Find the slope of the graph below
(1.1)
(3,0)
3
Oo
0-1/2
2/1

Answer:

x = 8 7/8

Step-by-step explanation:

x + -21/8=25/4

+ 21/8   +21/8

x = 71/8

x = 8 7/8

Answer:

a)line x=2
b)a=3/2

Step-by-step explanation:

a) line of symmetry= x1 + x2/2=(-2)+6/2=2

b) (0,18)---y=-a(x+2)(x-6)

                18=-a(0+2)(0-6)

                a=18/12

                 a=3/2

A regression can be modeled by linear regression, quadratic regression, quartic regression or exponential regression

The quadratic regression equation that models the data is

[tex]\^y = -0.875\^x^2 -3.596\^x +20.179[/tex]

The table entries are given as:

x: 0,1,2,3,4,5

y: 20,16,10,0,-7,-20

A quadratic regression is represented as:

[tex]\^y = a\^x^2 + b\^x + c[/tex]

Using a graphing calculator to determine the quadratic regression equation, we have the following calculation summary

a = -0.875

b = -3.596

c = 20.179

Hence, the quadratic regression equation is:

[tex]\^y = -0.875\^x^2 -3.596\^x +20.179[/tex]

Read more about regression equations at:

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Answer:

ITS C

Step-by-step explanation:

square: 13² = 169 square units

rectangle: 15 x 8 = 120 square units

Answer: Most of the time, we're going to have to look at the graph of the function to determine its range. Examples. • Example 1 g(x) = 6x − 2. 3x − 4. (4).

5 pages

Step-by-step explanation:

hope this helps

The given graph is  a one-to-one function

A relation is a function if it has only One y-value for each x-value.

A function is said to be one-one if corresponding to each x we get a distinct y-value.

i.e. No two x have the same y-value.

Also it can be seen from the graph when any horizontal line is drawn parallel to the x-axis then the line intersect the curve atmost once.

it passes the horizontal line test.

Many-to-one function is a function is many to one when many x-values are mapped to same y-value.

Clearly from the graph we see that the graph is a one-to-one function.

Hence, the given graph is  a one-to-one function

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Answer:

  x = 4

Step-by-step explanation:

An exterior angle of a triangle is equal to the sum of the remote interior angles.

  18x +5 = (46) +(-1 +8x)

  10x = 40 . . . . . . . . . . . . . subtract (5+8x) from both sides, simplify

  x = 4 . . . . . . divide by 10

__

Additional comment

The exterior angle is (18)(4) +5 = 77°. The marked unknown interior angle is -1+(8)(4) = 31°. The sum of the two remote interior angles is 46°+31° = 77°. The unmarked interior angle is 180°-77° = 103°.

Answer: x=-56/3 (the second answer)

Answer:

The number is 5

Step-by-step explanation:

Let the number be x,

13 - x = 2x - 2

or, 13 + 2 = 2x + x

or, 3x = 15

so, x = 5

Step-by-step explanation:

total base length has to be found.

(√(3.6)^2+(3.25)^2+6.2)*3.25*.5=3.97

[tex]\\ \tt\hookrightarrow Perimeter [/tex]

[tex]\\ \tt\hookrightarrow 15+4+7+10[/tex]

[tex]\\ \tt\hookrightarrow 19+17[/tex]

[tex]\\ \tt\hookrightarrow 36km[/tex]

7. the graphed solution (bold line) shows inequalities x≥-1

this is the same as inequality: x + 1 ≥ 0 (A)

Answer:

x = 62

Step-by-step explanation:

The angle adjacent to 118° is

180° - 118° = 62°

x and 62 are corresponding angles and are congruent , so

x = 62

Answer:

5/4 and then 5/3

Step-by-step explanation:

A- 9B- 87C- -2D -9

Step-by-step explanation:

this will provide you the answer

Answer:

  All apply

Step-by-step explanation:

Complementary angles are ones that total 90°. Here, we have two pairs of congruent angles such that each pair totals 90°. We can mix and match to find pairs of complementary angles.

  less than 45°: BGC and EGF

  more than 45°: AGB and DGE

A complementary pair will consist of one angle from the first list and one angle from the second list. There are 4 possible pairings, and all are shown as answer choices.

All of the choices apply.

Answer:

andrew can drive 20 miles for every 1 gallon of gas

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

slope is rise/run

to get from -1 to 5 is 6 points

y axis to 1 is 1 point

6/1=6

There is only one value for x that makes [tex](x+4)^2=0[/tex]

Given the vertex form of the function expressed as:

[tex]f(x) = -(x+4)^2+5[/tex]

If the function f(x) = 5

[tex]5 = -(x+4)^2+5[/tex]

Subtract 5 from both sides

[tex]5 = -(x+4)^2+5\\-(x+4)^2= 5-5\\-(x+4)^2=0\\[/tex]

Hence there is only one value for x that makes [tex](x+4)^2=0[/tex]

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The correct answer is z can take on the values of both -6 and 6, not -5 and 5.

The equation that has both -5 and 5 as possible values of z is:

[tex]z^2 = 36[/tex]

When we solve this equation, taking the square root of both sides, we get:

z = ±6

Therefore, z can take on the values of both -6 and 6, not -5 and 5.

Hence, none of the given equations have both -5 and 5 as possible values of z.For the equation z^2 = 36, we need to find the values of z that satisfy the equation. Taking the square root of both sides, we get:

z = ±√36

Simplifying the square root of 36, we have:

z = ±6

This means that z can take on the values of both -6 and 6. However, the values -5 and 5 are not solutions to this equation.

Similarly, for the equation z^3 = 125, there are no values of z that satisfy the equation for z equal to -5 or 5.

Therefore, none of the given equations, z^2 = 36 and z^3 = 125, have both -5 and 5 as possible values of z.

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[tex]2x + 5 = 19 \\ 2 \times 7 + 5 = 19 \\ 14 + 5 = 19 \\ 19 = 19 [/tex]

So, The first equation has the solution x = 7

Step-by-step explanation:

We know that divisor = (dividend)(quotient)+remainder.

So we can do (x^2 - x +8)(x+4)-5, which you can just expand out.

44 practice, 113 machine, and 93 game balls

===========================================================

Explanation:

He bought 20 fewer game balls than pitching machine baseballs, which means,

z = y-20

Since the coach bought 250 baseballs total we can also write

x+y+z = 250

Let's replace z with y-20 and simplify

x+y+z = 250

x+y+y-20 = 250

x+2y = 250+20

x+2y = 270

Now let's calculate the subtotal costs for each type of baseball

Those subtotals add to this

1.75x+2.80y+6.25z = total cost = $974.65

1.75x+2.80y+6.25z = 974.65

Like before, I'll replace z with y-20

1.75x+2.80y+6.25(y-20) = 974.65

1.75x+2.80y+6.25y-125 = 974.65

1.75x+9.05y = 974.65+125

1.75x+9.05y = 1099.65

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

So far we have this system of equations

[tex]\begin{cases}x+2y = 270\\1.75x+9.05y = 1099.65\end{cases}[/tex]

I'll use substitution to solve the system.

Isolate x in equation (1)

x+2y = 270

x = 270-2y

Then plug this into equation (2) and solve for y.

1.75x+9.05y = 1099.65

1.75(270-2y)+9.05y = 1099.65

472.5-3.5y+9.05y = 1099.65

472.5+5.55y = 1099.65

5.55y = 1099.65-472.5

5.55y = 627.15

y = 627.15/5.55

y = 113

There are 113 pitching machine baseballs.

Use this y value to find x

x = 270-2y

x = 270-2(113)

x = 270-226

x = 44

There are 44 practice baseballs.

Also, we can say,

z = y-20

z = 113-20

z = 93

There are 93 game balls.

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

Check:

x+y+z = 44+113+93 = 250 baseballs total

A+B+C = 77+316.40+581.25 = 974.65 = total cost

Everything checks out. Also note that value of z is 20 fewer than the value of y.

Answer:

  (b)  x^15/y^5

Step-by-step explanation:

The exponent outside parentheses multiplies all of the exponents inside parentheses.

  (x^3/y)^5 = x^(3·5)/y^(1·5) = x^15/y^5

______

Additional comment

When it comes to exponents, I find it useful to remember that an exponent signifies repeated multiplication: x·x·x = x³. The exponent outside parentheses has the same meaning:

  (x³)² = (x·x·x)·(x·x·x) = x⁶

The rule is summarized by ...

  (a^b)^c = a^(bc)

Answer: 1716/25 or 16 68/25

Step-by-step explanation:

Formula: 1/2 x height x (a+b)

Seafloor spreading can be defined as a process that involves the formation of new oceanic crust as a result of volcanic activities and an upwelling of molten magma at mid-ocean ridges, as well as a slowly increasing distance (outward movement) from the ridge.

The theory of seafloor spreading was established by Harry Hammond Hess and it can be used to explain in details the slowly increasing distance between South America and Africa which grows from the center.

A hot spot refers to an area deep within Earth's mantle or under the rocky outermost layer of Earth, from which heat rises through convection and acquired as heat energy by a landform.

In the United States of America, you will see a layered sedimentary rock that is exposed by erosion when you view the Grand Canyon.

Furthermore, Australia is made up of relatively old and thick continental crust. Also, subduction causes the formation of extremely deep ocean Marianas Trench.

Read more on seafloor spreading here: brainly.com/question/12037536

Answer:

[tex]\frac{3}{7}[/tex]

Step-by-step explanation:

Start by finding how many integers there are from 10-30...

30-10+1=20+1=21

Note we have to add 1 since it is inclusive.

Now, let's find how many multiples of 4 or 5 there are from 10-30...

4*3=12

4*4=16

4*5=20

4*6=24

4*7=28

5*2=10

5*3=15

5*4=20

5*5=25

5*6=30

5+5-1=9

Note we have to subtract 1 since 20 is counted twice.

The probability would be...

[tex]\frac{Multiples\ of\ four\ and\ five\ from\ 10-30}{Amount\ of\ integers\ between\ 10-30}=\frac{9}{21}=\frac{3}{7}[/tex]