WILL MARK BRAINLIEST! Determine the quadratic function of the form f(x)= a(x - h)² + k whose graph is given on the
right.

Answer:

b

Step-by-step explanation:

the right side base angle and 80° are vertically opposite angles and are congruent, both 80°

the exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

123° is an exterior angle of the triangle , then

x + 80 = 123 ( subtract 80 from both sides )

x = 43

Answer: f(x)=-.5x-1

Step-by-step explanation:

I believe this is the answer you are looking for. Because if you plug in -10 for x and it gives you 4. Do the same with 8 and you get -5

Hope this helps :)

Answer:

Step-by-step explanation:

5) f(1)= 2x^3-3x^2-2x+a=-4

     2^3- 3^2-2+a= -4

      a=-1

6)b= 42

The solution to the expression given as 5x + 3y > 12 has the ordered pair of (3, 0)

From the question, we have the following inequality that can be used in our computation:

5x + 3y > 12

Solving further, we need to collect the like terms

So, the expression becomes

3y > 12 - 5x

Next, we divide through the inequality by 3

So, we have the following representation

y > 12/3 - 5/3x

Evaluate

The equation becomes

y > 4 - 5/3x

At this point, we assume any value for x and then solve for y

Assume that the value of x is 3

So, we have the following representation

y > 4 - 5/3 * 3

Evaluate the products

y > -1

A value greater than -1 is 0

So, we have

x = 3 and y = 0

Express as ordered pairs

(x, y) = (3, 0)

Hence, the ordered pair of the solution is (3, 0)

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Answer:

The parent graph has been dilated by a scale factor of 100 and has been moved to the right by 5 units

Step-by-step explanation:

The change made to f(x) = 1/x to f(x) = 100/x is a dilation by a scale factor of 100(the function has been multiplied by 100) .

The transformation of function f(x) = 100/x to f(x) = 100/x-5 is moving o the right 5 units (whenever a constant, let's call it "c", is being subtracted from the x when graphing, it means the graph has moved "c" units to the right, and vice versa--if "c" was added to x, then the graph would be moved "c" units to the left.).

TL;DR: f(x-c) means c units to the right, f(x+c) means c units to the left. f(x)*c means a dilation of c units.

Answer:

  (1, 4)

Step-by-step explanation:

You want the vertex of the parabola y=2(x-1)²+4.

The vertex form of the equation for a parabola is ...

  y = a(x -h)² +k . . . . . . 'a' is the scale factor; (h, k) is the vertex

Comparing the given equation to the vertex form, we see that ...

  a = 2

  h = 1

  k = 4

Then the coordinates of the vertex are (h, k) = (1, 4).

The total number of students at library using part part whole model is 13.

What is part part whole model ?

  The idea that numbers may be divided into parts, often known as the part-whole model or part-part-whole reasoning, is one that can be used to the study of mathematics. The relationship between the entire number and its component components will be clear to children utilising this model, which will aid learners in connecting addition and subtraction.

Here Number of student who leave library = 6

Number of students who stay at library = 7

Here we have to take  Number of student who leave library as one part and Number of students who stay at library as another part . Then

Total number of students at library at start = 6+7 = 13.

The part part whole model like,

=>        Total = 13

Part=6              Part=7

Hence the Total number of students is 13.

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Answer:

The answer is 24 I think

Step-by-step explanation:

just multipy the numbers

When there is 580 feet of fencing available to complete the job, the largest possible total area of the 5 pens is 7008.33 feet.

The quantity area expresses the extent of a region on a plane or curved surface.

STEP 1: We know that,

A=x y

The perimeter equals 580feet.

The equation is,

580=6x+2y

Step 2: Solving y terns with x,

y=-3x+290

This information will assist us in obtaining our Area equation in terms of a single variable (just in terms of x).

Step 3: Using the x-y relationship discovered in Step 2, write your Area equation in terms of x only. You should obtain

A=x y

A=x(-3x+290)

A=-3x²+290x

Step 4: Derive the area equation,  A' = -6x+290

Step 5: Set A' = 0

-6x+290=0

x=290/6

x=48.33

Step 6: Find y by substituting 48.33 in x in the perimeter equation then,

y=-3(48.33)+290

y=145.01

Step 7:  A=x y

A=(48.33)(145.01)

A=7008.33 feet

The largest possible total area of the 5 pens is 7008.33 feet

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RIGHT function should be used to extract the last four digits from a column containing phone numbers.

The Excel TEXT functions section includes the RIGHT Function[1]. A predetermined number of characters from the end of a provided text string will be returned by the function.

The RIGHT function can be helpful in the financial analysis if we want to extract characters from a text string's right side. It is typically used in conjunction with functions like VALUE, SUM, COUNT, DATE, DAY, etc.

Formula is=RIGHT(text,[num chars])

The following arguments are used by the RIGHT function:

Text is the original text string (mandatory argument).

The number of characters to be returned from the end of the provided text is specified by the optional argument Num chars. It specifies how many characters will be taken, beginning on the right side of the text. If the argument is omitted, the value of 1 by default is used.

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The value of x in 3² × [tex]3^{x}[/tex] = 3² is 0.

According to the question,

We have the following information:

3² × [tex]3^{x}[/tex] = 3²

We know that when two numbers with the same base are in multiplication then the powers of the numbers are added. So, in this case, 2 will be added to x. And this expression of addition will be equal to the powers of the number on the right hand side.

Now, we have the following expression:

2+x = 2

x = 2-2

x = 0

Hence, the value of x in 3² × [tex]3^{x}[/tex] = 3² is 0.

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Answer:

I can use the given (algebraic expression) 24c+12 to find the total cost of the order

The expression has two (terms). They are 24c and 12

In 24c the number 24 is the (coefficient) and the letter c is the (variable).

The term 24c represents a (product)

To find the total cost of the order I can (evaluate) the given expression

I have to (substitute) the given value for the variable then I can follow the (order of operations) to simplify the expression

24c+12

24(6)+12

144+12

156

The total cost is 156

Hope this helps :)

The probability that the sum of the dice is 9 is, 4/33.

What is dice?

Dice are little, thrown-away devices with marked sides that can rest in various locations. They are frequently employed in tabletop games including dice games, board games, role-playing games, and games of chance to provide random values.

Let two fair dice are rolled.

So the possible number of outcomes are,

(1, 1)  (1, 2)  (1, 3)  (1, 4)  (1, 5)  (1, 6)

(2, 1)  (2, 2)  (2, 3)  (2, 4)  (2, 5)  (2, 6)

(3, 1)  (3, 2)  (3, 3)  (3, 4)  (3, 5)  (3, 6)

(4, 1)  (4, 2)  (4, 3)  (4, 4)  (4, 5)  (4,6)

(5, 1)  (5, 2)  (5, 3)  (5, 4)  (5, 5)  (5, 6)

(6, 1)  (6, 2)  (6, 3)  (6, 4)  (6, 5)  (6, 6)

There are total 36 outcomes.

There are 33 outcomes with sum greater than 3.

The outcomes with sum greater than 9 are, 4 which are (3, 6), (4, 5), (5, 4) and (6, 3).

Hence, the probability that the sum of the dice is 9 is, 4/33.

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Sarah can purchase 8 mangoes with all her remaining money

Given that:

Sarah has 21.50 to go grocery shopping

She donates 3.00 to a canvasser for a charity (that is subtraction).

Thus, the remaining money = 21.50 - 3.00 = 18.50

If mangoes cost 2.25. In order to know how many mangoes she can purchase if she uses up all of her remaining money, you have to divide the remaining money (18.50) by the cost of the mangoes (2.25). Thus:

Number mangoes = remaining money /cost of mangoes

Number mangoes = 18.50 / 2.25 = 8

Therefore, she can purchase 8 mangoes if she uses up all of her remaining money

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The new yield strength of the 1040 steel will be the intercept on the curve for 30.56 %of cold work which is between700 to 800 MPA

Given original diameter do = 12 mm

Ao = [tex]\pi[/tex]/4 x 12² = 113.097 mm²

Deformed diameter d =10mm

Ad = [tex]\pi[/tex]/4 x 10² = 78.54 mm²

Degree of cold work %CW = (Ao - Ad/Ao)X 100

                                             =(113. 097 - 78. 54/113.097) x 100

                                             = 30.56%

% CW is 30.56 %

Therefore, the intercept on the curve for 30.56% of cold work, which is between 700 and 800 MPA, will represent the new yield strength of the 1040 steel.

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The angle which corresponds with angle 2 given that; lines m and n are parallel and are intersected by transversal p is; angle 6.

Corresponding angles by definition are any pair of angles each of which happens to be on the same side of one of two lines cut by a transversal and also on the same side of the transversal.

Therefore, it follows from the definition above that the angle which is corresponding to Angle 2 as required in the task content is; angle 6.

This follows from the fact that angles 2 and 6; each happens to be on the same side of one of two lines cut by a transversal and also on the same side of the transversal.

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Answer:

357 national parks

Step-by-step explanation:

420x85/100

420x17/20

21x17=

357

The linear factors of the given cubic polynomial are (x-1)(x+4)(x+5).

The linear factors of a polynomial are the first-degree equations that are the building blocks of more complex and higher-order polynomials.

Given a cubic polynomial, x³+8x²+11x-20

x³+8x²+11x-20 = (x-1)(x²+9x+20)

= (x-1)(x²+4x+5x+20)

= (x-1){x(x+4)+5(x+4)}

= (x-1)(x+4)(x+5)

Hence, The linear factors of the given cubic polynomial are (x-1)(x+4)(x+5).

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Answer:

weight = 57 Kg

Step-by-step explanation:

We require to find the length of the diagonal (d) piece of metal

using Pythagoras' identity in the right triangle

the square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

d² = 8² + 6² = 64 + 36 = 100 ( take square root of both sides )

d = [tex]\sqrt{100}[/tex] = 10

the length of the 5 pieces is then

8 + 8 + 6 + 6 + 10 = 38 m

the total weight of the 5 pieces is then

weight = 38 × 1.5 Kg = 57 Kg

1. No This survey does not mean that cell phones are good for your health.

2. The factor that can be used as the best explanation for the strong correlation would be the general economic conditions of the people.

When one variable's value rises, the other variable's value also rises in a similar way. For instance, a student's exam score tends to be greater the more hours they study. Exam results and study time have a significant positive link.

A strong correlation, also known as a high correlation, indicates that two or more variables have a significant relationship with one another, whereas a weak or low correlation indicates that the variables are rarely associated.

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complete question

A survey of the world's nations in 2004 shows a strong positive correlation (hence, a positive association) between percentage of the country using cell phones and life expectancy in years at birth.

a. Does this mean that cell phones are good for your health? select one: ____ yes ____ no

b. What might best explain the strong correlation (as a lurking variable)?

Select one:

_____ Percent of young people

____ General economic conditions of the country

____ Percent of pop. living in cities

The speed at which raina can swim if there is no current is 3 km/hor 3 kilometers per hour.

Given that,

In the same length of time it took raina to swim kilometers with the river, she was able to swim 8 kilometers against it. The current flowed at a kilometer per hour rate.

Distance 1 * (Raina's velocity - current velocity) = Distance2 * (Raina's velocity + current velocity)

16 * (Raina's velocity - 1) = 8 * (Ivan's velocity + 1)

(16 * Raina's velocity) - 16 = (8 * Ivan's velocity) +8

8 * Raina's velocity = 24

Raina's velocity = 3 kilometers per hour

As a result, Raina can swim at a speed of 3 km/hr in the absence of a current.

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Answer:

do the answer is 532 ft.

u should be careful not to count the area of the ceiling and the floor of the room!

Answer:

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

Perimeter of the room:

Area of the four walls:

The height of the tower is 87.4870 feet

The angle of elevation is an angle that is formed between the horizontal line and the line of sight. If the line of sight is upward from the horizontal line, then the angle formed is an angle of elevation.

The body of the calculation is contained in the attached file.

In conclusion, the height of the tower to the nearest ten thousandth is 87.4870 feet

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m= (6- 3)/ (-5 -1)

2x - y + 11= 0

Answer:

They all come out to be infinity

The three valid congruency statements are; Triangle PQR = Triangle STU

Angles who are of same measurement are called congruent.

Suppose that two angles ∠A and ∠B are of same measure, then

[tex]m\angle A = m\angle B[/tex] is the notation to say that they are of same measurement, where the small m shows that its the measurement of the angles they're preceding.

Congruence statement states that a statement used in geometry that simply says that two objects are congruent, or has the  same shape and size.

Also, we can make congruence statements in words or in symbols. Using symbols we use the congruence symbol i,e  ≅ to indicate that two objects are congruent.

In the given triangles;

Angle T = Angle Q

QR = ST

TU = PQ

Triangle PQR = Triangle STU reason=ASA

Therefore, the three valid congruency statements are;

Triangle PQR = Triangle STU

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