1. х2 - 3x = 16 solve quadratic​

Answer:

Mercury's temperature > Mars' temperature

Step-by-step explanation:

The average surface temperature on Mercury is 167 degrees C, and the average surface temperature on Mars is -65 degrees C. 167 is greater than -65, so Mercury > Mars.

Answer:

yz√5xy

Step-by-step explanation:

hope this helps

Answer:

I think it is d or a. I might be wrong sorry

Step-by-step explanation:

Answer:

Quadratic equation in vertex form: y = 2(x + 3)²+ 0

Step-by-step explanation:

The vertex form of a quadratic equation is:

y = a (x - h)² + k  where:

The value of a determines that the graph opens up or down.  If a is positive, the graph opens up. The value of a also makes the parent function wider or narrower.  

The vertex of the given parabola occurs at point (h, k) where the parabola intersects the axis of symmetry, x = h. It is also determines whether it is either the maximum or minimum point on the graph.

The quadratic equation of the graph in vertex form is: y = 2(x + 3)²+ 0

where:

a = 2

vertex (minimum point) = (-3, 0)

axis of symmetry: x = -3

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The measure of z in its simplest form is 3√11

We solve the triangle using pythagoras' theorem.

Pythagoras' theorem states that in any right angled triangle with sides a, b and hypotenuse side, c which is the longest side, the square of the hypotenuse side equal the sum of the squares of the other two sides.

So, according to Pythagoras' theorem,

c² = a² + b²

Since we have three right angled triangles, in the smallest right angled triangle, we have

z² = y² + 3²  (1)

In the next larger right angled triangle, we have

x² = y² + 27² (2)

In the largest right angled triangle, we have

(3 + 27)² = z² + x²

30² = z² + x² (3)

Substituting (2) into (3), we have

30² = z² + x²

30² = z² + y² + 27²

30² - 27² = z² + y²

900 - 729 = z² + y²

171 = z² + y²

z² = 171 - y² (4)

Equating (1) and (4), we have

y² + 3² = 171 - y²

y² + 9 = 171 - y²

y² + y² = 171 + 9

2y² = 180

y² = 180/2

y² = 90

Substituting y² into (1), we have

z² = y² + 3²

z² = 90 + 9

z² = 99

z = √99

z = 3√11

So, the measure of z is 3√11

Learn more about pythagoras' theorem here:

https://brainly.com/question/654982

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Answer: first answer 3, 2nd answer 10.

Step-by-step explanation:

I just did the question on acellus

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

The quotient will be :

Remainder :

Solution is in attachment ~

Answer:

[tex]1828 \div 56 \\ = 32[/tex]

[tex]remainder = 36[/tex]

Please refer the attachment for step by step explanation

Hope this helps you.

Let me know if you have any other questions :-):-)

Answer:

Let A have speed 'a.' Remember distance is rate times time, and the Pythagorean theorem. We then have (2a)^2+(2(a+5))^2=50^2. a=15, so the other rate is 20.

Step-by-step explanation:

Answer:

8)61.5 9)42.1

Step-by-step explanation:

8)61.5

area of square 10×10=100

circle=pie r^2

3.5^2×pie

=38.5

100-38.5=61.5

9)14×14=196

14/2=7

7=radius

pie×7^2

=153.9/2(because circle is half)

=76.95

76.95×2

=153.9

=196-153.9

42.1

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The rate of inflation between year 1 and year 2, based on the CPI, is  c. 33.33%.

The Consumer Price Index (CPI) allows us to calculate inflation. To find the inflation across these years, use the formula:

= (CPI₂ - CPI₁) / CPI₁ x 100%

Solving gives us:

= (200 - 150) / 150 x 100%

= 33.3%

In conclusion, the inflation is 33.3%.

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Answer: its the same amount

Step-by-step explanation:

[tex]6x {}^{3} - 15x {}^{2} - 9x \\ 3x(2x {}^{2} - 5x - 3) \\ 3x( 2x {}^{2} + x - 6x - 3) \\ 3x(x(2x + 1) - 3(2x - 1) \\ (2x + 1)[/tex]

Answer:

the correct answer is D on edge 2020 for me.

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

first we work out product of set b

6(m-4) = 6m -24

then reshow

-28+6m = 6m-24-4

-28 +6m -6m = 24-4

-28 =28

= 0

Answer:

1(79 x 36)

Step-by-step explanation:

9514 1404 393

Answer:

Step-by-step explanation:

When you have a lot of the same kind of problem to solve, it makes a certain amount of sense to let a spreadsheet do it. You can enter the formulas once, and then all you need to do is supply the different data for the different problems.

Here, we can put the equations into standard form, then use Cramer's Rule to solve them. For the two equations ...

we can define ...

  D = (ae -db)

Then the values of x and y are ...

  x = (ce -gb)/D

  y = (ag -dc)/D

The attached spreadsheet implements these equations to find the values of x and y.

__

The second equation of the 2nd Question is not given in standard form. To put it into standard form, we need to subtract 4y from both sides:

  x -4y = -5

_____

Additional comment

Many graphing calculators have matrix functions that will solve sets of linear equations, too. For those, you can use the function that puts the coefficient matrix into Reduced Row-Echelon Form. Often that function is named RREF( ), as it is on my TI-84 and HP-48 calculators. The input coefficient matrix will look like ...

  [tex]\left[\begin{array}{ccc}a&b&c\\d&e&g\end{array}\right][/tex]

and the output matrix will look like ...

  [tex]\left[\begin{array}{ccc}1&0&\text{x-value}\\0&1&\text{y-value}\end{array}\right][/tex]

Effectively, the equations are solved by "elimination." If the calculator shows [0 0 0] in the bottom row of output, it means the equations are dependent and there are infinite solutions. If it shows [0 0 1], the equations are inconsistent, and there are no solutions.

Domain: All real numbers or (-infinity, infinity)

Range: [-8, infinity)

Answer:

(- 12 , 2)

Step-by-step explanation:

f(x) -> f(kx)    |k| = |-3/4| = |- 0.75| = 0.75

0 < 0.75 < 1 , It's a horizontal stretch, (x,y) -> (x/k , y)

(9 , 2) -> (9 / (-3/4) , 2) -> (- 12 , 2)

Answer:

905,600 visitors

Step-by-step explanation:

added each number up and divided them by 5 (the total number of websites) to get 905,600

y= k x

c= k p

1.12 = k(3.5)

0.32 = k

y = 0.32x or c = 0.32p

y = 0.32x

y = 0.32(4.25)

y = $1.36

Answer:

28 / 4 = -7.v

Step-by-step explanation:

Answer:

$2.14 per gal.

Step-by-step explanation:

32.05/15 = 2.137 per gal

Answer:

first one

Step-by-step explanation: doesnt mention the number 8 variable anywhere

Answer:

A. 3r=5(r-30)

Step-by-step explanation:

on edge :)

Answer:

3:7

Step-by-step explanation:

The number of triangles is 6.

The number of squares is 8.

The total number of shapes is 14.

The unsimplified ratio of triangles to total shapes is 6:14.

The bigger number that both 6 and 14 can be divided by is 3.

That makes the ratio 3:7, and it cannot be simplified further.

Answer:

12

Step-by-step explanation:

4(1)+2(1)”3+7(1)”2-1

4+2+7-1

12

wait if x=-1 it’s zero

Answer:

2 3/5

Step-by-step explanation:

7 2/5 decreased by 4 4/5, Is the same as 7 2/5 - 4 4/5, which equals to 2 3/5.

19+80=180

99=180

180_99

81

Answer:

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

Step-by-step explanation:

4x + y = z

4x = z - y

x = 1/4z - 1/4y

Answer:

id go with B.

you'd get a mix because its bound to happen.

Here we have $400 originally and it is invested at an interest rate of 0.015 for 4 years.

Therefore we can say that the interest rate is 0.015 * 4 * 100 = 6% for the 4 years.

Simple interest is 6% / 4 = 1.5%.

And the principal is $400.