A system of equations and its solution are given below.

System A
5x-y=-11
3x-2y=-8
solution: (-2,1)

To get system B below, the second equation in system A was replaced by the sum of that equation and the first equation in system A multiplied by -2.

System B
5x-y=-11
?


A.
The second equation in system B is -7x = 14. The solution to system B will not be the same as the solution to system A.
B.
The second equation in system B is -7x = 14. The solution to system B will be the same as the solution to system A.
C.
The second equation in system B is 7x = 30. The solution to system B will be the same as the solution to system A.
D.
The second equation in system B is 7x = 30. The solution to system B will not be the same as the solution to system A.

Answer:

(B) h is the function name; t is the input, or independent variable; and h(t) is the output, or dependent variable.

Step-by-step explanation:

You've probably seen this function notation format before, most likely f(x). Other common ones are g(x) and p(x). The f, g, and p are just function names, like the h in this question.

The t in the parentheses is the input, because it's the same as the t in 210 - 15t.

Together, h(t) is the output, which is the exact same as y if you used the formula y = mx + b.

Hope it helps (●'◡'●)

Answer:

Step-by-step explanation:

(cos 4a*cos 2a+sin 4a*sin 2a)/sin 4a

=[cos (4a-2a)]/sin 4a

=(cos 2a)/sin 4a

=(cos 2a) /(2 sin 2a cos 2a)

=1/(2 sin 2a)

=1/2 csc 2a

Answer:

2

Step-by-step explanation:

1/4(-4×3 + 10×2)

1/4(-12 + 20)

THERE ARE 2 WAYS YOU COULD SOLVE THIS!

1. 1/4( -12) + 1/4( 20) = -3 + 5 = 2

2. 1/4 ( -12+20) = 1/4(8) = 2

Answer:

[tex]9[/tex]

Step-by-step explanation:

Given:-

Expression:  [tex]\frac{1}{4} (c^3+d^2)[/tex]

Value of c = [tex]-4[/tex]

Value of d = [tex]-10[/tex]

Solution:-

Add the given values in the expression, writing them inside the bracket:

[tex]\frac{1}{4} ((-4)^3+(-10)^2)[/tex]

[tex](\frac{1}{4}) ((-4)^3)+(\frac{1}{4} )((-10)^2)[/tex]

[tex]-16+25[/tex]

[tex]9[/tex]

Answer:

[tex]2 {x}^{2} - x - 1 \\ 2 {x}^{2} - (2 - 1)x - 1 \\ 2 {x}^{2} + 2x - 1x - 1 \\ 2x(x + 1) - 1(x + 1) \\ (2x - 1)(x + 1)[/tex]

Answer:

it is what it is

Step-by-step explanation:

Answer:

Answer:[tex]13c = 65 \ \ c = \frac{65}{13} \ \ c = 5[/tex]  More

Answer:

angle 3

angle 2

Step-by-step explanation:

Mathematically, from the angle sum theorem of triangles, the sum of two opposite interior angles of a triangle equals the exterior angle on the third side

Now, for angle 1, it is an exterior angle for angle 4

The two other opposite interior angles that would make angle 1 is simply angles 3 and 2

Answer:hope this helps.. please mark as brainliest.....

9514 1404 393

Answer:

  30°, 60°, 90°, 120°, 150°, 270°

Step-by-step explanation:

Let x represent the smallest angle. Then the sum of angles of the hexagon is ...

  x + 2x + 3x + 4x + 5x + 9x = 720°

  24x = 720°

  x = 30°

The angles are ...

  30°, 60°, 90°, 120°, 150°, 270°

Answer:

hope it helps

Answer:

[tex]\frac{125}{999}[/tex]

Step-by-step explanation:

Process of Elimination,  the decimal is 0.125 repeating

[tex]\frac{1}{8}[/tex] as a decimal is 0.125

[tex]\frac{1}{4}[/tex] as a decimal is 0.25

(Those two should've been easy to eliminate)

[tex]\frac{125}{1000}[/tex] as a decimal is 0.125  (since there are three zeros in the denominator, you move the decimal three spots to the left.)

This leaves us with:

[tex]\frac{125}{999}[/tex] If you divide 125 ÷ 999 you get 0.125125125...

Hope this helps Stay safe:)

Answer:

40.5 square inches

Step-by-step explanation:

Rectangle consists of two identical squares.

So, if the sides of square = x,

Then,  Width of rectangle = x     &

Length of rectangle = x +x = 2x

Perimeter of rectangle = 27 inches

2*(length + width) = 27

2*( 2x + x) = 27    {Combine like terms]

2* 3x = 27

    6x= 27           {Divide both sides by 6}

       x = 27/6

x = 4.5

Width = x = 4.5 inches

Length = 2x = 2*4.5 = 9 inches

Area of rectangle = length *width

                             = 4.5 *9

                             = 40.5  square inches

Answer:

40.5

Step-by-step explanation:

Answer:

ok so first they drove 55 for 3 hours so

55*3=165

and then they drove 45 for 2 hours

45*2=90

165+90=255

so in total they drove 255 miles

Hope This Helps!!!

The solution is : 255 miles total miles did the Ramos family drive.

Speed is measured as distance moved over time. The formula for speed is speed = distance ÷ time. To work out what the units are for speed, you need to know the units for distance and time. In this example, distance is in metres (m) and time is in seconds (s), so the units will be in metres per second (m/s).

Speed = Distance/ Time.

here, we have,

given that,

The Ramos family drove to their family reunion. Before lunch, they drove at a constant rate of 55 miles per hour for 3 hours. After lunch, they drove at a constant rate of 45 miles per hour for 2 hours.

we get,

Journey before lunch:

Speed = 55 mph

Time = 3 hrs

distance = 55*3 = 165 miles.

Journey after lunch:

Speed = 45 mph

Time = 2 hrs

distance = 45 * 2 = 90 miles

Total miles driven

= distance traveled before lunch + distance traveled after lunch

= 165 miles + 90 miles

= 255 miles

Therefore, the Ramos family drove 255 miles in total.

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Answer:

Step-by-step explanation:

I'm assuming you're looking for the age of the mammal hide, since there's no question here, but there's also nothing else to solve for. Remember a few things before we move on. First, if we are not told the initial amount with which we start, we have to assume that it's 100%. Second, remember that natural log and e are inverses of each other so they eliminate each other in application. Now to set up the problem. It looks like this:

[tex]71=100e^{-.0001t}[/tex] and begin by dividing both sides by 100 to get

[tex].71=e^{-.0001t}[/tex] and take the natural log of both sides. The other important thing to remember about the rules for logs and natural logs is that when you take the natural log of something, you are "allowed" to move the exponent down out front, which is why we do this. We cannot currently solve for t when it's stuck up there where it is right now. Taking the natural log allows us to bring that exponent down AND eliminate both the natural log and the e at the same time:

ln(.71) = -.0001t and we divide to solve for t:

[tex]\frac{ln(.71)}{-.0001}=t[/tex] and

[tex]\frac{-.3424903089}{-.0001}=t[/tex] so

t = 3424.9 years, or rounded, 3425 years.

Answer:

T(x) = 21 + 4.5x

Step-by-step explanation:

Given :

Original temperature = 21°C

Final temperature = 75°C

Time, x = 12 minutes

The temperature, T as a function of x, heating time in minutes :

We need to obtain the constant heating rate per minute :

Final temperature = initial temperature + (constant rate change,△t * time)

75 = 21 + 12△t

75 - 21 = 12 △t

54 = 12 △t

△t = 54 / 12

△t = 4.5°C

Hence, temperature change is 4.5°C per minute.

Hence,

T(x) = 21 + 4.5x

Answer:

T= 21+4.5x

Step-by-step explanation:

I got it right on Khan Academy

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Answer:

D) 4.7

Step-by-step explanation:

this perpendicular connection with the circle center cuts this intersecting line in half, which is therefore on both sides of x 6.5 long.

I assume 16 is the diameter, so the radius is 8.

therefore, x is one side of the right-angled triangle of

radius

x

half of the intersecting line

Pythagoras

8² = x² + (6.5)²

64 = x² + 42.25

21.75 = x²

x = 4.7

Answer:

18

Step-by-step explanation:

f(x)=2x(2+1)

f(3)=2(3)(2+1)

    =6(2+1)

    =12+6

    =18

Answer:

(S-2πr^2)/ 2πr = h

Step-by-step explanation:

S = 2πrh + 2πr^2

Subtract 2 pi r^2 from each side

S-2πr^2  = 2πrh + 2πr^2 -2πr^2

S-2πr^2  = 2πrh

Divide each side by 2 pi r

(S-2πr^2)/ 2πr = 2πrh/2πr

(S-2πr^2)/ 2πr = h

It is given that,

→ S = 2πrh + 2πr²

Now subtract 2πr² from the both sides,

→ S - 2πr² = 2πrh + 2πr² - 2πr²

→ S - 2πr² = 2πrh

Then divide both sides by 2πr,

→ (S-2πr²)/2πr = 2πrh/2πr

→ (S-2πr²)/2πr = h

Hence, (S-2πr²)/2πr = h is the result.

Answer:

[tex]a \div (b + c) = (a \div b) + (a \div c) \\ 6 \div (5 + 7) = (6 \div 5) + (6 \div 7) \\ 0.5 = 1.2 + 0.86 \\ 0.5 = 2.06[/tex]

Answer:

-3

Step-by-step explanation:

If the equation is y = -5x -3, the y intercept is -3, and the slope is -5x. The number without a variable next to it, of any sort is always the y-intercept.

Answer:

Step-by-step explanation:

3 sides= triangle

so.. 4m+4m+4m= 12 meters

Answer:

(3,-19)

Step-by-step explanation:

To find the approximation where both functions equal, find where both lines intersect at. Both lines intersect in the Fourth Quadrant so The first 2 are wrong.

The y coordinate is lesser than -10 so the 4th one is wrong.

The answer is (3,-19)

Explanation:

The solution to f(x) = g(x) is where the f(x) and g(x) curves cross, aka the intersection point.

Based on the graph alone, it's a bit tricky to tell where they cross. Luckily, your teacher gave you multiple choices to pick from. We can rule out choices A and B since x < 0 here, but the x coordinate of the intersection is positive.

Choice D can be ruled out because the intersection point has a y coordinate such that -20 < y < -15. It looks like y is much closer to -20 than it is to -10. So there's no way to have y = -8 happen.

The only thing left is choice C. It appears that the intersection point could be (3,-19).

Answer:

D.

Step-by-step explanation:

Because it's shaded above both lines, both equations need a 'y >'

Answer:

2

Step-by-step explanation:

x + 3 = 5

x = 5 - 3

x = 2

Therefore, x=2 in the given equation

Answer:

2

Step-by-step explanation:

x+3=5

x=5-3

x=2

Hope it helps

Answer:

B

Step-by-step explanation:

t = 20u

r = 5u/2

3rt = 3((20u)(2.5u))

3rt = 3(50u)

3rt = 150u

The value for the expression 3rt is 50u².

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

We have  t = 20u and r= 5u/2.

We have to find the value of 3rt by putting the value of t and r as

3rt

= 3 (5u/ 2) (20u)

= 5u x 10u

= 50 u x u

= 50 u²

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Answer:

A is the Answer

Step-by-step explanation:

Since the population is being split up into 2 divisions out of 5,000.

This means District X and Y must add up 5000.

[tex]x + y = 5000[/tex]

District X and Y must differ no more than 500 people.

So this means that X and Y total people difference cannot be over 500 people. So the equation for this is

[tex]x - y \leqslant 500[/tex]

A shows this so A is the answer.

Answer:

radius = 5

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

Here r² = 25 ( take the square root of both sides )

r = [tex]\sqrt{25}[/tex] = 5

Answer:

A. 3.75 pounds

Step-by-step explanation:

16 ounces = 1 pound

converting 60 ounces to pounds

Let x = number of pounds

60 ounces = x pounds

Find the proportion

16 / 1 = 60 / x

Cross product

16 * x = 1 * 60

16x = 60

Divide both sides by 16

x = 60/16

x = 3.75

Therefore,

60 ounces = 3.75 pounds

When a pair of parallel lines is intersected by a transversal, then

Interior opposite angles are equal.

So, (3x + 4)° = 115°

=> 3x + 4 = 115

=> 3x = 115 - 4

=> 3x = 111

=> x = 111/3

=> x = 37

Answer:

37

Step-by-step explanation:

So, if you got two parallel line, which are crossed by another line, the conterminal angles are gonna be as big as each other.

what we get outta this explanation is

3X+4=115===> 3X=111===> X=37