Solve the system of equations shown below algebraically.
x+y=1
x^2+y^2=61​

Answer:

m = 4.5

Step-by-step explanation:

2 = 2m - 7

add 7 to both sides

9 = 2m

divide by 2 on each side

4.5 = m

CHECK:

2 = 2(4.5) -7 (TRUE)

2 · 4.5 = 9

9 - 7 = 2

I hope this helps!

Answer:

m=4.5

Step-by-step explanation: First, add 7 to each  side and you get 9=2m. divide each side by 2 and you get m=4.5

Answer: The solution is k = -171.92.

Answer:

k = - 171.92

Step-by-step explanation:

[tex]\frac{k}{5.6}[/tex] + 41.5 = 10.8 ( subtract 41.5 from both sides )

[tex]\frac{k}{5.6}[/tex] = - 30.7 ( multiply both sides by 5.6 to clear the fraction )

k = - 171.92

Step-by-step explanation:

3 to the power of 5

3^5

= 3x3x3x3x3

= 243

Answer:

243

Step-by-step explanation:

3^5=243

Answer:

  a) g(0) = -4

  b) x = -2 or +2 for g(x) = 0

  c) domain: all real numbers; range: y ≥ -4

Step-by-step explanation:

g(0) is the value of the function when x=0. That is where the function crosses the y-axis. g(0) = -4.

__

g(x) = 0 where the graph crosses the x-axis. The x-values there are ...

  x = -2 and x = 2

__

The domain is the horizontal extent of the graph. Here, we assume the graph extends to infinity both in the upward direction and to the left and right. Thus the horizontal extent (domain) is from -∞ to +∞, or "all real numbers."

The point where the graph crosses the y-axis is a minimum. There are no y-values below that point. So, the vertical extent (range) of the graph is from y=-4 to +∞.

  y ≥ -4 . . . . range

Answer:

5x^5

Step-by-step explanation:

5x^2*4x^3/4

Divide

5x^2*1x^3

Multiply and Calculate

5x^5

answer: [tex]25x^{3}[/tex]

steps to solve:

→ let's write this out as an equation instead of in word form. 5x to the power of 2 times 4x to the power of 3 divided by 4 is [tex]\frac{5^{2} * 4x^{3}}{4}[/tex].

→ first, calculate the power of [tex]5x^{2}[/tex]. [tex]5x^{2} = 25[/tex], so now we have [tex]\frac{25^{2} * 4x^{3}}{4}[/tex]

→ now, multiply the monomials. [tex]25 * 4x^{3} = 100x^{3}[/tex].

→ [tex]\frac{100x^{3}}{4}[/tex]. we need to cross out the common factor, which is 4. 100 divided by 4 is 25. we're now left with [tex]25x^{3}[/tex].

so, [tex]25x^{3}[/tex] is the answer

Using the function concept, it is found that:

In a function, one value of the input can be related to only one value of the output.

In this problem, at Graph A, when x = 5, for example a vertical line crosses the function 3 times, hence there are 3 respective values of y for x = 5, and the same is valid for other values of x, hence it is not a function.

At Graph B, for each value of x, there is only one value of y, hence it is a function.

Hence:

Graph B is a function because each value of x corresponds to exactly one y-value.

To learn more about the function concept, you can take a look at https://brainly.com/question/12463448

Answer:

I think the answer would be 10%.

Answer:

36

Step-by-step explanation:

Answer: 7*4 is 28 square centimeters...

Answer:

y=3/2x-7

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(5-(-1))/(8-4)

m=(5+1)/4

m=6/4

simplify

m=3/2

y-y1=m(x-x1)

y-(-1)=3/2(x-4)

y+1=3/2(x-4)

y=3/2x-12/2-1

y=3/2x-6-1

y=3/2x-7

List the factors for 48 and -16 and find the greatest common factor .

48= 1 ,48

2, 24

4, 12

6, 8

16 = 1,16

2,8

4, 4

The Greatest common factor between these two is 8. Because they have a 8 in common.

8(6x^2-2x)

Answer:

2d+20

Step-by-step explanation:

since he is 20 pounds greater than denny you would just add 2d and 20 im pretty sure

or ig you want to write out the whole thing it would be y=2d+20

Hope This Helps!!

Answer:

[tex]2d + 20[/tex]

Hope you could get an idea from here.

Doubt clarification - use comment section.

Answer:

6/12 or 1/2 If you simply

Step-by-step explanation:

multiply straight across

Answer:

1/2

[tex] \frac{3}{4} \times \frac{2}{3} = \\ \frac{3 \times 2}{4 \times 3} = \frac{6}{12} or \: \frac{1}{2} [/tex]

Answer:

whats the question??  lol

Step-by-step explanation:

Answer:

the answer should be 2

Step-by-step explanation:

8×13=104

208÷104=2

Answer:

w = 2

Step-by-step explanation:

V_rectangular prism = l * w * h

208 = 13 * w * 8

208 = 104 * w

w = 208/104

w = 2

-Chetan K

Answer:

75m

Step-by-step explanation:

They are similar triangles: they have two corresponding angles: in a triangle with an angle of 90°, the other two will be of 45°.

Now that we know they are similar, we can calculate the ratio of the sides, by doing 10/2=5

We want to know the side AT, so we can do that by multiplying DC for 5:

DC = 15 × 5 = 75m

You can also check this by applying Pythagoras' Theorem:

DB =

[tex] \sqrt{15^{2} + 2^{2} } [/tex]

Which equals 15.1 m

The hypotenuse of the other triangle is 15.1 × 5 = 75.5 m

Finally, we can apply for the last time the Pythagoras' Theorem to find AT:

[tex] \sqrt{75.5^{2} - 10 {}^{2} } [/tex]

Which equals 74.8 = 75 m

Answer: 5x-5 or 5(x-1)

Step-by-step explanation:

1. take away parentheses, add because asking for "sum"

=x-4+4x-1

2. add

=5x-5

3. if u need to factor it:

5(x-1)

Answer:

Explanation

Step-by-step explanation:

If you look closely, every route connected to region 2 could go to either region 1 or 3, which each could go back to region 2 in 3 different formats. For example the top bridge of region 2, could go through region 1, then region 3 then to the middle bridge of region 2. This can happen for all three of the other route when going backs and works for all bridges in region 2.

Answer:

the answer is 9

Step-by-step explanation:

Answer:

solution,                                                                                                                                     cp=Rs150                                                                                                                                        profit=Rs12                                                                                                                              Now,                                                                                                                                                   profit percent=profit% of cp                                                                                              or,profit percent=12/100 x Rs150                                                                                                Therefore,profit percent =18%

Step-by-step explanation:

Answer:

8%

Step-by-step explanation:

We know that

Profit% = Profit/CP × 100

=> 12/150 × 100

=> 12/15 × 10

=> 4/5 × 10

=> 8%

Answer:

-1 + 4 = -0.25(-4-8)

Step-by-step explanation:

Step 1: graph your points

Step 2: draw a line thru the points

Step 3 find the slope: -0.25 or -1/4

SLOPE POINT FORM:

y-y1=m(x-x1)

(-1)-(-4) = -0.25(-4-8)

-1 + 4 = -0.25(-4-8)

Hope that helps

The equation that represents they function f(x) = (1.6)^x after it has been translated 5 units up and 9 units to the right is;

g(x) = [(1.6)^(x - 9)] + 5

We are given the function;

f(x) = (1.6)^x

Now,when we translate a function 9 units to the right, it means that we will subtract 9 from the x unit to give;

g(x) = (1.6)^(x - 9)

Now, when we translate it 5 units upwards, it means we are adding 5 to f(x). Therefore, we now have;

g(x) = [(1.6)^(x - 9)] + 5

Read more on translation of graphs at; https://brainly.com/question/11468584

Answer:

each student gets 2 bars and a quarter of one (2.25 or 2 1/4)

Step-by-step explanation:

Answer:

∠DAB=140

∠BAC=60

∠EBF=40

∠ACB=80

∠BCG=100

Step-by-step explanation:

Answer:

Its 96 bro :) 96 students

Step-by-step explanation:

Basically yeah, 800 is 100% of the population yeah. So just multiply 800 times 12%. 800 x 12% is 96.

96 = 12% of 800, I hope this helps!

Answer:

The personal hygiene part of the store (I think)

Step-by-step explanation:

This is an ultimately weird question, so I don't really know. But my answer is what I think, (I don't even know if it exists though).

Answer:

7(9 + 14)

Step-by-step explanation:

The Greatest Common Factor of 35 and 63 is 7; both 35 and 63 are evenly divided by 7.  Thus, 35 + 63 can be rewritten as 7(5) + 7(9), or 7(14)

So 35 + 63 = 7(9 + 14)

Answer:

= 98

Step-by-step explanation:

Answer:

The fourth one

Step-by-step explanation:

I know that is correct