Given the fallowing function find (-3),f(1)

Answer:

5/14

Step-by-step explanation:

You multiply the recripricoal in division problems:

5/2  ÷ 7/1 =

5/2 × 1/7 =

5/14

Answer:

5 / 14

Step-by-step explanation:

will make it simple... the technique is to flip the either 5/2 or 7/1

then multiply.

5/2 x 1/7 = 5 / 14

Answer:

A and C

Step-by-step explanation:

if u plug 3 in A and C you'll get a true eqn.

The volume of the suitcase is 35/8 cubic feet or approximately 4.375 cubic feet.

A rectangular prism is a three-dimensional solid object that has six faces, where each face is a rectangle. It is also called a rectangular parallelepiped. A rectangular prism is a type of prism because it has a constant cross section along its length.

A rectangular prism's volume V is determined by:

V = l × w × h

where l denotes the prism's length, w its width, and h its height. Here are the facts:

l = 2 3 ft

w = 1 1/2 ft

h = 1 1/4 ft

When we enter these values into the formula, we obtain:

V = (2 3 ft) × (1 1/2 ft) × (1 1/4 ft)

= (7/3 ft) × (3/2 ft) × (5/4 ft)

= 35/8 ft³

Therefore, the volume of the suitcase is 35/8 cubic feet or approximately 4.375 cubic feet.

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Yes, a quadratic equation can have no x-intercept at all. Generally, this happens when the equation is of the \(a^{2}\) + bx + c = 0, where a, b and c are all equal to zero.

The equation that has a graph that is a parabola with a vertex at (2, 0) is: y = - \((x - 2)^2\)

The equation that shows the quadratic formula used correctly to solve 7x2 + 9x for x is: x = [- 9 +/- \(\sqrt{(81 - 28)}\)] / 14

The equation that has the solutions x = -3 is: \(x^2 - 6x + 9 = 0\).

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Answer:

The triangles are similar.

Explanation:

Similar triangles have 3 pairs of congruent angles. In this diagram, we can see that the triangles WXP and WYZ share angle W, which is congruent to itself; therefore, they have at least 1 pair of congruent angles. We are given that angle X is congruent to angle Y, so that is a second pair of congruent angles. Finally, we know that angle P is congruent to angle Z because if two pairs of corresponding angles are congruent, then the third pair must also be congruent because the measures of the interior angles of both triangles have to add to 180°.

In a random sample of 125 people, 42 of them owned two vehicles. The sample proportion of people who own two vehicles is 0.336

The percentage of people in a sample that exhibit a particular attribute or trait is expressed by the sample proportion (p).

Divide the total number of individuals (or things) in the sample by the number of individuals (or items) who share the characteristic of interest to obtain the sample proportion.

p = x/n, where x stands for the sample's success rate and n for sample size, gives the sample proportion p.

According to the question,

Sample size = 125

Number of people owned two vehicles = 42

Sample Proportion (p) = x/n

=> p = 42 / 125

=> p = 0.336

Therefore , The sample proportion of people who own two vehicles is 0.336

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Based on the sample response given, the statements included in the explanation on the horizontal line test are:

The horizontal line test is used to not only find out if a graph has an inverse function, but also if that inverse is also a function itself.

To pass the horizontal line test, the function has to be one-to-one which means that a horizontal line can intersect the graphed function at one point in all places. If this happens, then there is an inverse and the inverse itself is a function.

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The binomial expansion is solved and the error in Dakota's statement is the incorrect substitution of 36g^2h^2 for the correct expression

Given data ,

Dakota made a mistake because the third term of the expansion of (2g + 3h) should have been 36g2h2. The binomial theorem asserts that the expansion of (2g + 3h) is as follows:

( x + y )ⁿ = ⁿCₐ ( x )ⁿ⁻ᵃ ( y )ᵃ

Here, x = 2g and y = 3h. Since term numbers begin at 0, since we are seeking for the third term, r = 2.

So , on simplifying the equation , we get

= nC2 * (2g)⁽ⁿ⁻²⁾ * (3h)²

= (n! / (2! * (n - 2)!)) * (2g)⁽ⁿ⁻²⁾ * (3h)²

= ((n * (n - 1)) / 2) * (2g)⁽ⁿ⁻²⁾ * (3h)²

Hence , the correct expression for the third term of the expansion of (2g + 3h) is ((n * (n - 1)) / 2) * (2g)^(n - 2) * (3h)², where n is the exponent in the binomial expansion.

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Answer: B) 2000

Step-by-step explanation:

Sale Price: The cost following a discount applied to the initial cost.

Cost Price: The cost price is what we pay to purchase a good.

Discount Price : A price that is lower than the usual price.

Cost price equals selling price plus revenue ( when selling price and profit is given ) Cost is equal to Selling price plus Loss ( when selling price and loss is given ).

So, The sale price is Rs 1600 after discount.

Discount =20%

Selling price of the skates = Rs 1600

Discount price = 100/80 × 1600= Rs 2000

Discount price = Rs 2000

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Answer:

(examples) n = 2

n = 3

n = 4

Step-by-step explanation:

to demonstrate, all you do is select a number to represent 'n' and plug it in.

so for example, n = 2:

2(2) + 3(2) = 5(2)

4 + 6 = 10, which is true.

Answer:

180-108=72.

72/3=24.

24x2=48

The expressions are simplified to;

1. 72n² + 63n

2. 18t - 18t²

3. -18b² - 18b

4. -56r - 21r²

5. -6m + 9m²

Algebraic expressions are simply described as expressions that are known to consist of coefficients of variables, variables, constants, terms, and factors.

These algebraic expressions are also made up of mathematical or arithmetic operations.

These operations are;

From the information given, we have;

1. -9n (-8n -7)

expand the bracket

72n² + 63n

2. -2t(-9 + 9t)

expand the bracket

18t - 18t²

3. -3b(6b + 6)

expand the bracket

-18b² - 18b

4. -7r(8 + 3r)

expand the bracket

-56r - 21r²

5. 3m(-2 + 3m)

expand the bracket

-6m + 9m²

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Answer: It is C

Step-by-step explanation:

The slop for Kitten A is 1/4 or 4

Kitten B has a slop of 2/6 or 3 so the answer is,

Answer:

he spent 2hours 50minutes snowboarding

the time he spent skiing and snowboarding minus the time he skied

5hours minus 2hours 10minutes

Answer:

A

Step-by-step explanation:

-9 must be a bigger number then x and it is a greater then not a greater or equal to sign menaing the circle will be empty and the blue part or x will be to the left of -9

Answer:

A

Step-by-step explanation:

Answer:

A and E

Step-by-step explanation:

edge 2021

Answer:

Option A and E are the correct answers.

The results of operations between vectors are, respectively:

Case A: u + w = <- 3, - 1>

Case B: - 6 · v = <6, 6>

Case C: 3 · v - 6 · w = <- 21, - 15>

Case D: 4 · w + 3 · v - 5 · u = <39, 4>

Case E: |w - v| = √(4² + 3²) = 5

In this problem we must determine the operations between vectors, this can be done by following definitions:

Vector addition

v + u = (x, y) + (x', y') = (x + x', y + y')

Scalar multiplication

α · v = α · (x, y) = (α · x, α · y)

Norm of a vector

|u| = √(x² + y²)

Now we proceed to determine the result of each operation:

Case A:

u + w = <- 6, - 3> + <3, 2>

u + w = <- 3, - 1>

Case B:

- 6 · v = - 6 · <- 1, - 1>

- 6 · v = <6, 6>

Case C:

3 · v - 6 · w = 3 · <- 1, - 1> - 6 · <3, 2>

3 · v - 6 · w = <- 3, - 3> + <- 18, - 12>

3 · v - 6 · w = <- 21, - 15>

Case D:

4 · w + 3 · v - 5 · u = 4 · <3, - 2> + 3 · <- 1, - 1> - 5 · <- 6, - 3>

4 · w + 3 · v - 5 · u = <12, - 8> + <- 3, - 3> + <30, 15>

4 · w + 3 · v - 5 · u = <39, 4>

Case E:

|w - v| = |<3, 2> - <- 1, - 1>|

|w - v| = |<4, 3>|

|w - v| = √(4² + 3²) = 5

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Answer:

$400

Step-by-step explanation:

Saturday: $1600, 4 times the amount of Friday

Friday: 1/4 the amount of Saturday

Friday: 1/4 * $1600 = $400

You need to multiply by 5 instead of 6 because each pair of opposite faces on a cuboid has the same area, so by considering one face from each pair, you ensure that you don't count any face twice.

When calculating the total surface area of a cuboid, you need to understand the concept of face pairs.

A cuboid has six faces, but each face has a pair that is identical in size and shape.

Let's break down the reasoning behind multiplying by 5 instead of 6 in the given scenario.

To find the surface area of a cuboid, you can add up the areas of all its faces.

However, each pair of opposite faces has the same area, so you avoid double-counting by only considering one face from each pair. In this case, you have five pairs of faces:

(1) top and bottom, (2) front and back, (3) left and right, (4) left and back, and (5) right and front.

By multiplying the average area of a pair of faces by 5, you account for all the distinct face pairs.

Essentially, you are considering one face from each pair and then summing their areas.

Since all the pairs have the same area, multiplying the average area by 5 gives you the total surface area.

When dividing 150 by 4 (to find the average area of a pair of faces), you are essentially finding the area of a single face.

Then, by multiplying this average area by 5, you ensure that you account for all five pairs of faces, providing the total surface area of the cuboid.

Thus, multiplying by 5 is necessary to correctly calculate the total surface area of the cuboid by accounting for the face pairs while avoiding double-counting.

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Answer: 16, -1

Step-by-step explanation:

since the x is +10 more than d and the y is -7 less than d, you just add another +10 and -7 to get your next point

Thus, the answer is a+ba=1

Answer:

0

Step-by-step explanation:

xyz(-6-11+17)

xyz(0)

The time it took Aniya to do cartwheels, which can travel at 0.5 mph for a total distance of 0.1 miles, is 12 minutes.

The distance, time, and average speed formulas are based on distance equals to time multiplied by the average speed.

Conversely, the total time taken to cover a certain distance is equal to distance divided by the average speed.

Total distance traveled doing cartwheels = 0.1 miles

Average speed = 0.5 mph

Time = Distance/Average speed

= 0.1/0.5

= 0.2 hours

1 hour = 60 minutes

= 12 minutes (0.2 x 60)

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Answer:

The phenotypic ratios are the ratios of visible characteristics. The genotypic ratios are the ratios of gene combinations in the offspring, and these are not always distinguishable in the phenotypes.

Genotype is the genetic make-up of an organism that describes the nature of each trait. (the letters we often write for a certain trait)

Genotype is the genetic make-up of an organism that describes the nature of each trait. (the letters we often write for a certain trait)

Phenotype is the morphology of a living organism .(the trait you usually observe while looking/tracking the organism)

For an Example:

In the flower of a pea plant there are a pink color(RR) or (Rr) and a white color(rr).

When crossing two hybrid ( with two different letters) pink colors,

P  :     Rr        ×      Rr  

G :      R    r        R    r    

F1 :  RR   Rr    Rr    rr

The phenotype ratio will be  (3 pink : 1 white)

The genotype ratio will be  [1 (RR) : 2 (Rr) : 1 (rr)]..

Hence Genotype is the genetic make-up of an organism that describes the nature of each trait. (the letters we often write for a certain trait)

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A graph of triangle ABC is shown below.

A graph of triangle A'B'C, the image of ΔABC after a translation right 1, down 3 is shown below.

A graph of triangle A"B"C", the image of ΔABC after a dilation of 2 is shown below.

ΔA"B"C" does not represent a rigid motion because the pre-image and the image are not congruent.

By translating the pre-image triangle ABC vertically down 3 units and horizontally right 1 unit, the coordinates of the image of triangle A'B'C'D' include the following:

(x, y)                               →                  (x + 1, y - 3)

Coordinate A = (2, 3)   →    Coordinate A' = (2 + 1, 3 - 3) = (3, 0)

Coordinate B = (4, 0)   →    Coordinate B' = (4 + 1, 0 - 3) = (5, -3)

Coordinate C = (5, 4)   →     Coordinate C' = (5 + 1, 4 - 3) = (6, 1)

By applying a dilation with a scale factor of 2 centered at the origin, we have:

Coordinate A = (2, 3)   →    Coordinate A" = (4, 6)

Coordinate B = (4, 0)   →    Coordinate B" = (8, 0)

Coordinate C = (5, 4)   →     Coordinate C" = (10, 8)

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Answer:

Step-by-step explanation:

50% = 1/2

so

186 : 2 =

93 Km

Answer:

A. 56 cubes

B. 1/27 cm³

C. 8/9 cm³

Step-by-step explanation:

Answer:

X=-4

Step-by-step explanation:

No y value so just count ur x value

a. The x-coordinate of the vertex (2) represents the time it takes for the ball to reach its maximum height, and the y-coordinate (182) represents the maximum height itself.

b. The tennis ball is initially at a height of 126 feet above the ground.

a. The x-coordinate of the vertex is 2. To find the y-coordinate, we substitute this value back into the equation:

h(2) = -14(2)² + 56(2) + 126

h(2) = -14(4) + 112 + 126

h(2) = -56 + 112 + 126

h(2) = 182

Therefore, the vertex of the equation is (2, 182). In this context, the vertex represents the highest point reached by the tennis ball during its trajectory. The x-coordinate of the vertex (2) represents the time it takes for the ball to reach its maximum height, and the y-coordinate (182) represents the maximum height itself.

b. In order to find the y-intercept, we set t equal to zero and evaluate h(t):

h(0) = -14(0)² + 56(0) + 126

h(0) = 126

The y-intercept is 126. In this context, the y-intercept represents the initial height of the ball when it is thrown. Therefore, the tennis ball is initially at a height of 126 feet above the ground.

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