The product of two numbers is 154. If the difference between the two numbers is 3. find the numbers​

Answer:

None of the options represent the right answer. (Real answer: [tex]y = 24\cdot x^{2}[/tex])

Step-by-step explanation:

The parabola shown above is vertical and least distance between focus and directrix is equal to [tex]2\cdot p[/tex]. Then, the value of p is determined with the help of the Pythagorean Theorem:

[tex]2\cdot p = \sqrt{(0-0)^{2}+[6-(-6)]^{2}}[/tex]

[tex]2\cdot p = 12[/tex]

[tex]p = 6[/tex]

The general equation of a parabola centered at (h,k) is:

[tex]y-k = 4\cdot p \cdot (x-h)^{2}[/tex]

It is evident that parabola is centered at origin. Hence, the equation of the parabola in standard form is:

[tex]y = 24\cdot x^{2}[/tex]

None of the options represent the right answer.

Answer:

  y equals 1 divided by 24 x squared  

Step-by-step explanation:

Just took the test

Answer:

-3x + 36

Step-by-step explanation:

The first step is to distribute the -3 to (x - 8), like so:

12 - 3(x - 8)

12 - 3x + 24

Add like terms (12 and 24):

12 + 24 = 36

-3x + 36

Answer:2(xy-7)= -20

Step-by-step explanation:

Plug in -1 for x and 3 for 3, as the question says that x and y represent those values.

2(xy-7) = ?

2((-1)(3) - 7) = ?

2(-3-7)=?

2(-10)

-20

2(xy - 7) = -20

The expresssion 2(xy - 7) = -20 , when x = -1 & y = 3

In mathematics, if two or more numbers or variables present with one or more mathematical operations, then the statement is called expression.

Example : 4x-3y+4, where x,y are variables, 3 & 4 are numbers and they are operated with addition and subtraction, so this is an expression.

Here, in the problem, x = -1 & y = 3

The given expression is 2(xy - 7) .....(1)

Now, we have to put the values of x & y in (1),

So, 2(xy - 7)

  = 2{(-1)(3)-7}

  = 2{-3-7}

  = 2×(-10)

  = -20

So, the value of the expression is -20

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Answer:

yes

Step-by-step explanation:

there is enough information

Answer:

D

Step-by-step explanation:

To find the discriminant you do b^2-4(a)(c), which in this case gives you -28. If your discriminant is less than zero, you will have no real roots.

Answer:

5 cups

Step-by-step explanation:

To get 1 cup of sugar, u must add 1/8 by 8. now you have one cup of sugar. But to find out how much flour u need, u also need to multiply 1 3/4 by 8, which gives u 5 cups

Answer:

14 cups of flour are needed for 1 cup of sugar.

Step-by-step explanation:

Use a ratio.

cups of flour : cups of sugar

               1 3/4 : 1/8

                     ? : 1

We know that you must multiply by 8 to get from 1/8 to 1. Now we have to do the same to the other side. So, multiply 1 3/4 by 8.

1 3/4 * 8 = 14

Therefore, 14 cups of flour are needed for 1 cup of sugar.

Tell me if this was helpful:)

Answer:

We have 6 cards.

9 of hearts

5 of spades

6 of hearts

2 of spades

4 of hearts

7 of hearts.

A is the event where Anwar selects an even numbered card.

B is the event where she choses a heart.

we have 3 even cards (and two of them are hearts)

we have 4 hearts (2 of them are even)

The probability of event A is Pa = 3/6 = 1/2

the probability of event B is = Pb = 4/6 = 2/3

The probability of event A and Event B is the number of heart cards with even numbers, that are 2 divided the total number of cards:

Paandb = 2/6 =  1/3

the probabilty of A if we know that B is true:

P(AIB) = 2/4 = 1/2 (this is because we have 4 hearts, and we know that 2 of those 4 cards are even)

the probability of B if we know that A is true:

P(BIA) = 2/3 (this is because we have 3 even cards, and 2 of them are hearts)

Answer:

A,B,C,E

Step-by-step explanation:

Khan.

TRUST ME!!!!!!!!!!!! THIS IS RIGHT!!!!!!!

Answer:

30 cm.

Step-by-step explanation:

Answer:

30 cm

Step-by-step explanation:

Perimeter is the outside measurement/ outline, add 10+10+5+5 which is all the sides together and you get your answer for perimeter

Answer:

4 weeks

Step-by-step explanation:

The number of weeks for a total of 16 quizzes will be 4 weeks.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

It is given that Jacob took a total of 12 quizzes over the course of 3 weeks. The number of weeks for 16 quizzes will be calculated as below:-

12 quizzes = 3 weeks.

1 quizzes = 3 / 12 weeks

16 quizzes = ( 3 / 12 ) x 16 = 4 weeks

Therefore, the number of weeks for a total of 16 quizzes will be 4 weeks.

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Answer:

it is true

Step-by-step explanation:

because a statistical question is a question that has more than one possible answer so it can have a variety of answers. in other words more than 1 answer.

hope this help :-)

Answer:

x = 1.5

Step-by-step explanation:

2x^2 = 3x

divide whole eqn by x

2x = 3

x= 3/2 =1.5

Answer:

x=2/3 or x=0

Step-by-step explanation:

1) Let's solve by factoring

since "x" is common in both 2x^2 and 3x let's take that out

first we have to bring "3x" to the left

so

2x^2-3x

next, factor of "x"

x(2x-3)=0

to solve, divide by x on both sides:

(2x-3)=0

add 3

2x=3

divide by 2

x=3/2

or x=0(since x(2x-3)=0, logically if x=0 then this equation would make sense)

Answer:

Feature 1- Statement A, Feature 2-Statement 2, Feature 3- Statement 1

Answer:

Step-by-step explanation:

Given the quadratic inequality x² - 8x + 15 <0, to get the solution set for the inequality, the following steps must be followed;

Step 1: Factorize the quadratic expression

x² - 8x + 15 <0

x² - 3x - 5x + 15 <0

x(x - 3) - 5(x - 3)  <0

(x -3)(x -5)< 0

x -3<0 and x -5<0

x< 3 and x< 5

Therefore, the solution set for the quadratic inequality are x<3 and x<5

Answer:

(3, 5)

Step-by-step explanation:

Correct on e2020

Answer:

The length of the diagonal is 13.90 inches

Step-by-step explanation:

This question can be remolded as calculating the length of the diagonal of a rectangle with dimensions 11 inches by 8.5 inches.

The diagonal refers to that length that runs from one inner edge of the rectangle to the other inner edge of the rectangle.

To calculate this length, we shall be making use of the Pythagoras’ theorem

Please check attachment for the kind of figure i’m trying to paint.

Let’s call the diagonal D

Using the Pythagoras’ theorem,

D^2 = 11^2 + 8.5^2

D^2 = 121 + 72.25

D^2 = 193.25

D = √193.25

D = 13.90 inches

Complete Question

Liz flips a coin 40 times. The coin lands heads up 28 times and tails up 12 times. Complete each  statement ​

(a)The theoretical probability of the coin landing heads up is___

(b)The experimental probability of the coin landing heads up is___

(c)The theoretical probability of the coin landing tails up is___

(b)The experimental probability of the coin landing tails up is___

(Type an integer or decimal)

Answer:

(a)0.5

(b)0.7

(c)0.5

(d)0.3

Step-by-step explanation:

When a coin is tossed, there are two outcomes: Heads or Tails

(a)Theoretical Probability of the Coin landing Heads up =1/2=0.5

(b)In the experiment, out of a total of 40 trials, the coin lands heads up 28 times.

Experimental Probability of the Coin landing Heads up =28/40=0.7

(c)Theoretical Probability of the Coin landing Tails up =1/2=0.5

(d)In the experiment, out of a total of 40 trials, the coin lands tails up 12 times.

Experimental Probability of the Coin landing Tails up =12/40=0.3

Answer:

[tex]g(x)=-\sqrt{x+3}+8[/tex]

Step-by-step explanation:

got it right

g(x) = - √x + 3 +8 has the same range.

The variety of a feature is described as a set of solutions to the equation for a given input. In different words, the range is the output or y fee of a characteristic. There is the most effective range for a given function.

The set which contains all the first elements of all the ordered pairs of relation R is known as the domain of the relation.

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Answer:

about 7 units

Step-by-step explanation:

10[tex]10^{2} + b^{2} = 12^{2} \\100+b^{2} = 144 \\144- 100= 44\\=\sqrt{44} \\= 6.6\\round \\=7[/tex]

Answer:

7 UNITS mwah <3<3<3<3<3<3<3

Answer:

Denote that line: y = ax + b

Line passes (-2, 7) and (2,-5):

=> -2a + b =7

=>  2a + b = -5

Add both side of above equations:

=> 2b = 2

=> b = 1

=> a = (-5 - 1)/2 = -3

=> Slope a = -3

Hope this helps!

:)

This question is based on the equation of line. Therefore, the slope of the line is -3 that passes through the points (-2, 7) and (2,-5).

Given:

Points are (-2, 7) and (2,-5).

We need to calculate the slope of the line that passes through the points (-2, 7) and (2,-5).

According to the question,

As we know that, equation of line: y = mx +c

It is given that, line passes through points, (-2, 7) and (2,-5).

Now, putting this points in equation of line: y = mx +c.

We get,

=> -2m + c =7                                   ...(1)

=> 2m + c = -5                                ...(2)

Now, adding and solving above two equations,

We get, c = 1

Then, putting  the value of b= 1 in equation (1).

We get, m = -3.

Therefore, the slope of the line is -3 that passes through the points (-2, 7) and (2,-5).

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Answer:

5pi

Step-by-step explanation:

Answer:

Using the Pythagorean theorem for isosceles right triangle, the length of  the hypotenuse is sqrt( 2 x 10^2) = ~14.1 in

Hope this helps!

:)

Answer:

x = 3 / 16

Step-by-step explanation:

Simplify first:

x - 1 / 16 = 1 / 8

x = 3 / 16

First represent your 6 consecutive integers as follows.

X ⇒ first integer

X + 1 ⇒ second integer

X + 2 ⇒ third integer

X + 3 ⇒ fourth integer

X + 4 ⇒ fifth integer

X + 5 ⇒ sixth integer

Since their sum is 597, our equation reads

x + (x + 1) + (x + 2) + (x + 3) + (x + 4) + (x + 5) = 597.

Simplifying on the left we get 6x + 15 = 597.

Now subtract 15 from both sides to get 6x = 582.

Now dividing both sides by 6, we find that x = 97.

So our first integer, x, is 97.

Our third integer would be x + 2 or 97 + 2 which is 99.

Answer: C. Outside the circle.

Step-by-step explanation:

To find whether point M lies on the circle, first derive the equation of the circle from the radius and center given.

Equation of a circle:

[tex](x-h)^2 + (y-k)^2=r^2[/tex]

Substitute the coordinates (0, 0) for h and k, and 2 times the square root of 3 for r:

[tex]x^2 + y^2 = 12[/tex]

Now, substitute the points (-3, 2) for x and y:

[tex]9 + 4 = 12[/tex]

This equation is incorrect, as the (x, y) coordinates produce a greater value than the radius of the circle squared. When this occurs, the point given is outside of the circle.

(A point like (1, 1), when substituted into the equation and solved to get 1 + 1 = 12, would be inside the circle, as its (x, y) coordinates produce a smaller value than the radius of the circle squared.)

As such, the correct answer is C.

Answer:

The value of k = -6

Step-by-step explanation:

First lets concentrate at the most obvious point, the top. Top(f) = ( 4, 1) and Top(g) = ( -2, 1).

The translation factor k ( which is called a vector ), which accounts for the trandlation of any point of f(x) --> g(x).

To translate the x coordinate of the top from 4 to -2, you have to subtract 6 of it.

Because 4 -6 = -2

Hence the factor k must be -6.

The value of k = -6

Answer:

Alejandra worked 8 hours and Qasim worked 5

Step-by-step explanation:

195/15 is 13. They worked 13 hours in total. 8 is 3 more than 5 and together they equal 13.

Answer:

78.5

Step-by-step explanation:

The area of a circle is given by

A = pi r^2

Where r is 5

A = pi 5^2

A = 25 pi

We can approximate pi by 3.14

A = 25*3.14

A =78.5

Answer:

78.5398163397

Step-by-step explanation:

pi times r squared

Answer:

<16 and <15 are supplementary

Step-by-step explanation:

Supplementary angles add to 180 degrees, which is a straight line

15 and 16 make a straight line

Answer:

-102

Step-by-step explanation:

Answer:

1 and 4

Step-by-step explanation:

Answer:

it reaches 24 ft

Step-by-step explanation:

16 + 8 ft = 24 ft

you would add the 16 to the 8 feet from the base to get 24