A vertical parabola goes through (1,-2), (-3, 10), and (4, 31). Use matrices to

solve for D, E, and F, given the general form x² + y2 + Dc + Ey + F = 0 (since it

is a vertical parabola there is not a z term).

22.

2 +

Y +

0

Answer:

Step-by-step explanation:

y= - 5/3x-2

Answer:

B

Step-by-step explanation:

I used a calculator

In mathematics, the logarithm is the inverse function to exponentiation. That means the logarithm of a given number x is the exponent to which another fixed number, the base b, must be raised, to produce that number x.

Answer: Choice (3) which is the sequence –2, –7, –12, ...

Here we start with -2 and subtract off 5 each time we need a new term

-2-5 = -7

-7-5 = -12

and so on.

The notation f(n+1) = f(n) - 5 tells us "subtract 5 from the nth term, called f(n), to get the next term f(n+1)"

Answer:

Step-by-step explanation: not sure why there is two x values can you explain more

Answer:

A (0.5,4)

B (-3,0)

C (-1,1)

Step-by-step explanation:

Answer:

8 and 6

Step-by-step explanation:

8x6=48

2(8+6)=28

2(14)=28

Answer:

m= 3/5

Step-by-step explanation:

Answer: 35 minutes

Step-by-step explanation:

For us to solve the question, we have to calculate the amount of gallons of water that is drained every minute. This will be:

= (1320 - 1040) / (9 - 2)

= 280/7

= 40 gallons per minute

Since we are told that 1,320 gallons of water remain in the pool after 2 minutes. This means that the total water in the pool at the beginning was:

= 1320 gallons + (40 × 2)

= 1320 gallons + 80 gallons

= 1400 gallons

The time taken for the pool to be completely drained will be:

= Total water in pool / Gallons drained per minute

= 1400 / 40

= 35 minutes

Answer:

We conclude that the sequence is NEITHER geometrc nor arithmetic.

Step-by-step explanation:

Given the sequence

[tex]2,6,10,16,...[/tex]

As we know that

An arithmetic sequence has a constant difference d and is defined by:

[tex]a_n=a_1+\left(n-1\right)d[/tex]

Computing the differences between all adjacent terms:

[tex]6-2=4,\:\quad \:10-6=4,\:\quad \:16-10=6[/tex]

The difference is not constant

Hence, the sequence is NOT arithmetic.

NOW, let's check whether is a geometric sequence or not

A geometric sequece has a constant common ration r and is defined by:

[tex]a_n=a_0\cdot r^{n-1}[/tex]

Computing the common ratios between all adjacent terms:

[tex]\frac{6}{2}=3,\:\quad \frac{10}{6}=1.66666\dots ,\:\quad \frac{16}{10}=1.6[/tex]

The ratio is not constant

Hence, the sequence is NOT geometric.

Therefore, we conclude that the sequence is NEITHER geometrc nor arithmetic.

Answer:

(0,2) (1.5,3) B and F

Step-by-step explanation:

Your welcome loves

Answer:

B And F

Step-by-step explanation:

Answer:

A missing angle in a right angle.

Step-by-step explanation:

Given, the inverse of trigonometric functions sine, cosine and tangent.

To find:

The value that can be found using the inverse trigonometric functions.

Solution:

First of all, let us consider the right angled triangle attached in answer area.

Hypotenuse is AC, Base is BC and AB is the Altitude/Height of the right angled [tex]\triangle ABC[/tex].

Let us suppose all three sides are known and [tex]\angle C[/tex] is unknown.

Formula:

[tex]1.\ sin\theta = \dfrac{Perpendicular}{Hypotenuse}[/tex]

[tex]2.\ cos\theta = \dfrac{Base}{Hypotenuse}[/tex]

[tex]3.\ tan\theta = \dfrac{Perpendicular}{Base}[/tex]

Let us consider [tex]\angle C[/tex].

[tex]sin C = \dfrac{AB}{BC}[/tex]

If we taken inverse:

[tex]sin^{-1} sinC = sin^{-1} (\frac{AB}{BC})[/tex]

[tex]\Rightarrow \angle C = sin^1\frac{AB}{BC}[/tex]

Similar is the case for cosine and tangent.

Therefore, the missing angle of the right angled triangle can be calculated by the inverse of sine, cosine and tangent.

Step-by-step explanation:

2385 arent men (45%)

55% are men

how many total person:

2385/45: 53 people for each 1%

53x100:5300 total people

Answer:

the persson who aswered this got it right ( up there or down there )

Step-by-step explanation:

Answer:

AHHHHH U TELL ME AT THE WORST TIMES HOMIE IMMA TRY THO

Answer:

B.3/4

Step-by-step explanation:

First, subtract from both sides to get -37 and then add 7 to get -30. Lastly, divide both sides by -3 to get 10.

x=10

Answer:

[tex](x+5)+ \dfrac{2}{x+2}[/tex]

Step-by-step explanation:

Given

[tex]\dfrac{x^2+7x+12}{x+2}[/tex]

Required

Simplify and present your answer in

[tex]p(x)+\dfrac{k}{x+2}[/tex]

First, we need to expand and factorize the numerator:

[tex]\dfrac{x^2+7x+12}{x+2}[/tex]

Express 12 as 10 + 2

[tex]\dfrac{x^2+7x+10+2}{x+2}[/tex]

Split into two using brackets

[tex]\dfrac{(x^2+7x+10)+2}{x+2}[/tex]

Split to two fractions:

[tex]\dfrac{(x^2+7x+10)}{x+2}+\dfrac{2}{x+2}[/tex]

Factorize the numerator of the first fraction

[tex]\dfrac{(x^2+5x+2x+10)}{x+2}+\dfrac{2}{x+2}[/tex]

[tex]\dfrac{x(x+5)+2(x+5)}{x+2}+\dfrac{2}{x+2}[/tex]

[tex]\dfrac{(x+2)(x+5)}{x+2}+\dfrac{2}{x+2}[/tex]

The first fraction can be simplified to give:

[tex](x+5)+ \dfrac{2}{x+2}[/tex]

Hence, by comparison:

We have simplified the given expression to the required format of:

[tex]p(x)+\dfrac{k}{x+2}[/tex]

Which implies that:

[tex]p(x) = x + 5[/tex] and [tex]k = 2[/tex]

Answer:

Step-by-step explanation:

hope this helps

Answer:

$45

Step-by-step explanation:

315/7=45

Answer:

Each withdrawal was $45 dollars

Step-by-step explanation:

315 / 7 = 45

Answer:

d=25 or d=2

Step-by-step explanation:

hope that helps!

Answer:

d=2/5 or d=2

Step-by-step explanation:

Step 1: Subtract -6d^2 from both sides.

−d2−12d+4−−6d2=−6d2−−6d2

5d2−12d+4=0

Step 2: Factor left side of equation.

(5d−2)(d−2)=0

Step 3: Set factors equal to 0.

5d−2=0 or d−2=0

d= 2/5 or d=2

Step-by-step explanation:

I think 9.279..............

Answer:

[tex]y=-\frac{1}{4}x+4[/tex]

Step-by-step explanation:

So we pick one point from the graph

(0, 4)

[tex]y-y_{1}=m(x-x_{1} ) \\y-4=-\frac{1}{4}(x-0)[/tex]

Answer:

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

Step-by-step explanation:

Point slope form = y − y1 = m(x − x1)

Our point is 0,4.

So the point slope is

[tex]y-4= (slope)(x)[/tex]

The slope is -1/4.

so,

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

This is the answer.

Step-by-step explanation:

slope is -2 and y intercept is -1

Answer:

- 44

Step-by-step explanation:

The absolute value function always gives a positive result, that is

| - a | = | a | = a

Given

- 2 | 6x - y | ← substitute x = - 3 and y = 4

= - 2 | 6(- 3) - 4 |

= - 2 | - 18 - 4 |

= - 2 × 22

= - 44

Answer:

TriangleJXP = Triangle HCD

Side XJ = side HC

Side CD = side JP

Side PX = HD

Step-by-step explanation:

Looking at both of the triangles you use the lines on “top” of the side. These lines represent congruence meaning that they are similar to each other.

So looking at side JP u can see that there are two lines meaning that this is the second side that is congruent to another side, side CD.

Hope this helps.

Answer:

12, 17, 24

Step-by-step explanation:

To find the first 3 terms, substitute n = 1, 2, 3 into the rule, that is

T₁ = 1² + 2(1) + 9 = 1 + 2 + 9 = 12

T₂ = 2² + 2(2) + 9 = 4 + 4 + 9 = 17

T₃ = 3² + 2(3) + 9 = 9 + 6 + 9 = 24

Answer:

12, 17, 21 is the answer to the question

Answer:

Step-by-step explanation:

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