Please help me solve the problem

Answer:

(10, −13); (15, −20)

Step-by-step explanation:

Answer:

30 and 38

Step-by-step explanation:

If x is the smaller number and y is the larger number:

x + y = 68

x = y - 8

Solve with substitution:

y - 8 + y = 68

2y = 76

y = 38

x = 30

So the two numbers are 30 and 38.

Answer:

Smaller number = 30

Larger number = 38

Step-by-step explanation:

68 = (x+8) + x

68 = 2x - 8

60 = 2x

30 = x

and

68 = (x-8) + x

68 = 2x - 8

76 = 2x

38 = x

Answer:

[tex]x =26\°[/tex]

Step-by-step explanation:

For this case we have 2 secant lines and an exterior angle x.

Then by definition the measure of the outer angle is equal to half the difference of the arcs formed by the sides.

This means that the angle x is equal to:

[tex]x =\frac{66\°-14\°}{2}\\\\x =26\°[/tex]

the answer is:

[tex]x =26\°[/tex]

Answer:

x = 34

Step-by-step explanation:

The 3 given angles form a straight angle and sum to 180°, hence

x + 12 + 100 + x = 180

2x + 112 = 180 ( subtract 112 from both sides )

2x = 68 ( divide both sides by 2 )

x = 34

Answer:

x=34

Step-by-step explanation:

Alright.

x+12+100+x=180

         2x+112=180

                2x=68

                   x=34

Answer:

12

Step-by-step explanation:

The only possible answer if 12 because all of the other choices come to the conclusion that 8h ≤ 64

if h=12 then 8h= 8 * 12 = 96 > 64

The value of h is 12.

Multiply the length, width, and height of a rectangular prism to determine its volume. Cubic measurements are used to express volume.

Given,

The only possible answer is 12 because all of the other choices come to the conclusion that 8h ≤ 64

if h=12 then 8h= [tex]8 * 12[/tex] = 96 > 64

To know more about rectangular prism  refer to :

https://brainly.com/question/477459

#SPJ2

Answer:

if u can divide it to two

Step-by-step explanation:

Answer:

Cost of yard silk fabric : $35

Cost of yard of woolen fabric: $60

Step-by-step explanation:

This problem must be represented as a linear system of equations

Let

x = the cost of 1 yard of woolen fabric

y = the cost of 1 yard of silk fabric

The problem tells us

4 yards of woolen fabric costs $30.00 more than 6 yards of silk fabric.

4.x = 6.y + 30

cost of the silk is $25.00 less than the cost of the wool

y = x - 25

The system of equations is

4x - 6y =  30

x - y  = 25

If we solve this system of equations using a calculator or computational tool, we get the following values

x = $60

y = $35

The formula for the area of a rectangle is...

Area = length x width

A = L x W

What we know so far...

Area is 590 cm^2

length is 12 cm

width is unknown

Plug all of these into the equation for area of a rectangle:

590 = 12 * w

or

590 = 12w

Letter A is the correct answer

Hope this helped!

~Just a girl in love with Shawn Mendes

Answer:

  D.  (x-5)^2 = 36

Step-by-step explanation:

If you add 11 to the given equation, you get ...

  x^2 -10x = 11

Then you can add the square of half the x-coefficient to complete the square.

  x^2 -10x +25 = 11 +25

  (x -5)^2 = 36 . . . . simplify to the appropriate form

Answer:

5

Step-by-step explanation:

Blue: when x = - 3, y = 5

Green: when x = -3, y = 0

The difference between the two graphs at X = -3 : 5 - 0 = 5

Answer

5

Answer:

vertex (-3,5) and another pt (-2,4)

Step-by-step explanation:

It is in vertex form so the vertex is (-3,5)...

Now just plug in a value for x say like -2...

f(-2)=-(-2+3)^2+5

f(-2)=-(1)^2+5

f(-2)=-1+5

f(-2)=4

So another point is (-2,4)

Answer:

y-int = 5

roots: sqrt(5)-3 or -3 - sqrt(5)

TP @ (-3,5)

Step-by-step explanation:

y intercept = 5 (when x = 0)

Roots:

When y = 0

5 - (x + 3)^2 = 0

(x+3)^2 = 5

Square both sides:

x + 3 = Sqrt[5] or x + 3 = - Sqrt[5]

x = Sqrt[5] - 3 or x= - 3 - Sqrt[5]

Turning point (Critical Point):

dy/dx (5-(x+3)^2) = - 2 (x+3)

Solve -2 (x+3) = 0

x = - 3

y = 5

Max point at (-3,5)

Answer:

center at (6, -4) r = √7

Step-by-step explanation:

(x – 6)^2 + (y + 4)^2 = 7

This is in the form

(x – h)^2 + (y - k)^2 = r^2

Where (h,k) is the center of the circle and r is the radius of the circle

Rearranging the equation to match this form

(x – 6)^2 + (y -- 4)^2 = sqrt(7) ^2

The center is at (6, -4) and the radius is the sqrt(7)

Answer:

center at (6, -4) r = √7

Step-by-step explanation:

(x – 6)^2 + (y + 4)^2 = 7 This is in the form (x – h)^2 + (y - k)^2 = r^2 Where (h,k) is the center of the circle and r is the radius of the circle Rearranging the equation to match this form (x – 6)^2 + (y -- 4)^2 = sqrt(7) ^2 The center is at (6, -4) and the radius is the sqrt(7)

Answer:

  3520 ft/min

Step-by-step explanation:

40 mi/h = (40 mi/h)×(5280 ft/mi)×(1 h)/(60 min) = 3520 ft/min

_____

Each conversion factor has a value of 1 (numerator = denominator), so changes the units without changing the speed.

Final answer:

To convert 40 mi/h to feet per minute, multiply by 5280 feet per mile and then divide by 60 minutes per hour, resulting in a speed of 2400 ft/min. So the correct option is a. 2,400 ft/min.

Explanation:

To convert the speed of a car from miles per hour (mi/h) to feet per minute (ft/min), we need to know the following conversions:

1 hour = 60 minutes

Now, we can use these conversions to calculate the speed:

40 mi/h
40 mi/h = 40
(5280 ft/mi)
(60 min/hour) = 2,400 ft/min.

The car is driving at a speed of  2,400 ft/min.

Answer:

  A = 4π(7)^2

Step-by-step explanation:

The formula for the area of a sphere is ...

  A = 4πr^2 . . . . . . for radius r

When the radius is 7 feet, the value 7 goes where r is in the formula:

  A = 4π·7^2 . . . . . square feet

For this case we must factor the following expression:

[tex]4x ^ 3 + x ^ 2-8x-2[/tex]

We group the first two and the last two terms:

[tex](4x ^ 3 + x ^ 2) + (- 8x-2)[/tex]

We factor the highest common denominator of each group:

[tex]x ^ 2 (4x + 1) -2 (4x + 1)[/tex]

We take the common factor[tex]4x + 1:[/tex]

[tex](4x + 1) (x ^ 2-2)[/tex]

Answer:

[tex](4x + 1) (x ^ 2-2)[/tex]

Answer:

c(x) = –8x^2 + 3x – 5 is a quadratic function.

Step-by-step explanation:

At first, we will define what a quadratic function is.

A quadratic function is a polynomial with one or more variables with degree 2.

So, from the given functions

a(x) = -2x^3+ 2x – 6 has highest degree 3. So it is not a quadratic function.

b(x)=5x^3 + 8x^2 + 3 has highest degree 3. So it is not a quadratic function.

c(x) = –8x^2 + 3x – 5 has highest degree 2. So it is a quadratic function.

d(x) = 6x^4 + 2x – 3 has highest degree 4. So it is not a quadratic function.

Answer:

Step-by-step explanation:

Step-by-step explanation:

49-30=19, then add 19+16, then you get the answer of 35!

Hope this helps!

Answer:

  a) see the plots below

  b) f(x) is exponential; g(x) is linear (see below for explanation)

  c) the function values are never equal

Step-by-step explanation:

a) a graph of the two function values is attached

__

b) Adjacent values of f(x) have a common ratio of 3, so f(x) is exponential (with a base of 3). Adjacent values of g(x) have a common difference of 2, so g(x) is linear (with a slope of 2).

__

c) At x ≥ 1, the slope of f(x) is greater than the slope of g(x), and the value of f(x) is greater than the value of g(x), so the curves can never cross for x > 1. Similarly, for x ≤ 0, the slope of f(x) is less than the slope of g(x). Once again, f(0) is greater than g(0), so the curves can never cross.

In the region between x=0 and x=1, f(x) remains greater than g(x). The smallest difference is about 0.73, near x = 0.545, where the slopes of the two functions are equal.

Answer:

b. The function f(x) appears exponential because its graph approaches but does not cross the negative x-axis, while growing at a faster and faster rate to the right (or precisely: as x increases by 1, the value gets multiplied by the same constant, 3.) The function g(x) is linear since g(x) increases by the same amount as x increases in steps of one unit.

c. The graph appears to show that the functions do not intersect, so the function values will not be equal. The function f is already above the function g and it is growing at a faster rate, so they cannot ever be equal.

Step-by-step explanation:

used the answer above just changed a few words and all

Answer:

5 but its probaly not right bc im just looking for pointsStep-by-step explanation:

Amplitude = 2; period T = π; midline y = 1.

This sinusoidal wave is a even function which means that it has a positive half-cycle and a negative half-circle of equal size, from the image we can see that the midline is y = 1 which is the point where the function is centered.

The amplitude is the measure from the midline to the positive half-cycle, and the midline to the negative half-cycle which is 2.

The period corresponds to a complete cycle of the function or the repetition of the wave seen from a point. In this case, we can see that the wave, starting from π/2 it repeat in 3π/2. So, to calculate the period just substract 3π/2 by π/2

T = 3π/2 - π/2 = (3π - π)/2

T = 2π/2

T = π

Answer:

  3

Step-by-step explanation:

Solving the inequality gives ...

  x/9 < 2/5

  x < 18/5 . . . . multiply by 9

Applying the problem restrictions, we have ...

  0 < x < 3.6 . . . . . x is an integer

Solutions are {1, 2, 3}. There are 3 distinct possible values for x.

Answer:

B.38

Step-by-step explanation:

Answer:

The correct answer is B. The number of rides and the total cost are both dependent variables, as both depend on the amount of money that Nia has.

Step-by-step explanation:

Both the number of rides and the total cost are variables that depend on the amount of money that Nia has. This is so because the passage has a cost, and that cost can not exceed the amount of money that Nia has, because if she exceeds her $ 19.50 she won't be able to pay the ticket. Then, Nia has a possible amount of 26 rides as maximum (19.5 / 0.75 = 26), and the maximum total cost that can be paid is $ 19.50.

Final answer:

The correct answer is: C) The number of rides is the independent variable, and the total cost is the dependent variable.

Explanation:

In the scenario where Nia has $19.50 to ride the subway around New York, at a cost of $0.75 per ride, the correct identification of the dependent and independent variables is crucial for understanding the relationship between these quantities.

The independent variable is the number of rides Nia can take. This is because it is the variable over which we have control or can set at different levels; in other words, Nia decides how many trips she takes.

The dependent variable is the total cost of these rides. The cost depends on how many rides she takes, changing accordingly with that number.

Therefore, the correct answer is: C) The number of rides is the independent variable, and the total cost is the dependent variable.

Answer:

  = (x +4)(x -7)(x^2 +25)

  roots are -4, 7, ±5i

Step-by-step explanation:

You have not said what "solve" means in this context. An expression by itself doesn't have a solution. We have assumed you want to find the factoring and/or roots of it.

I like to use a graphing calculator to find the real roots. For this expression, there are two of them, one positive and one negative. (You know there will be one positive real root, and at least one negative real root, from Descartes's rule of signs.)

Then those roots can be factored out and the solution to the remaining quadratic determined. That factoring can occur by polynomial long division, synthetic division, or other means.

I like to see what happens when I plot the graph of the function divided by the known factors. (We expect a parabola that doesn't cross the x-axis.) The vertex of that parabola can be used to find the remaining roots.

The x-intercepts of the given expression are -4 and +7, so two of the factors are (x+4) and (x-7). Dividing these from the given expression (by synthetic division or other means) gives (x^2 +25). This only has imaginary roots (±5i).

____

If you're constrained to doing this "by hand" with only a scientific calculator, Descartes's rule of signs tells you there is one positive real root. (Only one sign change in the sequence of coefficient signs: +----.)

The rational root theorem tells you it will be a divisor of 700. Various estimates of the maximum magnitude of it will tell you it is probably less than 14 (easily checked). So, the numbers you can test as roots would be 1, 2, 4, 5, 7, 10, 14. You will find that 7 is a root, and then you can reduce the problem to the cubic x^3 +4x^2 +25x +100.

When odd-degree term signs are changed, there will be 3 sign changes (-+-+), hence at least one negative real root. The rational root theorem tells you it is a divisor of 100, so possible choices are -1, -2, -4, -5. By trial and error or other means, you can find the root to be -4. Then the problem reduces to the quadratic x^2 +25.

Roots of that are ±√(-25) = ±5i.

This process generally entails a fair amount of trial-and-error work, which is why I prefer one that makes some use of technology.

_____

We have presumed you have some familiarity with ...

This will usually be the case when you're presented with problems like this. If you need additional information on any of these, it is readily available on the internet (and probably also in your reference material).

Answer:

All events are independent

Step-by-step explanation:

You are given the table

[tex]\begin{array}{cccc}&\text{Chocolate}&\text{Vanilla}&\text{Total}\\\text{Adults}&0.21&0.39&0.60\\\text{Children}&0.14&0.26&0.40\\\text{Total}&0.35&0.65&1.00\end{array}[/tex]

Two events A and B are independent when

[tex]Pr(A\cap B)=Pr(A)\cdot Pr(B)[/tex]

a) A="Chocolate"

B="Adults"

A and B="Chocolate and Adults"

[tex]Pr(A)=0.35\\ \\Pr(B)=0.60\\ \\Pr(A\cap B)=0.21[/tex]

Since [tex]0.35\cdot 0.60=0.21[/tex] events are independent

b) A="Children"

B="Chocolate"

A and B="Children and Chocolate"

[tex]Pr(A)=0.40\\ \\Pr(B)=0.35\\ \\Pr(A\cap B)=0.14[/tex]

Since [tex]0.40\cdot 0.35=0.14[/tex] events are independent

c) A="Vanilla"

B="Children"

A and B="Vanilla and Children"

[tex]Pr(A)=0.65\\ \\Pr(B)=0.40\\ \\Pr(A\cap B)=0.26[/tex]

Since [tex]0.65\cdot 0.40=0.26[/tex] events are independent

Answer:

Step-by-step explanation:

No solution means that the 2 lines will never intersect in a coordinate plane.  The only kinds of lines that can exist within the same coordinate plane and never intersect are lines that are parallel.  The slopes have to be the same for lines to be parallel.  The y-intercept, or where they go through the y axis, won't be the same, but the value of the slope has to be.  The slope of the equation on the right is 33, so if these lines are parallel, then Q has to equal 33.  P can then be any real number NOT equal to 25.

Answer:

A.f(n) = f(n − 1) + 4

Step-by-step explanation:

4+4 = 8

8+4 = 12

We are adding 4 to the term  before it

f(n) = f(n-1) +4

Answer: A.f(n) = f(n − 1) + 4 Hope this helps :)

Answer:

  (d -21) is the number of days the book is late

Step-by-step explanation:

There is no fee if the book is returned within 21 days, so d-21 represents the number of "late days" for which a fee is charged.

Answer:

(d -21) is the number of days the book is late

Step-by-step explanation:

Answer:

.5b

Step-by-step explanation:

( .125 b^3) ^ 1/3

We know that ( xy) ^c = x^c  * y ^c

( .125) ^ 1/3   (b^3) ^ 1/3

Rewriting .125 as .5^3

( .5^3) ^1/3 ( b^3) ^ 1/3

We know that a^c^d = a^(c*d)

.5 ^ (3*1/3)   b ^ (3*1/3)

.5 b

Answer:

see explanation

Step-by-step explanation:

1

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

here m = - [tex]\frac{1}{4}[/tex], hence

y = - [tex]\frac{1}{4}[/tex] x + c ← is the partial equation

To find c substitute (8, - 1) into the partial equation

- 1 = - 2 + c ⇒ c = - 1 + 2 = 1

y = - [tex]\frac{1}{4}[/tex] x + 1 ← in slope- intercept form

2

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

here m = - 1 and (a, b) = (- 2, 5), hence

y - 5 = - (x - (- 2)), that is

y - 5 = - (x + 2)