Someone please help with this math problem.

Answer:

-5

Step-by-step explanation:

The y coordinate of the vertex is -5.

Answer:

Second option

Step-by-step explanation:

The range is the set of output values a function can take. As shown in the table, as x is substituted in, y is the corresponding value.

The interval where the function is increasing is (3, ∞)

Given the rational function shown below

g(x) = ∛x-3

For the function to be a positive function, the value in the square root  must be positive such that;

x - 3 = 0

Add 3 to both sides

x = 0 + 3

x = 3

Hence the interval where the function is increasing is (3, ∞)

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Answer:

Please see picture below.

Step-by-step explanation:

5+a-4√(a+1)/(a-3) is the simplified form of the number. This can be obtained by multiplying numerator and denominator with conjugate of the denominator.

Given the number,

√a+1-2/√a+1+2

Denominator = √a+1+2

Conjugate of the denominator = √a+1 - 2

Now, (√a+1-2)(√a+1 - 2 )/√(a+1+2)(√a+1 - 2 )

=(√a+1 - 2 )²/(√a+1)² - 4

=(a+1 -4√a+1+5)/(a+1-4)

=5+a-4√(a+1)/(a-3)

Hence 5+a-4√(a+1)/(a-3) is the simplified form of the number.

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Answer:

$4.50

Step-by-step explanation:

Okay so, first add both.

50+40 is 90, then multiply 90 by the tax percent which is

90x5%=4.5

If expression then,

x=money that they have to pay.

5%(50+40)=x    (the original)

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Answer:  30 miles

Work Shown:

2 in : 6 mi

5*2 in : 5*6 mi

10 in : 30 mi

Using the elimination method, the value of x in the system of equations is calculated as: 8.

To solve a system of equations given using the elimination method, do the following:

Multiply 2x - 5y = 1 by 2 and multiply -3x + 2y = -18 by 5 to get the following:

4x - 10y = 2 --> eqn. 1

-15x + 10y = -90 --> eqn. 2

Add

-11x = -88

Divide both sides by -11

x = 8

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Karina obtuvo una nota final de 84 de 100 puntos en su curso de nivelación matemática.

Antes de comenzar la resolución de este problema, asumimos que la base de calificación del curso de nivelación matemática es 100 y que la nota mínima para pasar es 70. Por otra parte, sabemos que la nota obtenida por Karina es divisible por 7 y que es el producto de aquel número primo y un polinomio formado por una relación de tres números primos, la cual es simplificada a continuación:

p (a, b, c) = a · (a + b - c) + b· (a + b - c) + c · (a + b - c)

p (a, b, c) = a² + a · b - a · c + a · b + b² - b · c + a · c - b · c - c²

p (a, b, c) = a² + 2 · a · b + b² - c²

p (a, b, c) = (a + b)² - c²

p (a, b, c) = (a + b + c) · (a + b - c)

Si asumimos que Karina obtuvo 84, entonces se tiene que 84 = 7 × 12 y 12 = 2 × 6. Tanto el dos como el seis son múltiplos de dos, entonces asumimos a = b = c y encontramos que:

n (2, 2, 2) = 7 · (2 + 2 + 2) · (2 + 2 - 2)

n (2, 2, 2) = 7 · 6 · 2

n (2, 2, 2) = 84

En síntesis, Karina obtuvo una nota final de 84 de 100 puntos en su curso de nivelación matemática.

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Answer:

(-2, 6)

Step-by-step explanation:

3x - 4y = -32

3x + 5y = 24

-9y = -56

y = [tex]\frac{56}{9}[/tex] = 6

3x - 4*[tex]\frac{56}{9}[/tex] = -32

3x - [tex]\frac{224}{9}[/tex] = -32

3x = -32 + [tex]\frac{224}{9}[/tex]

3x = -[tex]\frac{288}{9}[/tex]+ [tex]\frac{224}{9}[/tex]

3x = -[tex]\frac{64}{9}[/tex]

x = -[tex]\frac{64}{27}[/tex] = -2

The computation shows that the salesman that has the highest total earnings for the three weeks period will be salesman A.

It should be noted that from the information given, we are given the information about three salesmen and their sales.

The total earnings for salesman A will be:

= (1300 × 3) + 65 × (11 + 14 + 16)

= 3900 + 2730

= 6630

The total earnings for salesman B will be:

= 300 × 3 + 40 × (14 + 15 + 13)

= 900 + 1680

= 2580

The total earnings for salesman C will be:

= 900 × 3

= 2700

Therefore, the computation shows that the salesman that has the highest total earnings for the three weeks period will be salesman A.

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1. The solution to the first percent puzzle is as follows:

                              75%         66²/₃         11¹/₉

          33¹/₃%        25%          22¹/₅%      3⁷/₁₀%

         50%         37¹/₂%          33¹/₃%      5¹/₂%

        50%          37¹/₂%          33¹/₃%      5¹/₂%

2. The solution to the second percent puzzle is as follows:

                           10%             90%

         50%           5%              45%

         50%           5%              45%

A percent puzzle is a puzzle that engages students to practice working with percentages.

The percent puzzle involves a matrix format, in which students multiply the column percent by the row percent to find the percent they must put in the missing boxes to complete the puzzle.

The multiplication results for the missing boxes can be either stated in decimals, fractions, or a combination.

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Answer:

  G.  24

Step-by-step explanation:

The perimeter of the figure is the sum of its side lengths. The given dimensions tell us all of the side lengths.

Triangle BCX is given as an isosceles triangle with a base angle of 60° and side lengths of 4. Such a triangle is equilateral, so all side lengths will have a measure of 4.

The given information tells us all sides that appear parallel are parallel, so the figure consists of 4 equilateral triangles. Every short line segment has length 4.

The perimeter is the length of 6 short line segments, so is ...

  P = 6×4 = 24

The perimeter of parallelogram ABCD is 24 units.

Answer:

[tex] \pink{\maltese{ \text{BODMAS \:Full \: Form \: }}}[/tex]

The expression (48-24)÷3×4 as per BODMAS rule.

(48-24)÷3×4

=24÷3×4

=8×4

=32

Now,

The given question is,

Simplify:

[tex] \displaystyle{ \frac{7}{8} \div 5 \frac{1}{3} \times \frac{24}{7} }[/tex]

[tex] \displaystyle{ = \frac{7}{8} \div \frac{16}{3} \times \frac{24}{7} }[/tex]

[tex] \displaystyle{ = \frac{ \cancel{7} \times 3 \times \cancel{24} \: {}^{3} }{ \cancel{8 } \times 16 \times \cancel{7}} }[/tex]

[tex] \displaystyle{ = \frac{3 \times 3}{16} }[/tex]

[tex] \displaystyle{} = \frac{9}{16} [/tex]

Thus,the final answer is 9/16.

Solution -:

[tex] \frac{7}{8} \div 5 \frac{1}{3} \times \frac{24}{7} [/tex]

Let's begin-

solve,,,

Now,,According to BODMAS rule fist we divide ,

[tex] \frac{7}{8} \times \frac{3}{16} \times \frac{24}{7} \\[/tex]

Now , we multiple

[tex] \frac{3 \times 3}{16} \\ \\ = \frac{9}{16} [/tex]

and this is our final answers

▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃

Division → Multiplication → Addition → Subtraction

Based on the fact that Ram bought some pens and they cost Rs.90 but if he had paid Rs.1 less for each he would have 3 more pens, the number of pens he bought is 6 pens.

This can be represented as:

(x + 3) (y - 3) = 90

Where xy = 90

xy - 3x + 3y - 9 = xy

3y - 3x - 9 = 0

y - x - 3 = 0

x - y + 3 = 0

Solving further gives:

x - 90/ x + 3 = 0

x² + 3x - 90 = 0

Remembering that:

90 = 9 x 10

= 3 x 3 x 2 x 5

= 15 x -6

Going back to the formula:

x (x + 15) - 6 (x + 15)

(x + 15) (x - 6) = 0

x - 6 = 0

x = 6 pens

In conclusion, the number of pens bought was 6 pens.

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The equation ln 5 = y as an exponential equation is [tex]e^y = 5[/tex]

The natural logarithm equation is given as:

ln 5 = y

Rewrite as:

ln(5) = y

Take the exponent of both sides

[tex]e^{ln(5)} = e^y[/tex]

Evaluate the expression

[tex]5 = e^y[/tex]

Rewrite as:

[tex]e^y = 5[/tex]

Hence, the equation ln 5 = y as an exponential equation is [tex]e^y = 5[/tex]

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Answer:

A. the adult human

B. the adult human

Step-by-step explanation:

A. There are 60 minutes in an hour, and the human's heart beats 72 bpm (beats per minute). If you multiply 60 by 72, you get 4,320 bpm. If you multiply 60 by 35, you only get 2,100 bpm.

B. If you use the same logic that 72 is greater than 35, than you can assume that the human hear makes 1,000,000 beats in less time. However, if you want to do the math, then simply divide 1,000,000 by 72. Then, divide 1,000,000 by 35. Whichever has the smaller number is the one that can make more heart beats in a faster time.

The fraction of students that play basketball is  [tex]\mathbf{= \dfrac{1}{10}}[/tex].

The fraction of students that play basketball from the given information can be determined by assuming that the whole number of students in the middle school is whole i.e. (1)

Let us first determine the number of students that participate in sports, we have:

[tex]\mathbf{=1- \dfrac{3}{5}}[/tex]

[tex]\mathbf{= \dfrac{2}{5}}[/tex]

If 1/4 of these students play basketball, then we have:

[tex]\mathbf{= \dfrac{1}{4}\times (\dfrac{2}{5})}[/tex]

[tex]\mathbf{= \dfrac{1}{10}}[/tex] students play basketball.

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Answer:

(-1,-2)

Step-by-step explanation:

Hello!

The solution to the system is at the intersection between the two graphed lines.

Remember that a coordinate is written in (x,y) format, so we take the x-value of the points and the y-value of the point.

The coordinate is (-1, -2).

La pala inferior y la pala superior tienen longitudes verticales de 55 y 65 centímetros, respectivamente. No es posible encontrar las longitudes horizontales.

En esta pregunta debemos saber interpretar las dimensiones geométricas de un arco compuesto y determinar las longitudes de cada pala. Primero, determinamos las longitudes verticales de cada una:

Pala inferior

i = 65 cm - 10 cm

i = 55 cm

Pala superior

s = 65 cm

La insuficiencia de datos sobre longitudes horizontales no permite obtener las longitudes horizontales de cada pala.

La pala inferior y la pala superior tienen longitudes verticales de 55 y 65 centímetros, respectivamente. No es posible encontrar las longitudes horizontales.

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Evaluating the function from the given graph, g(-9) = 1.

To find the value of a function for a given x-value using a given graph, trace the x-value against the corresponding y-value on the y-axis.

To evaluate the function from the graph given, for g(-9), find the y-value that corresponds to the x-value of -9.

The graph shows that when x = -9, the corresponding y-value is 1.

Therefore, g(-9) = 1.

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Answer:

The water costs $1.90, the chips are $.95 and the milk is $3.80.

Step-by-step explanation:

Let m = milk

Let w = water

Let c = chips

2m+6w+7c =25.65      w = 2c     m = w + 1.90

For the first equation, substitute w for 2C and m for w + 1.90 to get:

2(w+1.90) +6(2c) + 7c = 25.65

2w+3.8+12c+7c=25.65

2w+19c = 21.85

Now substitute 2c for w:

2(2c)+19c =21.85

4c + 19c = 21.85

23c = 21.85

c = .95  Now that we know the cost of the chips we can use that to find the water and the milk for the original equations that we wrote at the top.

w = 2c

w=2(.95) = 1.90

m = w + 1.90 = 1.90+1.90 = 3.80

Answer:

yes it's true no problem sir

The value of r If r varies directly with the square of m and inversely with s is 240

Suppose r varies directly with the square of m and inversely with s.

If r varies directly with the square of m and inversely with s, then;

r = km²/s

Given that R = 15 when m = 6 s= 4

15 = k(6)²/4

60 = 36k

k = 60/36

k = 5/3

If the value of m = 24 and s = 4, hence;

r = 5/3*24²/4

r = 240

Hence the value of r If r varies directly with the square of m and inversely with s is 240

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Yes a Linear Equation can be used and the slope and the y-intercept of the equation are respectively; B: slope = 10, y-intercept = 25

How to Write an equation in Slope Intercept Form?

We are given the coordinates;

(n, p) = (1, 35), (5, 75), (20, 225), (100, 1025)

Now, the way to find the slope is;

m = (y2 - y1)/(x2 - x1)

m = (75 - 35)/(5 - 1)

m = 10

The equation that models this is;

(y - 35)/(x - 1) = 10

y - 35 = 10x - 10

y = 10x + 25

Thus, y-intercept is at x = 0.

y = 10(0) + 25

y = 25

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dunno

The area between the two functions is 0

The functions are given as:

f₁(x)= 1

f₂(x) = |x - 2|

x ∈ [0, 4]

The area between the functions is

A = ∫[f₂(x) - f₁(x) ] dx

The above integral becomes

A = ∫|x - 2| - 1 dx (0 to 4)

When the above is integrated, we have:

A = [(|x - 2|(x - 2))/2 - x] (0 to 4)

Expand the above integral

A = [(|4 - 2|(4 - 2))/2 - 4] - [(|0 - 2|(0 - 2))/2 - 0]

This gives

A = [2 - 4] - [-2- 0]

Evaluate the expression

A = 0

Hence, the area between the two functions is 0

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