the high temperature on friday was 8 degrees above zero

f(3) = -5*3^2 - 3 + 20 = -5*9 - 3 + 20 = -45 - 3 + 20 = -28;

Answer: - 28

Step-by-step explanation:

f(x) = -5x^2 - x + 20

To find f(3), we simply put x = 3 and then simplify

f(3) = - 5(3)^2 - 3 + 20

= -5(9) - 3 + 20

= -45 - 3 + 20

= -48 +20

= -28

f(3) = -28

Answer:

k=-11

Step-by-step explanation:

Correct for plato

Answer:

22

Step-by-step explanation:

The value of expression is 22.

Step-by-step explanation:

Given the statement “two less than six times the difference of a number and five” when n = 9. we have to find the value of expression formed by the above statement.

Difference of a number n and 5 gives (n-5)

Now, we have to write two less than 6 times the difference, we get the expression  6(n-5)-2

Here, the number n is 9

∴Value of expression is 6(9-5)-2=6(4)-2=24-2=22

Hence, the value of expression is 22.

Answer:

C option is correct

Step-by-step explanation:

Given: payment borrowed (P)= $5,500

            rate (r)=11.5 or 0.115

           Time(t)= 5 years

           Compound monthly(k)=12

To find : Monthly payment (M)

Formula used :  [tex]M= P/(\frac{1-(1+\frac{r}{k})^{-kn}}{\frac{r}{k}})[/tex]

 Solution :     [tex]M= 5500/(\frac{1-(1+\frac{0.115}{12})^{-60}}{\frac{0.115}{12}})[/tex]

                by solving we get, M =$120.95

therefore, option C is correct

The algebraic expression 5x + 3y² + 4 has variables x and y, the constants 5, 3, and 4, the coefficients are 5 and 3 and the exponents are 1 and 2.

An algebraic equation consists of terms separated by the operation of addition and subtraction.

We know in an algebraic expression a₀xⁿ + a₁xⁿ⁻¹ + a₂xⁿ⁻² +...+aⁿ,

x's are variables a's are constants and n's are exponents.

∴ In the algebraic expression 5x + 3y² + 4,

Constants are the numerical values which are 5, 3, and 4.

The variables are x and y and the exponents are the powers of the variables 2 for y and 1 for x and the coefficients are 5 and 3.

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Answer:

For k12- the answer is Quadrilateral RSTU is not a rectangle because it has no right angles.

Step-by-step explanation:

Solution: A quadrilateral RSTU whose vertices are  R(−4, 1) , S(4, −1) , T(3, −6) , and U(−5, −4).

RS = [tex]\sqrt{(4+4)^{2}+(-1-1)^{2}} =\sqrt{64+4}= \sqrt{68}[/tex]

ST= [tex]\sqrt{(4-3)^{2}+(-1+6)^{2}}= \sqrt{1+25} =\sqrt{26}[/tex]

TU=[tex]\sqrt{(3+5)^{2}+(-6+4)^{2}}= \sqrt{64+4}= \sqrt{68}[/tex]

UR =[tex]\sqrt{(-5+4)^{2}+(-4-1)^{2}}= \sqrt{1+25} =\sqrt{26}[/tex]

→RS=TU, and ST=UR⇒ Opposite sides are equal.

Slope of RS = [tex]\frac{-1-1}{4+4} = \frac{-2}{8}=  \frac{-1}{4}[/tex]

Slope of TS= [tex]\frac{-6+1}{3-4} =\frac{-5}{-1}=5[/tex]

Slope of RS × Slope of TS = -1/4 × 5 = -5/4 ≠ -1, So lines are not perpendicular.

∴ quadrilateral RSTU  is not a rectangle.

Answer:

The answer is 7 units

Step-by-step explanation:

I don't know but I got it right

I think you dont need to calculate anything they gave us the answer when they said PZ=7

Answer:

It should be C aka 270°

Step-by-step explanation:

Answer:

3 option is correct.

Step-by-step explanation:

Given Triangle RST has vertices R(2, 0), S(4, 0), and T(–3, –1). The image of triangle RST after a rotation has vertices  R'(0, –2), S'(0, –4), and T'(–3, –1).

We have to tell the rule describes the transformation.

A rotation is transformation that turns a figure about a fixed point. An object and its rotation are the same shape, but the figures may turned or rotate in different directions.

Here, the coordinates shift after rotation according to the rule

(2,0) → (0,-2) i.e (x, y) → (y, -x)

As, Rotation of 270º on coordinate axes.

(x, y) → (y, -x)

which match to the given rule.

hence, 3 option is correct.

Answer:

Step-by-step explanation:

We assume the box is open-top.

If the width of the box is represented by w, then its length is 2w. The area of the base is then w·2w = 2w².

The combined area of the sides is the product of the perimeter of the base, 2(w+2w) = 6w and the height, 0.5, so is 3w.

Since the base area is 1.08 m² less than the lateral area, we have

... 2w² = 3w -1.08

... 2w² -3w +1.08 = 0 . . . . rearrange to standard form

... w² -1.5w +0.54 = 0 . . . make the leading coefficient 1 (divide by 2)

... (w -0.9)(w -0.6) = 0 . . . factor

The width of the box may be either 0.6 meters or 0.9 meters.

The volume is the product of width, length, and height

V = w·2w·0.5 = w²

V = 0.36 m³ . . . or . . . 0.81 m³. . . . . . (there are two possible answers)

Answer:

Sample Response: The student divided the number of wins by the number of losses, instead of dividing the number of wins by the total number of games. The student should have divided 20 by 30.

Answer:

Step-by-step explanation:

The area of the triangle inside the rectangle is calculated by using the formula for the area of a triangle, 1/2 * base* height. Given the base is the length of the rectangle and the height is the breadth of the rectangle, we substitute these measurements into the formula to determine the area. Area of triangle LMN is 15.6 square cm.

To determine the area of the triangle inside the rectangle, we first need to understand the relationship between these two shapes. Given the base of the triangle, LN, is the same as the length of the rectangle, 6.5 cm, and the triangle is between the parallel lines of the rectangle, we can infer that the height of the triangle is the same as the breadth of the rectangle, which is 4.8 cm.

Now, the area of a triangle is given by the formula 1/2 * base * height.

Substituting the given measurements into this formula, we get

= 1/2 * 6.5 cm (base) * 4.8 cm (height)

= 0.5 * 6.5 cm (base) * 4.8 cm (height)

= 15.6 square cm

This will give us the area of the triangle LMN.

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The complete question is given below:

Triangle LMN is positioned inside rectangle LKPN as shown in the diagram. Which is the area of △LMN?

The length of rectangle and triangle are same, 6.5 cm. The breadth of rectangle is 4.8 cm. The triangle lies between the parallel lines of rectangle with base LN.

Final answer:

To find the values of x and y, set up an equation by equating the two angles and solve for x and y using the given measures.

Explanation:

To find the values of x and y, we need to equate the two angles and solve for x and y.

According to the given information, the measure of one angle is 2x, while the measure of the other angle is 2y - 10.

Since the two angles are equal, we can set up the equation: 2x = 2y - 10.

Now, we can solve for x and y.

2x = 2y - 10
x = y - 5

So, the value of x is y - 5.

The values for x and y are found by solving the system of equations that arise from setting up the condition that two angles forming a linear pair add up to 180 degrees and are equal. The solution is x = 45 and y = 50.

The student's question involves finding the values of x and y when two lines intersect to form a linear pair with equal measures. Since the angles form a linear pair, they add up to 180 degrees. Therefore, we must set up an equation 2x + (2y - 10) = 180 to find the values of x and y. Because the question tells us the angles are equal, we also know that 2x = 2y - 10. Solving this system of equations will provide the values for x and y.

To solve for x, we can use the second equation directly, 2x = 2y - 10. Since the angles are equal, we substitute the first angle's measure for the second, meaning x = y - 5. Then, we can substitute x into the first equation: 2(y - 5) + 2y - 10 = 180, simplifying it to 2y - 10 + 2y - 10 = 180, which further simplifies to 4y - 20 = 180. Finally, adding 20 to both sides and then dividing by 4 gives us y = 50. With the value of y, we can then find x: x = y - 5, so x = 50 - 5, meaning x = 45.

remember Pythagorean theorem

if we have a right triangle with legs a and b and hytponuse c then

[tex]a^2+b^2=c^2[/tex]

we are given a right triangle with legs x and y and hypotohuse 10

so therfor

[tex]x^2+y^2=10^2[/tex]

[tex]x^2+y^2=100

solve for x

minus y² from both sides

[tex]x^2=100-y^2[/tex]

sqare root both sides

[tex]x=\sqrt{100-y^2}[/tex]

the answer is the 4th option

An equation represents the value of x is x=√100-y².Therefore, option D is the correct answer.

The Pythagoras theorem which is also referred to as the Pythagorean theorem explains the relationship between the three sides of a right-angled triangle. According to the Pythagoras theorem, the square of the hypotenuse is equal to the sum of the squares of the other two sides of a triangle.

From the given triangle ABC, AB=x units, BC=y units and AC=10 units

By using Pythagoras's theorem, we get

10²=x²+y²

x²=100-y²

x=√100-y²

Therefore, option D is the correct answer.

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Answer:- The set must have a constant additive rate of change.

Explanation:-

Let X be a data set contains an independent and dependent variable.

The standard linear function is given by

[tex]y=mx+c[/tex]  , where x is a independent variable and y is a dependent variable and m,c are the constants.

for m =1, y=x+c

for m=2, y=2x+c=x+x+c

for m=3, y=3x+c=x+x+x+c

1.Thus ,the set must have a constant additive rate of change.

2.The set must not have a constant multiplicative rate of change as the function will become exponential function given by [tex]y=Ab^X[/tex] which is not linear .

3.The values in the set can be positive or negative as the domain for linear function is the set of real numbers.

4.The values in the set must be increasing it is not necessary.

The maximum revenue for the computer company is achieved at the price of $11 per box which is calculated based on the decrease in quantity sold with every $1 increase in price.

To find the price per box that will provide the maximum revenue for the computer company, we need to analyze how changes in price affect the number of boxes sold and the revenue generated. The company sells 130 boxes of printer paper each week at $9 per box. For each $1 increase in price, it will sell 10 fewer boxes.

Let's define the revenue function as R(p) where p is the price per box. The initial revenue is 130 boxes × $9. For each $1 increase, the revenue function becomes (130 - 10(p - 9)) × p. We need to find the value of p that maximizes this revenue function.

Let's calculate:

We can see that the revenue is maximum at $11 per box. So, the price per box that will provide the maximum revenue for the computer company is $11.