what are Two numbers that can add to 7 but multiply to -30​

Answers

Answer 1

[tex]x + y = 7~~~.....(i)\\\\xy=-30~~~~......(ii)\\\\\\\text{From (ii):}\\\\y= -\dfrac{30}x~~~~....(iii)\\\\\\\text{Substitute equation (iii) in equation (i):}\\\\\\x- \dfrac{30}x = 7\\\\\implies x^2 -30 = 7x\\\\\implies x^2 -7x -30 =0\\\\\implies x^2 -10x +3x -30 =0\\\\\implies x(x-10) +3(x-10) =0\\\\\implies (x+3)(x-10)=0\\\\\implies x = -3 ~~\text{or}~~ x=10\\\\\text{Substitute x = 10 in equation (iii):}\\\\\\y= -\dfrac{30}{10} =-3\\\\[/tex]

[tex]\text{Substitute x = -3 in equation (iii):}\\\\y = \dfrac{-30}{-3} =10\\\\\\\text{So, (x,y) =(10,-3) and (x,y)=(-3,10)}\\\\\\\text{Hence, the two numbers are}~ 10~ \text{and}~ -3.[/tex]


Related Questions

Divide. Then check using multiplication. The first one is done for you. Lesson 22 5.2 485 divided by 15.

Answers

Answer:

Its answer is 32.33

Step-by-step explanation:

Parallel, perpendicular, or neither
1. Y=x+6 and x- y=2
2. X-2y=8 and y=-2x+1

Answers

Answer:

1. parallel

2. perpendicular

Step-by-step explanation:

Determine the domain and range of the function f(x) = â€""|x| 2. The domain of the function is. The range of the function is.

Answers

The domain of the function f(x)  =  |x|² is the set of all real numbers (-∞ < x < ∞)

The range of the function f(x)  =  |x|² is the set of all real numbers greater than or equal to zero ( f(x) ≥ 0)

The given function is:

f(x)  =  |x|²

This can also be expressed as:

f(x) = x²

This is because the square operator cancels the effect of the absolute value

The function f(x) = x² is valid for all real values of x. Therefore, the domain of the function f(x) is -∞ < x < ∞

The range of the function f(x) is all positive real numbers. This is because the square of all numbers gives a positive number.

Range = f(x) ≥ 0

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Answer:

1. all the real numbers

2. all numbers less than or equal to 2.

Step-by-step explanation:

Rationalize the denominator 1/ (5-2√3)​

Answers

Explanation :-

At first, we have to multiply the numerator and the denominator and the denominator's inverse such that (a-b)(a+b) = a² - b² is formed in the denominator.

Denominator = 5-2√3Rationalizing factor = 5 + 2√3

[tex]\qquad[/tex]_________________________

[tex]\bf Multiplying\:by\:\: \purple{ \dfrac{5+\sqrt{3}}{5+\sqrt{3}}}\\[/tex]

[tex]\qquad[/tex][tex] \longrightarrow \bf \dfrac{1}{5 - 2\sqrt{3} } \times \dfrac{5 + 2\sqrt{3} }{5 + 2\sqrt{3} }\\ [/tex]

[tex]\qquad[/tex][tex]\longrightarrow \sf \dfrac{1(5 + 2\sqrt{3}) }{(5 - 2\sqrt{3})(5 + 2\sqrt{3}) } [/tex]

[tex]\qquad[/tex][tex]\longrightarrow \sf \dfrac{5 + 2\sqrt{3} }{ {(5)}^{2} - (2 \sqrt{3})^{2} } [/tex]

[tex]\qquad[/tex][tex] \longrightarrow \sf \dfrac{5 + 2 \sqrt{3} }{(5 \times 5) - (2 \times 2 \times \sqrt{3} \times \sqrt{3} )} [/tex]

[tex]\qquad[/tex][tex] \longrightarrow \sf \dfrac{5 + 2 \sqrt{3} }{(25) - (12)} [/tex]

[tex]\qquad[/tex][tex] \purple{ \longrightarrow \bf \dfrac{5 + 2 \sqrt{3} }{13} } [/tex]

[tex]\qquad[/tex]_________________________

Answer is 2/(5+√13)

Rationalize the denominator 1/ (5-2√3)

Determine if they are congruent. State how they are.

Answers

[tex]\huge \bf༆ Answer ༄[/tex]

The Correct choice is ~ D

[tex] \textsf{Not enough information }[/tex]

The given triangles are not congruent, because they they just have all their corresponding angles equal to one another, so we need more information ~

What is the common denominator of y StartFraction y minus 3 Over 3 EndFraction in the complex fraction y StartFraction y minus 3 Over 3 EndFraction divided by five-ninths StartFraction 2 Over 3 y EndFraction?.

Answers

The common denominator of the given expression is [tex]5y+6.[/tex]

Given expression,

[tex]\dfrac{y+\frac{y-3}{3} }{\frac{5}{9} +\frac{2}{3y} }[/tex].

We have to find the common denominator.

On solving the numerator and denominator of the  given expression,

[tex]\dfrac{y+\frac{y-3}{3} }{\frac{5}{9} +\frac{2}{3y} }= \dfrac{\frac{3y+y-3}{3} }{\frac{5y+6}{9y} }[/tex]

       [tex]= \dfrac{\frac{4y-3}{3} }{\frac{5y+6}{9y} }[/tex]

[tex]= \dfrac{4y-3}{3} \times\dfrac{9y}{5y+6}[/tex]

Or,[tex]\dfrac{y+\frac{y-3}{3} }{\frac{5}{9} +\frac{2}{3y} }= \dfrac{3y(4y-3)}{5y+6}[/tex]

Hence the common denominator of the above expression is given by [tex]5y+6.[/tex]

For more details follow the link:

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Answer:

Not A 3y(y – 3)

Not B y(y – 3)

it is either C 3Y or D 3

The perimeter of the figure below is 140 ft.
Find the length of the missing side.

Answers

Answer:

9.2 ft

Step-by-step explanation:

140 - 9.6 - 10.2*8 - 19.8*2 = 9.2

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what type of solution results in exactly one
x and one y value?

Answers

Answer:

An independent system of equations

WILL GIVE BRAINLIEST
IN a certain chemical the ratio of zinc to copper is 3 to 11 a jar of the chemical contains 385 grams of copper how many grams of zinc does it contain?

Answers

Answer:

105 grams

Step-by-step explanation:

385/11=35

35 times 3 is 105 grams

Answer:

35 grams

Step-by-step explanation:

3/11= x/385

11x= 385

x= 385/11

= 35 grams

For a field trip 20 students rode in cars and the rest filled 5 buses. How many students were in each bus if no more than 250 students went on the trip?

Answers

Answer:

46 bc 250 -20 =230 and 230÷5= 46

PLS HELP MEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE

Answers

Answer:

R=11cm, r=3cm

Step-by-step explanation:

π(R²-r²) = π(121-9) = 112π cm² = 35.63cm².

hope this helps you.

PLEASE SHOW ALL WORK AND DO CORRECTLY

For #8 , fill in the missing information for the following trapezoids. SHOW YOUR WORK to solve for the missing value.

8.
height = 19.8 cm
b1 = ________
b2 = 14.4 cm
area = 401.94 cm2

Answers

Answer:

26.2 cm

Step-by-step explanation:

Area = (b1 + b2)/2 * h

401.92 = (x + 14.4)/2 * 19.8

Divide each side by 19.8

20.2989 = (x + 14.4)/2

Multiply each side by 2

40.6 = x + 14.4

Subtract 14.4 from each side

x = 26.2

Answer:

116.82

Step-by-step explanation:

Since your trying to find a missing base

19.8 x 14.4= 285.12

   401.94-285.12=116.82

Hopes This Helps

Will give brainly,5 stars,and thank if it CORRECTLY PLEASE

Answers

Answer:

31.68

Step-by-step explanation:

1.4×9.15= 12.81

0.8×10.75= 8.6

2.6×3.95= 10.27

10.27+ 8.6+ 12.81= $31.68

Hope this helps!

Plz mark brainliest

Answer:

$31.68

Step-by-step explanation:

Multiply each by the correct number

almond= 1.4*9.15= 12.81

cashews= 10.75* 0.8= 8.6

Peanuts= 3.95 * 2.6= 10.27

Add them all up

12.81+8.6+10.27

you’ll get 31.68

What is the x-coordinate of the solution to the system of equations?
3x + 5y = 10
1x + 5y = 2

Answers

Answer:

x = 4

Step-by-step explanation:

Use elimination method.

-----------------

3x + 5y = 10

-(1x + 5y) = -1(2)

-1x -5y = -2

------Simiplify------

2x = 8

x = 4

The graph of y = f(x) is shown below. What are all of the real solutions of f(x) = 0?

Answers

x = -8, x = 7. It can also be put into coordinate form based off what the website is looking for.

But solutions to a quadratic equation is essentially where the line crosses the 'x' line.

What is the slope of the line

Answers

The slope of the line is 2

The formula for finding slope using two coordinate pairs is y-y
——-
x-x
In this case, the y values are 10 and 2, and the x values are 6 and 2. If we plug these into our formula the equation is 10-2
———
6-2
10-2 is 8 and 6-2 is 4. So 8 divided by 4 would equal 2

A potter can make 24 vases in 8 days. If the potter works 6 hours each day, how long does it take to make one vase?

Answers

Answer: 2
Explaintion/
24/8 =3
6/3=2

What is the value of x in the equation 2
(4x+)-(3x+2)- 8(9-x) = x

Answers

Answer:

open the bracket

(4X+)-3X-2-72+X=X

4X+(-3X)-74+X=X

X-74+X=X

2X-74=X

then collect the term

-74=X-2X

-74=-X

divide by negative every side then you get

X=74

Which expression is equivalent to 2-5?

A 1/5 x 1/5
B (-5)(-5)
C1/2x1/2x 1/2 x 1/2
D (-2)(-2)(-2)(-2)(-2)

Answers

Answer:

non of them are there any other answers

Step-by-step explanation:

2-5=-3

1/5*1/5=1/25

(-5)(-5)=25

1/2*1/2*1/2*1/2=1/16

(-2)(-2)(-2)(-2)(-2)=-32

56 is what percent of 80

Answers

Answer:

70%

Step-by-step explanation:

Therefore, we can conclude that the required percentage is 70% that is 70% of 80 is 56.

Hopes This Helps :)

K2. Calculate the total surface area of cuboids with the following dimensions (b) Length = 1.6 m, breadth = 80 cm, height = 120 cm​

Answers

Answer:

15360m3

Step-by-step explanation:

a=l*w*h

1.6m*80m*120m

=15360m3

Find all rational polynomials p(x) = x3 + ax2 + bx + c such that a, b, c are
roots of the equation p(x)=0

Answers

Answer:

p(x) = x³ +0x² +0x +0p(x) = x³ +x² -x -1p(x) = x³ -x² -2x

Step-by-step explanation:

If the roots of p(x) are a, b, c, then it factors as ...

  p(x) = (x -a)(x -b)(x -c)

and the expanded form is ...

  p(x) = x^3 -(a+b+c)x^2 +(ac +b(a+c))x -abc

The requirement that the coefficients match the roots means we have three equations in three unknowns:

  a = -(a+b+c)

  b = ac +b(a+c)

  c = -abc

The attachment shows the solutions to these equations. The solutions are found by making the substitutions ...

b = xc = ya = -(x+y)/2

This leaves us with two equations in two unknowns that can be graphed on a Cartesian plane. The graph of the second equation is a circle:

  x(1 -a -y) -ay = 0   ⇒   (x +1)^2 +y^2 = 1

The graph of the first equation is the union of the line y=0 and two hyperbolas. The points of intersection between this graph and the circle are ...

  (x, y) = (-2, 0), (-1, -1), (0, 0)   ⇒   (a, b, c) = (1, -2, 0), (1, -1, -1), (0, 0, 0)

The three polynomials that correspond to these values are shown above and in the attachment.

_____

Additional comment

There is an irrational fourth solution to the requirement that the roots match the coefficients.

if a line has slope -2/3 and passes through point (-3,7) what is the y intercept

Answers

Answer:  The y-intercept is 5.

Step-by-step explanation:

We can write what we know in the form of a slope intercept equation,

y=mx + b,

where m is the slope and b the y-intercept (the value of y when x=0).

We are given the slope:

y = -(2/3)x + b

We need a value of b that forces the line through the point (-3,7).  Enter the point and solve for b:

y = -(2/3)x + b

7 = -(2/3)*(-3) + b  for  (-3,7)

7 = 2 + b

b = 5

The equation becomes y = -(2/3)x + 5

The y-intercept is 5.

See attachment.

Find the product of 6b(2 over 3b).

20 over 3b
4b
23 over 3 b2
4b2

Answers

Answer:

c is my opinion

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

trust me.

−8x−10=4x+14 what’s x

Answers

Answer:

x=-2

Step-by-step explanation:

−8x−10=4x+14

-8x-4x=14+10

-12x=24

[tex]\frac{-12x}{-12} = \frac{24}{-12}[/tex]

x = -2

if you add two obtuse angles do they sometimes make supplamentary angles?

Answers

Answer:

No, they can NEVER make supplementary angles.

Step-by-step explanation:

Two angles are supplementary when they add to 180 degrees. Since two obtuse angles have their angles greater than 90 degrees, they can never be supplementary. Let's take the angles as 91 degrees (the lowest whole obtuse measure). 91 + 91 = 182, which is more than 180.

Therefore, the answer is no.

Answer:

Adding two obtuse angles can never make supplementary angles.

Step-by-step explanation:

An obtuse angle has a measure of greater than 90°, and less than 180°.  

Supplementary angles are two angles whose sum add up to 180°.

We must determine whether adding two obtuse angles can make them supplementary angles through the following example.

Example:

Suppose that we have two obtuse angles:

m ∠ 1 = 90.1°

m∠ 2 = 90.1°

Let us add these two obtuse angles together to determine whether their sum is at most 180°.

m ∠ 1 + m ∠ 2 = ?

90.1° + 90.1° = 180.2°

Since their sum is greater than 180°, then it means that they are not supplements.

Conclusion:

Adding two obtuse angles will have a sum of greater than 180°, thus making them invalid as supplementary angles.

Someone pls help me with these 4 questions pls asap for BRAINLIEST and 100 points

Answers

Answer:

5. (-1,-1)

6. (6,-9)

8. (1,2)

9. (-1,0)

Step-by-step explanation:

5. first you add -6 and 6 to cancel out the x and solve for y..once you have your y plug it back into the equation to find x

6. your going to subtract 7 and 8, and then 2 and 2 (this will cancel your ys). solve for x and then plug back in to solve for y.

7. plug -3x+5 into the second equation to find x then plug your x into the first equation to find y

8. same as above but with x then find y

0.00000327 what is the proper scientific notation of this number?

Answers

Answer:

3.27 x 10^-6

Step-by-step explanation:

Hope this helps

Kimi and Jordan are each working during the summer to earn money in addition to

their weekly allowance, and they are saving all of their money. Kimi earns $9 per hour

at her job, and her allowance is $8 each week. Jordan earns $7 per hour, and his

allowance is $16 each week.

Answers

Their earnings would be the same after 4 hours

Let the number of hours be x, and the weekly earning be y

So, the given parameters are:

Kimi

Earnings = $9 per hourWeekly allowance = $8

So, the equation for Kimi's weekly earning is:

[tex]y =9x + 8[/tex]

Jordan

Earnings = $7 per hourWeekly allowance = $16

So, the equation for Jordan's weekly earning is:

[tex]y = 7x + 16[/tex]

Equate both equations

[tex]7x + 16 = 9x + 8[/tex]

Collect like terms

[tex]9x - 7x = 16 - 8[/tex]

[tex]2x =8[/tex]

Divide both sides by 2

[tex]x =4[/tex]

Hence, their earnings would be the same after 4 hours

Read more about linear equations at:

https://brainly.com/question/13729904

This figure consists of a rectangle and semicircle.
What is the area of this figure?

Use 3.14 for π.
please help ASAP!

Answers

Answer:

46.28

Step-by-step explanation:

rectangle = 10×4 = 40 ft²

semicircle = 1/2×3.14×2×2 = 6.28 ft²

area of this figure is 40+6.28 = 46.28 ft²

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