Select all statements that are true about the graph of h (x) = –3 |x – 1| + 4.
A. Its vertex is at (–1, 4).
B. Its vertex is at (1, 4).
C. Its line of symmetry is x = –1.
D. Its line of symmetry is x = 1.
E. It crosses the y-axis at (0, 1).
F. It crosses the y-axis at (0, 4).

Answer:

49 degrees

Step-by-step explanation:

Answer:

4.7 cm

Step-by-step explanation:

I took the test

The length of the rectangle-shaped classroom is 15 meters.

We have a classroom. The shape of the classroom is rectangular. The length of the classroom is 3 meters more as compared to its width. The area of the rectangular classroom is 180 square meters. We need to find the length of the classroom.

Let the width of the rectangle be represented by the variable "x". The length of the rectangle is "x + 3". We will use the formula for the area of a rectangle. The area of a rectangle is the product of its length and width.

A = x*(x + 3)

180 = x² + 3x

x² + 3x - 180 = 0

We will use the quadratic formula to solve for the values of "x".

x = [-3 ± √(3² - 4(1)(-180))]/2(1)

x = [-3 ± √(9 + 720)]/2

x = [-3 ± √729]/2

x = [-3 ± 27]/2

The values of the variable "x" are -15 and 12. The negative value is rejected because the measure of a dimension cannot be negative. Hence, the value of "x" is 12. The length of the rectangular classroom is x + 3 = 12 + 3 = 15 meters.

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The expression of time taken for the submarine to descend in

d(t)= mt + b  is

data gotten from the question

after 2 minutes a submarine had descended -390 feet

-390 = 2m + b

after 9 minutes the submarine had descended to -600 feet

-600 = 9m + b

The data from the question gives two linear equations with two unknown

-600 = 9m + b

-390 = 2m + b

solving the equations gives

m = -30

b = -330

the equation is then written as

d(t) = -30t - 330

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Answer: 1. 12.5 miles per hour 2. 0.36 hours

Step-by-step explanation:

Please refer to this explanation:

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Answer:

three

Step-by-step explanation:

o 13, 19, 7

The width of the rectangular Hardee County, considering it's area, is given as follows:

21.23 miles.

The area of a rectangle of length l and width w is obtained by the multiplication of these dimensions, as follows:

Area = length x width.

For the rectangular Hardee County, the parameters are given as follows:

Considering the area and the length, the width is obtained as follows:

Area = length x width

30w = 637

w = 637/30

w = 21.23 miles.

(the area is in miles squared, hence both dimensions are in miles).

The problem is shown by the image at the end of the answer.

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Answer:

[tex]\textsf{(a)} \quad \boxed{9a-3}[/tex]

[tex]\textsf{(b)} \quad \boxed{-9a-3}[/tex]

[tex]\textsf{(c)} \quad \boxed{-9a+3}[/tex]

Step-by-step explanation:

Given function:

[tex]f(x) = 9x - 3[/tex]

Part (a)

To find f(a), substitute x = a into the function:

[tex]\implies f(a)=9a-3[/tex]

Part (b)

To find f(-a), substitute x = -a into the function:

[tex]\implies f(-a)=-9a-3[/tex]

Part (c)

To find -f(a), first substitute x = a into the function:

[tex]\implies f(a)=9a-3[/tex]

Then make the function negative:

[tex]\begin{aligned}\implies -f(a)&=-(9a-3)\\&=-9a+3 \end{aligned}[/tex]

Answer:

We use the attached graph

a. The maximum profit is the y value that is the value of P(x) that reaches maximum. From the graph the maximum value of P(x) is 675

So the maximum profit the florist will earn from selling bouquets = $675

b. Break even is the point where the profit p(x) becomes 0

From the graph we can see that P(x) =0 at x= -10 and x=20

x=-10 is invalid

So, break even after 20 one- dollar decreases

c. The interval of number of one dollar decreases is where the profit P(x) is greater than 0.

From the graph its very clear that the profit P(x) is greater than 0 in the interval 0 to 20.

So, The interval of number of one dollar decreases for which the florist makes a profit from celebration bouquet is (0, 20)

Answer:

From least to greatest

= -7, -3, 2, 5

Absolute values from least to greatest

= 2, 3, 5, 7

(Absolute value is the distance of a number from 0 in the number line regardless of the direction, so I think this is the answer)

Respuesta:

5

Explicación paso a paso:

28- (2*4)= 20

20/4=5

28 es el total de horas

2 horas por la mañana durante cuatro días

20 es el total de horas por la noche

4 días trabajados

5 es horas cada día durante la noche

Answer:

Durante cada turno de la noche Esther trabajo 5 horas

Step-by-step explanation:

Primero hallemos cuantas horas trabaja Esther en un día

[tex]2 + x = horas\ en \ un\ dia[/tex]

2 es el número de horas que trabaja en cada turno de la mañana y [tex]x[/tex] el número de horas que trabaja en su turno de la noche (en este momento desconocemos el valor de [tex]x[/tex] y es el que queremos hallar). Ahora se tiene que en 4 días ester trabaja 28 horas en total, por lo tanto, multiplicamos 4 a ambos lados de la ecuación para conservar la igualdad

[tex]4\times (2 + x) = horas\ en \ cuatro \ dias[/tex]

[tex]8+4x= 28[/tex]

Ahora se despeja [tex]x[/tex] de la ecuación anterior

[tex]4x=28-8=20\\x=\frac{20}{4} =5[/tex]

De tal manera que Esther en cada turno nocturno trabaja 5 horas

Answer:

Positive

Step-by-step explanation:

Appears to be a POSITIVE correleation

   as height increases   so  does weight

The number of three letter words that can be formed from the 4 letters "FGHI" is

(a) when repetition allowed is 64

(b) when repetition not allowed is 24 .

In the question ,

the four letters are given as "FGHI" ,

we need to find the how many 3 letter words  can be formed ,

(a) when repetition is allowed

= (selecting a letter from 4 given letters)×(selecting a letter from 4 given letters)×(selecting a letter from 4 given letters) .

= ⁴C₁ × ⁴C₁ × ⁴C₁

= 4 × 4 × 4              .... because ⁴C₁ = 4

= 64

(b)  when repetition not allowed

= (selecting a letter from 4 given letters)×(selecting a letter from the remaining 3 letters)×(selecting a letter from the remaining 2 letters)

= ⁴C₁ × ³C₁ × ²C₁

= 4 × 3 × 2

= 24

Therefore , The number of three letter words that can be formed from the 4 letters "FGHI" is  (a) when repetition allowed is 64  , (b) when repetition not allowed is 24 .

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Answer: d> 5 1/2

Step-by-step explanation:

34 + (12 × d) > 100

34 + 12d > 100

12d > 100 - 34

12d > 66

d > 66 / 12

d > 5 1/2 days

Therefore, the number of days, (d), it will take Katie to collect over 100 seashells is 5 1/2 days.

The quadratic function is increasing on the interval:

(-∞, 0)

Here we want to see on which intervals is the quadratic function increasing.

Or function is:

f(x) = 5 - 2x^2

Notice that we have a negative leading coefficient, which means that the parabola opens downwards.

Then the function will be increasing from negative infinity to the x-value of the vertex.

Remember that for the general quadratic:

y = a*x^2 + b*x + c

the x-value of the vertex is:

x = -b/2a

In this case we don't have a linear term, so b = 0, then the vertex is at x = 0.

Which means that the function is increasing on the interval (-∞, 0)

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Answer:

$25.67

Step-by-step explanation:

120 - 43 = 77

77/3 = 25.67

The integer which satisfies both inequalities  -4 ≤ x ≤ 3 and -5x -3 > 8 are -3 and -4.

A mathematical phrase in which the sides are not equal is referred to as being unequal. In essence, a comparison of any two values reveals whether one is less than, larger than, or equal to the value on the opposite side of the equation.

As per the given first inequality,

-4 ≤ x ≤ 3

The integer associated with the above inequality is -4,-3,-2,-1,0,1,2,3.

As per the given second inequality,

-5x -3 > 8

-5x > 8 + 3

-5x > 11

x < -11/5

x < -2.2

The integer associated with the above inequality is -3,-4....

The integer satisfies both inequalities are -3 and -4.

Hence "The integer which satisfies both inequalities  -4 ≤ x ≤ 3 and -5x -3 > 8 are -3 and -4".

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Answer:

P 717

Step-by-step explanation:

Fraction addition using algebra:

       Let the cost of bracelet =  x

          [tex]\sf Cost \ of \ pendent = \dfrac{3}{4}*Cost \ of \ bracelet[/tex]

                                   [tex]\sf = \dfrac{3}{4}x[/tex]

Cost of bracelet + cost of pendent = 413    

                      [tex]\sf x + \dfrac{3}{4}x = 413\\\\ \dfrac{4}{4}x+\dfrac{3}{4}x=413[/tex]

                                [tex]\sf \dfrac{7}{4}x=413[/tex]

Muliply both sides by 4,

                                [tex]\sf 4*\dfrac{7}{4}x = 413*4\\\\[/tex]

                                     7x  = 413 * 4

Now, divide both sides by 7

                                      [tex]\sf x = \dfrac{413*4}{7}\\\\ x = 59*4\\\\x = 236[/tex]

Cost of bracelet = P 236

Cost of pendent = 413 - 236

                            = P 177

Answer:

2 + (-10) = 2 - 10 = -8

The x- and y-intercept of the line -1.2x + 8.2y = 39.36 are -32.8 and 4.8

An intercept is a point at which the line crosses the axis of a graph. The point at which the line crosses the x-axis is known as the x-intercept, whereas if a line crosses the y-axis at a point, then the point will be the y-intercept.

Here we have,

-1.2x + 8.2y = 39.36

To find x - intercept substitute y = 0

=> -1.2x + 8.2(0) = 39.36

=> -1.2x = 39.36

=> x = 39.36/1.2

=> x = -32.8

To find y - intercept substitute x = 0

=> -1.2(0) + 8.2y = 39.36

=> 8.2y = 39.36

=> y = 39.36/8.2

=> y = 4.8  

Therefore

The x- and y-intercept of the line -1.2x + 8.2y = 39.36 are -32.8 and 4.8

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Answer:

x=12 y=15

Step-by-step explanation:

15-9=6 6+6=12

18-9=9 6+9=15

Horizontal asymptotes of the given graph is given by y = -4.

As given in the question,

From the given graph we observed :

Value of each unit on x -axis is equal to 1

Value of each unit on y -axis is equal to 1.

For the standard equation of line y = mx + b

When input values tends to ∞ or -∞ graph approaches to infinity to both the ends.

Horizontal asymptote is given y = b as per the value of b .

Here in the given graph ,

When input values tends to to ∞ or -∞ graph approaches to infinity to both the ends then horizontal asymptote is given by y = -4.

Therefore, horizontal asymptotes of the given graph is given by y = -4.

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Answer: (8,3)

Step-by-step explanation:

See the picture attached

The graph of the given logarithmic function is (see in attachments).

Graph:

In mathematics, a graph is an orderly visual representation of any data. The graph shows how the variable quantities are related to one another. A graph is used in graph theory to represent the collection of objects that are interconnected in some way. The edges between the nodes reflect the connections between the nodes, while the vertices or nodes of the objects are essentially mathematical concepts.

Numerous types of graphs are used to visually display data in mathematics and statistics. Graph theory is the study of points and lines. It is a field of mathematics that focuses on graph analysis.

This image provides a visual representation of the mathematical truth. Graph theory is a method for studying relationships.

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Answer:

The correct answer is 0.00604

Step-by-step explanation:

Tip: Think of how a number line is displayed: negative numbers are on the left side of the mid-point, zero in most cases, and positives numbers are to the right of the mid-point.

Since the exponent is a negative number, you know that you need to move the decimal point to the left the same number of places as the exponent. In this problem, the exponent is –3, meaning that you need to move the decimal point 3 places to the left.

*Remember to fill in any gaps with a zero after moving the decimal point.* Your answer should look like this: 6.04 in standard form is 0.00604

Hope that helps! Have an amazing rest of your day! Brainliest welcome! :)

Answer: 14 mph

Step-by-step explanation:

Let x = the speed of the boat in still water.

Then the speed of the boat relative the bank of the river is u-5 km/hb when it moves upstream, and u+5 when it moves downstream.

We can write the basic equation for travel and distance problems

Time = Distance/Speed in the form  

t = 9/x-5   for moving upstream, and

t = 19/x+5 for moving downstream.

Since the left side, t, is the same in both equations, you get a single equation for u

9/x-5 = 19/x+5

To solve it, multiply both sides by the product (x-5)*(x+5) and simplify:

9*(x+5) = 19*(x-5),

9x + 45 = 19x - 95,

45 + 95 = 19x - 9x,

10x = 140,

u = 140/10 = 14 mph.

hope this helps

Answerx=7

Step-by-step explanation:

Answer: 18

Step-by-step explanation:  All you do is subtract 26 by 8 and you get 18. 18+8=26 :)

The value of k in the equation k over 12.6 equals 7.4 is A. 93.24

Temperature simply means the degree of hotness and coldness in a body.

Based on the information given, the equation is expressed as k over 12.6 equals 7.4. This will be:

k / 12.6 = 7.4

Cross multiply

k = 12.6 × 7.4

k = 93.24

Therefore, the correct option is A.

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The correlation coefficient, r, of the data (1 , 6) , (3 , 4) , (5 , 2) is calculated as: r = -1

The correlation coefficient can be described as a numerical value that ranges from -1 through 0, to 1. It is a test of the strength of the relationship between two different variables. It is denoted as "r".

The formula for finding the correlation coefficient (r) between two variables x and y is given as:

r = Σ(xi - mean of x)(yi - ȳ) / √(Σ[xi - mean of x)²Σ(yi - ȳ)²]

Given the following data:

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

Therefore, the table in the attached diagram shows how to derive each of the variables in the formula used for calculating the correlation coefficient, r, between X and Y.

Thus, applying the formula, we have:

Correlation coefficient (r) = -8/√(8*8)

Correlation coefficient (r) = -1

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Answer: 52 miles per hour

Step-by-step explanation:

 15/60=.25

4 hours

221 miles

221/4.25

52 miles per hour