Two numbers multiply to -24 and add up to -5

Answers

Answer 1

Answer:

-8 and 3

Step-by-step explanation:

Answer 2

The asked numbers are -8 and 3.

What are equations?

An equation is a mathematical statement that shows that two mathematical expressions are equal.

For instance, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.

Given that, two numbers multiply to -24 and add up to -5

Let the two numbers be x and y

x+y = -5...(i)

xy = -24

x = -24/y...(ii)

Put eq (ii) in eq (i)

-24/y + y = -5

-24 + y² = -5y

y²+5y-24 = 0

Factorizing,

y = 8 and 3

Taking y = 3, put it in eq(ii)

x = -24/3

x = -8

Hence, the asked numbers are -8 and 3.

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Related Questions

Determine whether the ordered pair (0, 2) is a solution to the equation -2x + y = -1
O No, (0, 2) is not a solution.
O Yes, (0, 2) is a solution

Answers

Answer:

O Yes, (0, 2) is a solution

Step-by-step explanation:

The Solution of an Equation

Given the equation

-2x + y = -1

An ordered pair (a,b) is a solution of the equation if

-2a + b = -1

Let's test the point (0,2) to check if it's a solution of the equation:

Replacing x=0, y=-1

-2(0) + (-1) = -1

0 - 1 = -1

-1 = -1

Since the equation is satisfied, the pair (0,2) is a solution.

Answer: O Yes, (0, 2) is a solution

Answer:

No, (0, 2) is not a solution.

Step-by-step explanation:

I did the test

A taxi driver charges a $2 fee plus an additional $4 per mile as shown by the graph.

What is the cost of a 3-mile ride?
$1
$10
$12
$14

Answers

Answer:

The answer is 14

Step-by-step explanation:

The taxi driver charges $4 per mile so you multiply that by 3 miles because that is what your trying to find. So you get 12 and from their you have to add the $2 fee thus leading to an answer of 14.

Can anyone help its due in 10 minuets!

Answers

Answer:

x=30⁰

Step-by-step explanation:

4x-55+3x+25=180

7x-30=180

7x=210

x=30⁰

Proof

3(30)+25=115

4(30)-55=65

115+65=180⁰

9.
A tree casts a shadow 36 feet long at
the same time a boy 5 feet tall casts a
shadow 4 feet long. Find, in feet, the
height of the tree.

Answers

the tree is 30 feet

Students had two options for lunch, either a taco salad or a hot dog.

The ratio of taco salads to hot dogs is 3:1.

If a total of 80 lunches were served, how many were hot dogs?

Answers

Answer:

ok, so the answer would be 27 hot dogs and 53 tacos salads

Step-by-step explanation:

explain the benefits of each of the three forms of quadratic equations, standard form, vertex form, and factored form. What do they reveal about the graph or the quadratic?

Answers

Answer:

Summary:

Standard form allow us to quickly find the y-intercept.

Vertex form allow us to quickly locate the vertex.

And factored form allows us to quickly determine the roots/zeros.

Step-by-step explanation:

The three forms of quadratics are the standard form, vertex form, and the factored form. Each of them reveals a specific part about the quadratic.

Standard Form:

The standard form of a quadratic is:

[tex]ax^2+bx+c[/tex]

There are only two details that can be conveyed by a quadratic in standard form immediately: (1) the leading coefficient a, and (2) the y-intercept.

The leading coefficient a will tell us if the parabola curves upwards or downwards.

And the constant c will give us the y-intercept.

Vertex Form:

The vertex form of a quadratic is:

[tex]a(x-h)^2+k[/tex]

There are also two details that can be conveyed by a quadratic in vertex form:  (1) the vertex, and (2) the leading coefficient.

The leading coefficient is given by a. Again, this tells us the orientation of the parabola.

And the vertex is given by (h, k).

Hence, in my opinion, vertex form is the best form of a quadratic since it immediately reveals the vertex, the most important aspect of a quadratic.

Factored Form:

The factored form of a quadratic is:

[tex]a(x-p)(x-q)[/tex]

Where p and q are the zeros/roots/solutions of the quadratic.

Again, factored form gives us two details about the quadratic: (1) the leading coefficient, and (2) the zeros.

The zeros tells us when the parabola crosses the x-axis, which can assist in graphing.

Summary:

Therefore, each form of a quadratic equation has its own benefits.

Standard form allow us to find the y-intercept.

Vertex form allow us to quickly locate the vertex.

And factored form allows us to quickly determine the roots/zeros.

Hence, depending on the question, each form can be useful in its own way.

Factor the GCF: −14y2 + 12y − 22

Answers

Answer: The answer is x(x^4+7x^3y^3–8y^4+14y).

Step-by-step explanation:

can you guys help me please ?

Answers

Answer:

4x + 12 = -4

4x = -16

x = -4

Step-by-step explanation:

Have a great day :)

What is the equation of the line of symmetry for the parabola represented by the equation y=−x^2+2x+6?

Answers

Answer:

the answer would be t56 im guess ing along with x

Step-by-step explanation:

The line of symmetry for the parabola represented by the equation is

x = 1.

What is a parabola?

A symmetrical open plane curve formed by the intersection of a cone with a plane parallel to its side. The path of a projectile under the influence of gravity follows a curve of this shape.

Given an equation of a parabola, y = -x²+2x+6

Factorizing the equation, we get,

x = 1+√7 or x = 1-√7

We know that the line of symmetry of a parabola is equal to the x-coordinate of the vertex of the parabola.

We also know that the x-coordinate of the vertex of a parabola is equal to the average of zeros. So the x-coordinate of the vertex of the parabola would be:

(1+√7 + 1-√7)/2 = 1

Hence, the equation represents the line of symmetry of the given parabola is x=1.

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(2) A store is having a 20%-off sale on all merchandise. If Mai buys one item and saves $13, what was the original price of her purchase? Explain your reasoning. *

Answers

Answer:

$65

Step-by-step explanation:

Let

x = original price of the item

Mai buys one item and saves $13,

This means 20% of the original price of the item = $13

20% of x = 13

20/100 * x = 13

0.2 * x = 13

0.2x = 13

Divide both sides by 0.2

x = 13 / 0.2

= 65

x = $65

Therefore, the original price of the item is $65

2 The perimeter of a square is given as 12x + 20. Write two different expressions to
represent its perimeter. Use factoring for one way.

Answers

Answer:

The two expressions are;

4(3x + 5)

and

(6x + 10) + (6x + 10)

Step-by-step explanation:

Here, we want to write two different expressions to represent the perimeter of the square

The perimeter is given as 12x + 20

Using factoring, we can have this as;

4(3x + 5)

Otherwise, we can have

(6x + 10) + (6x + 10)

If Lily got 18 questions right on a 20 questions
test, what percentage of the questions did she
get wrong?

Answers

Answer:

She got 10% of the questions wrong !

Step-by-step explanation:

To solve this problem I used cross multiplication

[tex]\frac{x}{100}= \frac{18}{20}[/tex]

18 x 100 =1800

1800 / 20 = 90

Since they are asking what she got wrong, not what she got right, you just need to subtract.

100% - 90% = 10%

hope this helped !

Answer:

10%

Step-by-step explanation:

18/20 Questions = 0.9 or 90% she got right

2/20 Questions = 0.1 or 10% she got wrong

A weather station on the top of a mountain reports that the temperature is currently and has
been falling at a constant rate of per hour. Find each temperature. Explain or show your
reasoning.

What was the temperature?

D. An hour ago?
E. 3 hours ago?
F. 4.5 hours ago?

Answers

Answer:

1 hour ago-0*C3

hours ago-(-3*C)

4.5 hours ago- (-9*C

Sandy receives a $50000 salary for working as an engineer. If Sandy spends 60% of her
salary on expenses each year, then how much money does Sandy have to spend on
expenses? Round your answer to the nearest whole number.

Answers

Answer:

Step-by-step explanation:

50,000 * 60%= 30,000

If Sandy receives a $50000 salary for working as an engineer. If Sandy spends 60% of her salary on expenses each year, then Sandy spends $30,000 on expenses.

What is the percentage?

It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.

Given that, Engineer Sandy earns a salary of $50000 per year. If Sandy spends each year 60% of her income on expenses,

We have to find the amount Sandy has to spend on expenses,

The usage of percentages is widespread and diverse. For instance, numerous data in the media, bank interest rates, retail discounts, and inflation rates are all reported as percentages. For comprehending the financial elements of daily life, percentages are crucial.

The amount spend on the expenses is,

Expenses = 60% of the salary

Expenses =60/100 × $50000

Expenses = 30,000

Thus, if Sandy receives a $50000 salary for working as an engineer. If Sandy spends 60% of her salary on expenses each year, then Sandy spends $30,000 on expenses.

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Does 80/100 equal -8

Answers

Answer:

No.

Step-by-step explanation:

80/100 equals 0.8

What is the factored form of the binomial expansion 81x2 + 144xy + 64y2?

(9x – 8y)2
(9x + 8y)2
(3x – 4y)2
(3x + 4y)2

Answers

(9x+8y)^2 =(9x)^2+2x(9x)x(8y)+(8y)^2

does anyone know the answer ? and if you do can you explain how to do it ?

Answers

Answer: I think its answer choice b

Step-by-step explanation:

You're dividing so you would be subtracting the exponents

Which lists all of the x-ontercept of the graphed function 0,6

Answers

Answer:

The answer is C, because those are the points that cross the x-axis.

Step-by-step explanation:

Answer: C

Step-by-step explanation:

When you look at the graph, you can see that all the points are listed where they should be

In the diagram below, what is the equation that represents the relationship between the number of triangles and the perimeter of the figure they form? Use this table to help you create an equation.

Answers

Answer:

The perimeter of the figure as a function of the number of triangles is [tex]y = 6 + 4\cdot x[/tex].

Step-by-step explanation:

According to the diagram, we get the following facts:

i) For one triangle ([tex]x=1[/tex]), the total perimeter is ([tex]y=2\cdot 3 + 1\cdot 4 = 10[/tex]).

ii) For two triangles ([tex]x = 2[/tex]), the total perimeter is ([tex]y = 2\cdot 3 +2\cdot 4 = 14[/tex])

iii) For three triangles ([tex]x = 3[/tex]), the total perimeter is ([tex]y = 2\cdot 3 +3\cdot 4 = 18[/tex])

iv) For four triangles ([tex]x = 4[/tex]), the total perimeter is ([tex]y = 2\cdot 3 +4\cdot 4 = 22[/tex])

From these information we conclude that the equation that determines the perimeter of the figure as a function of the number of triangles is [tex]y = 6 + 4\cdot x[/tex].

What is the greatest common factor of 14, 51 ,21

Answers

Answer:

The answer is 1

Step-by-step explanation:

14 = 2 × 7

51 = 3 × 17

21 = 3 × 7

Please help!
Rewrite the rational exponent as a radical. (2 points)

Answers

Answer:

Answer: 3) [tex]\sqrt{5}[/tex]

Step-by-step explanation:

Radical Form and Exponent Form

A radical can be expressed as a rational exponent following the identity:

[tex]\displaystyle \sqrt[m]{x^n}=x^\frac{n}{m}[/tex]

We should also recall that:

[tex](x^n)^m=x^{nm}[/tex]

We are given the expression:

[tex]\displaystyle \left(5^{\frac{3}{4}}\right)^\frac{2}{3}[/tex]

Applying the power of power:

[tex]\displaystyle \left(5^{\frac{3}{4}}\right)^\frac{2}{3}=\left(5^{\frac{3}{4}\cdot \frac{2}{3}}\right)[/tex]

Simplifying:

[tex]\displaystyle \left(5^{\frac{3}{4}}\right)^\frac{2}{3}=5^{\frac{1}{2}}[/tex]

Converting to radical form:

[tex]\displaystyle \left(5^{\frac{3}{4}}\right)^\frac{2}{3}=\sqrt{5}[/tex]

Answer: 3) [tex]\sqrt{5}[/tex]

Which set of points represents a function? { ( 1 , − 2 ) , ( 3 , − 5 ) , ( 3 , − 2 ) , ( 5 , − 7 ) , ( 7 , − 8 ) } { ( 1 , − 2 ) , ( 3 , − 5 ) , ( 3 , − 2 ) , ( 5 , − 7 ) , ( 7 , − 8 ) } { ( 0 , 1 ) , ( 1 , − 3 ) , ( 2 , − 5 ) , ( 3 , − 7 ) , ( 4 , − 9 ) } { ( 0 , 1 ) , ( 1 , − 3 ) , ( 2 , − 5 ) , ( 3 , − 7 ) , ( 4 , − 9 ) } { ( − 1 , 1 ) , ( − 1 , 3 ) , ( − 1 , 5 ) , ( − 1 , 7 ) , ( − 1 , 9 ) } { ( − 1 , 1 ) , ( − 1 , 3 ) , ( − 1 , 5 ) , ( − 1 , 7 ) , ( − 1 , 9 ) } { ( − 4 , 0 ) , ( − 3 , − 1 ) , ( − 3 , 1 ) , ( 0 , − 2 ) , ( 0 , 2 ) } { ( − 4 , 0 ) , ( − 3 , − 1 ) , ( − 3 , 1 ) , ( 0 , − 2 ) , ( 0 , 2 ) }

Answers

Given:

The set of points.

To find:

Which set of points represents a function?

Solution:

A set of points represents a function if there exist a unique y-value for each x-value.

It option A, the set of points is

{(1,-2), (3,-5), (3,-2), (5,-7), (7, -8)}

This is not a function because there exist two y-values y=-5 and y=-2 for x=3.

It option B, the set of points is

{(0,1),(1,−3),(2,−5),(3,−7),(4,−9)}

This is a function because there exist a unique y-value for each x-value.

It option C, the set of points is

{(−1,1),(−1,3),(−1,5),(−1,7),(−1,9)}

This is not a function because there exist five y-values y=1,3,5,7,9 for x=-1.

It option D, the set of points is

{(−4,0),(−3,−1),(−3,1),(0,−2),(0,2)}

This is not a function because there exist two y-values y=-1 and y=1 for x=-3.

Therefore, the correct option is B.

Answer:

problem ...

Which of the following sets represents a function?

{(3, 5), (-1, 7), (3, 9)

{(1, 2), (3, 2), (5, 7)}

{(1, 2), (1, 4), (1, 6)}

Step-by-step explanation:i think is

{(1, 2), (3, 2), (5, 7)}

The town of Paxton has a population of 4.81 × 104 residents. The town of Oakville has twice the number of residents than Paxton. Which values represent the number of residents for the town of Oakville? Select all the values that apply
.A.9.62 × 10^8
B.4.81 × 10^6
C.9.62 × 10 ^4
D.4.81 × 10^8
E.4,810,000
F.96,200


plz help

Answers

Answer: A,F

Step-by-step explanation:

Mrs. Booker's meal at Chick-fil-A costs $16.78.
The tax on the meal is 6%. How much was her
total bill, including tax?

Answers

Answer:

17.79

Step-by-step explanation:

16.78*1.06=17.886

You are given an expression for the volume of the rectangular prism. Determine an expression for the missing dimension.
V equal 4 x to the power of 3 plus 5 x to the power of 2 minus 32 x minus 33 and the dimensions are ( x + 1 ) and ( x + 3 ) .

Answers

Given:

The volume of the rectangular prism is

[tex]V=4x^3+5x^2-32x-33[/tex]

Two dimensions are (x+1) and (x+3).

To find:

The missing dimension.

Solution:

We know that, volume of a rectangular prism is

[tex]V=length\times breadth\times height[/tex]

It means, volume of a rectangular prism is the product of all dimensions.

We have,

[tex]V=4x^3+5x^2-32x-33[/tex]

Splitting the middle terms, we get

[tex]V=4x^3+4x^2+x^2+x-33x-33[/tex]

[tex]V=4x^2(x+1)+x(x+1)-33(x+1)[/tex]

[tex]V=(x+1)(4x^2+x-33)[/tex]

Splitting the middle term, we get

[tex]V=(x+1)(4x^2+12x-11x-33)[/tex]

[tex]V=(x+1)(4x(x+3)-11(x+3))[/tex]

[tex]V=(x+1)(x+3)(4x-11)[/tex]

So, the three dimensions of the rectangular prism are (x+1), (x+3) and (4x-11).

Therefore, the missing dimension is (4x-11).

Answer:

the missing dimension is (4x-11).

Simplify each expression by combining like terms.
1) 11x + 9x
2) 8y - 7y
3) 5t - 7t
4) -n + 4n
5) 5w^2 + 12w^2

Answers

1.) 20x
2.) 1y
3.)-2t
4.)3n
5.)17w^2

raised the points, please please help me out

Answers

Answer:

Where is the question?

. A honeybee leaves the hive, traveling at a speed of 4 mph and returns 1 hour later. What was the distance traveled and the displacement of the honeybee in miles?

Answers

Answer:

4miles

Step-by-step explanation:

Step one:

given

speed, v= 4mph

time taken t=1 hour

The velocity is defined and the rate of change of displacement

Required:

Distance traveled

we know that the expression relating distance, velocity and time is

velocity= distance/time

distance= velocity* time

substitute we have

Distance=4*1

Distance= 4miles

The distance traveled and the displacement of the honeybee in miles  4miles

what’s 8.43 x 10^7 in standard form?

Answers

Answer: 84,300,000
Simply move the decimal place to the right 7 places

In the diagram shown, ZFEH is a right angle. If mZHEG = 41° then which statement below is true? ​

Answers

Answer:

uuuuuuuuuuuuuu

Step-by-step explanation:

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