Helppppppppp meeeeee

Answer:

X=10

X=-8

Step-by-step explanation:

(x+1)*(x-3)=77

x²-3x+x-3=77

x²-2x-3=77

x²-2x-3-77=0

x²-2x-80=0

(x-10)*(x+8)=0

x-10 = 0

x=10

x+8=0

X=-8

The two possible numbers that satisfy the given equation model are -8 and 10.

A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

Given is the successor of a number, when multiplied by the number decreased by 3 units, 77 is obtained.

Assume the number to be [x]. Its successor would be [x + 1]. Then, we can write -

(x + 1)(x - 3) = 77

Refer to the graph attached. The [x] - intercepts the solution. We get -

x = - 8

x = 10

Therefore, the two possible numbers that satisfy the given equation model are -8 and 10.

To solve more questions on Equations, Equation Modelling and Expressions visit the link below -

brainly.com/question/14441381

#SPJ2

[Refer to question in english -

Find the number that meets the following condition: if its successor is multiplied by the number decreased by 3 units, 77 is obtained.]

[tex] - 6 {x}^{2} - x - 3[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

[tex]( - 2 {x}^{2} - 5x + 3) + ( - 4 {x}^{2} + 4x - 6) \\ \\ = - 2 {x}^{2} - 5x + 3 - 4 {x}^{2} + 4x - 6 \\ \\Combining \: the \: like \: terms, \: we \: have \: \\ \\ = - 2 {x}^{2} - 4 {x}^{2} - 5x + 4x + 3 - 6 \\ \\ = - 6 {x}^{2} - x - 3[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{♡}}}}}[/tex]

Answer:

-6x^2 - x - 3

Step-by-step explanation:

(-2x^2 -5x +3) + (-4x^2 + 4x -6)

open the brackets .Remember while opening the brackets signs also get multiplied .

=-2x^2 -5x +3 - 4x^2 + 4x -6

=-6x^2 -x -3

(minus * minus) sign=plus sign

(minus * plus) sign=minus sign

(plus * plus) sign=plus sign

(minus + minus) sign=plus

(plus + plus) sign=plus sign

Answer:

366

Step-by-step explanation:

A garden table and bench cost 816 when combined together

The garden table cost 84 less than the bench

Therefore the price of the bench can be calculated as follows

x + (x+84)= 816

2x+84= 816

2x= 816-84

2x= 732

Divide both sides by 2

x= 732/2

= 366

Hence the price of the bench is 366

Answer:

if its addition then it will be 79cm

Answer:

The answer is A.

Step-by-step explanation:

yes

Answer:

total 10th grades who are 15 years old would be 7 in the empty box

Step-by-step explanation:

2 plus 7 plus 10 is 19, simple math

Answer:

f>-2

Step-by-step explanation:

-5f+5<15

Isolate f

-5f<10

Isolate

-f<2

Because f is negative we have to flip the sign

f>-2

If this helps please mark as brainliest

Answer:

Step-by-step explanation:

Hope this helps u!!!

Answer:

we know that 8+6x=30+4x+2

2x=24

x=12

pls mark as brainliest

Answer:

Step-by-step explanation:

By applying the Exterior angle theorem.

[tex]\bf 30+4x+2+8+6x[/tex]

[tex]\bf 4x+30+2=8+6x[/tex]

[tex]\bf 4x+32=8+6x[/tex]

[tex]\bf 4x+32-32=8+6x-32[/tex]

[tex]\bf 4x=6x-24[/tex]

[tex]\bf 4x-6x=6x-24-6x[/tex]

[tex]\bf -2x=-24[/tex]

[tex]\bf \cfrac{-2x}{-2}=\cfrac{-24}{-2}[/tex]

[tex]\bf x=12[/tex]

Answer:

The second one is 3 and the third one is 8

Step-by-step explanation:

Just trust me

Answer:

Step-by-step explanation:

radius =diameter/2

=15/2

=7.5 mm

circumference=2πr

=2*3.14*7.5

=47.1 mm

The equation that can be used to determine the circumference of the DVD is π15.

The DVD has the shape of a circle. The circumference of a circle is the distance round the circle. The diameter of a circle is a straight line that touches two points on the circumference of a circle and also passes through the center.

The circumference of a circle = πD

Where:

d is the diameter

To learn more about how to determine the circumference of a circle, please check: https://brainly.com/question/14351152

Answer:

x=-3

Step-by-step explanation:

Answer: Natasha is 17 and Ravi is 25

Step-by-step explanation:

Let n = Natasha’s age and r = Ravi’s age

We can write an equation then substitute: 42=n+r

We know that Ravi is 8 years older than Natasha, so Ravi’s age is equal to n+8. We can substitute that in, so 42= n+(n+8)

Simplify:

42=n+(n+8)

42= 2n+8

42-8=2n+8-8 (subtract 8 from both sides to isolate n)

34=2n

34/2=2n/2 (divide both sides by two)

17=n

Natasha is 17, and Ravi is 8 years older. 17+8= 25, Ravi is 25. You can double check by adding 25 and 17 together, which brings you back to 42 :]

Answer:

8 times larger

Step-by-step explanation:

(15+10) is the singular equation alone. Muiltiply it by 8, and it's 8 times larger then the initial singular expression. Therefore, the answer is 8 times larger.

Answer:

The scale factor is 3 and the translation is (-8,2)

Step-by-step explanation:

(I'm not very good at translation/dilation but since you asked, I'm pretty sure this is the answer!)

Answer:

4(x+3)=3(x-12)

=4x + 12= 3x - 36

= 4x- 3x= -36 - 12

= x = -48

Answer:

x = 5

Step-by-step explanation:

Add the equations

x + y = 3

x - y = 7

––––––––

2x = 10

Divide both sides by2

x = 5

Note: for the equations in the question,

none of the given answers are correct.

Answer:

54+61

Step-by-step explanation:

54 + 61 = 115

61 - 54 = 7

Answer:

a. 1 fourth

b. 1 half

c. 1 whole

Answer:

The answer is most likely B..

Step-by-step explanation:

I do not know BUT I WANT TO KNOW

Answer:

B

Step-by-step explanation:

Just did the test

Hope I could help :)

Answer:

x = 15, y = 50

Step-by-step explanation:

8x + 12 and 2x + 18 are same- side interior angles and sum to 180° , then

2x + 18 + 8x + 12 = 180

10x + 30 = 180 ( subtract 30 from both sides )

10x = 150 ( divide both sides by 10 )

x = 15

Then

8x + 12 = 8(15) + 12 = 120 + 12 = 132

3y - 18 and 8x + 12 are vertical angles and are congruent, so

3y - 18 = 132 ( add 18 to both sides )

3y = 150 ( divide both sides by 3 )

y = 50

X = 15

Y = 50

(8x+12) + (2x+18) = 180 -- combine like terms

10x + 30 = 180 -- subtract 30 from both sides

-30 -30

10x = 150 -- divide by 10 on both sides

x = 15

and for y:

plug x into (8x+12)

8(15) + 12 = 3y - 18

120 + 12 = 3y - 18

132 = 3y - 18 -- add 18 to both sides

150 = 3y -- divide both sides by 3

y = 50

Answer:

The number is -1

Answer:

i

Step-by-step explanation:

Answer:

x = 98; y = 112

Step-by-step explanation:

Opposite angles of an quadrilateral inscribed in a circle are supplementary. That means that the sum of their measures is 180 deg.

x + 82 = 180

x = 98

y + 68 = 180

y = 112

Answer:

(10,6)

There are 10 sheep and 6 chickens.

Step-by-step explanation:

Let y represent the number of chickens.

Let x represent the number of sheep.

1) Form a system of equations

"There are 16 animals in total"

⇒ [tex]x+y=16[/tex]

"The number of chickens is 4 less than the number of sheep"

⇒ [tex]y=x-4[/tex]

2) Substitute equation 2 into equation 1

[tex]x+(x-4)=16[/tex]

Solve for x

[tex]x+x-4=16\\2x-4=16\\2x=16+4\\2x=20\\x=10[/tex]

Therefore, there are 10 sheep.

3) Solve for y

[tex]x+y=16\\10+y=16\\y=16-10\\y=6[/tex]

Therefore, there are 6 chickens.

The ordered pair (10,6) represents the number of chickens and sheep.

I hope this helps!

Answer:

m+n

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

0.20x only tells you 20% of the original gym size, not the increased size of the gym.

Answer:

Answer C can not be used to find the new size of the gym.

Step-by-step explanation:

Let's use process of elimination!

A is stating 1.20x, or 120% of x. This is correct, because we have x and then were increasing by 20%, which is just 120%. A is however not the answer because we are asking which expression below could not be used, and A could be used. B is also incorrect because of what I just stated, x + 0.20x is the same thing as 1.20x. C is 20% of x, but that won't get us the answer. C is the correct answer since it cannot be used to find the new size of the gym, but if you really want to you can check answer D as well. In answer D you can distribute the x to the 1 and the 0.20, and you get x + 0.20x, which is the same as answer B. Therefore C is the correct answer.

Answer:

3/8 π radians

Step-by-step explanation:

The Area of a sector when then central angle is in radians = 1/2r² θ

Where

θ = central angle = ?

r = 16 cm

Area of the sector = 48πcm²

Hence

Central angle = Area of a sector ÷ (1/2r²)

= 48πcm² ÷ (1/2 × 16²)

= 48πcm² ÷ 128

Central angle = 3/8π radians

Therefore, Central angle = 3/8π radians

Answer:

ok so we can divide 15 by 5 to get 3

so we know the building is 3 times bigger

so we multiply 3 by 3 to get 9

so the answer is D

Answer:

9

Step-by-step explanation:

Since the triangles are similar, we can use ratios to solve

Letting h be the height of the tower

15        h

-----  = ------

5           3

Using cross products

15*3 = 5h

Divide each side by 5

45/5 = 5h/5

9 = h