Two functions are given below: f(x) and h(x). State the axis of symmetry for each function and explain how to find it.
Ps. I just need h(x)

Answer:

[tex]r=4[/tex]

Step-by-step explanation:

We know that the slope of the line is -1.

We also know that the line passes through (-9, 3) and (-10, r).

We want to find the value of r.

First, let's figure out the equation of our line. We can use the point-slope form:

[tex]y-y_1=m(x-x_1)[/tex]

Where m is the slope and (x₁, y₁) is a point.

So, let's substitute -1 for m. Since we know the point (-9, 3), let's use this for (x₁, y₁).

Substitute:

[tex]y-(3)=-1(x-(-9))[/tex]

Simplify:

[tex]y-3=-(x+9)[/tex]

Distribute:

[tex]y-3=-x-9[/tex]

Add 3 to both sides. So, our equation is:

[tex]y=-x-6[/tex]

It passes through (-10, r) and we want to find the value of r. So, let's substitute -10 for x and r for y, since -10 is our x and r is our y. So:

[tex]r=-(-10)-6[/tex]

Evaluate for r. Distribute:

[tex]r=10-6[/tex]

Subtract:

[tex]r=4[/tex]

So, the value of r is 4.

And we're done!

Answer:

51+(4x+7)=90

4x+58=90

-58      -58

4x=32

4x/4=32/4

x=8

Step-by-step explanation:

Answer:

0.7

Step-by-step explanation:

7/10=0.7

Answer:

The  answer is  C 4.88 x 106

Step-by-step explanation:

Answer:

otation of a point through 180°, about the origin when a point M (h, k) is rotated about the origin O through 180° in anticlockwise or clockwise direction, it takes the new position M' (-h, -k). Find the co-ordinates of the points obtained on rotating the points given below through 180° about the origin.(i) A (3, 5)            

(ii) B (-2, 7)          

(iii) C (-5, -8)      

(iv) D (9, -4)

Solution:

When rotated through 180° anticlockwise or clockwise about the origin, the new position of the above points is.

(i) The new position of the point A (3, 5) will be A' (-3, -5) ii) The new position of the point B (-2, 7) will be B' (2, -7) (iii) The new position of the point C (-5, -8) will be C' (5, 8)

(iv) The new position of the point D (9, -4) will be D' (-9, 4)

2. Plot the point M (-1, 4) on the graph paper and rotate it through 180° in the anticlockwise direction about the origin O. Find the new position of M.

Solution:

180 Degree Rotation

0Save

When rotated through 180° in the anticlockwise direction about the origin O, then M (-1, 4) → M'' (1, -4).

3. Draw a line segment joining the point P (-3, 1) and Q (2, 3) on the graph paper and rotate it through 180° about the origin in anticlockwise direction.

Solution:

180 Degree Rotation about the Origin

0Save

On plotting the points P (-3, 1) and Q (2, 3) on the graph paper to get the line segment PQ.

Now rotate PQ through 180° about the origin O in anticlockwise direction, the new position of points P and Q is:

P (-3, 1) → P' (3, -1)

Q (2, 3) → Q' (-2, -3)

Thus, the new position of line segment PQ is P'Q'.

Step-by-step explanation:

Answer:

um 22 /20

is the question

if it's the case of factorised

than answer is 11/10

Answer:

48/5

Step-by-step explanation:

I will assume that you mean [tex](2\frac{2}{5}) \cdot 4[/tex].

This is equivalent to [tex](\frac{12}{5}) \cdot 4 = \boxed{\frac{48}{5}}[/tex]

Answer:

All integers greater than 4

Step-by-step explanation:

I took the test.

Answer:

12

Step-by-step explanation:

so here, the ratio of apples to oranges is 1:3. this can also be represented as the fraction 1/3. now, we are trying to find the number of oranges when there are 4 apples using this ratio. this means 1/3=4/x, where x is the number of oranges. we can multiply 1 by 4 (the numerator) to get 4, so we can multiply the denominator of the first fraction by 4 as well 3*4=12, so there are 12 oranges for every 4 apples. (4/12 can also be written as 4:12.)

Answer:

12

Step-by-step explanation:

nos of oranges for 4 apples = 4x 3

                                               = 12

therefore, the ratio is 4:12 i.e. 1:3

pls mark as brainliest!

Answer: In algebra, like terms are terms that have the same variables and powers. The coefficients do not need to match. Unlike terms are two or more terms that are not like terms, i.e. they do not have the same variables or powers. The order of the variables does not matter unless there is a power. For example, 8xyz² and −5xyz² are like terms because they have the same variables and power while 3abc and 3ghi are unlike terms because they have different variables. Since the coefficient doesn't affect likeness, all constant terms are like terms.

I HOPE THIS HELPED ! :) mark me brainlist pls

Answer:

by combining them like the ordinary like ordinary integers.

Step-by-step explanation:

For example we have

8x + 4y = 3x - 6

you will bring 3x to the left so it will become -3x

8x - 3x + 4y = -6

then combine like terms

there you have

5x + 4y = -6

The given:

8x + 4y = 3x - 6

8x - 3x + 4y = -6

5x + 4y = -6

answer for the example: 5x + 4y = -6

Answer:

They should multiply the amount of potatoes by 5. 12 is 1/5 of 60. Therefore, if you need 4 pounds of potatoes for 12 people, then you will need 20 pounds of potatoes for 60 people.

Step-by-step explanation:

Answer:

2 whole number 1 out of 4

Step-by-step explanation:

11/12 x 3

11/4 = 2remainder 3

2 whole number 3 out of 12

When u reduce it will be 2 whole number 1 out of 4

Answer:

1,5,25,125,

all can be added or multiplied to equal 125

Answer:Answer Expert Verified. The Answer is that the present value of $100 is $100. Because this $100 dollar is deposited today so the time is equal to zero and when time is zero the value of amount is the value of amount itself.

Step-by-step explanation:

Answer:

$105

Step-by-step explanation:

5.5+8.5=14

14 * 7.5=105

Answer:

35&37

Step-by-step explanation:

Well 18% of 200 is 36 so...

Answer:

y = 1/3x + 2

Step-by-step explanation:

Rise over run + y intercept

Answer:

28 action movies

Step-by-step explanation:

I hope this helps!

Answer:

2.37 ; 1.6731

Step-by-step explanation:

Given the data:

X:___0____1____2____3____4____5

P(x):_0.10_0.15_0.26__0.30_0.15__0.04

the expected frequency of floods per town per summer

Σ(flood per Town per summer) * probability

Σ(X)*p(x)

Σ(0*0.10) + (1*0.15) + (2*0.26) + (3*0.30) + (4*0.15) + (5*0.04)

= (0 + 0.15 + 0.52 + 0.90 + 0.60 + 0.2)

= 2.37

Variance (s²) :

Σ[x². P(x)] - u²

Using an online variance calculator to save computation time :

s² = 16731 / 10000

s² = 1.6731

Answer:

B A C C

Step-by-step explanation:

The correct answer is 12.

I hope this helps you!!

Answer:

a) 4x-3

b)2x+7

c) 3x^2-13x-10

d) (3x^2+2)/(x-5)

Step-by-step explanation:

If you care to learn how these were solved and weren't just looking for answer let me know.

Answer:

T,F,T,F,T

Step-by-step explanation:

1. It crosses it there becuase 4(0)-15=-15 for y

2: both top and middle answers are -23, so continuous

3: it increases over that period because the exponent keeps getting bigger

4: No, its not decreasing because -12 plugged in is far less than -23 when -2 is plugged in, meaning its increasing

5: There is no number that would cause an imaginary number or make you divide by zero, meaning all real numbers are fine.

Answer: 4. No, the graph is NOT a function because using the vertical line test, it intersects at two points at a time.

5. Yes, it is a relation, and it is also a function because once those points are plotted if given the vertical line test, there would not be two points crossed at once. So, yes, it is a function.

6. Yes, it is a relation. No, it does NOT make up a function because a vertical line would intersect all the points given.

Answer:

its d

Step-by-step explanation:

y=-3/4+3 I think that's right

Answer:

D- i think because it wouldn't be 4/3 because you cant go over 4 and up three and the y-intrecept is 3

Please vote brainliest :)

Answer:

The product is 8.6

Step-by-step explanation:

you move two decimal places to your right

Answer:

8t - 7 ≤ 41  ||  t ≤ 6

Step-by-step explanation:

8t - 7 ≤ 41

   +7      +7

---------------

8t ≤ 48

÷8    ÷8

----------------

t ≤ 6

Answer:

a^m-n

Step-by-step explanation:

If we have the expression m^a / m^n, we can use exponent rules to simplify this.

Exponent rules say that x^a / x^b = x^a-b. In this case, x is a, a is m and b is n, so the same rule applied here.

So a^m / a^m  will be equal to a^m-n

Hope this helped!

Answer:

B. 2/25

Step-by-step explanation:

Answer:

Step-by-step explanation:

B. 2/25