The table represents the number of medals won by each member of the Academic Bowl Team. What is the ratio of the number of medals won by Josephine to the total number of medals won by the team?
A) 1/13
B) 1/4
C) 1/3
D) 2/5

Answer:

A parabola is a curve with a focus and a directrix. The focus is any point is at an equal distance while the directrix is a fixed line. The vertex of the parabola is (2,1), the two points to the right are (3,4) & (4,13) while the two points to the left are (1,4) & (0,13).

Given that:

y = 3(x - 2)² +1

A parabola is represented as:

y = a (x − h)² + k

Where:

Vertex = (h, k)

So, by comparison; the vertex of the function is:

Vertex = (2, 1)

To plot two points to the right, we select x values greater than 2.

Let: x = 3

So, we have:

y = 3(x - 2)² + 1

y = 3(3 − 2)² + 1

y = 4

Let x = 4

y = 3(x - 2)² + 1

2:37

4G 15%

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Mathematics

5 points

Let x = 4

y = 3(x - 2)² +1

y = 3(4-2)² + 1

y = 13

To plot two points to the left, we select x values less than 2.

Let: x = 1

So, we have:

y = 3(x - 2)² +1

y = 3(1 − 2)² + 1

y = 4

Let x = 0

= 3(x - 2)² + 1 y =

y = 3(02)² +1

= 13

In conclusion:

• The vertex of the parabola is (2,1)

• The two points on the right are (3,4) and (4,13)

• The two points on the left are (1,4) and (0,13)

Answer:

30

Step-by-step explanation:

Substitute for x and y

2 x 3 x 5 = 6 x 5 = 30

I hope this helped and please mark mark me as brainliest!

Hey!

Answer:

R5.60=15 apricots

R10.08=15÷5.60×10.08

=27 apricots {ans}

Answer:

$17.00

Step-by-step explanation:

The profit=67-50

=$17

[tex]1. \: \: 10 {x}^{2} y - 5 {x}^{2} y = 5 {x}^{2} y \\ 2. \: \: - 3 x - (5x) - ( - 2x) \\ \: \: - 3x - 5x + 2x = \\ \: \: - 8x + 2x = - 6x[/tex]

Hope this helps :)

Answer:

(a)

(b)

add similar elements together; simplify.

Answer d=t*v

Step-by-step explanation: the distance is the time spent times 60 miles per hour.

Answer:

Second Option

Step-by-step explanation:

The argument of the log must be greater than zero so

[tex]5 - x > 0[/tex]

[tex] -x > - 5[/tex]

[tex]x < 5[/tex]

So our domain is All Reals less than 5.

The range of log function is all reals so the answer is -oo, oo).

So the second option is the answer.

Answer/Step-by-step explanation:

40% = .40 (As a decimal)

$100 x .40= $40 {Mark-Up}
$40 is the Mark-up.

If Needed:

$100 + $40 = $140 [Final Price of the gymnastics mat]

[RevyBreeze]

Answer:

40/100

Step-by-step explanation:

it may be this or another answer which is 140 to 1400 to 140.000 but 40/100 sould be your answer.

Step-by-step explanation:

Let's find 120% of 124. 120% of 124 represents the restaurant bill, and the 20% tip included.

Fractions will be used for explanation.

120 can be put over 100, simplified to 1.2/1. 124 can be put over 1.

Multiply (Numerators):

[tex] \frac{124}{1} \times \frac{1.2}{1} = \frac{148.80}{1} [/tex]

$148.80 includes the restaurant bill, and the 20% tip.

Option A. $148.80 is correct.

Answer:

the original temp was -15 hope this helped;-)

Step-by-step explanation:

1. Observe Problem

It can be flipped on the x axis and y axis

so, Flipped on the x axis, it becomes:

So, flipped on the y axis, it becomes:

Which is the same thing

Answer:

PQR = 40

QNP = 60

Step-by-step explanation:

PQR = 180 - (60 + 80)

QNP = 180 - (40 + 80)

The statements that describe the given inequality are as follows:

The inequality is given by:

[tex]10x + 75 \geq 350[/tex]

It means that the sum of a fixed amount of 75 plus a variable amount of 10 has to be of at least 350.

Hence, the 2nd and the 3rd options are correct.

More can be learned about inequalities at https://brainly.com/question/25235995

Geometry and Similarity both

Answer:

x = 50°

Step-by-step explanation:

          A triangle has total interior of 180 degree .

x + 84° + 46° = 180°

x = 180° -46° -84°

x = 50°

In the given triangle, the value of x is determined to be 50°. In other words, The value of x in the triangle is 50°.

To find the value of x in a triangle with angles measuring 84°, 46°, and x°, follow these steps:

Step 1: Recall that the sum of the angles in a triangle is always 180 degrees.

Therefore, the sum of the three angles in the given triangle is:

[tex]84 + 46 + x = 180[/tex]

Step 2: Combine like terms and isolate x.

Start by subtracting 84 and 46 from both sides of the equation:

[tex]84 + 46 + x - 84 - 46 = 180 - 84 - 46[/tex]

[tex]x = 50^{\circ}[/tex]

Step 3: The value of x is 50. This means that the third angle in the triangle measures 50°.

By applying the fact that the sum of angles in a triangle is 180°, set up an equation and solve for x.

Learn more about triangles here:

https://brainly.com/question/8476788

#SPJ6

A is the center of the dilation because it is being delarged(is that even a word) by a factor of 2 downwards, and the only place possible to be the center of this "delargation" is A

Answer:

Part 1:

-5, a multiplicity of 2

-1, a multiplicity of 1

4, a multiplicity of 3

7, a multiplicity of 1

Part 2: [tex]f(x)=(x+5)^2(x+1)(x-4)^3(x-7)[/tex]

Step-by-step explanation:

This question has to be done visually, and can is a little tricky, because depending on the way the graph intercepts the x-axis, there is going to be a different number of roots.

The roots are represented by the intersection of the function with the x-axis.

To start, take a look at the point [tex](-5,0)\\[/tex], which intercepts the x-axis like a parabola(quadratic function). This means that -5 is a "double root" of the function, or it represents two roots of the function.

Now look at the point [tex](-1,0)\\[/tex], which intercepts the x-axis in a linear way, meaning that -1 is simply a "single-root" of the function, or it only represents one root.

So for the next root, look at [tex](4,0)[/tex], which intercepts the x-axis like a cubic function. This means that 4 is is a "triple-root" of the function, and represents 3 roots of the function.

And finally, we have one final interception at [tex](7,0)\\[/tex], and the interception is in a linear form, meaning 7 is simply a "single-root" to the function, or it only represents one root.

So we can conclude that the following are roots with their respective multiplicities

-5, a multiplicity of 2

-1, a multiplicity of 1

4, a multiplicity of 3

7, a multiplicity of 1

And totally, 2+1+3+1 gives us 7, which supports our answer because we know this is a seventh-degree polynomial.(1)

Now for Part 2

We simply take each root, and subtract it from x in our function, then apply our multiplicity as the exponent

So the function would be: [tex]f(x)=(x+5)^2(x+1)(x-4)^3(x-7)[/tex](2)

Hope this helps.

well, there are 12 months in a year, so, for a year and 1 month that'll be 13 months, or namely 13/12 ths of a year.

[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\pounds768\\ r=rate\to 100\%\to \frac{100}{100}\dotfill &1.00\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{quarterly, thus four} \end{array}\dotfill &4\\ t=years\dotfill &\frac{13}{12} \end{cases}[/tex]

[tex]A=768\left(1+\frac{1.00}{4}\right)^{4\cdot \frac{13}{12}}\implies A=768(1.25)^{\frac{13}{3}}\implies A\approx \stackrel{\pounds}{2019.78} \\\\\\ \stackrel{~\hfill \textit{interest yielded}}{2019.78~~ - ~~768~~ \approx ~~ \stackrel{\pounds}{1251.78}}[/tex]

Answer:

the answer is 908. You need to compare the sides.

16 in x 20 in= 320 in

42in x 14 in = 588

all together it's 908

Answer:

I think the answer is 1108

Step-by-step explanation:

Area1 = 26in × 20in =520^2

Area2 = 42in × 14in =588in^2

total area = 1108in^2

Answer:

C

Step-by-step explanation:

7^-8 x 7^-4 = 7^(-8-4) = 7^(-12) = (1/7)^12 = 1/7^12

Answer

5/5 x 8 =

Step-by-step explanation:

a fraction with the same number as the denomenator and numerator is the same no matter what it is multiplied by

Answer:

MN and 170°

Step-by-step explanation:

to get around the red arc you would go alphabetically to the points M, N. since u already have 170° and a circles full rotation is 360° that means 360-170=190 and so the blue arc of the circle would either have to be 190° or 170°, and since the angle of the blue arc is farther than the red arc, that would mean the blue arc is 190°.

Answer:

15% per second

Step-by-step explanation:

If you subtract 9 from 17 you get 16 subtract one from that and you get 15.

Answer:

0.61

Step-by-step explanation:

(5/10)^2+(3/5)^2

(25/100)+(9/25)

25/100 + 9*4/25*4

25/100 + 36/100

61/100

0.61

Answer:

Step-by-step explanation:

What does $1$2 mean?

[tex]-\frac{1}{4}+\frac{3}{4}a=-\left(-\frac{7}{4}a-1 \right)[/tex]

Multiplying both sides by 4,

[tex]-1+3a=-(-7a-4)\\\\-1+3a=7a+4\\\\-1=4a+4\\\\-5=4a\\ \\ a=\boxed{-1.25}[/tex]

your suppose to do Base x height then you have to divide it by 2 so you'll have your answer