Given a quadratic function, y = ax + bx+c, what happens to the graph when "a" is positive?
a. the parabola opens down, the vertex is the C. the parabola opens up, the vertex is the
maximum value
maximum value
b. the parabola opens down, the vertex is the d. the parabola opens up, the vertex is the
minimum value
minimum value

Answer:

27.C

29.B

Step-by-step explanation:

Answer: Length = (15x + 20) / 5

Step-by-step explanation:

The area of a rectangle is calculated as length × width. Since the area of the rectangle is expressed as (15x + 20) square feet while the width of the rectangle is 5 feet, then the expression to represent the length of the rectangle will be:

Area = length × width

(15x + 20) = length × 5

Length = (15x + 20) / 5

Therefore, the expression is Length = (15x + 20) / 5.

Solving further, the length will be:

= (15x + 20) / 5

= 3x + 4

Answer:

Sent you this for a reference so please do the needful to me ASAP as I am now working on the same and I will be sending the same

Answer:

z = [tex]\frac{11}{2}[/tex]

Step-by-step explanation:

Using the rule of exponents

[tex](a^m)^{n}[/tex] = [tex]a^{mn}[/tex] , then

[tex]25^{z-4}[/tex] = 125 [ 25 = 5² and 125 = 5³ ]

[tex](5^2)^{z-4}[/tex] = 5³

[tex]5^{2z-8}[/tex] = 5³

Since the bases on both sides are equal, both 5, then equate the exponents

2z - 8 = 3 ( add 8 to both sides )

2z = 11 ( divide both sides by 2 )

z = [tex]\frac{11}{2}[/tex] ( = 5.5 )

Answer:

The dependent variable is h and the independent variable is t

Step-by-step explanation:

Given

[tex]h(t) = 4t + 5[/tex]

Required

The dependent and the independent variable

The [tex]dependent[/tex] [tex]variable[/tex]is the [tex]variable[/tex] whose value [tex]depends[/tex] on another.

In the above equation, the height (h) depends on time (t) for its value

Hence,

The [tex]depe ndent[/tex] [tex]variable[/tex] is h and the [tex]indep endent[/tex] [tex]variable[/tex] is t

Answer:

b

Step-by-step explanation:

The scuba diver is 30 feet below, and ascend means up, so you subtract 13.5, and descend means down so you add 15. That’s how you get the answer.

Answer:

14

Step-by-step explanation:

To find the other number , divide -112 by -8 and you will get 14.

Answer:

1. 6084

2. 9261

3. -1

4. 995/364

5. -1/625

Step-by-step explanation:

Answer:

"D"

the start point is below zero and is doing deeper

Step-by-step explanation:

Answer:

Option 2: 67.014

Step-by-step explanation:

Answer:

<ABC = 68degrees

Step-by-step explanation:

From the diagram, the measure of the given angles are supplementary;

9x+5 + 16x = 180

25x = 180 - 5

25x = 175

x = 175/25

x = 7

<ABC = 9x +5

<ABC = 9(7)+5

<ABC = 63 + 5

<ABC = 68degrees

Answer:

5 meters

Step-by-step explanation:

We can obtain the entire area, both shaded and non-shaded by finding the area of the rectangle ;

Area of rectangle = Length * width

Length = 12 ; width = 2

Area of rectangle = 12 * 2 = 24 m²

Area of semicircle = πr² / 2

The radius, r of each semicircle = 2

Area of each semicircle = π * 2² / 2 = 6.283 m²

Area of the 3 semicircles = 3 * 6.283 = 18.849 m²

Area of dry region:

(24 - 18.849) m²

= 5.151 m²

= 5 m

Answer:

6x +18

Step-by-step explanation:

6(x + 3)

Distribute

6*x + 6*3

6x +18

Answer:

6x + 18

Step-by-step explanation:

Given

6(x + 3) ← multiply each term in the parenthesis by 6

= 6x + 18

Answer:

Start at the positive

x

-axis, then rotate left by the desired angle.

Explanation:

Standard position means the first arm of the angle is the positive

x

-axis, and the other arm is placed by rotating counter-clockwise from there, by the amount of the angle.

As a basic example, the symbol

∠

is about a 45° angle in standard position.

To get a feel for where the second arm (called the "terminal arm") will go, remind yourself that the axes themselves meet each other at 90°.

If our angle was 90°, the terminal arm would be on the positive

y

-axis.

If our angle was 180°, it would be on the negative

x

-axis.

Wait! 180° is more than 150°, so our angle is somewhere in quadrant 2. In fact, 150° is 2/3 of the way between 90° and 180°, so our terminal arm will be 2/3 of the way into quadrant 2.

graph{(y+tan(pi/6)x)(y^2-.00001x)=0 [-10, 10, -5, 5]}

(ignore the part of the line in quadrant 4)

Step-by-step explanation:

Answer:

So, in 4 hours , 3 operators makes 6 articles.

Step-by-step explanation:

In 5 hours 4 operators make 10 articles, how many articles will 3 operators make in 4 hours?

In 1 hour 4 operator makes 10/5 = 2 articles

In 1 hour , 1 operator makes = 2/4 = 0.5 article

So,

In 1 hour , 3 operators makes = 3 x 0.5 = 1.5 articles

In 4 hours, 3 operation makes = 1.5 x 4 = 6 articles

Answer:

5890 (none of the above)

Step-by-step explanation:

Answer:

1472.6 in³

Step-by-step explanation:

The volume (V) of the oblique cone is calculated as

V = [tex]\frac{1}{3}[/tex] πr²h ( r is the radius and h the perpendicular height )

Here r = 15 ÷ 2 = 7.5 and h = 25 , then

V = [tex]\frac{1}{3}[/tex] × π × 7.5² × 25

   = [tex]\frac{1}{3}[/tex] × π × 56.25 × 25

   = [tex]\frac{1}{3}[/tex] × π × 1406.25

   = [tex]\frac{1406.25\pi }{3}[/tex] ≈ 1472.6 in³ ( to the nearest tenth )

Answer: (0,-5), (5, 0), (10, 5) and (15,10).

Step-by-step explanation:

Given equation: [tex]y = x + 5[/tex]

To find its inverse we will find the value of x .

Subtract 5 from both sides

[tex]x=y-5[/tex]

Switch y to x, we get

y= x-5, which is the inverse function.

At x=0,

y=-5

At x= 5,

y=0

At x= 10 ,

y=5

At x= 15,

y= 10

Hence, the four points contained in the inverse: (0,-5), (5, 0), (10, 5) and (15,10).

Plotting the graph after finding the inverse function the four points contained in the inverse fucntion are:  (0, -5), (5, 0), (5.1, 0.1), and (5.2, 0.2).

The given equation is,

y = x+5

To find its inverse fucntion,

Replace x with y we get.

x = y + 5

Rearranging it,

y = x - 5

So this is the inverse fucntion.

Since this is of the form of line y = mx + c

Therefore,

To find the points containing contained by inverse fucntion,

Graphing: y = x - 5

After graphing we can see that,

The four points (0, -5), (5, 0), (5.1, 0.1), and (5.2, 0.2) are lies on the line.

Hence the required four points are:

(0, -5), (5, 0), (5.1, 0.1), and (5.2, 0.2)

#SPJ6

Answer:

21/5 when simplified

Answer:

4  1/5

Step-by-step explanation:   6  20  5  58

7/9 × 27/5  =  (7×27) / (9 × 5)

                 =   189 / 45           divide numerator and denominator by 3

                 =    63 / 15            simplify

                 =     4 3/15

                 =     4  1/5

Answer:

16

Step-by-step explanation:

Jen's class: 10 girls, 15 boys

ratio of girls to boys = 10:15 = 2:3 = 2x:3x

Ed's class

number of boys = 24

ratio of girls to boys = 2x:3x

3x = 24

x = 8

2x = 2(8) = 16

Answer: 16

Answer:

16

Step-by-step explanation:

Answer:

dimes --- x

quarters ---- 28-x

10x + 25(28-x) = 430

Step-by-step explanation:

not sure po

Answer:

8

Hope this answer is right!!

Explanation:

Given, a×b=a^b=2 ×3

=2^3

=8

So, the value of 2 ×3 =8.

Answer:

786.6

Step-by-step explanation:

Anything to the ^0 is 1 so its 1 x 6.6 + 100 x 7.8

6.6 + 780

786.6

Answer:

786.6

Step-by-step explanation:

Problem:

(6.6 × 10⁰) + (7.8 × 10²)​

Step 1 - Parenthesis:

(6.6 × 10⁰) + (7.8 × 10²)​

Step 2 - Exponents(Left to Right):

(6.6 × 10^0) + (7.8 × 10^2)​ = (6.6 × 1) + (7.8 × 100)

Step 3 - Multiply(Left to Right):

(6.6 × 1) + (7.8 × 100) = 6.6 + 780

Step 4 - Add(Left to Right)

6.6 + 780 = 786.6

Step 5 - Answer:

786.6

Parenthesis

Exponents(Left to Right)

Multiplication(Left to Right)

Division(Left to Right)

Addition(Left to Right)

Subtraction(Left to Right)

Answer:

82 kg

Step-by-step explanation:

To find the mean of a set of values, we must add them up and divide by the number of values.

Step 1, adding the values:

[tex]75+68+78+82+85+90+88+92+76=\\734[/tex]

Step 2, dividing by the # of terms:

There are 9 terms in total.

[tex]\frac{734}{9} =\\81.556[/tex]

To the nearest kilogram, we can round 81.556 into 82.

The mean mass of the 9 men was [tex]\fbox{82}[/tex] kg.

I hope this helps! Let me know if you have any questions :)

Answer:

$175

Step-by-step explanation:

you need to specify if harriet got the 7 portion or the 5 portion. I'll answer as if she got the 7 portion.

They split it into 12 portions because the ratio is 7:5 and 7+5=12. So do $300/12=25

Assuming Maya got the 5 portion, do $25 x 5 = $125, so Maya got $125.

Assuming Harriet got the 7 portion, do $25 x 7 = $175, so Harriet got $175.

Answer:

option C , D , E

Step-by-step explanation:

[tex]\sqrt{\frac{1}{16}} = \frac{1}{4} => not \ irrational\\\\\sqrt{\frac{1}{4}} = \frac{1}{2} => not \ irrational\\\\\sqrt{\frac{1}{2}} = > \ irrational\\\\\sqrt{\frac{1}{10}} =>\ irrational\\\\\sqrt{\frac{1}{8}} =>\ irrational\\\\[/tex]

Answer:

1/2, 1/10, 1/8

[tex]\sf \bf {\boxed {\mathbb {x\:=\:0.1333}}}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

[tex](3x + 1)(x - 4) - (x + 2)(x - 3) = (2x + 5)x\\[/tex]

[tex] ➺\: 3x \: (x - 4) + 1 \: (x - 4) - x \: (x - 3) - 2 \: (x - 3) = (2x + 5) \: x\\[/tex]

[tex] ➺\: 3 {x}^{2} - 12x + x - 4 - {x}^{2} + 3x - 2x + 6 = 2 {x}^{2} + 5x\\[/tex]

[tex] ➺\: 2{x}^{2} - 2 {x}^{2} - 10x - 5x + 2= 0\\[/tex]

[tex] ➺\: - 15x = - 2\\[/tex]

[tex]➺ \: x = \frac{ - 2}{ - 15} \\[/tex]

[tex]➺ \: x = \frac{2}{15}\\ [/tex]

[tex] ➺\: x = 0.1333[/tex]

[tex]\huge\bf\purple{*Mystique 35♡༉}[/tex]

Given:

θ is an angle in standard position and its terminal side passes through the point (-4,-9).

To find:

The exact value of tanθ in simplest radical form.

Solution:

If θ is an angle in standard position and its terminal side passes through the point (x,y), then the exact value of tanθ is:

[tex]\tan \theta=\dfrac{y}{x}[/tex]

It is given that, θ is an angle in standard position and its terminal side passes through the point (-4,-9). So, t he exact value of tanθ is:

[tex]\tan \theta=\dfrac{-9}{-4}[/tex]

[tex]\tan \theta=\dfrac{9}{4}[/tex]

Therefore, the required value is [tex]\tan \theta=\dfrac{9}{4}[/tex].

Answer:

235cm longer

Step-by-step explanation:

convert 6m into centimeters which gets you 600cm so you do this:

600 - 435= 235cm

therefore the garage is 235cm longer than the car.

Answer:

600-435 = 165 cm the garage 165 cm is longer than the car