What is the sum of all positive values of x such that x^2 + 6x - 91 = 0?

The time it will take Jack and Chris to program the app when they work together is 4.24 hours.

Rate is a ratio that compares two different quantities which have different units.

Jack program an app in 9 hours. Therefore, the rate is as follows;

1 / 9

Chris can program the same app in 8 hours. Therefore, the rate is as follows;

1 / 8

When they do it together.

1 / 9 + 1 / 8 =  8 + 9/ 72 = 17 / 72

1 / t = 17 / 72

cross multiply

72 = 17 t

t = 72 / 17

t  = 4.23529411765

t = 4.24

Therefore, the time it takes for both of them is 4.24 hours.

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The speed to his sister house is 50mph.

The speed of an object is the magnitude of the rate of change of its position with time or the magnitude of the change of its position per unit of time; it is thus a scalar quantity.

Here, let the speed of his sisters house be x mph.

then, 3x = 2.5(x+10)

         3x = 2.5x + 25

        3x - 2.5x = 25

        0.5x = 25

          x = 25 / 0.5

         x = 50

Thus, The speed to his sister house is 50mph.

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Answer:

$460

Step-by-step explanation:

If the 128.80 is the price of the desk after a 72% discount, it means that 128.80 is 100-72=28% of the original price.

From here, we can divide 128.80 by 28 to find what 1% of the price is then multiply the value by 100 to find 100%, or the original price.

128.80/28 = 4.6

4.6 x 100 = 460

Original price = $460

Hope this helped!

Given:

[tex]\text{Side of }\square \ \text{= 10 units}[/tex]

Area of square:

The area of the square can be determined by using the formula "(side)²".

⇒ Area of square = (side)²

⇒                           = (10)²                                                   [Side = 10 units]

⇒                           = (10)(10)

⇒                           = 100 units²

Therefore, the area of the square is 100 units².

Perimeter of square:

The perimeter of the square can be found by using the formula "4(side)".

⇒ Perimeter of square = 4(side)

⇒                                   = 4(10)

⇒                                   = 4 × 10

⇒                                   = 40 units

Furthermore, the question says:

Which is greater?

- The number of square units (100) for the area of the square.

- The number of units (40) for the perimeter

Conclusion: Since 100 is greater than 40, the number of square units for the area of the square is greater than the number of units for the perimeter.

Answer:

c if not d

Step-by-step explanation:

Answer:

Ratio is the proportion between two numbers.

Percent is the ratio times 100.

Rate is the change of a number per unit time.

Step-by-step explanation:

1.A rate refers to the frequency by which a certain event happens while a ratio refers to the relationship between the size, number, or degree of two or more things.

2.A rate is a comparison between two measurements of the same units while a ratio is the proportion of one thing to another.

3.A rate refers to the fixed quantity of two things while a ratio refers to the relationship between various things.

4.A ratio indicates the difference between things while a rate indicates the changes in their measurements or units.

5.A ratio is indicated by the quotient of one quantity divided by the other while a rate is indicated by the comparison between two things.

Hope it helped ! Have a nice day

Answer:

8a - 6b

You have to substitute in you other numbers:

a = 4 and b = 3

Your new equation would be:

8(4) - 6(3)

Now solve:

8 x 4 = 32

6 x 3 = 18

New problem:

32 - 18

= 14

So your answer is 14.

Step-by-step explanation:

Hope this helps!

From your neighborhood softie :)

Answer:

We are given a length of 27 cm and a width of 16 cm and we can also see that our figure is a rectangle.  This means that we are able to use the area formula for the rectangle which is [tex]A=l*w[/tex].

Therefore, we can just multiply 27 cm by 16 cm and we get [tex]A = 432\ cm^2[/tex]

Hope this helps!  Let me know if you have any questions

Answer:

if am correct your answer will be letter d

Step-by-step explanation:

Answer: 8y

Step-by-step explanation:

The values needed to find the length AB will be;

⇒ AB = √(3x)² + (- 8y)²

Line segment is a part of the line which have two endpoints and bounded by two distinct end points and contain every point on the line which is between its endpoint.

Given that;

The coordinate are,

⇒ A = (- 5x, 4y)

⇒ B = (- 2x, - 4y)

Now,

Since, We know that;

The distance between the points (x₁ , y₁) and (x₂, y₂) is,

⇒ d = √ (x₂ - x₁)² + (y₂ - y₁)²

So, The distance between the points (- 5x, 4y) and (- 2x, - 4y) is,

⇒ d = √ (- 2x - (- 5x))² + (- 4y - 4y)²

⇒ d = √(3x)² + (- 8y)²

Thus, The values needed to find the length AB is find as;

⇒ AB = √(3x)² + (- 8y)²

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Answer:

124 amigo dame corona no e tenido

The dimensions of the matrix are 3 by 3 i.e. 3 x 3, and the indicated element a₂₃ is -7

From the figure in the question, we have the following highlights:

The dimensions of a matrix are represented by: Row by column

Hence, the dimensions of the matrix are 3 by 3

This is given as:

a₂₃

This means that the element is located at the second row and the third column.

The element at this position is -7

Hence, the indicated element is -7

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In the given expression ( f(x) = 2x² + 1 ) when when ( x = 3 ), the value of f(x) is 19.

Hence D)19 Is the correct answer.

An equation is simply a mathematical formula that expresses the equality of two expressions, using the equals sign as a connection between them.

Given that;

f(x) = 2x² + 1, what is (fx) when x = 3

We substitute 3 for x in the equation

f(x) = 2(3)² + 1

f(x) = 2(9) + 1

f(x) = 18 + 1

f(x) = 19

In the given expression ( f(x) = 2x² + 1 ) when when ( x = 3 ), the value of f(x) is 19.

Hence D)19 Is the correct answer.

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Answer:

19

Step-by-step explanation:

did the test on edge

[tex]y = \stackrel{\stackrel{m}{\downarrow }}{-\cfrac{1}{2}}x+\cfrac{1}{4}\qquad \impliedby \qquad \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}[/tex]

Answer:

9

Step-by-step explanation:

1.2 * 10 (9) You need to move it 9 places to the left

Answer:

1050

Step-by-step explanation:

just add 200 x 5 then add 50    its simple

Answer:

13.54

Step-by-step explanation:

Answer:

the equation of the translated function is,

g(x) = (x – 5)^2 + 2

Step-by-step explanation:

got it right on edge

35% of the people support the home team at a baseball game.

As mentioned in the question,
3700 people attended a baseball game. 1295 of the people attending supported the home team, while 2405 supported the visiting team.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Total of people = 3700
People who support the home team  = 1295
People who support the visiting team = 2405
Percentage of home support = 1295  / 3700 × 100
                                                  = 35%

Thus, 35% of the people support the home team at a baseball game.

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Answer:

1. 37 degrees, 2. 39 degrees, 3. 27 degrees

Step-by-step explanation:

You look at the total angle and subtract it by the angle that is given in the question since the two angles should add up to the whole angle of both. You should look at the number that is outside the angles and subtract it by the angle number inside then you will get the missing angles. The last one it is showing a 90 degree angle which is formed so you subtract 63 from 90.

Answer:

x = - 71

Step-by-step explanation:

-11x -44 + 10 x =27

-x = 71

x = - 71

Answer:

-71

Step-by-step explanation:

You can first distribute the numbers in the parenthesis.

-11x-44 (-11*x-11*4)

-11x-44+10x=27

You can now combine like terms.

-11x+10x=-1x

-1x-44=27

This is now a two-step equation problem.

-1x-44=27

    +44=+44

     -1x=71

       [tex]\frac{-1x}{-1}[/tex] =[tex]\frac{71}{-1}[/tex]

x=-71

Answer: The second option, 1/3, 0.33, 33%

Step-by-step explanation:

    We will put the number of wanted outcomes over the number of total outcomes. 1 and 6 is two wanted outcomes.

2 / 6 = 1/3

     Now, 1/3 is equal to 0.33. A decimal multiplied by 100 is a percent, so it is also equal to 33%. Your answer is:

         1/3, 0.33, 33%

Answer:False

Step-by-step explanation:

Using the triangle inequality theorem, the set of lengths that meet all the requirement is: 3, 4, 5, 7.

The triangle inequality theorem states that the sum of any of the two sides of a triangle must be equal or greater than the third side, i.e. if a, b, and c are sides of a triangle, then:

If we have the following set of numbers, 3, 4, 5, 7.

Set 3, 4, 5 will give us:

This means 3, 4, 5 will form a triangle.

Set 4, 5, 7 will give us:

This means 4, 5, 7 will form a triangle.

Set, 3, 5, 7 will give us:

This means 3, 5, 7 will form a triangle.

Set 3, 4, 7 will give us:

This means 3, 4, 7 will form a triangle.

Therefore, we can conclude that the set of lengths, 3, 4, 5, 7, meets all the requirements.

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Answer:

Step-by-step explanation:

Q1

Q2

Answer:

opposite meanings

Step-by-step explanation:

antonyms usually means a word that's the opposite of another word. Examples: hot is the opposite of cold and cold is the opposite of hot

Answer:

Step-by-step explanation:

The x-intercepts are the points with y- coordinate of 0

a) x-intercepts are

b) midpoint of x-intercepts is

c) The extheme value has x- coordinate of - 2.5 and y- coordinate

d) f(- 2.5) = - 30.25

Answer:

[tex]\sf a) \quad x = -8 \:\:and \:\:x = 3[/tex]

[tex]\sf b) \quad \left(-\dfrac{5}{2},0\right)[/tex]

[tex]\sf c) \quad \left(-\dfrac{5}{2},-\dfrac{121}{4}\right)[/tex]

[tex]\sf d) \quad f(x)=\left(x+\dfrac{5}{2}\right)^2-\dfrac{121}{4}[/tex]

Step-by-step explanation:

Part (a)

The x-intercepts are the x-values when the curve crosses the x-axis, so when the function is equal to zero:

[tex]\implies f(x)=0[/tex]

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

Therefore:

[tex](x-3)=0 \implies x=3[/tex]

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

Therefore, the x-intercepts are x = -8 and x = 3

Part (b)

[tex]\textsf{Midpoint}=\left(\dfrac{x_2+x_1}{2},\dfrac{y_2+y_1}{2}\right)\quad \textsf{where}\:(x_1,y_1)\:\textsf{and}\:(x_2,y_2)\:\textsf{are the endpoints}}\right)[/tex]

[tex]\sf \implies Midpoint=\left(\dfrac{-8+3}{2},\dfrac{0+0}{2}\right)=\left(-\dfrac{5}{2},0\right)[/tex]

Therefore, the midpoint of the x-intercepts is (-5/2, 0)

Part (c)

The extreme value is the vertex.  The vertex is:

The x-coordinate of the vertex is the x-value of the midpoint of the x-intercepts.  Therefore, the x-value of the extreme value is x = -5/2.

To find the y-coordinate, substitute this into the given equation:

[tex]\implies \sf y=\left(-\dfrac{5}{2}-3\right)\left(-\dfrac{5}{2}+8\right)=-\dfrac{121}{4}[/tex]

Therefore, the extreme value is:

[tex]\sf \left(-\dfrac{5}{2},-\dfrac{121}{4}\right)[/tex]

Part (d)

The function in vertex form is:

[tex]\sf f(x)=\left(x+\dfrac{5}{2}\right)^2-\dfrac{121}{4}[/tex]

[tex]\begin{aligned}\implies \sf f\left(-\dfrac{5}{2}\right)& = \sf \left(-\dfrac{5}{2}+\dfrac{5}{2}\right)^2-\dfrac{121}{4}\\\\ & = \sf 0 -\dfrac{121}{4}\\\\ & = \sf -\dfrac{121}{4} \end{aligned}[/tex]

Step-by-step explanation:

Perimeter of garden = 264 m

width of the garden = 56 m

length of the garden = ?

Now..

Perimeter = 2 ( l + b )

264m = 2l + 112

264 - 112 = 2l

152 = 2l

l = 152 / 2

l = 76 m

Hence the length is 76m

[tex]...[/tex]

Answer:

Y = 4/3x + 3

Step-by-step explanation:

Hi, I am not sure if you want me to grah this or not. However, I have still provided you with the formula for this line.