Which expressions represent a quadratic expression in factored form?
(x - 3)(x + 2)
(x + 4) - (x + 6)
5(x + 9)
3 x2 + 8x
(x - 1)(x - 1)

Percent is count of number per 100 numbers. The total amount Ms Clark pays including the tip is given by: Option B: $36.60

Suppose the value of which a thing is expressed in percentage is "a'

Suppose the percent that considered thing is of "a" is b%

Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).

Thus, that thing in number is

[tex]\dfrac{a}{100} \times b[/tex]

It is given that:

Total cost that Ms Clark pays = Cost of meal + tip amount

Now, tip amount is 20% of $25.50

It is calculated as:

[tex]Tip = \dfrac{25.50}{100} \times 20 = 5.1\text{\:(In dollars)}[/tex]

Thus, tip amount = $5.1

And thus, Total cost that Ms Clark pays = $25.5 + $5.1 = $30.6

Thus,

The total amount Ms Clark pays including the tip is given by: Option B: $36.60

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Answer:

$7.20 for 12 rolls

Step-by-step explanation:

let x = the price of one roll

5x = $3

x = $3/5

12 • x = total cost

12 • $3/5 = total cost

$36/5 = total cost

$7.20 = total cost

Answer:

The 2nd option

Step-by-step explanation:

As x approaches postive and negative infinity, y approches negavite infinity

Answer:

y= ⅗x +1

Step-by-step explanation:

Given line: y= ⅗x +4

Gradient= ⅗

The gradient of the line can be found from the coefficient of x. This applies only when the equation is in the slope-intercept form (y= mx +c).

In the slope-intercept form, the coefficient of y is 1 and all the other terms and constant is on the right-hand side of the equation while the y term is on the left-hand side.

Parallel lines have the same gradient. Thus the line parallel to y= ⅗x +4 would have the equation of y= ⅗x +c, where c is the y-intercept.

To find the value of c, substitute a pair of coordinates into the equation.

Given that the line passes through (-5, -2), we can substitute this coordinates into y= ⅗x +c.

When x= -5, y= -2,

-2= ⅗(-5) +c

-2= -3 +c

c= -2 +3

c= 1

Thus, the equation of the line is y= ⅗x +1.

Answer:

  PS ≈ 6.08

Step-by-step explanation:

All of the side lengths are given except PS. It can be found using the Law of Cosines, twice.

The first use of the Law of Cosines will be to find the cosine of the angle at X.

  QR² = QX² +RX² -2(QX)(RX)cos(X)

  cos(X) = (QX² +RX² -QR²)/(2·QX·RX) = (8² +10² -4²)/(2·8·10) = 37/40

__

Now, the Law of Cosines can be used to find PS:

  PS² = PX² +SX² -2(PX)(SX)cos(X)

  PS² = 16² +15² -2(16)(15)(37/40) = 37

  PS = √37 ≈ 6.083

The length of PS is about 6.08 units.

_____

As the attachment shows, the problem can also be solved using a geometry app to draw the figure and make the measurement.

Answer:

5.9 oz red tone,

1.7 oz gray tone,

2.9 OZ of brown tone

The ratio of the height of the model to the height of the actual ATT Building is 0.00814

An equation is an expression used to show the relationship between two or more variables and numbers.

12 inches = 1 ft.

Height of model = 60 inches = 60 inches * 1 ft per 12 in = 5 ft.

Height of  ATT Building = 614 ft.

Ratio of the height of the model to the height of the actual ATT Building = 5 ft / 614 ft = 0.00814

The ratio of the height of the model to the height of the actual ATT Building is 0.00814

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Answer:

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

area of a trapezoid :

[tex]A = \frac{a+b}{2} h[/tex]

where a and b = length of bases and h = height

here, we are given the area, the length of one base and the height

we want to find the other base length

we can do this by plugging in what we are given and then solving for the unknown variable

first lets define our known variables

Area (A) = 42 , height (h) = 4 and length of one of the bases (a) = 9

we then plug this into the formula and solve for b, the other base length

recall formula : [tex]A = \frac{a+b}{2} h[/tex]

A = 42 , h = 4 , a = 9

[tex]42 = \frac{9+b}{2} 4[/tex]

now solve for b

divide both sides by 4

[tex]10.5=\frac{9+b}{2}[/tex]

multiply both sides by 2

21 = 9 + b

subtract 9 from both sides

12 = b

the other base length is 12

Answer:

Thank you for these points

Step-by-step explanation:

Answer:

Step-by-step explanation:

Yeah thanks.

Have a great day!

The length of the diagonal AC is equal to the length of the diagonal BD,

which is 8×10 - 32 = 48.

Response:

The given parameters are;

The diagonals of the rectangle are AC and BD

The point of intersection of the rectangle = Point E

AE = 2·x + 4

BD = 8·x - 32

Required:

The length of AC

Solution:

The diagonals of a rectangle bisect each other and have equal length.

Therefore;

AE = [tex]\mathbf{\frac{1}{2}}[/tex] × BD

Which gives;

[tex]2 \cdot x + 4 = \mathbf{\dfrac{1}{2} \times \left(8 \cdot x - 32\right)}[/tex]

2·x + 4 = 4·x - 16

4·x - 2·x = 4 + 16 = 20

2·x = 20

[tex]x = \dfrac{20}{2} = 10[/tex]

x = 10

AC = 2 × AE

Which gives;

AC = 2 × (2·x + 4) = 4·x + 8

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Answer:

(- 7, - 4 ) and (4, 7 )

Step-by-step explanation:

under a clockwise rotation about the origin of 180°

a point (x, y ) → (- y, - x ) , then

(- 7, - 4 ) → (4, 7 )

Answer:

  7

Step-by-step explanation:

The order of operations tells you to start any evaluation by looking at the innermost set of parentheses first.

Here, that means your first step is to find the value of h(-3). You do that by finding the input (x) value -3 in the table for h(x), and locating the corresponding output, h(x), which is 2.

Now, the problem becomes evaluating g(2).

You do the same thing for that function: locate the input x=2 in the table for g(x) and find the corresponding output: 7.

Now, you know ...

  g(h(-3)) = g(2) = 7

Answer:

Answer is below :)

Step-by-step explanation:

Hope this helps you!

Answer:

[tex]2p(7p = 7) \\ 14 {p}^{2} = 14p \\ 14 {p}^{2} - 14p = 0[/tex]

Answer:

f(x)=3x+1 = (-1/3, 0)

g(x)=4x^2-4 = (1, 0), (-1, 0)

Step-by-step explanation:

Hope this helped!

Answer:

Step-by-step explanation:

Given:

Find f(g(x)):

Answer:

14 cupcakes

Step-by-step explanation:

40 percent of 35 is 14

Answer:

14 cupcakes had sprinkles.

Step-by-step explanation:

Write 40% as 40/100. Since finding the fraction of a number is the same as multiplying the fraction with the number, we have 40/100 of 35 = 40/100 × 35.

Answer:

7

Step-by-step explanation:

Answer:

the slope is undefined

Step-by-step explanation:

x=-2 is a horizontal line, if the line you're looking for is perpendicular to a straight line then its a vertical line, making the slope undefined

If you still need help just respond, I'll type it out

Answer:

14

Step-by-step explanation:

with "and" you mean "+" ?

if so, then

3 + 0.75x = 10 + 0.25x

you know that it is perfectly OK to add or subtract the same number to/from both sides of the equation ?

the same for multiplication and division.

the important thing is to do always the same thing to both sides.

1. subtracting 3 from both sides

0.75x = 7 + 0.25x

2. subtracting 0.25x from both sides

0.5x = 7

3. dividing both sides by 0.5

x = 7/0.5 = 7 / 1/2 = 7 × 2/1 = 14

Answer:

The answer would be 342

Step-by-step explanation:

Multiply 19 by 18 and you get 342

Answer:

Square root of 37, about 6.08

Step-by-step explanation:

Pythagorean Theorem: a^2 + b^2 = c^2

18^2 + b^2 = 19^2

324 + b^2 = 361

b^2 = 37

b= sqrt37

b about equal to 6.08

Answer:

Step-by-step explanation:

The BODMAS rule states we should calculate the Brackets first (2 + 4 = 6), then the Orders (52 = 25), then any Division or Multiplication (3 x 6 (the answer to the brackets) = 18), and finally any Addition or Subtraction (18 + 25 = 43). Children can get the wrong answer of 35 by working from left to right.

The value of x according to the described angles is; 8

If two angles A and B are complementary, it follows that A + B = 90 and Cos A = Sin B.

From the statement above, it follows that;

Collect like terms;

Divide both sides by 3;

x = 24/3 = 8.

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Answer:

140 = aangle 1

Answer:

2 stars, 2 question marks, or two blank spaces

Step-by-step explanation:

Answer:

A. Determine 1% of 56, both of them

Step-by-step explanation:

Answer: Also can i have brainliest?

The ball will hit the ground 5 seconds after being thrown.

Step-by-step explanation:

The correct function is: h(t)= -16t^2+64t+80

You can rewrite the Quadratic function given in the exercise with making h(t)=0. Then this is:

0= -16t^2+64t+80

Now you can simplify the equation dividing both sides by -16. So you get:

0= t^2-4t-5

To find the solution of the Quadratic equation, you can factor it. In order to do this, it is necessary to find two numbers whose sum is -4 and whose product is -5. These number would be -5 and 1.

Therefore, you get this result:

0= (t-5) (t+1)

t1=5

t2=-1

Since the time cannot be negative, you can conclude that the ball will hit the ground 5 seconds after being thrown.

For the path of a ball being thrown maximum height is 144 units, time taken to reach maximum height is 2 units and time, it take to hit the ground is 5 units.

Projectile motion is the motion of the body, when it is thrown in the air taking the action of gravity on it.

The path of a ball being thrown off a building can be modeled by the equation

[tex]y= -16t^2+64t+80[/tex]

Comparing this equation, with standard form of quadratic equation, we get,  a=-16, b=64 and c=80.

Thus, the maximum height time can be given as,

[tex]t=-\dfrac{b}{2a}\\t=-\dfrac{64}{2(-16)}\\t=2\rm sec[/tex]

Thus, the time taken to reach maximum height is 2 seconds.

Again by the equation,

[tex]y= -16t^2+64t+80[/tex]
As it reaches maximum height after the 2 seconds. Therefore,

[tex]y_{max}= -16(2)^2+64(2)+80\\y_{max}= 144\rm[/tex]

This can be find out with the following formula,

[tex]t=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}\\t=\dfrac{-64\pm\sqrt{64^2-4(-16)(80)}}{2(-16)}\\t=\dfrac{-64\pm96}{-32}\\[/tex]

Taking negative sign,

[tex]t=\dfrac{-64-96}{-32}=5\\[/tex]

Taking positive sign,

[tex]t=\dfrac{-64+96}{-32}=-1\\[/tex]

Thus the time, it take to hit the ground is 5 units.

80 is the constant coefficient of the equation, which represent the height in the feet.

Hence, for the path of a ball being thrown maximum height is 144 units, time taken to reach maximum height is 2 units and time, it take to hit the ground is 5 units.

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