89.87 is 215% of what number

To find the quadratic equation from 3 points, use the method of substitution and solve the system of equations. Substituting the given points into the general quadratic equation will result in a system of equations that can be solved for the quadratic equation.

To find the quadratic equation from 3 points, we can use the method of substitution. Let's say the three points are (x1, y1), (x2, y2), and (x3, y3). We can substitute these points into the general quadratic equation, y = ax^2 + bx + c, to get three equations. Solving this system of equations will give us the values of a, b, and c, and thus the quadratic equation.

For example, let's say the three points are (1, 3), (2, 6), and (3, 11). Substituting these points into the general quadratic equation, we get the following equations:

3 = a(1^2) + b(1) + c

6 = a(2^2) + b(2) + c

11 = a(3^2) + b(3) + c

Solving this system of equations will give us the values of a, b, and c, and thus the quadratic equation.

The required 7/8 is equal to 14/16, or we can write 7/8 = 14/16.

Simplification involves applying rules of arithmetic and algebra to remove unnecessary terms, factors, or operations from an expression. The goal is to obtain an expression that is easier to work with, manipulate, or solve.

Here,
To compare 7/8 and 14/16, we can first convert both fractions to a common denominator. The least common multiple of 8 and 16 is 16, so we can convert 7/8 to 14/16 by multiplying both the numerator and denominator of 7/8 by 2,

7/8 = (7 × 2) / (8 × 2) = 14/16

Now we can see that both fractions have the same denominator, so we can compare their numerators directly:

7/8 = 14/16

Therefore, 7/8 is equal to 14/16, or we can write 7/8 = 14/16.

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1. This problem lacks given values, where are the numbers? Just fill-in the numbers I will variables in this case.

Let us say that:

x = number of cups of flour

y = number of cups of white sugar

z = number of cups of brown sugar

(a) Just divide x by 6 to get cups of flour per serving

x / 6

(b) Simply add y and z and divide the sum by 6

(y + z)/6

(c) From (a) we know that there are x / 6 flours per serving, so simply multiply that by 9 then subtract the original x to know how much more you need:

[(x / 6) * 9] – x

2.

(a) We know that we deposit $5 per day, so after 5 days we got:

total deposit = ($5 / day) * 5 days = $25

(b) The total deposit is 25 dollars, so removing $2 a day we need:

25 / 2 = 12.5 days

3.

(a) d is distance, R is rate, T is time

32.12 = 8.8 T

(b) It is rightful to write distance d as a positive number since the scuba diver was ascending towards the surface. If this is to be plotted on a Cartesian plane, we are moving towards the positive y axis

(c) solving for T:

32.12 = 8.8 T

T = 32.12 / 8.8

T = 3.65 minutes

Answer: 22,397.23

Step-by-step explanation:

confirmed

Answer:

(x +12)^2 - 6

Step-by-step explanation:

d/dx x^2 + 24x + 138 = 2x + 24

when 2x + 24 = 0, the gradient = 0

x = -12

f(-12) = -6

therefore we have (x +12)^2 - 6.

Answer:

The correct answer should be figure 1 which is also attached in the solution.

Step-by-step explanation:

Reflection of any object is the mirror image of the object about any line or plane. Reflection always shows a congruent figure but inverted.

In first figure, triangle EFG makes a mirror image as triangle FGL. Here, EG is equal to GL, EF is equal to FL and angle E is congruent to angle L.

So, the figure obtained is congruent and inverted. Thus, triangles can be mapped to each other in single reflection in this image.

Figure 2 shows two congruent triangles but the reflection is not a mirror image as it should be inverted.

Figure 3 shows two congruent triangles but here they are aligned in a similar manner and not inverted. So, it is incorrect.

Figure 4 has inverted and congruent triangles but the axis about which the image is taken doesn't match with them. While reflection, they will not overlap each other and hence, it is incorrect.

Therefore, the correct answer should be figure 1 which is also attached in the solution.

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just as the problem states, multiply the cost (18.10) by 0.15

18.10 * 0.15 = 2.72

 the tip was $2.72

Answer:

First, look at the side lengths a, b, and c, where c is the longest. Then take the sum of a squared and b squared and compare it to c squared. If they are equal, the triangle is a right triangle. If c squared is less than a squared plus b squared, the triangle is acute. If c squared is greater than a squared plus b squared, the triangle is obtuse.

Answer:

D)14 units

Step-by-step explanation:

Just counts how many numbers you get from point A to B. Its pretty simple.

Answer:

The answer is D. 14 units

from -2 add 2 so you can get to 0 which gives you the 12 left add twelve on top of the two you already added and you get 14 units.

Step-by-step explanation:

Answer:- (a/2, b) is coordinates should he assign to the third vertex of the isosceles triangle.

Explanation:-

As the given triangle is isosceles then the median of the triangle divides it into two equal triangles such that the base of the new triangles becomes half of the original triangle[tex]=\frac{1}{2}a[/tex]      

 [where a is the base of the original isosceles triangle]

Since the median of the given triangle join the third vertex and the mid point of the base thus the x coordinate of the points remains same[tex]=\frac{1}{2}a[/tex] and from the graph it is clear that y coordinate of third point is b .

Thus the coordinates for the third vertex must be [tex](\frac{a}{2},b)[/tex].

Answer: 56

Step-by-step explanation:

Given: An astronomer wishes to measure on a photograph the distance between the image of a certain star and three other star images nearby.

The total number of images nearby = 8

The number of images chosen by astronomer = 3

Then, the number of choices  of the three stars without being in order is given by :-

[tex]^8C_3=\frac{8!}{3!(8-3)!}=\frac{8\times7\times6\times5!}{3!5!}=56[/tex]

Hence, he has 56 choices .

Answer:

omit numbers on the horizontal scale

The calculation for the monthly rent involves firstly finding the annual rent by multiplying the cost per square foot per year with the total square footage, and then dividing this annual cost by 12 to get the monthly cost. The correct answer is c) $6,133.

To calculate the monthly rent, we first need to find out the annual rent and then divide it by 12 months. The annual rent can be found by multiplying the cost per square foot per year with the total number of square feet. So if the cost is $23/square foot per year and you are leasing 3,200 square feet, the calculation becomes: $23 * 3,200 = $73,600 for the annual rent. To calculate the monthly rent, we divide the annual rent by 12: $73,600 / 12 = $6,133.33. Therefore the monthly rent is closest to option c) $6,133.

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ivied 1.45 by 33%

33% = 0.33

1.45 / 0.33 = 4.3939 ( 39 repeats)

We know that the domain is actually the number of rolls that she gets because it is the input variable in the equation  f (r) = 40 r + 26. The number of rolls that she can get can never be a negative number nor a zero nor a decimal number. However she can only get up to 10 rolls. Therefore the answer is:

all integers from 1 to 10, inclusive

Answer:

all integers from 1 to 10 inclusive

Step-by-step explanation:

took the test and got it correct

Answer:

C: (2, -30)

Step-by-step explanation:

Since we know that the two functions are equal, f (x) = g (x), therefore when we equate the two equations the result should be similar to 3x = x – 4:

A. f(x) = 3x, g(x) = x – 4

Equating the two functions:

3x = x – 4             (correct)

So we now got our answer (A)