Solve the following system of equations
-x^2+y^2=16
-2x^2+y^2=16
Provide your answer below
(x, y) (x, y)

Answer:

33

Step-by-step explanation:

6x4+9= 33

Answer:

Y =23,000X  -4,5744,000

in 2019 = $693,000

Step-by-step explanation:

x1 y1  x2 y2

2004 348000  2013 555000

(Y2-Y1) (555000)-(348000)=   207000  ΔY 207000

(X2-X1) (2013)-(2004)=    9  ΔX 9

slope= 23000          

B= -45744000          

Y =23000X  -45744000    

The rocket will land approximately 71.875 meters horizontally from its starting point on the roof.

An algebraic equation with the second degree of the variable is called an Quadratic equation.

Given that;

The path of the rocket can be modeled by the equation,

⇒ y = -0.04 x²+ 5.8x + 4.9,

where x is the horizontal distance, in meters, from the starting point on the roof and y is the height, in meters, of the rocket above the ground.

Now, We know that;

To determine how far horizontally from its starting point the rocket will land, we need to find the value of x when y equals zero.

Hence, We get;

⇒ y = -0.04 x²+ 5.8x + 4.9,

⇒ 0 = -0.04 x²+ 5.8x + 4.9,

⇒ x = (-5.8 ± √(5.8² - 4(-0.04)(4.9))) / 2(-0.04)

⇒ x = 71.875 meters

Thus, The rocket will land approximately 71.875 meters horizontally from its starting point on the roof.

Learn more about the quadratic equation visit:

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Answer:

Sự khác biệt giữa nhiệt độ - 7 độ C và - 12 độ C trên biểu đồ phân tán là gì

Step-by-step explanation:

Answer:

the answer to this question is 1

Step-by-step explanation:

the reason to that is because when the line goes over 2 and -2.

Answer:

first part is decreasing and increasing

second part is 3 and 5

Step-by-step explanation:

edg 2021

9514 1404 393

Answer:

  D.  y = -0.32x² -1.26x +15.81

Step-by-step explanation:

This is one of those multiple-choice questions where you only need a vague idea of what the answer is supposed to look like.

In this case the answer must be a quadratic equation with a negative leading coefficient. (The parabola opens downward.)

The only answer choice that is a 2nd degree polynomial with a negative leading coefficient is choice D.

__

A: linear equation

B: exponential equation

C: quadratic that opens upward (positive leading coefficient)

D: quadratic that opens downward -- the answer you're looking for

Answer:

2240

Step-by-step explanation:

4(5)(7)(7+9)

=2240

Answer:

x = 2240

Step-by-step explanation:

x= 4ab(b+9)

x= 4(5)(7)(7+9)

x= 4(35)(16)

x= 4(560)

x= 2240

Answer:

bdFd574)466&!'!9+/"(&$4+√®=™]

9514 1404 393

Answer:

  (6,2)

Step-by-step explanation:

As is often the case with multiple-choice problems, you don't actually need to know the detailed working. You just need to know what the answer looks like.

When point X is dilated by a factor of 2 with point Z as the center of dilation, it will move to a location twice as far from Z. You can tell by looking at the graph that X' will be in the first quadrant, above and to the right of the location of X. The only sensible answer choice is ...

  X' = (6, 2)

_____

Additional comment

X is a distance of X-Z = (4, 0) -(2, -2) = (2, 2) from Z Doubling that will put the image point a distance of 2(2, 2) = (4, 4) from Z. When this is added to Z, we find ...

  X' = Z + (4, 4) = (2+4, -2+4) = (6, 2)

Answer:

5

Step-by-step explanation:

3.14159265

Answer:

5

Step-by-step explanation:

3.14159265

5 is the 8th decimal point of π

Answer:

he worked 8 hours

Step-by-step explanation:

104= 8 x 6 + 7x

104= 48 + 7x

56= 7x

x=8

104 - 48= 56

56/7

Answer:

Equation - 7h + 8t = $104

Hours Worked = 8

Step-by-step explanation:

First, let's create an equation!

7h + 8t = $104 (Our variables are h = # of hours, and t = # of tables)

Now, we have to input what we know! We know that Allen worked 6 tables.

7h + 8(6) = $104

and finally we can solve this equation!

7h + 48 = $104

     -48     -48

7h = 56

÷7    ÷7

h = 8

In conclusion, Allen worked 8 hours!

Hope this Helps! :)

Have any questions? Ask below in the comments and I will try my best to answer.

-SGO

Answer:

3  3/8

Step-by-step explanation:

3.5/8 - 1/4 =  3   5/ 8 - 2/8  = 3  3/8

Answer:

x=10

Step-by-step explanation:

[tex]\frac{3}{3}[/tex]=[tex]\frac{x+3}{13}[/tex]

Solve by cross multiplying

13×3=39

3(x+3)=3x+9

3x+9=39

3x=30

x=10

Answer:

x=10

Step-by-step explanation:

Assuming that the triangles are similar to each other, you can set up ratios

[tex]\frac{3}{3}=\frac{13}{x+3}[/tex]

since 3/3 is 1 and we know that anything other than 0 over itself is 1, we can deduce that x=10

Answer:

Option B

Step-by-step explanation:

Answered by Gauthmath

lmk if you don't understand my handwriting

Answer:

96

Step-by-step explanation:

Mode is the number that appears most often

96 appears twice and is the only numbers that appears more than once

96 is the mode

Answer:

10+2(50-1)

Step-by-step explanation:

This is an arithmetic sequence

We know the first term a1 = 10

The common difference, d = 2

an = a1+d(n-1)

We want to find the number of terms when n = 50

a50 = 10+2(50-1)

Answer:

10 + 2 (50-1)

Step-by-step explanation:

Because this is an arithmatic sequence (sequence where the same number is added over and over) you would use the formula

(first number in sequence) + (number in sequence -1) * the difference in between each number in the sequence)

Answer:

2.5

Step-by-step explanation:

You can change the equation from multiplication to division to get rate or time. We need the rate, so the equation should look like this now:

[tex]Distance/Time=Rate[/tex]

Now, we need to plug in the numbers we have...

[tex](5)/(2)=Rate[/tex]

...and solve for Rate:

[tex]Rate=2.5[/tex]

Answer:

The value of [tex]x[/tex] is 10.

Step-by-step explanation:

Both angles ABC and CBD are complementary, that is, the sum of the measures of both angles equals 90°, that is:

[tex]\angle ABC + \angle CBD = 90^{\circ}[/tex] (1)

If we know that [tex]\angle ABC = 5\cdot x[/tex] and [tex]\angle CBD = 4\cdot x[/tex], then the value of [tex]x[/tex] is:

[tex]5\cdot x + 4\cdot x = 90^{\circ}[/tex]

[tex]9\cdot x = 90^{\circ}[/tex]

[tex]x = 10[/tex]

The value of [tex]x[/tex] is 10.

9514 1404 393

Answer:

  11.6 cm

Step-by-step explanation:

As the page title tells you, the Pythagorean theorem must be applied more than once. As you know, it tells you the square of the hypotenuse is the sum of the squares of the two sides.

  AD² = ED² +EA²

  EA² = AD²-ED² = 7² -6² = 13

  EA = √13 ≈ 3.606

__

  CD² = ED² +EC²

  EC² = CD² -ED² = 10² -6² = 64

  EC = √64 = 8

__

The length of the horizontal diagonal is ...

  AC = EA +EC = 3.6 +8 = 11.6 . . . cm

Answer:

True

Step-by-step explanation:

Considering the above definition of Pooled Variance, the correct answer is TRUE.

This is because Pooled variance is used to determine the reasonable estimates of variance, where several repeated tests are expected at each value.

This helps to provide greater precision estimates of variance.

Answer:

11 /36 of a pound

Step-by-step explanation:

Take the pounds and divide by the number of people

2 3/4 ÷ 9

Change the mixed number to an improper fraction

(4*2+3)/4 ÷9

11/4 ÷9

Copy dot flip

11/4 * 1/9

11/36

Answer:

Solution given:

f(x)=ax^4-bx^2+x+5 and

f(-3)=2

f(-3)=a(-3)^4-b(-3)^2+(-3)+5

2=81a-9b-3+5

2=81a-9b+2

subtracting both side by 2 and adding 9b

2-2+9b=81a-9b+9b+2-2

9b=81a

now

f(3)=a(3)^(4)-b(3)^(2)+3+5

f(3)=81a-9b+8

substituting value of 81a

f(3)=9b-9b+8

f(3)=8

By definition of conditional probability,

P(X ≤ 0.5 | X ≤ 1) = P((X ≤ 0.5) and (X ≤ 1)) / P(X ≤ 1)

but if X ≤ 0.5, then it's automatic that X ≤ 1, so

P(X ≤ 0.5 | X ≤ 1) = P(X ≤ 0.5) / P(X ≤ 1)

Given the PDF of X,

[tex]f_X(x) = \begin{cases}2e^{-2x}&\text{if }x\ge0\\0&\text{otherwise}\end{cases}[/tex]

the CDF would be

[tex]P(X\le x) = F_X(x) = \displaystyle\int_{-\infty}^x f_X(t)\,\mathrm dt[/tex]

[tex]F_X(x) = \begin{cases}0&\text{if }x<0\\1-e^{-2x}&\text{if }x\ge0\end{cases}[/tex]

So we have

P(X ≤ 0.5 | X ≤ 1) = (1 - exp(-2 × 0.5)) / (1 - exp(-2 × 1))

… = (1 - exp(-1)) / (1 - exp(-2))

… = (1 - 1/e) / (1 - 1/e ²)

… = (e ² - e) / (e ² - 1)

… = e / (e + 1) ≈ 0.7312

Answer:

26 miles per gallon

Step-by-step explanation:

Take the miles and divide by the gallons

455 miles / 17.5 gallons

26 miles per gallon

Answer:

Not a function

Step-by-step explanation:

There are two points in the set that have the same x-value or "input": (6,4) and (6,-4). This fails the vertical line test which means that one input will give two potential outputs. This cannot make a function.

Answer:

C

Step-by-step explanation:

-2x + 7= 3x -8

+8

-2x + 15=3x

+2x

15=5x

divide

x=3

put 3 in one of the equations

y= 3(3) - 8

y=9-8 = y=1

answer is c

:))))