How do I graph the equations x=3 and y=-8

Answer:

11

Step-by-step explanation:

Corresponding angles are the angles which are formed in matching corners or corresponding corners with the transversal when two parallel lines are intersected by any other line (i.e. the transversal).

Answer:

√6

Step-by-step explanation:

Rational numbers can be written as fractions. 1/3 is a fraction. 0.141414... can also be written as a fraction (not gonna do cuz it's kind of complicated) and √4 is 2 which is 2/1. that leave √6

Albert) Let's define

Then,

To calculate A, we have the following compound interest formula:

L is easy to calculate:

To calculate B, we have a formula as well:

Then,

The balance of Albert's $2000 after ten years is $2159.07.

We may build up a proportion and solve for the scale model radius of Neptune using the ratio between the radii of the two planets and the known scale model radius of the Earth. The scale model of Neptune that is produced has a radius of around 9.7 cm.

We may take advantage of the fact that the ratio between the two planets' radii and the ratio between their respective scale model radii is the same. Let's name the Neptune scale model radius "r" Then, we may set up the ratio shown below:

Neptune's radius is equal to the product of Earth's radius and its scale model.

With the provided values, we may simplify and obtain:

24620 km / 6370 km equals 2.5 cm / r

We obtain the following when solving for "r":

r = (24620 km * 2.5 cm) / (6370 km)

r ≈ 9.7 cm

Therefore, a scale model of Neptune would have to be drawn with a radius of approximately 9.7 cm.

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Answer:

1 ⅚ miles.

Step-by-step explanation:

Makayla wants to walk 6 miles. Since she has walked 4 1/6 miles (2 5/6 miles + 1 1/3 miles), you subtract this from 6 and you will get your answer.

The number of cookies in the jar initially was 42

To find out how many cookies were in the jar initially, we can use algebra to represent the problem. Let x be the number of cookies in the jar initially. After Latoya took half of the cookies, Mark took 1/3 of the remaining cookies, Kandi took 1/4 of the remaining cookies, and Shannon took 1 cookie, there are 2 cookies left in the jar.

We can use this information to set up the equation:

x/2 - (x/2)/3 - (x/2)/4 - 1 - 2 = 0.

By solving this equation, we get x = 42. This means there were 42 cookies in the jar initially. To find out how many cookies were there before Latoya came, we just add the 2/3 of a cookie that was left over to the 2 whole cookies we know of.

So, 42+2/3 = 42.67 which means 42 cookies were there before Latoya came.

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The sequence given is known as the Collatz sequence or the Hailstone sequence.

According to the given sequence,

if a value is even, divide it by 2 and if it is odd, multiply it by 3 and add 1.

This process of operation must continue until the number 1 is reached.

Suppose the first number in the sequence is x, and then we can define the sequence as a 0 = x;an+1 = an / 2,

if an is even; an+1 = 3 X an + 1, if an is odd.

The sequence will continue in this manner until we reach the value of ak = 1.

The value of k is unknown, and it is believed to be an unsolvable problem, and it is known as the Collatz conjecture. There have been numerous efforts to solve this problem, but it has yet to be solved by mathematicians.

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Answer: S and T.

Step-by-step explanation:

I watched a video on how to do this just to answer, so it might not be right LOL. But since the angles are the same if you draw them from each other they both show the angles are equal which means the lines are parallel.

Answer:

Hence, x=28.

Step-by-step explanation:

we simplify it to \(F = \bar{x} \cdot z \cdot \bar{y} \cdot w\). This involves breaking down the negations and using the rules of De Morgan's theorems to express the original expression in a simpler form.

By applying De Morgan's theorems to the expression \(F=\overline{(x+\bar{z}) \bar{y} w}\), we can simplify it using the following rules:

1. De Morgan's First Theorem: \(\overline{A+B} = \bar{A} \cdot \bar{B}\)

2. De Morgan's Second Theorem: \(\overline{A \cdot B} = \bar{A} + \bar{B}\)

Let's apply these theorems to simplify the expression step by step:

1. Applying De Morgan's First Theorem: \(\overline{x+\bar{z}} = \bar{x} \cdot z\)

2. Simplifying \(\bar{y} w\) as it does not involve any negations.

After applying these simplifications, we get the simplified expression:

\[F = \bar{x} \cdot z \cdot \bar{y} \cdot w\]

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Answer:

f(x)=x−4x2−3x−28 f ( x ) = x - 4 x 2 - 3 x - 2 8 .

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given function:

Find f(x) when x = -2

Answer:

The answer is -4 as the correct slope for Find the slope:

(-1, 5), (2, -7)

Step-by-step explanation:

The solution to the system of equations is x = -3 and y = 2. The y-value of the solution is 2

To find the y-value of the solution to the system of equations, we can solve the system using any suitable method such as substitution or elimination.

Given system of equations:

3x + 5y = 1

7x + 4y = -13

Let's use the method of elimination to solve the system:

Multiply equation 1 by 4 and equation 2 by 5 to make the coefficients of y in both equations equal:

4(3x + 5y) = 4(1) --> 12x + 20y = 4

5(7x + 4y) = 5(-13) --> 35x + 20y = -65

Now, subtract equation 1 from equation 2 to eliminate the y term:

(35x + 20y) - (12x + 20y) = -65 - 4

35x - 12x = -69

23x = -69

x = -69/23

x = -3

Substitute the value of x into equation 1 to find y:

3(-3) + 5y = 1

-9 + 5y = 1

5y = 1 + 9

5y = 10

y = 10/5

y = 2

Therefore, the solution to the system of equations is x = -3 and y = 2. The y-value of the solution is 2.

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If g ◦ f = IX and f ◦ g = IY, then f and g are both one-to-one and onto, and g = f⁻¹.

A function is composed when two functions, f and g, are used to create a new function, h, such that h(x) = g(f(x)). The function of g is being applied to the function of x, in this case. Therefore, a function is essentially applied to the output of another function.

The statement is true. Let's prove it.

To prove that f is one-to-one, suppose we have two elements a, b ∈ X such that f(a) = f(b). We need to show that a = b.

Using the composition property, we have (g ◦ f)(a) = (g ◦ f)(b). Since g ◦ f = IX, we can simplify this to IX(a) = IX(b), which gives g(f(a)) = g(f(b)).

Since g ◦ f = IX, we can apply the property of the identity function to get f(a) = f(b). Since f is one-to-one, this implies that a = b. Therefore, f is one-to-one.

To prove that f is onto, let y be an arbitrary element in Y. We need to show that there exists an element x in X such that f(x) = y.

Since g ◦ f = IX, for any y ∈ Y, we have (g ◦ f)(y) = IX(y). Simplifying, we get g(f(y)) = y.

This shows that for any y ∈ Y, there exists an x = f(y) in X such that f(x) = y. Therefore, f is onto.

Now, to prove that g = f⁻¹, we need to show that for every x ∈ X, g(x) = f⁻¹(x).

Using the composition property, we have (f ◦ g)(x) = (f ◦ g)(x) = IY(x) = x.

Since f ◦ g = IY, this implies that f(g(x)) = x.

Therefore, for every x ∈ X, we have f(g(x)) = x, which means that g(x) = f⁻¹(x). Hence, g = f⁻¹.

In conclusion, if g ◦ f = IX and f ◦ g = IY, then f and g are both one-to-one and onto, and g = f⁻¹.

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Answer:

Option C

Quantitative, ordinal, discrete

Step-by-step explanation:

The data set will be quantitative because to measure and analyze it, we will have to count the soft drinks of the various sizes.

Once data is counted to determine the quantity that falls into a particular category, the analysis is quantitative.

The data set will also be ordinal, because we are classifying t using a scale of small medium and large. Once scales can be assigned to a data set to quantify it, it becomes ordinal.

The data set is also discrete because only distinct whole numbers can be used to enumerate the cans. The data is not continuous. this means that you can either count one can or two cans; never half a can of the soft drink

Answer:

\( \frac{9 \sqrt{3} }{3 \sqrt{5} } \\ = \frac{3 \sqrt{3} }{ \sqrt{5} } \)

Hope it helps!

Answer:

3.82 thats how much it would be

Step-by-step explanation:

The height of the basketball hoop is 13.32'.

What is law of similarity?

The Law of Similarity in mathematics states that if two geometric figures have the same shape but different sizes, then they are considered similar. This means that the corresponding angles of the two figures are congruent, and the corresponding sides are proportional in length.

Formally, if we have two geometric figures A and B, and if every angle of figure A is congruent to the corresponding angle of figure B, and if the ratio of the length of any pair of corresponding sides of A and B is constant, then we can say that A and B are similar figures.

Here we can see two triangle and base of two triangle is given.

Here base of small triangle is 12' and the base of big triangle is (12'+25') = 37'.

It is also given that height of small triangle is 4'3.84".

Now we want to find the height of the basketball hoop which is equal to height of big triangle.

Let the height of the basketball hoop be x.

So, by law of similarity ratios,

12'/37' = 4'3.84"/x

Now, 4'3.84" = 4.32'

So, 12'/37' = 4.32'/x

Therefore, x = 13.32'

Therefore, the height of the basketball hoop is 13.32'.

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The exterior angle theorem states that the sum of two opposite interior  angles is equal to the measure of the exterior angle.

The distance SL= 5.77 miles between the boat and the lighthouse after travelling 2.1 miles

According to the conditions given in the problem the exterior angle is 70 degrees and one of the opposite interior angle is 35 degrees.

m∠ L + m∠R= 70°

m∠ L +  35° = 70°

m∠ L = 70°-35°

m∠ L = 35°

If one interior angle is 35 degrees the other must also be 35 degrees to make a total of 70 degrees.

The sum of all angles of the triangle is always equal to 180 degrees.

So the third angle of the triangle will be

180°= 35°+35°+m ∠S

m∠S= 110°

From the triangle

Angle theta= m∠S= 110°

Fy= SL= height

Fx= RS = base

F= RL= hypotenuse

The line SL has to be found out.

Let the Fx= 2.1 miles

Then

Fx= Fcos ∅

But Cos   ∅ =  Cos 110°= -0.342

2.1=  F (-0.342)

F= - 6.140 = hypotenuse

Now the vertical component

Fy= Fsine theta

Fy= - 6.140 sine 110°

Fy= - 6.14×0.94

Fy= -5.77 miles

The negative sign indicates that it is in the opposite direction.

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Answer:

It took 32 days into the puppy was 16 ounces

Step-by-step explanation:

i hope this was helpful

Answer:

32 days to gain 16 ounce

Step-by-step explanation:

I. If y = \(\frac{1}{2}x\)

when y is total weight, x is day

Perform 16 = 1/2x

16 * 2 = x

x = 32

Answer:

Point C i think is: (33/8, 0)

Step-by-step explanation:

I hope this helps -w-

Answer:

x: 98 y: 112

Step-by-step explanation:

Supplementary angles add up to 180 so:

x + 82 = 180

x = 98

And:

y + 68 = 180

y = 112

Answer:

supplementary, 98°, 112°

Step-by-step explanation:

Opposite angles of a quadrilateral inscribed in a circle are supplementary, i.e., they add up to 180°.

∴ x° + 82° = 180°

  x = 180° - 82°

       x = 98°

y° + 68° = 180°

y = 180° - 68°

    y = 112°

Answer:

B.

Step-by-step explanation:

{-3, -2, 0, 3}   - the set of y-values.

The hippocampal volumes in the alcoholic adolescents are significantly less than the normal volume at the alpha = 0.01 level of significance.

The appropriate test to conduct is a one-tailed t-test since the researchers are interested in whether the hippocampal volumes in alcoholic adolescents are less than the normal volume of 9.02 cm3.

Null hypothesis: H0: μ ≥ 9.02 (the hippocampal volumes in the alcoholic adolescents are greater than or equal to the normal volume)

Alternative hypothesis: Ha: μ < 9.02 (the hippocampal volumes in the alcoholic adolescents are less than the normal volume)

The level of significance, α = 0.01, and the degrees of freedom for the t-test are df = n - 1 = 16.

Using a t-table or a t-distribution calculator, the critical t-value for a one-tailed test with α = 0.01 and df = 16 is -2.602.

The test statistic is calculated as:

t = (x - μ) / (s / √(n)) = (8.16 - 9.02) / (0.7 / √(17)) = -2.79

Since the test statistic (-2.79) is less than the critical t-value (-2.602), we reject the null hypothesis and conclude that there is evidence to support the alternative hypothesis.

Therefore, the hippocampal volumes in the alcoholic adolescents are significantly less than the normal volume at the alpha = 0.01 level of significance.

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Answer:

complete thought

Step-by-step explanation:

its complete thought because when he ran out of the room he tripped and fell

The quadratic equation are equations that have an axis of symmetry

passing through the vertex.

Reasons:

2. The x-intercepts are given by the point at which the y-value of the equation are zero.

Therefore;

The quadratic equation are;

(x + 3)·(x - 1) = 0

x² + 2·x - 3 = 0

The equation can also be written in the form;

(-x - 3)·(x - 1) = 0

-x² - 2·x + 3 = 0

The quadratic equations are;

3. The points through which the quadratic equation passes are;

(-4, 2) and (1, 2)

The value at the vertex = Maximum value

Taking the vertex as the point midway between the two given points, we have;

\(\displaystyle Coordinates \ of \ the \ vertex = \left( \frac{-4 + 2}{2} , \, k \right) = \left(-1, \, k)\)

The coordinates of the vertex, (h, k) = (-1, y)

The vertex form of a quadratic equation is presented as follows;

(y - k) = a·(x - h)²

y = a·(x - h)² + k

Which gives;

y = a·(x - (-1))² + k = a·(x + 1)² + k

y = a·(x + 1)² + k

At the point (-4, 2), we have;

2 = a·((-4) + 1)² + k = 9·a + k

2 = 9·a + k

Taking the value of k as 11, we have;

(h, k) = (-1, 11)

2 = 9·a + 11

\(\displaystyle a = \frac{2 - 11}{9} = -1\)

Which gives;

y = -1·(x + 1)² + 11 = -x² - 2·x + 10

y = -x² - 2·x + 10

When x = -4, we have;

y = -(-4)² - 2·(-4) + 10 = 2

When x = 2, we have;

y = -(2)² - 2·(2) + 10 = 2

4. The points through which the graph passes are; (-4, 2) and (1, 2)

The x-coordinate of the minimum vertex is given by the equation;

\(\displaystyle Coordinates \ of \ the \ vertex, \ (h, \, k) = \left( \frac{-4 + 1}{2} , \, k\right) = \left(-1.5, \, k)\)

(h, k) = (-1.5, y)

The vertex form of the equation of a quadratic equation is presented as follows;

y = a·(x - h)² + k

Which gives;

y = a·(x - (-1.5))² + k

y = a·(x + 1.5)² + k

\(\displaystyle a = \mathbf{\frac{y - k}{\left(x + 1.5\right)^2}}\)

At the point (1, 2), we have;

\(\displaystyle a = \frac{2 - k}{\left(1 + 1.5\right)^2} = \frac{2 - k}{6.25}\)

When k = -4.25, we have;

\(\displaystyle a = \frac{2 - k}{\left(1 + 1.5\right)^2} = \frac{2 - \left(-4.25 \right)}{6.25} = 1\)

The equation is therefore;

y = 1·(x + 1.5)² - 4.25 = x² + 3·x - 2

y = x² + 3·x - 2

At the point where x = -4, we have;

y = (-4)² + 3·(-4) - 2 = 2

At the point where x = 1, we have;

y = (1)² + 3·(1) - 2 = 2

Therefore;

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Answer:

Graph A:  y = (1/2)x - 2

Step-by-step explanation:

2x−4y=8 in slope-intercept form is -4y = -2x + 8, or y = 1/2x - 2

The slope of this line is 1/4 and the y-intercept is -2.  This is represented by Graph A.

\({\huge{\underline{\overline{\rm{\purple{Answer}}}}}}\)

______________________________________

\({\longrightarrow}\)The linear equation y = 6 is already in slope-intercept form, where the slope is 0 and the y-intercept is 6.

______________________________________

The equation ax + by + c = 0 is in standard form, where a, b, and c are coefficients. To compare these two equations, we need to put y = 6 into standard form.

______________________________________

y = 6 can be rewritten as 0x + 1y = 6, so a = 0, b = 1, and c = 6.

The standard form of the equation is 0x + 1y - 6 = 0.

So, the two equations are:

y = 6 (slope-intercept form)

0x + 1y - 6 = 0 (standard form)

______________________________________

The values of a, b, and c for the second equation are a = 0, b = 1, and c = -6.

Let the number be represented by "n"

Answer:

The integers are 96, 97, 98, and 99

Step-by-step explanation:

first integer = x

second integer = x+1

third integer = x+2

fourth integer = x+3

(that what consecutive means, like 4, 5, 6, 7 are just adding 1 more each time

The sum (add them all up) is (=) 390 so

x+(x+1)+(x+2)+(x+3) = 390

4x+6=390

4x+6-6=390-6

4x=384

4x/4=384/4

x=96

x+1=97

x+2=98

x+3=99

The integers are 96, 97, 98, and 99