Grade 7 Envision math volume 1

Answer:

Function: y = 2/x

Graph:

The graph of y = 2/x is a hyperbola whose asymptotes are the x-axis and y-axis.

y when x = 20:

y = 2/20 = 0.1

Answer:

To write the unit form for 1/3, you can simply write "1/3" or use the fraction symbol, which looks like a horizontal line with the numerator above the denominator. For example, you can write the unit form for 1/3 as follows:

1/3

Alternatively, you can use the fraction symbol, like this:

1/3

In both cases, the numerator (the number on top of the fraction) is 1 and the denominator (the number on the bottom of the fraction) is 3. This indicates that the value of the fraction is one-third.

Answer:

y = -8(x - 2)² + 4

Answer:

25/w

Step-by-step explanation:

Answer:

miles = 48(2/15)

miles = 96/15

miles = 6.4 miles

Step-by-step explanation: your welcome

Answer:

At the same rate, how many miles would he run in 48 minutes. --- miles/time = miles/time miles/48 min = 4 mi/30 min ---- miles = 48 ...

Step-by-step explanation:

The value of angle P = 119°

The value of angle Q = 61°

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the value of angle P be = P

Let the value of angle Q = Q

Now , the equation will be

Measure of angle P is three less than twice the measure of angle Q

Substituting the values in the equation , we get

P = 2Q - 3   be equation (1)

And , angle P and angle Q are supplementary

So ,

P + Q = 180°   be equation (2)

Substituting the value of P from equation (2) in equation (1) , we get

2Q - 3 + Q = 180

On simplifying the equation , we get

3Q - 3 = 180

Adding 3 on both sides of the equation , we get

3Q = 183

Divide by 3 on both sides of the equation , we get

Q = 61°

Therefore , the value of Q is 61°

Substitute the value of Q in equation (2) , we get

P + Q = 180°

Subtracting Q on both sides of the equation , we get

P = 180° - 61°

P = 119°

The measure of angle P = 119°

Hence , The value of angle P = 119°

The value of angle Q = 61°

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Answer:

(4 + 1)² = 25

This is because when you raise a number to a power, such as a square or a cube, you are multiplying the number by itself. In this case, 4 + 1 is 5, so 5² is 25.

Answer:

It's not a function

Step-by-step explanation:

Answer:

[tex]\huge\boxed{\sf No}[/tex]

Step-by-step explanation:

{(6,-1), (-4, 2), (5, 2), (4, 6), (6,5)}

For a relation to be a function, the domain (x-values) should NOT repeat values.

Here,

Domain = {6, -4, 5, 4, 6}

The number 6 in domain is repeated. Hence, this relation is not a function.

[tex]\rule[225]{225}{2}[/tex]

Answer:

Step-by-step explanation:

If cakes of 4 small and 4 large tiers serve 288 guests, and 3 small and 5 large tiers serve 316 guests, you want to know the number of guests served by a tier of each size.

Let 's' and 'l' represent the numbers of guests served by small and large cake tiers, respectively. The first cake serves ...

  4s +4l = 288

And the second cake serves ...

  3s +5l = 316

Subtracting 3/4 of the first equation from the second gives ...

  (3x +5l) -3/4(4s +4l) = (316) -3/4(288)

  2l = 100

  l = 50

  4s +4(50) = 288 . . . substitute for l in the first equation

  4s = 88 . . . . . . . . . . subtract 200

  s = 22 . . . . . . . divide by 4

A small tier will serve 22 guests; a large tier will serve 50 guests.

Answer: Not sure, Sorry

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Answer and step-by-step explanation:

If Bradley bought nine pounds of apples for $8.37, then the price per pound for the apples is $8.37/9 = $0.93.

If Kristen went to the same orchard on the same day and bought four pounds of apples, then she paid $0.93/pound * 4 pounds = $3.72 for the apples.

The third side of the triangle will be lies between 10 and 44

The rule that we will use to answer this is:

The sum of lengths of two sides of a triangle must be more than the length of the third side.

So, we have side lengths 27 and 17. 27 + 17 = 44 and thus the third side must be less than 44.

Now to consider how small it can be. If we represent the third side as X, we can get 17 + X > 44 which gives us X > 27

Therefore the third side is between, but not including, 10 and 44 units long.

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Yes , situation illustrate the apportionment issues.

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The population of the town in 1982 is 29995.2.

A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.

Given, the population in 2020 is 49992.

40 percentage of population

= 40 % of 49992

= 40 x 49992/100

= 19996.8

Now the population in 1982

= population in 2020 - 40% of population in 1982

= 49992 - 19996.8

= 29995.2

Therefore the population in 1982 is 29995.2.

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Answer:

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

It is assumed you need to find the factors or roots of the quadratic trinomial.

Factorize it as follows:

The roots are:

The value of (n o p) (Δ) is X.

A function is a relationship between inputs where each input is related to exactly one output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

(n o p) (Δ):

= n ( p(Δ) )

From the function map we have,

p(x) = (Δ, Y)

This means,

For x = Δ we get p(Δ) = Y.

So,
= n ( Y )

From the function map we have,

n(x) = (Y, X)

This means,

For x = Y we get n(Y) = X

So,

= X

Thus,

Using the function map,

(n o p) (Δ) is X.

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Answer:

a rotation 90 degrees clockwise of the orgin

Step-by-step explanation:

Answer:

8865= 6000 * 1.05[tex]x^{ttt}[/tex]

Step-by-step explanation:

if it is compound interest you multiply initial saving by 1.05 as this is and increase by 5% to the power of the number of years he has saved for.

8865= 6000 * 1.05[tex]x^{ttt}[/tex]

1.4775=1.05[tex]x^{ttt}[/tex]

to find ttt:

[tex]log _{1.05}[/tex][tex]1.4775= 8.0006=8[/tex]

thus ttt= 8 years

Answer:

Step-by-step explanation:

Given several transformed functions, you want to identify the parameters of the transformation: a, h, k.

We assume your transformation of the function g(x) has the pattern ...

  y = a·g(x -h) +k

You are trying to match the given functions with this pattern.

Here, 'a' is the multiplier of the absolute value function. In these examples, it is 1 or -1.

The parameter 'h' is the value subtracted from x inside the absolute value bars. (This is the amount of translation of the graph to the right.)

The parameter 'k' is the value added to the (scaled) absolute value, the constant on the right outside the absolute value bars. (This is the amount of translation of the graph upward.

__

Additional comment

We have used g(x) as the function name, instead of the more usual f(x). This is because Brainly squawks any expression where f(x) is multiplied by 'a'.

Once you have identified the parent function, the pattern matching process can begin. The value of 'a' multiplies the function. The value of 'k' is added to the function. The value 'h' is subtracted from x where x is inserted into the parent function.

If the parent function is y = (3x²+2), then h=1 would give y = (3(x-1)²+2). The value of 'a' would multiply this expression, and the value of 'k' would be added to this expression.

Answer:60

Step-by-step explanation:

The perimeter of octagon A is 40 inches.

Perimeter is the sum of all the sides of a figure.

Since, both of them are octagons, we will simply use unitary method to calculate the perimeter of octagon A.

2.5 ---> 4

x -----> 64

cross multiplying gives,

4x = (64)(2.5)

x = 40 inches

Hence the perimeter of octagon A is 40 inches.

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The factor of the expression 9t – 3u will be 3 and 3t – u.

It is a method for dividing a polynomial into pieces that will be multiplied together. At this moment, the polynomial's value will be zero.

One of the many branches of mathematics is algebra. Algebra, which is a common thread throughout practically all of mathematics, is broadly defined as the study of numbers and symbols and the procedures for using these symbols in formulae.

The expression is given below.

⇒ 9t – 3u

Simplify the expression, then we have

⇒ 3·3t – 3u

⇒ 3(3t – u)

The factor of the expression 9t – 3u will be 3 and 3t – u.

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Assuming that the football field is a perfect rectangle, we will see that its area is 5,500 square yards.

We assume that the football field has a rectangular shape. Remember that for a rectangle of length L and width W the area is given by the formula below.

A = L*W

In this case, we know that the dimensions of the football field are:

L = 100 yards

W = 55 yards.

Then we just need to replace these values in the area formula that is written above, we will get:

A=  (100 yd)*(55 yd)

A = 5,500 yd²

The area of that football field is 5,500 yd², so the correct option is the second one.

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Answer:

[tex]D) y=-\frac{1}{2} x-4[/tex]

Step-by-step explanation:

Perpendicular means the slope of the other line is the negative reciprocal.

Slope in y = 2x - 5 is 2.

Negative reciprocal of 2 is - 1/2 or - 0.5

y = - 0.5x + b

Substitute.

- 5 = - 0.5(2) + b

- 5 = - 1 + b

b = - 4

y = - 0.5x - 4

This is False in light of the stated statement. due to the employment of a regression line to calculate the mean of y for x that are outside the x-range of the data.

Y = mX + b, where X is the predictive (independent) factor, m is really the approx slope, and b is the expected intercept, is the methodology for simple linear regression.

Regress, from whence the word "regression" is derived, means "to go back" in Latin (to something). Regression is the method that enables "going back" from muddled, challenging data to a clearer and more significant model in this manner.

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The coordinates of A'B'C'D' are A'(2, 1), B'(3, 1), C'(3, -1) and

D'(2, -1).

What is translation of points?

By describing how far a point is moved left, right, and up or down, translations are defined.

If we know which way and how far the figure should be moved, we can draw the translation in the coordinate plane. Use P'(x + a, y + b) to translate the point P(x, y) to the right and up, respectively, by a and b units.

For the given graph, the coordinates of ABCD are,

A(-2, 3)

B(-1, 3)

C(-1, 1)

D(-2, 1)

The translation is, (x, y) → (x + 4), y - 2)

So, the coordinates of A'B'C'D' are,

A(-2, 3) → A'(2, 1)

B(-1, 3) → B'(3, 1)

C(-1, 1) → C'(3, -1)

D(-2, 1) → D'(2, -1)

The graph of translation is attached below.

Hence, the coordinates of A'B'C'D' are A'(2, 1), B'(3, 1), C'(3, -1) and

D'(2, -1).

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Answer:

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It has three different  zeros of multiplicity 1.

Correct choice is C.