A restaurant owner needs to order at least 176 filet mignon steaks to be stocked for a busy Friday night. He only has
room to store 321 steaks in his refrigerator. Model the number of steaks the restaurant owner can order, using a
compound inequality.

Answer:

B

Step-by-step explanation:

The difference between each term is six and the numbers are increasing so the only one that is in the correct format, which is an = a1 + (n-1)d, is B

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The explicit formula for the sequence -9,-3,3,9,15​ is [tex]a_n[/tex] =-9+(n-1)6.

The correct option is (C).

The explicit formula for an arithmetic sequence is an = a + (n - 1)d, and any term of the sequence can be computed, without knowing the other terms of the sequence.

Given sequence:  -9,-3,3,9,15​

As, the given sequence is arithmetic sequence.

So, the difference between two consecutive term is same.

i.e., (-3)-(-9)= -6, 3-(-3)= 6, and so on.

Now, the nth term is = a+(n-1)d

as, a=-9

So, [tex]a_n[/tex]= -9+(n-1)6

          = -9+6n-6

          = 6n-15

Hence, [tex]a_n[/tex] =-9+(n-1)6.

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Answer:

The answer is: 3x·3x^2+3x·4+2·3x^2+2·4 APEX

Step-by-step explanation:

Answer:

6x + 3x^2 +4

Step-by-step explanation:

Your wanting like terms/linear equations? If so then:

(3x+2) (3x^2 + 4) =

3x + 3x^2 + 3x + 4, Like terms

6x + 3x^2 +4 is your answer.

Hope my answer has helped you!

Answer:

$1575

Step-by-step explanation:

If I bet $25 (And I win, of course!), I will win:

If I win $63 per every $1 bet, then:

63/1 = x/25 ⇒ Solving for 'x':

63*25 = $1575

Finally, if you bet $25 you will win $1575!

Answer:

35

Step-by-step explanation:

I multiply 3 and 7 that give 35

Answer:

Step-by-step explanation:

The area of a pentagon given the radius is

Area = (5/2)r^2 * sin(72º)

r = 7

Area = (5/2)*7^2 * sin(72)

Area = 122.5 * 0.95106

Area = 116.5

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

r = 5

Area = (5/2) * 5^2 * sin(72)

Area = 59.4

Area of the shaded area = 116.5 - 59.4

Area of the shaded area = 57.1

Answer:

184 ft

Step-by-step explanation:

explanation in the photo

SA = (0.5 x 2 x 6 x 4) + (2 x 10 x 5) + (6 x 10)

SA = 24 + 100 + 60

SA = 184

The answer is 184 ft².

Answer:

(4,0) & (-9,0)

Step-by-step explanation:

Answer:

12x^2 + 28x = 0

3x^2 + 7x = 0

x(3x+7)=0

x=0 or

3x+7=0

3x= - 7

x= - 7/3

Answer:

4x(3x + 7)

Step-by-step explanation:

Given

12x² + 28x ← factor out 4x from each term

= 4x(3x + 7) ← in factored form

Answer:

596.8 ft^2

Step-by-step explanation:

Answer:

596.8 feet^2

Step-by-step explanation:

The m < C  = 180 - 2*38.5 = 103 degrees ( because the triangle is isosceles).

Use the formula:  Area of a triangle = 1/2 ab sinC:

Area = 1/2 * 35 * 35 * sin 103

= 596.8 feet^2.

Answer:

There's no solution to this system equation because they are parallel to each other. The solution of system equation is where they intersection with each other.

Step-by-step explanation:

Answer:

140 square inches

Step-by-step explanation:

An 8 inch by 6 inch rectangle would have a lateral area of 140 square inches.

A rectangle is the shape with parallel opposite sides, combined with the all 90 degree angles. As the type of parallelogram, it has opposite parallel sides. In the rectangle, 1 set of parallel sides is longer than the other, making it look like the elongated square.

Given that,

dimensions of the base is  8 inch by 6 inch and height is 5 inch. That means,

L=8,w=6,h=5

8+8+6+6=28,

then you multiply it by the height so it would be 28x5=140

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Answer:

The y-coordinate of the solution to the system shown is 9

Step-by-step explanation:

[tex]y=\frac{1}{4}x+7\\y=\frac{1}{2}x+5[/tex]

We need to solve these system of equations and find value of y

Let eq (1) be[tex]y=\frac{1}{4}x+7[/tex]

and eq(2) be [tex]y=\frac{1}{2}x+5[/tex]

Putting value of y from eq(2) into eq(1)

[tex]y=\frac{1}{2}x+5=\frac{1}{4}x+7\\\\\frac{1}{2}x-\frac{1}{4}x=7-5\\\frac{2x-x}{4}=2\\\frac{x}{4}=2\\x=2*4\\x=8[/tex]

Putting value of x=8 in equation 1 to find value of y

[tex]y = \frac{1}{4}x+7[/tex]

[tex]y = \frac{1}{4}(8)+7[/tex]

[tex]y =2+7[/tex]

[tex]y =9[/tex]

So, The y-coordinate of the solution to the system shown is 9

Hello There!

We’re just using addition for this.

Image Attached below.

69y is your Answer

Answer:

3,578

Step-by-step explanation:

Add the two values together.  If the bridge is 1,595 feet long, and if each cable holding that is 1,983 feet longer than the length of the bridge then adding them together is the way to go.

1,595+1,983=3,578

To get the length of each cable, you add the length of the bridge (1,595 feet) to the extra length of each cable (1,983 feet), which results in 3,578 feet.

The problem is asking us to work with addition. The bridge is 1,595 feet long and each cable is 1,983 feet longer than the bridge. To find the length of each cable, we add the length of bridge and the extra length of the cable. That is, we add 1,595 feet (length of bridge) to 1,983 feet (extra length of cable).

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[tex]\textbf{Answer:}[/tex]

[tex]3[/tex]

[tex]\textbf{Step-by-step explanation:}[/tex]

[tex]\textrm{The x int. can be determined when y is equal to zero.}[/tex]

[tex]x - 0=3\\ x = 3[/tex]

Answer:

3

Step-by-step explanation:

x-y =3

To find the x intercept, set y=0

x-0 =3

x=3

Answer:

Statements 2, 3 and 4 are true.

Step-by-step explanation:

2.   < 1 and < 4 are alternate interior angles.

3.   < 3 and < 6  are vertical angles.

4.  There are 2 sets of alternate angles so the triangles are similar (< 1 and <4, and <2 and <5).

Line d is parallel to line c in the figure. The Statements 2, 3 and 4 are true.

Each of the pairs of opposite angles made by two intersecting lines is called a vertical angle.

Line d is parallel to line c in the figure.

The statements which are true are;

2. Angle 1 and Angle  4 are alternate interior angles.

3. Angle  3 and Angle 6 are vertical angles.

4.  There are 2 sets of alternate angles so the triangles are similar.

(Angle 1 and Angle 4, and Angle 2 and Angle 5).

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Answer:

In order to evaluate the given expression 17(144) using the distributive property, Julia would rewrite the expression in friendlier numbers that is:

(10+7)(100+40+4)

Step-by-step explanation:

We are given an expression 17(144) that we have to evaluate let us say without using the calculator.

Sometimes, it is easier to solve a complex problem in multiple steps as the problem gets distributed and the difficulty level lowers for multiple smaller sets.

Julia would rewrite the expression as:

(10+7)(100+40+4)

Then solve it using distribution method as follows:

10(100+40+4)+7(100+40+4)

1000+400+40+700+280+28

= 2448

The answer to this question is C. 17(100)+17(40)+17(4)

The way i got this answer was that i actually have done this question on a test and Was able to get it for you.

Answer:

all real numbers greater than or equal to -1

Step-by-step explanation:

i j took the test trust me

The range of the function  f(x) = (x − 4)(x − 2)  is  all real numbers greater than or equal to −1 .

The set of all output values of a function. Example: when the function f(x) = x2 is given the values x = {1,2,3,...} then the range is {1,4,9,...}

According to the question

The function f(x) = (x − 4)(x − 2)  

now, we multiply both braces

f(x) = x² - 6x + 8

Now we will plot the graph to  check for lowest point

x                   f(x)

0                    8

-1                    15

1                      3

2                     0

-2                   24

As per graph at x = 3 f(x) is minimum = -1

Therefore ,

Range = [-1,∞)

Hence, the range of the function  f(x) = (x − 4)(x − 2)  is  all real numbers greater than or equal to −1 .

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Step-by-step explanation:

8^x= 64

8²= 64

In logarithmic form,

log(base 8) 64= 2

The equation 8ˣ=64 in logarithmic form is written as log8(64) = x, where x is the exponent to which the base 8 is raised to obtain 64.

The equation 8ˣ=64 in logarithmic form, you have to understand the relationship between exponentials and logarithms. The logarithmic form of the equation is logb(a) = c, which means b to the power of c equals a. Given that 8 squared (8²) equals 64, you can express 8^x=64 as log8(64) = x, which is the logarithmic form of the given exponential equation.

Answer:

Negative Correlation

Explanation:

As the points progress by + x, the general pattern is to decrease in y.

Slope = m = rise/run = x/y

+x/-y = x/-y = -x/y. Negative correlation

Answer:

The graph in the attached figure

Step-by-step explanation:

we have

[tex]f(x)=3(4)^{x}[/tex]

This is a exponential function of the form

[tex]y=a(b)^{x}[/tex]

where

a is the initial value

b is the base

Remember that

The initial value is the value of the function when the value of x is equal to zero (y-intercept of the function)

In this problem

The y-intercept is the point (0,3)

therefore

using a graphing tool

The initial step is plot the point (0,3)

see the attached figure

Answer:

[f(-5)-f(-3)]/[-2]

Step-by-step explanation:

I don't know your quadratic but all you need to do evaluate

[f(-5)-f(-3)] divided by [-5-(-3)]

simplifying the denominator:

[f(-5)-f(-3)] divided by -2

So you need to find f(-5), this means replace x with -5

f(-3) means to replace x with -3

After you find those two answers subtract what you got for the pluggin in of -3 from the pluggin in of -5

After that subtraction divide by -2

Answer:

4/5 divided by 8 = 4/(5*8) = 1/10

1: 8/10 divided by 8 = 8/(10*8) = 1/10

2: 8/5 divided by 4 = 8/(5*4) = 4/10

3: 5/4 multiplied by 8 = (5*8)/4 = 100/10

4: 4/5 multiplied by 8 = (4*8)/5 = 64/10

So the answer is 1.

Step-by-step explanation:

To find the expression equivalent to 4/5 divided by 8, you should perform the calculations. Only the expression 8/10 divided by 8 equates to the same value as the original expression.

Firstly, let's calculate your original expression 4/5 divided by 8. Given expression turns into 4/5 * 1/8 = 4/40 = 1/10. Now, let's examine the proposed equivalent expressions:

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Answer:

The ordered pair for the system of equations is (x,y) i.e (4,7)

Step-by-step explanation:

Ordered pair is the represented as (x,y) i.e value of x and value of y.

We are given system of equations:

2x+4y=36      eq(1)

6x+2y=38     eq(2)

and after solving above equations value of x is found to be 4.

We need to find the value of y.

We can find value of y by putting value of x in eq(1)

2x+4y=36

2(4)+4y =36

8+4y = 36

4y = 36-8

4y = 28

y = 7

So, value of y is 7

The ordered pair for the system of equations is (x,y) i.e (4,7)

Answer:

The ordered pair is: (4, 7)

Step-by-step explanation:

We have the following system of equations

[tex]2x+4y=36[/tex]

[tex]6x+2y=38[/tex]

To find the ordered pair that represents the solution to the system of equations we need the value of x and the value of y.

We already know that x = 4.

Then we substitute the value of x in any of the two system equations and solve for the variable y.

[tex]2(4)+4y=36\\\\8 + 4y=36\\\\4y=36-8\\\\4y=28\\\\y=\frac{28}{4}\\\\y=7[/tex]

The ordered pair is: (4, 7)

Answer:

I b3live it is 50 miles/hour

Step-by-step explanation:

We need to know how many miles he drove from 9:00 to 10:30 so you do 150-75 which is 75. Then, you do 75÷1.5 because 9:00 and 10:30 are an hour and a half apart and then you get 50 mph.

Answer:

x >  560

Step-by-step explanation:

0.1x + 0.25(102 - x) < 17.10

simplify

0.1x + 25.5 - 0.25x < 17.10

subtract 25.5 from both sides

0.1x + 25.5 - 25.5 - 0.25x < 17.10 - 25.5

0.1x  - 0.25x < - 84

- 0.15x < - 84

divide both sides by - 0.15

x < -84/-0.15 = 560

When you divide or multiply by a negative, the sign changes

x >  560

Hope this helps!

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To solve the inequality 0.1x + 0.25(102 - x) < 17.10, distribute, combine like terms, and isolate x to find that the values for x that make the inequality true are x > 56.

To find the values of x that make the inequality 0.1x + 0.25(102 - x) < 17.10 true, we need to solve the inequality. First, we distribute 0.25 to get 0.1x + 25.5 - 0.25x < 17.10. Then, combining like terms gives -0.15x + 25.5 < 17.10. Next, we subtract 25.5 from both sides to get -0.15x < -8.4. Finally, dividing both sides by -0.15 gives x > 56.

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Answer:

7/24

Step-by-step explanation:

7th grade

Boys = 5

Total Students = 5boys + 5 girls = 10 students

Probability of picking a random boy

= 5 boys out of 10 students

= 5/10

8th grade

Boys = 7

Total Students = 7 boys + 5 girls = 12 students

Probability of picking a random boy

= 7 boys out of 12 students

= 7/12

Probability of picking 2 boys

=  [tex]\frac{5}{10}[/tex] x [tex]\frac{7}{12}[/tex]

= [tex]\frac{7}{24}[/tex]

Answer:

9

Step-by-step explanation:

The factors of 9 are: 1, 3, 9

The factors of 45 are: 1, 3, 5, 9, 15, 45

Then the greatest common factor is 9.

The GCF of 45 and 9 is 9.

To find the greatest common factor we need to prime factorize 9 and 45 and then find the product of the factors common between the two. This can be represented mathematically as follows:

[tex]45 = 3 \times 3 \times 5\\9 = 3 \times 3[/tex]

Thus we can see that two pair of 3 are common factors between 9 and 45. Thus the GCF [tex]= 3 \times 3 = 9[/tex]

Therefore, the GCF of 45 and 9 is 9.

Step-by-step explanation:

√a / (√a - 2)

To rationalize the denominator, you need to multiply the fraction by the conjugate:

√a / (√a - 2) × (√a + 2) / (√a + 2)

√a (√a + 2) / ((√a - 2) (√a + 2))

(a + 2√a) / (a - 4)

Answer:

5

Step-by-step explanation:

Find the degree of each monomial term of the polynomial. The highest degree is the answer.

deg(3x^4)=4

deg(-4x^3y)=3+1=4

deg(6x^2y^2)=2+2=4

deg(-8x^2y^3)=2+3=5

deg(-7y^4)=4

deg(2)=0

The highest degree there is 5 so that is the degree of the polynomial.

The degree of a polynomial is the highest power of any variable in that polynomial. For the polynomial 3x⁴-4x³y+6x²y²-8x²y³-7y⁴+2, because the highest power is 4, the degree of the polynomial is 4.

The highest exponent of the variable in a polynomial determines its degree. In the provided polynomial, 3x⁴-4x³y+6x²y²-8x²y³-7y⁴+2, the degree of this polynomial is 4 because the highest power of the variable is 4. which can be seen in the terms 3x⁴ and -7y⁴.

It's important to note that while determining the degree of a polynomial, we consider the power (or degree) of individual terms and not their combined power. For example, in the term -4x³y, x has a degree of 3 and y has a degree of 1. The degree of -4x³y will still just be 3 (and not 4) as we only consider the highest degree within that term.

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