Patricia bought 4 apples and 9 bananas for $12. 70. Jose bought 8 apples and 11 bananas for $17. 70 at the same grocery store. What's the price of one apple?
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Answer: m = undefined

Step-by-step explanation:

-2-(-10) = 8

-1-(-1) = 0

m = 8/0

Which is an undefined slope

Answer:

The slope is undefined

Step-by-step explanation:

Plug in the points to the formula for slope (Formula Found Below). You would get (-2 + 10)/(-1 + 1), which simplifies to 8/0. Anything divided by 0 is undefined, which means that the slope is undefined.

Furthermore, you could also tell this simply by the points given. If two points on a line have the same x - coordinate, it means that the slope is undefined and that the line formed by the points isn't a function.

Formula for Slope:

\(\frac{y1 - y2}{x1 - x2}\)

Usable with 2 points of the line given ((x1, y1) and (x2, y2))

Answer:

The slope-intercept is \(y = 2x -2\) .

Step-by-step explanation:

-First, you need to find the slope by using the slope formula:

\(m =\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\)

-Second, use both points (6, 10) and (1, 0) for the formula:

\(m =\frac{0-10}{1-6}\)

-Third, you solve:

\(m =\frac{0-10}{1-6}\)

\(m = 2\)

-Fourth, after you found the slope, you need to use the Point-slope form equation:

\(y - y_{1} = m (x -x_{1})\)  (where \(m\) represents the slope, and \((x_{1},y_{1})\) represents the first coordinate or the first point).

-Fifth, use the slope 2 and the first point (6, 10) for the Point-slope form equation:

\(y - 10= 2 (x -6)\)

-Sixth, you solve the equation to get the slope-intercept form:

\(y - 10= 2 (x -6)\)

\(y -10 = 2x -12\)

\(y -10 +10 = 2x -12 +10\)

\(y = 2x -2\)

So, therefore, the slope-intercept is \(y = 2x -2\) .

Answer:

need more information

Hi!

Your answer to this question would be every option except for 0.

This is because the question is saying: x is less than or equal to negative 3.

Thus, you answer, all options except 0

Have a wonderful/night!

God bless!

Answer:

Look at the image.

Step-by-step explanation:

If 12 is 24%, then half of the percent is the actual number.

36% = 18

24% = 12

18% = 9

22% = 11

18 + 12 + 9 + 11 = 50

18 students would like to learn Spanish.

Given, the function is f(x,y,z)=5+yxz+g(x,z)Here, we need to find the directional derivative of f at the point (3,0,3) along the direction of the vector (0,4,0) . The directional derivative of f at the point (3,0,3) along the direction of the vector (0,4,0) is 0.

Using the formula of the directional derivative, the directional derivative of f at the point (3,0,3) along the direction of the vector (0,4,0) is given by

(f(x,y,z)) = grad(f(x,y,z)).v

where grad(f(x,y,z)) is the gradient of the function f(x,y,z) and v is the direction vector.

∴ grad(f(x,y,z)) = (fx, fy, fz)

                       = (∂f/∂x, ∂f/∂y, ∂f/∂z)

Hence, fx = ∂f/∂x = 0 + yzg′(x,z)fy

                = ∂f/∂y

                = xz and

fz = ∂f/∂z = yx + g′(x,z)

We need to evaluate the gradient at the point (3,0,3), then

we have:fx(3,0,3) = yzg′(3,3)fy(3,0,3)

                             = 3(0) = 0fz(3,0,3)

                             = 0 + g′(3,3)

                             = g′(3,3)

Therefore, grad(f(x,y,z))(3,0,3) = (0, 0, g′(3,3))Dv(f(x,y,z))(3,0,3)

                                                 = grad(f(x,y,z))(3,0,3)⋅v

where, v = (0,4,0)Thus, Dv(f(x,y,z))(3,0,3) = (0, 0, g′(3,3))⋅(0,4,0)   = 0

The directional derivative of f at the point (3,0,3) along the direction of the vector (0,4,0) is 0.

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Answer:

\(4\sqrt{14} q^{2}\)

Step-by-step explanation:

Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.

The statements that are true are:

π is the area of a circle of radius 1.

π is the circumference of a circle of diameter 1.

π is the constant of proportionality relating the diameter of a circle to its circumference.

A circle is a two-dimensional figure with a radius and circumference of 2 x pi x r.

The area of a circle is given as:

We have,

Circumference of a circle = 2πr

Area of a circle = πr²

π is the area of a circle of radius 1.

Area = πr² = π x 1 = π

π is the area of diameter 1.

2r = 1

r = 1/2

Area = πr² = π x 1/4 = π/4

π is the circumference of a circle of radius 1.

Circumference of a circle = 2πr = 2 x π x 1 = 2π.

π is the circumference of a circle of diameter 1.

Circumference of a circle = 2πr = 2 x π x 1/2 = π.

π is the constant of proportionality relating the diameter of a circle to its circumference.

Diameter ∝ Circumference

2r = 2πr

2r = π (2r)

π is the constant of proportionality relating the radius of a circle to its area.

r = (πr)r

Thus,

π is the area of a circle of radius 1 is true.

π is the circumference of a circle of diameter 1 is true.

π is the constant of proportionality relating the diameter of a circle to its circumference is true.

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The algebraic expression for 10 more than a number is x + 10 or 10 + x.

The x in the expression is called a variable, which can be represented by any letter in the alphabet.

An algebraic expression is a mathematical expression that consists of numbers, variables and operators, and its value can change.

Some basic mathematical operators are +, -, x and /.

The given phrase states that a result can be obtained by adding 10 more to the variable.

The variable x can be replaced by any number.

If x equals 2, then the expression x + 10 has a value of 12.

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560

1) PEMDAS so 2+14=16

2)55/11=5

3)5x7=35

4)35(16)=560

\(\rm sin\theta = \frac{10}{x} \ , cos \theta = \frac{\sqrt{10^2-x^2}}{x} ,\ \rm tan \theta =\frac{10}{\sqrt{10^2-x^2}}\) are the obtained values.

Trigonometry deals with the relationship between the sides and angles of a right-angle triangle.

From ΔABC it is obtained that;

From the pythogorous theorem;

h²=p²+b²

x²=10²+b²

b=√(10²-x²)

h=x

p=10

\(\rm sin \theta =\frac{p}{h} \\\\ sin\theta = \frac{10}{x}\)

\(\rm cos \theta =\frac{b}{h} \\\\ cos \theta = \frac{\sqrt{10^2-x^2}}{x}\)

\(\rm tan \theta = \frac{p}{b} \\\\ tan \theta =\frac{10}{\sqrt{10^2-x^2}}\)

Hence for the given triangle, the sinΘ,cosΘ, and tanΘ value is obtained above.

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Answer:

2: C

Step-by-step explanation:

To get the residual value, we have to subtract the predicted value from the real value

The predicted value is the one we get through the line of best fit

In this case, we have this as;

y = 0.25(4) + 12

y = 1 + 12 = 13

The real value as it can be seen is 15

So the difference between the values would be;

15-13 = 2

Answer = 5.5

You just have to add all the numbers together to get the answer

Answer:

78

Step-by-step explanation:

Since x=-3

6(2×(-3)^2-5)

6(2×9-5)

6(18-5)

6×13=78

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Answer:

No solutions

Step-by-step explanation:

5x^3 + 2 + 7x^2 = 7x^2 + 5x^3 +2

125x + 2 + 49x = 49x + 125x + 2

-125x                             -125x

2 + 49x = 49x + 2

-2 -49x    -49x  -2

0 = 0

Hope this helped :)

Answer:

6

Step-by-step explanation:

siri=6x-10

alexa= 50-4x

im making a table which is an easy way to tell or you can guess and check

X       S       A

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

 2     |    2    |42

  3    |   8     |38

   4   |     14   |34

  5    |   20     |30

   6   |     26   |26

The possible dimensions (length and width) of the field are:(10 m × 13 m) or (13 m × 10 m) and (11 m × 12 m) or (12 m × 11 m).

Given that Aaron has 47m of fencing to build a three-sided fence around a rectangular plot of land that sits on a riverbank. The fourth side of the enclosure would be the river.

The area of the land is 266 square meters.To find the possible dimensions (length and width) of the field, we can use the given information.The length of fencing required = 47 m.

Since the fence needs to be built on three sides of the rectangular plot, the total length of the sides would be 2l + w = 47.1. When l = 10 and w = 13, we have:

Length of the field, l = 10 m Width of the field, w = 13 mArea of the field = l × w = 10 × 13 = 130 sq. m2. When l = 11 and w = 12,

we have:Length of the field, l = 11 m

Width of the field, w = 12 m

Area of the field = l × w = 11 × 12 = 132 sq. m

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Therefore, the expression is undefined when the value of x = 7 or x = -3.

An equation is a mathematical statement that asserts the equality of two expressions. It typically involves one or more variables and can be written using mathematical symbols such as addition, subtraction, multiplication, division, exponents, and roots. The goal of solving an equation is to find the values of the variables that satisfy the equation.

Here,

To simplify the expression, we first factor the denominator:

x² - 4x - 21 = (x - 7)(x + 3)

Now, we can rewrite the expression as:

(12x + 36) / (x - 7)(x + 3)

We can simplify the numerator by factoring out 12:

12(x + 3) / (x - 7)(x + 3)

The (x + 3) terms cancel out, leaving:

12 / (x - 7)

So the simplified expression is 12 / (x - 7).

The restrictions on the variable come from the fact that the denominator cannot be equal to zero. So we set the denominator equal to zero and solve for x:

(x - 7)(x + 3) = 0

x = 7 or x = -3

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Answer: 2.8 minutes

Step-by-step explanation:

If it takes 12.5 gallons per minutes to fill the reservoir, then we have to divide 35 and 12.5.

35 ÷ 12.5 = 2.8 minutes

Since it takes 12.5 gallons per minutes to fill the reservoir, it will take 2.8 minutes to fill the reservoir.

hope this helps!

Answer:

A submarine descends at a rate of 2.6 kilometers per hour.

If the ocean floor is 6.24 kilometers below sea level, how long will it take the submarine to descend to the ocean floor?

Round your answer to the nearest tenth. Enter your answer in the box.

answer:

2.4

hours

Step-by-step explanation:

The poem For Want of a Nail is a warning about how small things can have large and unforeseen consequences. The lack of a horseshoe could lead to the loss of a horse, which could result in the loss of a rider, which could lead to the loss of a battle.

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Answer:

2r-3(r+7)-8r=10(r-1)

2r-3r-21-8r=10r-10

-9r-10r=-10+21

-19r=11

-19/11=r

Step-by-step explanation:

The final value is (1/3)(√2 - 1).

We can solve this using spherical coordinates where:

ρ is the distance from the origin to the point.

θ is the angle between the x-axis and the projection of the point onto the xy- plane.

φ is the angle between the z-axis and the line segment from the origin to the point.

The limits of integration for ρ, θ, and φ are:

0 ≤ ρ ≤ √2

0 ≤ θ ≤ π/4

arctan(√(1-x²)/y) ≤ φ ≤ arctan(√(2-x²-y²)/z)

We can set up the integral as follows:

∫∫∫T dV = ∫₀^π/4 ∫₀^√(1-x²) ∫√(x²+y²)^(2) √(2-x²-y²)ρ^2sin(φ) dρ dθ dφ

After solving this integral, we get the answer to be (1/3)(√2 - 1).

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Radius of Circle F is 19 cm. What is the diameter?

We know that,

r = 19 cm

d = 2r (Since diameter is equal to double of the radius) = 19 * 2 = 38 cm

So option d) 38 cm is the correct option.

Answer:

Zero slope is the answer

Step-by-step explanation:

Let's say x = number of customers, and y = number of tanks of gas.

The revenue is 10x.

The cost is 45y.

The profit is the revenue minus the cost.  We want the profit to be at least $6000.

10x − 45y ≥ 6000

Answer:16288.xy

Step-by-step explanation:

a) The probability of randomly selecting 4 males out of 7 spectators, given that 70% of the spectators are males, can be calculated using the binomial probability formula.

b) To find the probability that at most 5 of the randomly selected spectators are females, we need to calculate the cumulative probability of selecting 0, 1, 2, 3, 4, and 5 females from the total number of selected spectators.

a) To calculate the probability of selecting 4 males out of 7 spectators, we can use the binomial probability formula:

P(X = k) = C(n, k) * p^k * (1 - p)^(n - k)

Where:

- n is the total number of trials (number of people selected)

- k is the number of successful trials (number of males selected)

- p is the probability of success in a single trial (probability of selecting a male)

- C(n, k) is the binomial coefficient, calculated as C(n, k) = n! / (k! * (n - k)!)

In this case, n = 7, k = 4, and p = 0.70 (probability of selecting a male). Therefore, the probability of selecting 4 males out of 7 spectators is:

P(X = 4) = C(7, 4) * (0.70)^4 * (1 - 0.70)^(7 - 4)

b) To find the probability that at most 5 of the selected spectators are females, we need to calculate the cumulative probability of selecting 0, 1, 2, 3, 4, and 5 females. This can be done by summing the individual probabilities for each case.

P(X ≤ 5 females) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5)

To calculate each individual probability, we use the same binomial probability formula as in part a), with p = 0.30 (probability of selecting a female).

Finally, we sum up the probabilities for each case to find the probability that at most 5 of the selected spectators are females.

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Answer:

Here is the sample space:

(1, 1), (1, 2) (1, 3), (2, 1), (2, 2), (2, 3), (3, 1),

(3, 2), (3, 3)

Answer:

x=-2

Step-by-step explanation:

The line is vertical and/or undefined and it passes through the point (-2,5).