac{-3x}{-3}=\frac{-51}{-3}[/tex]

Simplify to find the answer.

[tex]-51\div-3=17[/tex]

[tex]x=17[/tex], is the correct answer.

To find the answer, we can use the method of finding x- intercepts by solving the equation.

To solve the equation:

x^2 + x -12> 0

by using cross method,

we can find that 3 x -4 = -12

(x-3)(x+4) = 0

Therefore, x = 3 or x=-4

Hope it helps!

graph C represents the solutions for x^2+x-12>0​

Inequality is a statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.

The given inequality is :

x^2+x-12>0​

Now factorizing the expression we get,

(x-3)(x+4)>0

⇒ x>3 and x<-4

Clearly graph C represents the solutions.

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Answer:

[0,∞)

Step-by-step explanation:

We can easily solve this question by plotting the equation with the use of a plotting tool or any graphing calculator.

The equation is

y=3^(√x)

Please see attached image

Since the x is inside a square root, we know that x must be greater or equal to zero.

By looking at the graph, we can check that the domain of the function is

[0,∞)

Answer:

960

Step-by-step explanation:

We can find the number of unique combinations by

Multiplying 4*5*6*8

960

There are 960 possible choices  by picking 1 from each group

The correct answer is: B) 5x √3x

I just did the test, trust me it is B.

The solution for the following expression is,[tex]5x\sqrt{3x}[/tex].None of the options are correct.

Simplifying is making something easier to do or comprehend, as well as making something less difficult.

The following expression is given ;

[tex]3\sqrt{27x^3}-2\sqrt{12x^3}[/tex]

Simplify the given expression;

[tex]3\sqrt{27x^3}-2\sqrt{12x^3} \\\\ 3 \times 3x \sqrt {3x} -2 \times 2x \sqrt{3x}\\\\ 9x \sqrt {3x}-4x\sqrt{3x}\\\\\ 5x\sqrt{3x}[/tex]

The solution for the following expression is,[tex]5x\sqrt{3x}[/tex].

Hence one of the options is correct.

To learn more about the simplification, refer to:

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Answer:

B if you mean log_7 (1)*log_ 5 (25)

Step-by-step explanation:

I think you mean 7 and 5 as bases... like

log_7(1)*log_5(25)

log_7(1)=0 because 7^0=1

log_5(25)=2 because 5^2=25

So you have to perform the following operation 0*2=0

so 0 is definitely one answer

1  and 5*7 are definitely not equal to 0

let's look at last choice now

log_7(7)=1 because 7^1=7

so D is equivalent to saying 2*1 which is 2 not 0

so only one choice works and it is B

Answer:

sin(-50°) is not equal to sin(-230°)

Step-by-step explanation:

You will be required to use a scientific calculator for this.

Step 1 : Find out the value of sin(-230°)

sin(-230°) = 0.766

Step 2 : Find out all the other values and see if they are 0.766 or not.

sin(130°) = 0.766 (It is equal to sin(-230°))

-sin(-50°) = 0.766 (It is equal to sin(-230°))

sin(50°) = 0.766 (It is equal to sin(-230°))

sin(-50°) = -0.766 (It is not equal to sin(-230°))

!!

Answer:

sin⁡(-230°) =sin(50°)

Step-by-step explanation:

1) sin(-a) = -sina

note : 2)  sina = sinb :   a=b   or a+b =180°

in this exercice :  

sin⁡(-230°) = - sin⁡(230°)  = - sin(-50°)=- (-sin(50°)) =sin(50°)  because :

sin⁡(230°) = sin(-50°)  because ; 230°+(-50°) =180°

           sin⁡(230°)    = -sin(50°)

Answer:

Oak tree is 33 ft tall.

Step-by-step explanation:

We know that Irene places a mirror on the ground and walks backwards such that the mirror is in between her and the oak tree (as shown in the attached picture).

Given the distance of Irene's eyes from ground, distance between oak tree and mirror and distance between mirror and Irene, we are to find the height of the tree.

For this, we will use the ratio method:

[tex]\frac{T}{24} =\frac{5.5}{4}[/tex]

T = 33 ft

Your question is asking what the probability of picking up a boys name out of the paper bag.

In order to solve this problem, we're going to have to find the total amount of names in the paper bag and the amount of boy names there are.

When you read the question, you would find some key information in it.

Key Information:

19 boys

12 girls

With the information above, we can find the probability of picking out a boy name out of the paper bag.

To find the porbability, we're going to need to get the total amount of names in the paper bag. We would just add 19 + 12.

[tex]19+12=31[/tex]

Now, we know that there are 31 total names in the bag.

But, we are trying to find the chances of pulling out a boys name. There are 19 boy names in the bag.

We would use the number 19 as our numerator and 31 as our denominator.

Your fraction should look like this:

[tex]\frac{19}{31}[/tex]

The fraction above would represent the probability to pick out a boy name.

Since 19 is a prime number, we wouldn't simplify the fraction.

Therefore, the chances of picking out a boy name from the paper bag is [tex]\frac{19}{31}[/tex]

[tex]\frac{19}{31}[/tex] should be your FINAL answer.

Answer:

Step-by-step explanation:

[tex]x^2-25=x^2-5^2\qquad\text{use}\ a^2-b^2=(a-b)(a+b)\\\\=(x-5)(x+5)\\\\x^2-25=0\to(x-5)(x+5)=0\iff x-5=0\ \vee\ x+5=0\\\\x-5=0\qquad\text{add 5 to both sides}\\x=5\\\\x+5=0\qquad\text{subtract 5 from both sides}\\x=-5[/tex]

Answer:

Option 2 - Approximately 24–36 pounds

Step-by-step explanation:

Given : A standard American Eskimo dog has a mean weight of 30 pounds with a standard deviation of 2 pounds. Assuming the weights of standard Eskimo dogs are normally distributed.

To find : What range of weights would 99.7% of the dogs have?

Solution :

The range of 99.7% will lie between the mean ± 3 standard deviations.

We have given,

Mean weight of Eskimo dogs is [tex]\mu=30[/tex]

Standard deviation of Eskimo dogs is [tex]\sigma=2[/tex]

The range of weights would 99.7% of the dogs have,

[tex]R=\mu\pm3\sigma[/tex]

[tex]R=30\pm3(2)[/tex]

[tex]R=30\pm6[/tex]

[tex]R=30+6,30-6[/tex]

[tex]R=36,24[/tex]

Therefore, The range is approximately, 24 - 36 pounds.

So, Option 2 is correct.

Answer:

B: Approximately 24–36 pounds

Step-by-step explanation:

Answer:

The value of m is 3

Step-by-step explanation:

we have

[tex]x^{2}+mx+n=0[/tex]

step 1

Find the value of n

For x=0

[tex]0^{2}+m(0)+n=0[/tex]

[tex]n=0[/tex]

step 2

Find the value of m

For x=-3

substitute

[tex]x^{2}+mx=0[/tex]

[tex](-3)^{2}+m(-3)=0[/tex]

[tex]9-3m=0[/tex]

[tex]3m=9[/tex]

[tex]m=3[/tex]

Answer:

F = 48

Step-by-step explanation:

F= 8/5 (c) + 40

Let c=5

F = 8/5 * 5 +40

  = 8 + 40

  = 48