How many solutions are there for the system of equations of shown on the graph?
O No solution
O One solution
O Two solutions
O Infinitely many solutions

The value of each algebraic expressions are:

1. 16

2. 156

3. 87

4. 3

5. 300

6. 4

7. 68

An algebraic expression is a mathematical statement involving variables and digits. It is evaluated by plugging in the value of the variables.

1. Product of y and 12 is 12y

100 - 12y

Plug in the value of y

100 - 12(7) = 16

2. b(15 + 37) = b(52) = 3(52)

= 156

3. Product of z and 12 is 12z

12z + 27 = 12(5) + 27

= 87

4. 135 ÷ 5c = 135/5(9)

= 3

5. w²(12/4) = 3w²

= 3(10²)

= 300

6. 12d ÷ (25 - 19)

12d/6 = 12(2)/6

= 4

7. 13 + 5x

13 + 5(11)

= 68

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Subtraction is a mathematical operation that reflects the removal of things from a collection. The ribbon that Millie already had is 7.1 feet.

Subtraction is a mathematical operation that reflects the removal of things from a collection. The negative symbol represents subtraction.

Given Millie needs a total of 7.8 feet of ribbon for a school project. Also, She needs 0.7 more feet of ribbon. Therefore, the ribbon that Millie needs is,

Ribbon Millie had = Total Ribbon - ribbon that is needed

                              = 7.8 feet - 0.7feet

                              = 7.1 feet

Hence, the ribbon that Millie already had is 7.1 feet.

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Answer:

Domain & Range are both all real numbers.

Step-by-step explanation:

i

If this was a traditional parabola, the range would be y<=4. However, the arrow on the left going back up means eventually y will go to both positive & negative infinity.

The initial amount is $800.

Interest is the price you pay to borrow money or the cost you charge to lend money.

Given:

Simple interest = 1.25% = 0.0125

So, interest in half a year.

=0.0125 ÷ 2

= 0.00625

Now,

=5 / 0.00625

= 800

Hence, the initial deposit was $800

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Answer:

-10

Step-by-step explanation:

y2- y1 -7 -3

---------- ----------

x2 - x1 -6 6

Let's take this problem step by step:

What we know:

 [tex]x+y=4\\xy=-2[/tex]

Before we solve, let's do one thing that will help us out greatly later down the road:

 [tex]x+y=4\\(x+y)^2=4^2\\x^2+2xy+y^2=16\\x^2+2(xy)+y^2=16\\x^2+2(-2)+y^2=16\\x^2+4+y^2=16\\x^2+y^2=20[/tex]<--- useful equation

Let's rearrange the problem a little bit:

 [tex]x+\frac{x^3}{y^2}+\frac{y^3}{x^2} +y=\frac{x^3}{x^2} +\frac{x^3}{y^2}+\frac{y^3}{x^2}+\frac{y^3}{y^2}[/tex]

Combine fractions of common denominators:

[tex]\frac{x^3+y^3}{x^2} +\frac{x^3+y^3}{y^2} =(x^3+y^3)*(\frac{1}{x^2}+\frac{1}{y^2} )[/tex]

Now's let factor everything apart:

 [tex](x^3+y^3)=(x+y)(x^2-xy+y^2)\\\\\frac{1}{x^2}+\frac{1}{y^2} =\frac{x^2+y^2}{x^2y^2}[/tex]

Let's use what we know and our useful equation:

 [tex](x+y)*(x^2-xy+y^2)*(\frac{x^2+y^2}{x^2y^2} )\\=4*(x^2+y^2-xy)*(\frac{20}{(xy)^2} )\\=4*(20-(-2))*\frac{20}{(-2)^2} \\=4*22*5\\=440[/tex]

The value is 440

Answer: 440

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Considering that 160,000 is the y-intercept of the function, it's significance is given by:

the initial population at the time of the estimation.

The y-intercept is f(0), that is, the value of y when x = 0, which is interpreted as the initial value of the function.

Researching this problem on the internet, it is found that f(0) = 160,000, hence the significance of 160,000 in the function is given by:

the initial population at the time of the estimation.

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Answer:

see the attachment photo!

Vectors are elements of the vector space, and they can be illustrated by diagrams.

The vector expression is given as:

2u + 4v

Split the vector expressions, as follows:

y1 = 2u

y2 = 4v

Next, we have:

y = y1 + y2

See the attachment for the graph of 2u + 4v.

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Answer:

all angles of the triangles is 60

Step-by-step explanation:

the perimeter = 2*side of an isosceles triangle + bottom edge

----> bottom edge = the perimeter - 2*side of an isosceles triangle  =25

----> This is an equilateral triangle ----> all angles of the triangles is 60

The Gershwin Theatre collected the money from ticket sales of the Saturday performance would be $89180.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

At the Saturday matinee, 350 people attended the show.

The total number of people who watched the show on Saturday = 350

For the Saturday evening performance, 40% more people attended the performance.

350 x 40%

= 350 x 0.4

= 140

Total people will be = 350 + 140 = 490

If the average cost of tickets was $182

For 490 people = 490 x 182 = $89180

Hence, the Gershwin Theatre collected the money from ticket sales of the Saturday performance would be $89180.

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Answer:

g = 24 - 1/25m

Step-by-step explanation:

Since the Cadillac Escalade can travel 25 miles per gallon, each mile the Escalade travels is 1/25th of a gallon of gas.

This means that every mile the Escalade travels, 1/25th of a gallon is subtracted from the gas tank. Since the gas tank has a capacity of 24 gallons, the value of the gas tank is 24.

This leads us to the equation:

g = 24 - 1/25m

where g is the amount of gas left, and m is the number of miles driven.

Answer:

20ft²

Step-by-step explanation:

Answer:

3 days, 27

Step-by-step explanation:

After 3 days :

After 3 days, the number of belts and wallets sold will be the same, equal to 27.

After 3 days, the number of belts and wallets sold will be the same, equal to 27.

It is given that the number of belt sold s, x days after its online lunch  s=3^x

and s=4x+15.

To find correct answer in each box.

The branch of mathematics dealing with the properties and manipulation of numbers.

After 3 days :

3³ = 27 belts

4(3) + 15 = 12 + 15 = 27 belts

So, after 3 days, the number of belts and wallets sold will be the same, equal to 27.

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Answer:

b=5d+5f

solve for b by simplifying both sides and then isolating the variable.

376

Step-by-step explanation:

Using it's concept, it is found that Brandon's net yardage for the game was of 26.

The total net yardage is the sum of all the yardage they gain, that is, the positive gains are added with a plus signal, while the negative gains are added with a negative signal.

Hence, his net yardage, considering that he gained 20 yards on his last 7 carries, is given by:

6 + 20 = 26.

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Answer:

Use the graphing calculator to graph the system of equations and find the solution where x is the total hats sold and y is the total t-shirts sold.

x + y = 152,

8.5x + 12y = 1,656

How many hats were sold?

hats

Step-by-step explanation:

a) 74.857% of adult men are shorter than Michael

b) 84.134% of adult men are taller than Jack

c) 58.991% of adult men are of height between Jack and Michael

Within one standard deviation of the mean is 68% of the population. Within two standard deviations of the mean, 95% of the population is located. The median is within 3 standard deviations for 99.7% of the population.

Given:

µ = 70in,  σ = 3in.

We know Z = (x-µ)/σ

a) Actor Michael B. Jordan is 6’0” (72”) tall.

Z = (72-70)/3 = 0.67

So, the probability of an adult man having a height of 0-72 inches, and no greater is 74.857%

b. Comedian Jack Black is 5’7’ (67”) tall.

Z = (67-70)/3 = -1

The corresponding value is .15866 which can be the probability of an adult man having a height of 0-67 inches, and no greater.

But  the percentage of those taller than jack is = 1 – .15866 = 0.84134

c) P(X < 72) – P(x < 67)

= 0.74857 – 0.15866

= 0.58991

= 58.991%

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The Question attached here is incomplete, the complete question is

a. Actor Michael B. Jordan is 6’0” (72”) tall.  What percentage of adult men are shorter than Michael?

b. Comedian Jack Black is 5’7’ (67”) tall. What percentage of adult men are taller than Jack?

c. What percentage of adult men are of height between Jack and Michael?

Answer:

1 - [tex]1^{2}[/tex]

12 - ?

4 - square root of 16

64 - [tex]8^{2}[/tex]

16 - [tex]4^{2}[/tex]

2.828 - square root of 8

Step-by-step explanation:

I need more terms to match

Square root of 16 is 4, square root of 8 is 2, but for an answer it would be , 4² is 16, 1² is 2, number 5 would be 64 and number 6 would be 12.

A mathematical value can generally be any specific mathematical object. This is most frequently a number in elementary mathematics, such as a real number like or an integer like 42. Every integer or even other mathematical object set to a variable or constant is that object's value.

A mathematical expression's value is the outcome of a computation it describes when its variables and constants are given values. The amount that the function assumes for these argument numbers is the result of a function, assuming the value(s) provided to its argument(s).

Square root of 16 is 4, square root of 8 is 2, but for an answer it would be , 4² is 16, 1² is 2, number 5 would be 64 and number 6 would be 12.

Therefore, Square root of 16 is 4, square root of 8 is 2, but for an answer it would be , 4² is 16, 1² is 2, number 5 would be 64 and number 6 would be 12.

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Answer:

I'll do it the answer to x is 5 0 the answer to y will be 0 10

Answer:

18

Step-by-step explanation:

substitute x = 5 into g(x) and x = 2 into h(x)

g(5) + h(2)

= 2(5) - 5 + 4(2) + 5

= 10 - 5 + 8 + 5

= 5 + 13

= 18

The quotient of the synthetic division problem is "f(x) = -2x² + 9x + 5" (Option C).

When a polynomial division is executed using the shorthand method, using a linear factor, one is  said to have executed a Synthetic Division.

The synthetic division translates to

- 2 15 -22 -15

3 | -6 27 15

-2 9 5 0

Citing the coefficient of the quotient of the first three numbers:

- 2, 9, 5. The last number is given as the remainder.

Hence the remainder is zero.

Given that the coefficient of the quotient are three, the interpretation is that the polynomial greatest degree is 2.

Thus,

f(x) = -2x² + 9x + 5

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The value of the x will be 25. The force involved vertically to the surface of an object per unit area is pressure.

The force applied perpendicular to the surface of an item per unit area across which that force is spread is known as pressure.

The given data in the problem is;

The base of the block of metal is a rectangle of 20 cm by x cm.

The block exerts a force of 1500 newtons on the ground. The pressure on the ground is 3 newtons/cm²

The area of the rectangle;

A = L × B

A=20 × x

[tex]\rm P = \frac{F}{A}\\\\ 3 N / cm^2 = \frac{1500 N}{20 \times x } \\\\ x= 25[/tex]

Hence the value of the x will be 25.

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Answer:

Option C: 41

Step-by-step explanation:

<ABD+<CBD=90

<ABD=8x+1

<CBD=6x+5

(8x+1)+(6x+5)=90

Combine like terms

(8x+6x)+(1+5)=90

14x+6=90

14x=90-6

14x=84

divide both sides by 14

x=6

Now we plug that value into <DBC = 6x+5

6(6)+5=

36+5

41

Let's take this problem step by step:

∠ABC is 90 degrees

 ⇒ made up of two angles ⇒ ∠ABD and ∠DBC

     ⇒ in mathematical equation form:

            [tex]ABD + DBC= ABC[/tex]

Since ∠ABD = 8x + 1 and ∠DBC = 6x+5

    [tex]8x + 1+6x + 5=90\\14x+6=90\\14x=84\\x=6[/tex]

Let's plug it into ∠DBC = 6x+5

  ∠DBC = 6x+5 = 6(6)+5=41

Answer: ∠DBC = 41

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The results of the arithmetic evaluations as given in the task content are; 40,42 and 62.

The arithmetic operations above can be evaluated and simplified as follows;

(11-8)x3+7+27-3 = (3×3)+7+27-3 = 40.

(18÷3)+6+(14-8)x5 = (6)+6+(6)x5 = 42.

(11-7)x6+4+32-4 = (5×6) +4 +32-4 = 62.

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The average rate of change on the interval (5, 6) is 9. So the correct option is D.

Here we want to find the average rate of change of f(x), the function on the table, on the interval (5, 6).

This is just:

[tex]r = \frac{f(6) - f(5)}{6 - 5}[/tex]

[tex]f(x) = a*x^2 + b*x + c[/tex]

I we look at the table we see that:

[tex]f(1) = 1 = a + b + c[/tex]

[tex]f(2) =2 = 4a + 2b + c[/tex]

[tex]f(3) = 5 = 9a + 3b + c[/tex]

This is a system of equations.

If we subtract the second and first functions, we get:

[tex]2 - 1 = (4a + 2b +c) - (a + b + c)\\1 = 3a + b = a + b + c[/tex]

From that we take two relations:

[tex]1 - 3a = b\\2a = c[/tex]

Now we can replace these two in the last equations so we get:

[tex]5 = 9a + 3b + c\\\\5 = 9a + 3*(1 - 3a) + 2a\\\\5 = 9a + 3 - 9a + 2a\\\\5 = 3 + 2a\\\\5 - 3 = 2a\\\\2 = 2a\\\\a = 1[/tex]

Now that we know the value of a:

[tex]c = 2a = 2*1 = 2\\\\b = 1 - 3a = 1 - 3 = -2[/tex]

The quadratic equation is:

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

Evaluating this in x = 6 we get:

[tex]f(6) = 6^2 - 2*6 + 2 = 26[/tex]

And from the table we know that f(5) = 17, then the average rate of change is:

[tex]r = \frac{f(6) - f(5)}{6 - 5} = \frac{26-17}{1} = 9[/tex]

The correct option is D.

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Answer:

the angle that has the same measure as /2 is A