The graphs of these two equations intersect in how many points?

[tex]x^{2} +y ^ {2}=25[/tex]
[tex]x^{2} -y ^ {2}=3[/tex]

The difference between the functions f(x) and g(x) is the addition of a

constant to the value of x and changing

the sign of the output.

The graph of g(x) compared to f(x) is g(x) is shifted 3 units to the left and

reflected over the x-axis.

Reason:

The addition of a positive constant term to the input variable of a function,

shifts the graph to the left of the graph of

the parent function.

Please find attached the image of the graph of f(x), which is g(x) shifted to

the left by 3 units.

Step-by-step explanation:

Changing the sign of the output value from positive to negative;

When the output value of a function is changed from positive to negative,

and vice versa, it is equivalent to a reflection across the x-axis.

Therefore, the function g(x) is a reflection across the x-axis.

Therefore;

g(x) is shifted 3 units to the left and

reflected over the x-axis.

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\boxed{\mathsf{8(\dfrac{1}{2}\div2)- (\dfrac{1}{4} + 4)}}\\\\\\\huge\boxed{\mathsf{= 8(\dfrac{1}{4}) - (\dfrac{1}{4}+ 4)}}\\\\\\\huge\boxed{\mathsf{= 2 - (\dfrac{1}{4}+4)}}\\\\\\\huge\boxed{\mathsf{= 2 - \dfrac{17}{4}}}\\\\\\\huge\boxed{= \mathsf{ - \dfrac{9}{4}}}\\\\\\\\\\\\\\\huge\text{Therefore, your answer is: \boxed{\mathsf{- \dfrac{9}{4}}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\huge\boxed{\star \ \frak{Amphitrite1040:)}\ \heartsuit }[/tex]

Answer:

3x2+6x is a polynomial. Polynomials are algebraic expressions in which the variables have only non-negative integer powers. For example,: 5x2 - x + 1 is a polynomial.

Answer:

divide the given line into halves

Answer:

34

26

8

Step-by-step explanation:

Answer:

-1/3

Step-by-step explanation:

Answer:

-1/3

Step-by-step explanation:

5/12+(-9/12)

5/12 - 9/12 = -4/12

-4/12 = -1/3

Answer:

The variation in haemoglobin values in healthy human beings is relatively large; in women aged 18–49 years the mean haemoglobin concentration is 140 g/l while the value 2 standard deviations (SD) below the mean is 120 g/l, a difference of about 14%.

y = 138

Step-by-step explanation:

6x + 5x +2 = 90°

11x = 90 - 2

11x = 88

x = 8

5x + 2 + y = 180

5(8) + 2 + y = 180

40 + 2 + y =180

42 + y = 180

180 - 42 = y

y = 138

Answer:

x = 27

Step-by-step explanation:

similar triangles

26/18 = 39/x

      x = 39(18/26)

      x = 27

could also use

39/x = (39 + 26) / (x + 18)

to get to the same result

39(x + 18) = x(39 + 26)

39x + 702 = 39x + 26x

         702 = 26x

              x = 27

or

18/x = 26/39

    x = 18(39/26)

    x = 27

Answer:

10404

Step-by-step explanation:

Answer:

Step-by-step explanation:

The length of a rectangle is 2 inches more than its width. The area of the rectangle is equal to 12 inches more than three times the perimeter. Find the length

and width of the rectangle.

Answer: 19 + r = 23

Step-by-step explanation:

r = 4

19 + 4 = 23

Answer:

is this free choice?

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

Since A=pi x r2 There is a proportional relationship .

Answer:

90

Step-by-step explanation:

start from the beginning, then if you go 2 steps at a time, then you have 1 step left over at the end, let's assume the length of the stair case is x, so then we will be going up 2/3x steps, and have 1/3 x steps left.

2/3 x = somewhere between 80 and 90, so that means it must be divisible by 3, so 81,84,87,90

3/5 x ==> only 90

Answer:

he had $250.00 more at the end of lunch

Step-by-step explanation:

Answer:

.,l;'fnfcy

Step-by-step explanation:

gvnjd,g,ufk,lnm;lh;;rkiyltoltlt8tioll

Answer:

24 is the answer

Step-by-step explanation:

40% of 60

40/100x60

=0.4x60

=24

Answer:

Step-by-step explanation:

Dilation of a line about a point not on the line shifts the line but leaves the slope intact .

New line slope will be -2

As both A and C lie on a horizontal line y = 2, C' will also lie on the same line

The distance between A and C is 0 - 2 = -2

a scale factor of 3 means C' is -2(3) = -6 units left of A

C' = (2 - 6, 2) = (-4. 2)

Answer:

278/1

Step-by-step explanation:

The question is kind of unclear... though this is 80+198 simplified.

Hope this helped! :)

Answer:

Well your saying division but it looks like square root when you make the sharp edge there but I will answer the division one

so 21 goes into 65 3 times maximum

so 21*3 is 63

so we subtract 63 and put a 3 on top

so eventually you’d get 31.142857 (never ending decimal)

So you can convert into a fraction, at this rate I’d just put it in a calcualtor and it‘ll do it for you

so 31 1/7 is the final answer

Answer:

37.5cm sifjueikksksoowi

Answer:

38.5 = width

Step-by-step explanation:

Step-by-step explanation:

if I understand correctly, then f(x) has the domain of [-1, 1] and the range of [0, 1].

the domain of a function is the interval or set of the valid values of x. and the range is the interval or set of the valid values of y.

the new function we could call g(x) is

y = f(x+2) + 1

so, remember, f(x) is only defined for x values of of [-1, 1].

the argument of f(x) must never be outside that interval, or it is undefined.

the new function now uses f(x) in the form of f(x+2). that means, if we use the same x values as for the original f(x) we would land mostly in undefined areas (only x=-1 would work), because we would use f(x) with argument values from 1 to 3.

how can we regulate this back to the valid interval of -1 to 1 ?

by saying that the domain of g(x) is actually 2 less than the domain of f(x) : [-3, -1]

the "+ 1" at the end changes the range. g(x) has then a range interval that is greater by 1 than the range interval of basic f(x).

so, it is [1, 2]

Answer:

Not quite in proof format but here's a short explaination. You should be able to fill out the table yourself.

It is given that <T=<Y and <V+<U=180 degrees

<T=<Y are corresponding angles. Corresponding angles are congruent when the two lines (that the third line crosses to make a transversal) are parallel. So, l1 and l2 are parallel.

<V+<U are supplementary angles. They are same side interior angles. Same side interior angles are supplementary when two lines of the transversal are parallel (basically same thing as above, just different type of angle). So, l3 and l4 are parallel.

<R=<U because they are alternate interior angles. Alternate interior angles are congruent when the two lines are parallel (you have proved that l3 and l4 are parallel above).

<P=<C because they are alternate exterior angles. Alternate exterior angles are congruent when the two lines are parellel (you have proved that l1 and l2 are parallel above).

Answer:

See below:

Step-by-step explanation:

For the first one, we know <ABC is 90 degrees due to it being a rectangle.

Since we know that, the angles in that triangle are 41 degrees 90 degrees and y degrees (y is <AEB) in this case.

We know that the sum of angles in a triangle are 180 degrees therefore:

If we solve that, we get that y is 49 degrees.

Now to get x, we know its a supplementary angle, therefore 61 degrees + 49 degrees + x = 180 degrees.

We now know that x is 70 degrees

For the second one, since its an equilateral triangle, we know that all angles inside of it are 60 degrees.

What we can do is first find what <XZW is by subtracting 60 from 180 due to the supplementary angles theorum.

Therefore <XZW is 120 degrees.

Now, all angles inside a triangle are always 180 degrees so therefore:

[tex]x=180-(120+32)\\x=28[/tex]

For the final one, we know that <QRP is equal to 64 degrees due to the bottom two triangles of an isoceles triangle being equal.

On that, we get 23 degrees for the last one due to supplementary angles + 180 deg in triangle.

Answer:

y=−2x+8

Step-by-step explanation:

https://socratic.org/questions/how-do-you-write-an-equation-of-a-line-with-slope-2-y-intercept-8