y = x2 + 11x + 24 is equivalent to the graph of which equation? y = (x + 8)(x + 3) y = (x + 4)(x + 6) y = (x + 9)(x + 2) y = (x + 7)(x + 4)

{y|1 > y}, (-∞, 1); you did not specifically mention what notation you needed, so I wrote both [Internal Notation and Set Notation].

Answer:

all real numbers less than or equal to 0

Step-by-step explanation:

EDGE 2020

8-6z=26

8-8-6z=26-8

-6z=18

divide by -6 for -6z and 18

-6z/-6=18/-6

z=-3

Check answer by using substitution method

8-6(-3)=26

8+18= 26

26=26

Answer is z=-3

Answer:

answer - 3

Step-by-step explanation:

8 - 6z = 26                    Subtract 8 from both sides.

8-8 - 6z = 26 - 8

- 6z = 18                         Divide by - 6

-6z/-6 = 18/-6                 Do the division. Note: you must leave the letter with 1 in front of it.

z = - 3

a. The speed is represented by 7 miles an hour

b. f(t)=7t

c. 28 miles

Answer:

 π units^2.

Step-by-step explanation:

The area = π r^2   where  r = the radius and the radius = 1/2 * the diameter.

So the radius of this circle = 1/2 * 2 = 1.

The required area =  π * 1^2

= π units^2.

ANSWER

Exact form: π units square.

Or 3.14 square units.

EXPLANATION

The area of a circle is calculated using the formula:

[tex]Area = \pi \times {r}^{2} [/tex]

From the diagram, the diameter of the circle is d=2 units.

The radius is half of the diameter which is 1 unit.

We substitute r =1 into the formula to obtain;

[tex]Area = \pi \times {1}^{2} [/tex]

[tex]Area = \pi \: [/tex]

In decimal form, the area is

[tex]Area =3.14 \: square \: units[/tex]

Heathe lives halfway up: 42 / 2 = 21st floor.

Raveen = 42 x 4/7 = 168/7 = 24th floor.

Alveera = 42 x 3/14 = 126/14 = 9th floor.

Rafi = 42 x 4/6 = 168/6 = 28th floor.

Suha = 28-24 = 4 /2 = 2 = 24+2 = 26th floor.

Arabi = 42 x 2/3 = 84/3 = 28th floor

Answer:

A. 24

Step-by-step explanation:

! = 2 multiplied by the maximum

So, 4! = 2 × 3 × 4 [24]

This is what is known as Factorials.

I am joyous to assist you anytime.

Answer:

[tex]\Huge\boxed{24}[/tex]

Step-by-step explanation:

Apply by the factorial rule.

[tex]\displaystyle 4!=1*2*3*4[/tex]

Then multiply to find the answer.

[tex]\displaystyle 1*2*3*4=4*3=12*2=24*1=24[/tex]

24, which is our answer.

Regroup terms

(3 + 16V)(6 - 64)

Simplify 6 - 64 to -58

(3 + 16V) * -58

Simplify

= -58(3 + 16V)

Answer:

[tex]\large\boxed{\dfrac{5\pm3\sqrt7}{4}}[/tex]

Step-by-step explanation:

[tex]m^2-\dfrac{5}{2}m=-\dfrac{11}{2}\qquad\text{add}\ \dfrac{11}{2}\ \text{to both sides}\\\\m^2-\dfrac{5}{2}m+\dfrac{11}{2}=0\qquad\text{multiply both sides by 2}\\\\2m^2-5m+11=0[/tex]

[tex]\text{Use the quadratic formula:}[/tex]

[tex]ax^2+bx+c=0\\\\x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

[tex]\text{We have}[/tex]

[tex]a=2,\ b=-5,\ c=11[/tex]

[tex]\text{substitute:}[/tex]

[tex]\sqrt{b^2-4ac}=\sqrt{(-5)^2-4(2)(11)}=\sqrt{25-88}=\sqrt{63}=\sqrt{9\cdot7}=\sqrt9\cdot\sqrt7=3\sqrt7\\\\m=\dfrac{-(-5)\pm3\sqrt7}{2(2)}=\dfrac{5\pm3\sqrt7}{4}[/tex]

just substitute 10 into the equation

10=2x-6

add 6 to both sides

16=2x

divide both sides by 2

x=8

Answer:

Option 2: 14.06 minutes

Step-by-step explanation:

For the first scenario, we will convert the minutes into hours first to get all the quantities in same unit

So,

15 minutes = 1/4 hours = 0.25 hours

Speed = 7.5 miles per hour

Now using the speed, distance and time formula

Speed = distance/time

[tex]Speed = \frac{distance}{time}[/tex]

[tex]7.5 = \frac{distance}{0.25}[/tex]

[tex]7.5 * 0.25 = Distance[/tex]

Distance = 1.875 miles

So the distance for 1st day is 1.875 miles.

For next day

Speed = 8 miles per hour

Distance = 1.875

So,

[tex]speed = \frac{distance}{time}[/tex]

[tex]8 = \frac{1.875}{time}[/tex]

[tex]time = \frac{1.875}{8}[/tex]

[tex]time = 0.234375 hours[/tex]

Converting the hours into minutes will give

0.234375 * 60 min =  14.0625 minutes

Rounding off to two decimals = 14.06 min

So 2nd option is correct..

½ = v; multiply the divisor to remove the variable from the denominator.

For this case we solve the following equation:

[tex]3 (x + 10) + 6 = 3 (x + 12)[/tex]

We apply distributive property to the terms within parentheses:

[tex]3x + 30 + 6 = 3x + 36[/tex]

We add similar terms:

[tex]3x + 36 = 3x + 36\\36 = 36[/tex]

Since 36 equals 36, then the equation will always be true for any value of x.

ANswer:

Infinite solutions

For this case we have a factored expression, of a second degree equation:

([tex](x-3) (x + 8) = 0[/tex]

To find the solutions:

we add 3 to both sides of the equation:

[tex]x=3[/tex]

We subtract 8 on both sides of the equation:

[tex]x = -8[/tex]

Thus, the solutions of the equation are:

[tex]x_ {1} = 3\\x_ {2} = - 8[/tex]

Answer:

[tex]x_ {1} = 3\\x_ {2} = - 8[/tex]

Answer:

[tex]\boxed{\bold{21h+13}}[/tex]

Explanation:

Group Like Terms

= [tex]\bold{13h-4h+12h+10-6+9}[/tex]

Combine Similar Elements: [tex]\bold{13h-4h+12h=21h}[/tex]

= [tex]\bold{21h+10-6+9}[/tex]

Subtract: [tex]\bold{10-6+9=13}[/tex]

= [tex]\bold{21h+13}[/tex]

Mordancy.

Answer:

Step-by-step explanation:

ac + cb = ab

Answer:

right-most fourth graph

Step-by-step explanation:

Given:

f(x)= -x+4    for 0≤x<3

i.e. from x=0 till x=3 the graph is linear line

then

f(x) = 5        for x≥3

i.e. at x=3 and onward graph is a straight line with y-axis point of 5 !

Answer:

Step-by-step explanation:

The given piecewise function is

[tex]f(x)=\left \{ {{-x+4 \ ; \ 0\leq x<3} \atop {5 \ ; \ x\geq3 }} \right.[/tex]

Notice that the domain of the function specifies that, from zero to three, the function represents a decreasing (because the variable is negative) straight line. When the function is defined from 3 to infinite, the function is a constant of 5.

So, the right graph must shows first a decreasing line, where the initial point is solid and the final point is empty, as the fourth fraph (from left to right), then it must show a horizontal line with an initial point solid.

Therefore, the fourth graph, from left to right, is the correct answer.

Answer:

x = -2; x = -3

Step-by-step explanation:

(-x - 3)(x + 2) = 0

(-x - 3) = 0

x = -3

(x + 2) = 0

x = -2

Answer:

Step-by-step explanation:

It is a right angle triangle with height and base = 3. The 4.24, for area, is not relevant.

Area = h * b / 2

Area = 3 * 3/2

Area = 9/2

Area = 4.5

Answer:

4.5 units

Step-by-step explanation:

A=1/2(b×h)

b=base

h=height

plug in what we know ...

A=1/2 (3×3)

A=1/2 (9)

A=4.5

Answer:

Final answer is -63.

Step-by-step explanation:

Given expression is [tex]-|-9| \times |7|[/tex].

Now question says to simplify that expression [tex]-|-9| \times |7|[/tex]

| | indicates absolute function which results only in positive output so |-9| gives 9 only

and |7| gives 7.

then we can rewrite the expression as :

[tex]-|-9| \times |7|[/tex]

[tex]=-(9) \times (7)[/tex]

[tex]=-9 \times 7[/tex]

[tex]=-63[/tex]

Hence final answer is -63.

I believe the answer would be B. Hope this helps!

Graph B. best represents all the possible dollar amounts that it can save to buy a   Skateboard.

calculation:-

amount Nita needed to buy a skateboard=$85

  amount had=$61

∴ amount Nita needed more= $85-$61

                                    =$24

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Answer:

9/10

Step-by-step explanation:

step 1

Compare the slopes

[tex]1/10=0.10[/tex]

[tex]9/10=0.9[/tex]

[tex]0.9 > 0.10[/tex]

therefore

An experienced skier would like the 9/10 hill slope because it is steeper, while the 1/10 is a softer slope.

B it is horizontally stretched by a factor of of 3 and reflected over the y

Answer:

itś C on edge :)

Step-by-step explanation:

Answer:

'm guessing you mean with parallels and a transversal. If this is the case, then find he angle that is either

a; supplementary (creating a flat angle, 180 degrees) or

b; complimentary (creating a 90 degree angle)

Step-by-step explanation:

subtract the supplementary/complimentary angle from either 180 or 90 and the difference is your answer. Hope I helped!

* * * * *

More likely the question is concerned with the interior angles of a polygon. If the polygon is irregular then there is no simple answer. An interior angle can have any value.

However, if it is a regular polygon then the question can be answered. The sum of all the exterior angles is 360 degrees - irrespective of the number of sides (or vertices). Suppose the polygon has n sides/vertices.

Then, since it is regular, each exterior angle is 360/n. Therefore, each interior angle is 180-360/n degrees.

The sum of interior angles of a polygon can be found using the formula (n-2) x 180 degrees.

To find the measures of the interior angles of a polygon, you must first consider the type of polygon you're dealing with. For a triangle, the sum of the interior angles is always 180 degrees. If you're working with another type of polygon, such as a quadrilateral, the sum of the interior angles is greater, and there's a simple formula to follow: (n-2)  imes 180 degrees, where n represents the number of sides of the polygon. This means that for a quadrilateral, with four sides, the sum of the interior angles would be (4-2) * 180 degrees, which equals 360 degrees.

When it comes to alternate interior angles, these are pairs of angles found on the inside of two lines that are cut by a transversal. If the lines are parallel, the alternate interior angles are equal in measure. For example, if you have two parallel lines cut by a transversal forming angle a and angle f, then a and f would be alternate interior angles and thus, would have the same measure.

The sum of the exterior angles in any polygon is 360 degrees, regardless of the number of sides. When finding the measure of an exterior angle, knowing the measure of its corresponding interior angle can be helpful because the interior and exterior angles form a linear pair (adding up to 180 degrees). Therefore, if the interior angle is 150 degrees, the exterior angle would be 180 degrees - 150 degrees, which equals 30 degrees.

Answer:

a. [tex](8x+12y)^{2} +(6x+9y)^{2} = (10x+15y)^{2}[/tex]

b. [tex]100x+225y=100x+225[/tex] Which means it is an identity

Step-by-step explanation:

The Pythagorean Theorem states that in every right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the respective lengths of the legs. It is the best-known proposition among those that have their own name in mathematics.

If in a right triangle there are legs of length a, and b, and the measure of the hypotenuse is c, then The following relationship is fulfilled:

[tex]a^{2} +b^{2}=c^{2}[/tex]

a. Write an equation using the Pythagorean Theorem and the measurements provided in the diagram

From the exercise shown in the image, we can get the values of a, b, and c.

a = 8x+12y, b = 6x+9y, and c = 10x+15y

Write an equation using the Pythagorean Theorem

We obtain:

[tex](8x+12y)^{2} +(6x+9y)^{2} = (10x+15y)^{2}[/tex]

b. Transform each side of the equation to determine if it is an identity.

In mathematics, an identity is the realization that two objects that are mathematically written differently, are in fact the same object. In particular, an identity is an equality between two expressions, which is true whatever the values ​​of the different ones are.

So, we transform each side of the equation

[tex](8x+12y)^{2} +(6x+9y)^{2} = (10x+15y)^{2}[/tex]

[tex](8x)^{2} +(12y)^{2} +(6x)^{2} +(9y)^{2}= (10x)^{2}+(15y)^{2}\\64x+144y+36x+81y=100x+225y\\(64x+36x)+(144y+81y)=100x+225y\\100x+225y=100x+225[/tex] Which means it is an identity

.

Answer:

a). (10x + 15y)² = (8x + 12y)² + (6x + 9y)²

b). It's an identity

Step-by-step explanation:

a). Pythagoras theorem says

(Hypotenuse)² = Height² + Base²

Therefore, form the given picture

(10x + 15y)² = (8x + 12y)² + (6x + 9y)² will be the equation.

b). For an identity we have to prove Right hand side of the equation(R.H.S.) = Left hand side of the equation(L.H.S.)

Now we solve the L.H.S. of the equation

(10x + 15y)²

= 100x² + 225y² + 300xy  [ (a + b)² = a²+ b² + 2ab

Now we solve R.H.S. of the equation

(8x + 12y)² + (6x + 9y)²

= 64x²+ 144y² + 36x² + 81y² + 108y + 192xy + 108xy

= 100x² + 225y²+ 300xy

Therefore, L.H.S. = R.H.S.

The given equation is an identity.

Below is an image of the vertical line test.

The vertical line test is passed only when a vertical line only intersects the graph once. As you can see this graph intersects the graph twice, and therefore is not a function.

The answer you selected was correct!

Hope this helped!

[tex]\bf n^{th}\textit{ term of a geometric sequence} \\\\ a_n=a_1\cdot r^{n-1}\qquad \begin{cases} n=n^{th}\ term\\ a_1=\textit{first term's value}\\ r=\textit{common ratio}\\ \cline{1-1} r=0.8\\ a_1=10\\ n=5 \end{cases} \\\\\\ a_5=10(0.8)^{5-1}\implies a_5=10(0.8)^4\implies a_5=4.096[/tex]

Answer:

Step-by-step explanation:

The 9 is in the tens place in 75, 293 so rounding to the tens place means we need to round to the place the 9 is in, and we can sort of disregard the number after that, which is a 3. It will eventually round to a 0, but if that number is 5 or greater, it rounds the 9 up. It's a 3, so the 9 stays a 9: 75, 290.

The 2 is in the hundreds place, so just like above, we can change everything after the 2 to a 0, after we use the 9 for rounding. 9 is greater than 5, so the 2 rounds up to a 3: 75, 300.

The 5 is in the thousands place, so everything after that will become 0's, but use the 2 for rounding first. 2 is less than 5, so the 5 stays a 5: 75, 000.

Word form: 4 to 15

Fraction form: 4/15

Ratio form: 4:15

The ratio has been written in three different forms as 4:15, 0.266:1 or 1:3.75.

When a number is divisible by another number then it can be written in the form of p:q, if two ratios are equal then they are said to be in proportion.

The number of walks in the baseball game is 4

The number of hits in the baseball game is 15

The ratio of walks to hits is 4 :15

The ratio of walks to hits is 0.2666 : 1

The ratio of walks to hits is 1 : 3.75

Therefore, the ratio has been written in three different forms as 4:15, 0.266:1 or 1:3.75.

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Answer:

She'll owe each friend $40.

Step-by-step explanation:

That's a total of $200 borrowed from 5 friends, which comes to:

$200

------------- = $40/friend

5 friends

Answer: A. $200 ÷ 5

Step-by-step explanation:

Sorry about the answer above mine.. that's kinda embarrassing considering how easy this question is. Anyways, the correct answer is A because the outcome will be 40 which is what we want because if you did the math for any other answer, the outcome will be negative.

Answer:

b

Step-by-step explanation: