select the correct answer
which of these mappings is a function

Answer: An equation with an integer coefficient will NOT always have an integer solution.

Explanation: 3x=25⟹x=253 , therefore it is false.

Answer:

33

Step-by-step explanation:

x+3=0

x=-3

4(-3)²-3=(4×9)-3

36-3=33

Answer:

Use the given functions to set up and simplify  

( 3x   +  10 )  ( 6 x  −  10 )   =     18 x^ 2  +  30 x  −  100

Step-by-step explanation:

The Graph of a Quadratic Function

A quadratic function is a polynomial function of degree 2 which can be written in the general form,

f(x)=ax2+bx+c

Here a, b and c represent real numbers where a≠0. The squaring function f(x)=x2 is a quadratic function whose graph follows.

This general curved shape is called a parabola and is shared by the graphs of all quadratic functions. Note that the graph is indeed a function as it passes the vertical line test. Furthermore, the domain of this function consists of the set of all real numbers (−∞,∞) and the range consists of the set of nonnegative numbers [0,∞).

When graphing parabolas, we want to include certain special points in the graph. The y-intercept is the point where the graph intersects the y-axis. The x-intercepts are the points where the graph intersects the x-axis. The vertex is the point that defines the minimum or maximum of the graph. Lastly, the line of symmetry (also called the axis of symmetry) is the vertical line through the vertex, about which the parabola is symmetric.

For any parabola, we will find the vertex and y-intercept. In addition, if the x-intercepts exist, then we will want to determine those as well. Guessing at the x-values of these special points is not practical; therefore, we will develop techniques that will facilitate finding them. Many of these techniques will be used extensively as we progress in our study of algebra.

Given a quadratic function f(x)=ax2+bx+c, find the y-intercept by evaluating the function where x=0. In general, f(0)=a(0)2+b(0)+c=c, and we have

y-intercept       (0,c)

Next, recall that the x-intercepts, if they exist, can be found by setting f(x)=0. Doing this, we have a2+bx+c=0, which has general solutions given by the quadratic formula, x=

−b±

√

b2−4ac

2a

. Therefore, the x-intercepts have this general form:

x-intercepts (

−b−

√

b2−4ac

2a

,0)    and    (

−b+

√

b2−4ac

2a

,0) 

Using the fact that a parabola is symmetric, we can determine the vertical line of symmetry using the x-intercepts. To do this, we find the x-value midway between the x-intercepts by taking an average as follows:

x = (

−b−

√

b2−4ac

2a

+

−b+

√

b2−4ac

2a

) ÷2 = (

−b−

√

b2−4ac

−b+

√

b2−4ac

2a

)÷(

2

1

) =

−2b

2a

⋅

1

2

= −

b

2a

Therefore, the line of symmetry is the vertical line x=−

b

2a

. We can use the line of symmetry to find the the vertex.

Line of symmetry Vertex x=−

b

2a

(−

b

2a

,f(−

b

2a

))

Generally three points determine a parabola. However, in this section we will find five points so that we can get a better approximation of the general shape. The steps for graphing a parabola are outlined in the following example.

Example 1

Graph: f(x)=−x2−2x+3.

Solution:

Step 1: Determine the y-intercept. To do this, set x=0 and find f(0).

f(x) = −x2−2x+3 f(0) = −(0)2−2(0)+3 = 3

The y-intercept is (0,3).

Step 2: Determine the x-intercepts if any. To do this, set f(x)=0 and solve for x.

f(x) = −x2−2x+3 Set f(x)=0. 0 = −x2−2x+3 Multiply both sides by −1. 0 = x2+2x−3 Factor. 0 = (x+3)(x−1) Set each factor equal to zero. x+3 = 0 or x−1 = 0 x = −3 x = 1

Here where f(x)=0, we obtain two solutions. Hence, there are two x-intercepts, (−3,0) and (1,0).

Step 3: Determine the vertex. One way to do this is to first use x=−

b

2a

to find the x-value of the vertex and then substitute this value in the function to find the corresponding y-value. In this example, a=−1 and b=−2.

x =

−b

2a

=

−(−2)

2(−1)

=

2

−2

= −1

Substitute −1 into the original function to find the corresponding y-value.

f(x) = −x2−2x+3 f(−1) = −(−1)2−2(−1)+3 = −1+2+3 = 4

The vertex is (−1,4).

Step 4: Determine extra points so that we have at least five points to plot. Ensure a good sampling on either side of the line of symmetry. In this example, one other point will suffice. Choose x=−2 and find the corresponding y-value.

x   y Point −2   3 f(−2)=−(−2)2−2(−2)+3=−4+4+3=3 (−2,3)

Our fifth point is (−2,3).

Step 5: Plot the points and sketch the graph. To recap, the points that we have found are

y-intercept: (0,3) x-intercepts: (−3,0) and (1,0) Vertex: (−1,4) Extra point: (−2,3)

Answer:

The parabola opens downward. In general, use the leading coefficient to determine if the parabola opens upward or downward. If the leading coefficient is negative, as in the previous example, then the parabola opens downward. If the leading coefficient is positive, then the parabola opens upward.

All quadratic functions of the form f(x)=ax2+bx+c have parabolic graphs with y-intercept (0,c). However, not all parabolas have x-intercepts.

[tex] \frac{4c}{h} - k[/tex]

Step-by-step explanation:

well that is the answer

Answer:

s = (4C/h) - k

Step-by-step explanation:

C = ((s + k)/4)h

multiply by 4/h

4C/h = s + k

subtract k

s = (4C/h) - k

Answer:

x + 2z

Step-by-step explanation:

[tex]\frac{15xy+30yz}{15y}[/tex] ← divide each term on the numerator by 15y

= [tex]\frac{15xy}{15y}[/tex] + [tex]\frac{30yz}{15y}[/tex]

= x + 2z

Answer:

B. [tex] 2 \frac{1}{2} [/tex]

Step-by-step explanation:

[tex]3 \frac{1}{8} \times \frac{4}{5} [/tex]

[tex] \frac{25}{8} \times \frac{4}{5} [/tex]

[tex] = \frac{5}{2} = 2 \frac{1}{2} [/tex]

Answer:

BC = 7

Step-by-step explanation:

AB + BC = AC

Substitute values for the line segments:

6 + BC = 13

Isolate line segment BC by subtracting both sides by 6:

6 - 6 + BC = 13 - 6

0 + BC = 13 - 6

BC = 7

Check your work:

6 + 7 = 13

13 = 13

Correct!

[tex]\\ \sf\Rrightarrow y-1=\dfrac{2}{3}(x+1)[/tex]

[tex]\\ \sf\Rrightarrow -3-1=\dfrac{2}{3}(a+1)[/tex]

[tex]\\ \sf\Rrightarrow -4=\dfrac{-2(a+1)}{3}[/tex]

[tex]\\ \sf\Rrightarrow -2(a+1)=-4(3)[/tex]

[tex]\\ \sf\Rrightarrow -2(a+1)=-12[/tex]

[tex]\\ \sf\Rrightarrow a+1=\dfrac{-12}{-2}[/tex]

[tex]\\ \sf\Rrightarrow a+1=6[/tex]

[tex]\\ \sf\Rrightarrow a=6-1[/tex]

[tex]\\ \sf\Rrightarrow a=5[/tex]

Answer:

|-x|

Step-by-step explanation:

A reflection across the y-axis means the negative is on the inside: g(-x)

Answer:

the answer is c

Step-by-step explanation:

because it takes a non-negative number as input and returns the square root of that number as output.

Answer:

Step-by-step explanation:

Add 67% of 85 to 33% of 76:

67% of 85

[tex]\\ \sf\longmapsto \dfrac{67}{100}\times 85[/tex]

[tex]\\ \sf\longmapsto 85(0.67)[/tex]

[tex]\\ \sf\longmapsto 56.95[/tex]

33% of 76

[tex]\\ \sf\longmapsto \dfrac{33}{100}\times 76[/tex]

[tex]\\ \sf\longmapsto 76(0.33)[/tex]

[tex]\\ \sf\longmapsto 25.08[/tex]

Add both

[tex]\\ \sf\longmapsto 56.95+25.08[/tex]

[tex]\\ \sf\longmapsto 82.03[/tex]

Answer:

I have ans in the picture form.

Step-by-step explanation:

Take it

The formula for volume is

V = Lenght x Width X Height

In your diagram, we have all 3 of these.

Length = 25 cm

Width = 12 cm

Height = 14 cm

To make it easier let's just convert all these to meters.

Length = 0.25 m

Width = 0.12 m

Height = 0.14 m

V = (0.25)(0.12)(0.14)

V = 0.0042 cubic meters

Answer:

x=i or no solution exists depending on the user's grade

Step-by-step explanation:

f(x) = 2x^2-5

-7 = 2x^2-5

-2 = 2x^2, x^2=-1, x=i

Answer:

±i = x

Step-by-step explanation:

f(x)=2x^2-5;

f(x)=-7​

-7 = 2x^2 -5

Add 5 to each side

-7+5 = 2x^2 -5+5

-2 =2x^2

Divide by 2

-2/2 =2x^2 /2

-1 = x^2

Take the square root of each side

sqrt(-1) = sqrt(x^2)

±i = x

B

Step-by-step explanation:

AM on total = 1/2

so (x+19)/(x+29)=1/2

2x +38 =x + 29

x=-9

Answer:

Step-by-step explanation:

b = h+3

Perimeter = 2b+ 2h

= 2(h+3) +2h

= 4h+ 6

4h+6 = 26

h = 5 cm

b = h+3 = 8 cm

Step-by-step explanation:

We are dealing with theoretical probability. This means that our probability of said outcome is

[tex] \frac{x}{y} [/tex]

where x is the outcome we want, and y is the total number of outcomes possible.

28. There is 3 triangles out of 6 polygons so the probability is 1/2.

29.There is 1 Pentagon so the probability is 1/6.

30. This is a complement to question 28. A complement is the inverse of the problem. A complement and its original add to 1 so the probability of both getting a triangle is 1/2.

31. There is 4 non quadraletrial so the probability is 2/3.

32. There is 3 figures that has more sides than three so 1/2 is the probability.

33.There is only multi right angles figures so 1/2 is the probability.

34. There is 30 days in April so the probability it's the 29th is

[tex] \frac{1}{30} [/tex]

35. There is 31 days in July and 15 days after the 16th. So the probability

is

[tex] \frac{15}{31} [/tex]

Answer:

1

Step-by-step explanation:

4(4-w) = 3(2w+2)

Use distributive property:

16 - 4w = 6w + 6

    +4w  +4w

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

     16 = 10w + 6

    -6              -6

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

        10 = 10w

        ----    -----

        10      10

         1 = w

Hope this helped.

Hence, the required answer is 1

Answer:

The time is 2:43

Step-by-step explanation:

I did it in my head....

Answer:

18

Step-by-step explanation:

2h - 32 - 16 = -12

2h - 48= -12

2h =-12+48

h=36\2

h = 18

Answer:

h = 18

Step-by-step explanation:

Given

2(h - 16) - 16 = - 12 ← distribute and simplify left side

2h - 32 - 16 = - 12

2h - 48 = - 12 ( add 48 to both sides )

2h = 36 ( divide both sides by 2 )

h = 18

Answer:

8.8 grams

...................

The required 88 Decigrams equals 8.8 grams.

Given that,
To determine 88 Decigrams equals 8.8.

All over the world, most things are in use as of common quantity, so people all over the world agree that they have to follow a common system of measurement and that the common system of measurement is called standard measurement.

Fraction is defined as the number of compositions that constitutes the Whole.

here,
10 decigram = 1 gram
88 decigram = 8.8 gram

Thus, the required 88 Decigrams equals 8.8 grams.

Learn more about measurements here:

https://brainly.com/question/4725561

#SPJ2

Answer:

360is  the answer

Step-by-step explanation:

Answer:

a positive number

Step-by-step explanation:

-(-) = +

for example, -1 * -1 = 1

Answer:

d) 2.0 * 10⁸

Step-by-step explanation:

199,792,458  ≈ 200,000,000 = 2.0* 10⁸

Answer:

see image

Step-by-step explanation: