Katherine is landscaping her home with juniper trees and pansies. She wants to arrange 15 pansies around each of 8 trees. Each tree costs $20.75 and a six-pack of pansies costs $2.50. Explain how to write an expression to find Katherine’s final cost

Answer:

Step-by-step explanation:

This is a quadratic function.  

This function has one solution since its discriminant is zero.

Answer:

one real solution

Step-by-step explanation:

Discriminant

[tex]b^2-4ac\quad\textsf{when}\:ax^2+bx+c=0[/tex]

[tex]\textsf{when }\:b^2-4ac > 0 \implies \textsf{two real solutions}[/tex]

[tex]\textsf{when }\:b^2-4ac=0 \implies \textsf{one real solution}[/tex]

[tex]\textsf{when }\:b^2-4ac < 0 \implies \textsf{no real solutions}[/tex]

Given function:

[tex]y=x^2+10x+25[/tex]

Therefore:

Substitute the given values into the discriminant:

[tex]\implies 10^2-4(1)(25)=0[/tex]

As the discriminant equals zero, there is one real solution.

Answer:

B . it was right when I picked it

The evaluation is (2sin2∅-cos2∅)sec2∅.

Trigonometric functions are functions used to relate the sides of a triangle with its angles.

Analysis:

2tan2∅ -(1- tan2∅)

2tan2∅ - 1 + tan2∅

3tan2∅ - 1

3([tex]\frac{sin2\alpha }{cos2\alpha }[/tex]) - 1

(3sin2∅/cos2∅) - 1

(3sin2∅ - cos2∅)/cos2∅

but 1/cos2∅ = sec2∅

(3sin2∅ - cos2∅)/sec2∅

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a parabola with symmetry or mirror image across the x-axis, will be a horizontal parabola, namely one that opens either to the right or left.

a horizontal parabola will be a parabola whose independent variable is the "y", so it'll be an x(y) type of equation.

[tex]~~~~~~\textit{horizontal parabola vertex form} \\\\ x=a(y- k)^2+ h\qquad \begin{cases} \stackrel{vertex}{(h,k)}\\\\ \stackrel{"a"~is~negative}{op ens~\supset}\qquad \stackrel{"a"~is~positive}{op ens~\subset} \end{cases} \\\\[-0.35em] ~\dotfill\\\\ \begin{cases} h=0\\ k=0 \end{cases}\implies x=a(y-0)^2+0\qquad \textit{we also know that} \begin{cases} x=5\\ y=6 \end{cases} \\\\\\ 5=a(6-0)^2 +0\implies 5=36a\implies \cfrac{5}{36}=a~\hfill \boxed{x=\cfrac{5}{36}y^2}[/tex]

Answer:

108 cm^2

Step-by-step explanation:

Trapezoid area = (a+b)/2 * h

= (6+12)/2 * 6 = 54 cm^2

Triangle area = b*h/2 = 12* (15-6) / 2 = 54 cm^2

Total area is 54+54 = 108 cm^2

Answer:

7/ Ans;

[tex] \frac{x + 2}{ x + 4} \div \frac{ {x }^{2} - 2x - 8}{ {x}^{2} + 2x - 8} \\ \\ \\ \frac{x + 2}{x + 4} \times \frac{ {x}^{2} + 2x - 8 }{ {x}^{2} - 2x - 8} \\ \\ \\ \frac{x + 2}{x + 4} \times \frac{(x - 2)(x + 4)}{(x - 4)(x + 2)} \\ \\ \\ =1 \times \frac{x - 2}{x - 4} \\ \\ \\ = \frac{x - 2}{x - 4} [/tex]

___o__o__

9/Ans;

[tex] \frac{ {x}^{2} - 9}{ {x}^{2} - 6x + 9} \div \frac{x + 4}{x - 3} \\ \\ \frac{ {x}^{2} - 9 }{ {x}^{2} - 6x + 9} \times \frac{x - 3}{x + 4} \\ \\ \\ \frac{(x + 3)(x - 3)}{(x - 3)(x - 3)} \times \frac{x - 3}{x + 4} \\ \\ \\ = \frac{(x + 3)}{1} \times \frac{1}{(x + 4)} \\ \\ \\ = \frac{x + 3}{x + 4} [/tex]

__o__o__

In the two questions, we first replace the division with multiplication with flipping the fraction after the division sign, secondly we analyze any equation that needs analysis to simplify it, thirdly, to simplify the fraction by deleting the numerator and the similar denominator .

The sum of the prime integers in the list is 10158.

The numbers that are divisible by 1 or itself is called a Prime Number.

The sum of two prime numbers is not a prime number

The given prime numbers are

197 , 497, 1111 ,2111 , 2643 , 3599

=197+ 497+1111+2111+2643+3599

= 10158

The sum of the prime integers in the list is 10158.

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Answer:

-22

Step-by-step explanation:

each mark decreases by three, two marks down from 16 would be 16+3+3; which equals 22, and it has to be negative

hope this helped!

Answer:

and also mark me the brainliest for the answer

Step-by-step explanation:

Answer:

left side:

Range: For all Y inside of Real, y>= -2

Increasing: (-2, inf) For all x inside of Real

Decreasing:(inf, -2)  For all x inside of Real

Right side:

Range: For all Y inside of Real, y<= 1

Increasing: (-1, inf) For all x inside of Real

Decreasing:(inf, 1)  For all x inside of Real

Answer:

Step-by-step explanation:

x + x + 36 = 180

2x + 36 = 180

2x = 144

x = 72

Answer: [tex]\frac{ML}{MK}[/tex]

Step-by-step explanation:

Corresponding sides of similar triangles are proportional, so since OP corresponds to ML and NP corresponds to MK (since they are opposite the corresponding congruent angles), the answer is ML/MK.

The length of the similar tube will be 5041 cm.

The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the circle in a two-dimensional plane is called the area of the circle.

Given that:-

The radius of the first tube will be calculated as:-

1200 = 2πr ( 13 )

r = 12 / 2π x 113

r = 14.7 cm

Now the length of the second tube will be:-

500 = 2π x 14.7 x L

L = 500 / 2π x 14.7

L = 5.41 cm.

Therefore the length of a similar tube will be 5041 cm.

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P(ages 15-19|learning piano) = P(playing piano|ages 25-29) so option (B) must be correct.

A frequency table is a list of objects with the frequency of each item shown in the table.

The quantity of times that an event or value occurs is its frequency.

In other words, a frequency table is a table in which we have some data and their frequency.

Given the problem has been attached below,

It is clear that

Number of playing piano in the age of 25 - 29 = Number of playing piano in the age of 15 - 19

Hence it should be the correct answer.

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Answer: (6,7)

Step-by-step explanation:

Answer:

(7,6)

Step-by-step explanation:

look above as your axis x it's 7, and then down is axis y is 6.

The set of side lengths that could be the sides of a right triangle must follow the Pythagoras theorem

The rule of the side lengths of a right triangle is:

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

Where c is the length of the longest side, and a and b represent the lengths of the triangle

This in other words mean that:

All right triangles obey the Pythagoras theorem

Note that I gave a general explanation because the question is incomplete

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The area of the lawn is 2.5 times greater than the area of the garden.

Heron's formula for finding the area of a triangle in terms of the lengths of its sides.

In symbols, if a, b, and c are the lengths of the sides: Area = √s(s - a)(s - b)(s - c) where s is half the perimeter, or (a + b + c)/2.

Given vertices W(-100,-70), X(-100,0),Y(0,0), and Z(-60,-70) of a backyard,

We have to find distances WX, XY, YZ, ZW and XZ:

1. WX= √(-100+100)²+(0+70)²

=√0+4900

=70

2. XY= √(0+100)²+(0-0)²

=100 units.

3. YZ= √(-60-0)²+(-70-0)²

=√3600+4900

= √8500= 10√85

4. ZW= √(-60+100)²+(-70+70)²

=√40²+0

=40 units

5. XZ= √(-60+100)²+(-70+0)²

=√40²+70²

=√6500=10√65

Then:

1. the area of WXZ

[tex]\sqrt{(70+40+10\sqrt{65}) /2 * ({70+40+10\sqrt{65}) /2 -70* {(70+40+10\sqrt{65}) /2 -40[/tex]*[tex]\sqrt{(70+40+10\sqrt{65}) /2 -10\sqrt{65}[/tex]

=1400 feet²

Area of XYZ= [tex]\sqrt{(100+10\sqrt{65}+10\sqrt{85}) /2 * (100+10\sqrt{65}+10\sqrt{85}) /2 -100* {(100+10\sqrt{85}+10\sqrt{65}) /2[/tex]-[tex]\sqrt{-10\sqrt{85}*(10+10\sqrt{85} +10\sqrt{65}) /2 -10\sqrt{65}[/tex]

=3500 feet²

Then, ar(WXZ)/ ar (XYZ)= 3500/1400=2.5 times.

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Answer:

25.12

Step-by-step explanation:

Since it says around the pizza, we can assume it means circumference.

So, the formula to find circumference is C=2πr.

We have a diameter which is 8. We know that radius is half of the diameter. So, half of 8 is 4.

Now that we have the radius we can plug in the numbers for the formula C=2πr.

C=2πr

C=2*3.14*4

C=25.12

your answer is 25.12 inches.

Answer:

Berries with any blush of red are not ripe, yet may ripen further once picked if kept at room temperature. That said though, you really want to ...

Answer: (0,6)

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

Hello there!

Accuracy refers to a measure of how close an answer (this can also be measurement) to actual or expected value. This is a clear definition which has also been postulated by International Standard of Units (ISO). And therefore the claim above is true.

I hope this helps you.

Have a nice studies.

Answer:

B. 50%

Step-by-step explanation:

Step by step by me I guess

The solution is , B) 50% of 42 is 300% of 7.

A percentage is a number or ratio that can be expressed as a fraction of 100. A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%", although the abbreviations "pct.", "pct" and sometimes "pc" are also used. A percentage is a dimensionless number; it has no unit of measurement.

here. we have,

given that,

300% of 7

we have to that is what percent of 42.

now, we know,,

300% of 7 = 300 * 7 /100

[300% is the same as 3. So to find 300% of 7 , 3 times 7 and get 21.]

i.e. 300% of 7 = 3* 7

                       = 21

Now we need to find _% times 42 = 21.

let, it = x

now,

Divide 21/42 to get 0.5.

This is the same thing as 50%.

so, we get,

50% of 42 = 21

i.e. 300% of 7 = 50% of 42

Hence, The solution is , B) 50% of 42 is 300% of 7.

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Using the giving information, the measure of ∠JPK is 94°

From the question, we are to determine the measure of ∠JPK

From one of the circle theorems,

Angle at the center is twice the angle at the circumference

That is,

∠JPK = 2 × ∠JLK

From the given information,

∠JLK = 47°

∴ ∠JPK = 2 × 47°

∠JPK = 94°

Hence, the measure of ∠JPK is 94°

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Answer:

(x+6)2 + (y-4)2 = 81

Step-by-step explanation:

The equation of the circle is in the for (x-a)2 + (y-b)2 = c2

A graph is a way to represent a lot of data in such a visual format that it is easy for the user to understand the complete information in one go. The correct statement is D.

A graph is a way to represent a lot of data in such a visual format that it is easy for the user to understand the complete information in one go. Usually, the line of the graph is a function that follows the graph.

If we draw the graph of the Cohen family, then the graph will look as shown below. Therefore, if we observe the graph of the Cohen family and the graph of the Mason family. Then we will observe that the wheat production of both farms will approach a stable amount as the years pass.

Hence, the correct statement is D.

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Step-by-step explanation:

h = ut - ½gt²

h = 100 (0.01) – 1/2 × 6.4 × (1/100)²

h = 1 – 1/2 × 6.4 × 0.0001

h = 1 – 0.00032

h = 0.99968 ≈ 0.9