what two numbers' sum=-4 and product=-2

Answers

Answer 1

Let a and b be the two numbers. Then

a + b = -4

a b = -2

Solve the second equation for b :

b = -2/a

Substitute this into the first equation:

a - 2/a = -4

Multiply both sides by a :

a² - 2 = -4a

Move 4a to the left side:

a² + 4a - 2 = 0

Use the quadratic formula to solve for a :

a = (-4 ± √(4² - 4(-2))) / 2

a = -2 ± √6

If a = -2 + √6, then

-2 + √6 + b = -4

b = -2 - √6

In the other case, we end up with the same numbers, but a and b are swapped.


Related Questions

in the expression 15- the sum of 6 and. 7 do you add or subtract first

Answers

Answer:

Add

Step-by-step explanation:

By the way this question was worded, I'm going to say add. If I were to write the expression out, I personally would write it like this:

[tex]15-(6+7)[/tex]

And parentheses always occur first.

Hope this helps!

Factor the following by completing the square w^4-22w^2+9

Answers

Answer:

(w² - 4w - 3) (w² + 4w - 3)

Step-by-step explanation:

w² + 4w³ - 3w² -4w³ - 16w² + 12w-3w² - 12w + 9

which expression can be written as 5x(2+7)

Answers

Answer:

Step-by-step explanation:

5x(2+7)

10x+35x

45x

There are no choices. But above is the answer if I need to solve it.

Answer: -25x

HOPE THIS HELPS

What is the 5th term of an arithmetic sequence of 20 terms with first and last terms of 2 and 59, respectively

Answers

Answer:

14

Step-by-step explanation:

aₙ = a₁ + (n-1)*d

59 = 2 + (20-1) * d

59 = 2 + 19d

19d = 59-2 = 57

d = 3

5th term: a₅ = 2 + 4 * 3 = 14

Answer:

14

Step-by-step explanation:

Please help me solve these problems! I'll give you all my brain points. IM DESPERATE!!!
:-;

Answers

Answer: kg

Step-by-step explanation:

James calculated the height of a cylinder that has a volume of 324 pi cubic inches and a radius of 12 inches. His work is shown below. V = B h Step 1: 324 pi = pi 12 squared h Step 2: 324 pi = 24 pi h Step 3: StartFraction 324 pi over 24 pi EndFraction = StartFraction 24 pi over 24 pi EndFraction h Step 4: h = 13.5 pi inches What is the first error that James made when calculating the height of the cylinder? In step 1, he substituted into the volume formula incorrectly. In step 2, he calculated 12 squared incorrectly. It should be 144 rather than 24. In step 4, the Pi should have canceled, making the correct answer 13.5 cm. James calculated the height of the cylinder correctly.

Answers

Answer:

I believe the answer is B let me know if it's wrong

Answer:

(B) In step 2, he calculated 12 squared incorrectly. It should be 144 rather than 24.

Round 7.284 to the nearest thousandth.

Answers

Answer:

7.28

Step-by-step explanation.

4 is rounded down to 80 and if you just take away the 0 in 80 its 8.

Answer:

it already is

Step-by-step explanation:

.2 is the tenth .28 is the hundredth and .284 id the thousandth. there arent any more decimals after that thousandth so you cant round up or down

4a I do not understand the process

Answers

Answer:

9/40

Step-by-step explanation:

He needs 5/8, he already has 2/5, so still needed is 5/8-2/5.

To add or subtract fractions, the denominators must be equal.

Simplest approach is to multiply them. 8 times 5 is 40, so 40 is the new denominator we need for both fractions.

So first we convert 5/8 to 25/40.

Then we convert 2/5 to 16/40.

Now we can subtract them:

25/40 - 16/40 = 9/40.

9/40 cannot be simplified so this is the final answer.

There are some basic rules you need to know to work with fractions. If above work is too fast, comment below for deeper explanation.

The answer is 9/40.

All you need to do is subtract 5/8 - 2/5 and to do that, you would need a common denominator. So just,

5 2
— —
8 5

Multiply the two bottoms to get 40 and do the same thing with the top that you did with the bottom so....

5 x 5 = 25
— —
8 x 5 = 40

2 x 8 = 16
— —
5 x 8 = 40

Subtract 25 - 16 = 9 and keep the denominator the same so 9/40 is your answer.

what is the equation of this graph?

Answers

Answer:

C. x=4

Step-by-step explanation:

In this graph the x value never changes, it is always equal to four. In this line the slope is undefined and there is no y-intercept. For all straight vertical lines, the equation will be x equals to whatever x value it is.

help meeeeeeeeeee its limited

Answers

Answer:

2 2/4

Step-by-step explanation:

add the buttons greater then 1 and it will be 2 2/4

Please help me with this

Answers

Answer:

A

Step-by-step explanation:

what is the greatest common factor between 20 and 25

Answers

Answer:

5

Step-by-step explanation:

Pleaseeeee answer correctly !!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!

Answers

Answer:

45 miles

Step-by-step explanation:

Use the Pythagorean Theorem. Imagine a line connecting the ends of the right angle you made by driving. It would make a right triangle. You are trying to find the hypotenuse. Use the formula [tex]a^{2} +b^{2} =c^{2}[/tex]. Square 27, or multiply 27 by 27, to get 729. Add this to the square of 36, 1296. So [tex]c^{2}[/tex] = 2025. Find the square root of 2025. [tex]\sqrt{2025}[/tex] = 45. Hope this helped ^^

Rob was driving his car slowly and then increased its speed by 40.5 miles per hour to reach a top speed of 60 miles per hour. What was his car's initial speed?​

Answers

Answer:

19.5

Step-by-step explanation:

60 - 40.5 = 19.5.

A total of 402 tickets were sold for the school play. They were either adult tickets or student tickets. The number of student tickets sold was two times the number of adult tickets sold. How many adult tickets were sold?

Answers

Answer:

134 adult tickets were sold adt tye school play.

Step-by-step explanation:

total tickets = adult + student tickets

total tickets= (2×adult tickets)+adult tickets

total tickets = 3× adult tickets.

402=3×adult tickets.

402÷3=adult tickets

134=adult tickets

The number of people call 911 on March 25th?
A) continuous
B) discrete
C) categorical

Answers

Answer:

I think the answer is continuous hope this helps

Step-by-step explanation:

Also got subscribe to my YT channel BlxeVxbes

A quantity with an initial value of 120 decays exponentially at a rate of 9.5% every 7
hours. What is the value of the quantity after 3.25 days, to the nearest hundredth?

Answers

Answer:

39.46

Step-by-step explanation:

Estimate and then solve 8,784 ÷ 61 = ___. answers: 133 134 143 144 I WILL MARK U BRAINLEIST IF ITS RIGHT​

Answers

Answer:

The answer is 144

Step-by-step explanation:

Answer:

Ummm...

8,784/61=

144, D ??

Is this true or false? The following graph represents a proportional relationship
A. True
B. False

Answers

Answer:

True

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

What happens to the graph of f(x) when it is multiplied
by a number between - 1 and 0?

Answers

It’s dilated so it gets smaller sorry if this isn’t right lol

Find The Angle (See Image)

Answers

Answer:

do you how many there is 5 angles if thats what ur asking

Step-by-step explanation:


16. Keisha has a bag that contains 3 red, 2 orange, 1 yellow, and 2 purple marbles. She will
randomly choose 1 marble from the bag. What is the probability that Kelsha will choose
an orange marble?
O.
3
8
2
-bh
1
0
8
o
0
1
4
2

Answers

Answer:

1/4

Step-by-step explanation:

you add 3+2=5+2=7+1=8 which is the total amount 8. Then the question is asking What is the probability that Kelsha will choose

an orange marble then the orange marble is 2 which is 2/8. Then simplify 2/8 get to 1/4.

I WILL GIVE BRAINLEST

Angela has 5 fewer quarters than twice the number of her dimes. If d represents
the number of dimes Angela has, which expression represents the total number of
Angela’s quarters and dimes


PLSSS SHOW YOUR WORK PLSSSSSS

Answers

Answer:

2d-5=Q ?

Step-by-step explanation:

Am I supposed to be representing quarters too? I think this should solve it though. Lmk if somethings wrong :)

A family restaurant chain wants to test the market for a new menu item: a grilled chicken sandwich with chipotle salsa. They are interested in both how to market the item and the right price to charge for it. They decide to offer the sandwich at 60 different restaurants in the chain, using two different descriptions on the menu. Half the restaurants' menus will emphasize "healthy eating" and half will emphasize "value." These two groups of restaurants will be further divided in three groups, each charging either a High, Medium, or Low price for the sandwich. After a month, they will measure what proportion of customers order the new sandwich.

Answers

Answer:

Experimental units, factors & treatments in experiment.

Step-by-step explanation:

Experimental Units are the 60 restaurants.

Factors are the : Menu description & price

Treatments in experimental design : Healthy Low Price, Healthy Medium Price, Healthy High price & Value low price, Value medium price, Value high price.

I need help with number 21 please help!!!

Answers

Answer:

This is not a direct variation.

Step-by-step explanation:

Direct variation:

mathematical relationship between two variables that can be expressed by an equation in which one variable is equal to a constant times the other.

(y varies directly with x with a constant variation of k)

[tex]y=kx;\ k\neq0[/tex]

[tex]y=kx\qquad|\text{divide both sides by}\ x\\\\\dfrac{y}{x}=k\Rightarrow \dfrac{y}{x}=constant[/tex]

[tex]21.\\\\x=y+2\qquad|\text{subtract 2 from both sides}\\\\x-2=y\qquad|\text{divide both sides by}\ x\\\\1-\dfrac{2}{x}=\dfrac{y}{x}\ro\dfrac{y}{x}=1-\dfrac{2}{x}\neq constant[/tex]

geometry help please :)

Answers

Answer:

If this is looking at the line In the center then F.

Step-by-step explanation:

The line in the center is the Niscetor of the line segment AC

JK has endpoints located at J(15, - 13) and K(-9, 27). What are the coordinates of the midpoint of JK?

Answers

Answer:

[tex](3,7)[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Midpoint Formula: [tex](\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]

Step-by-step explanation:

Step 1: Define

Point J (15, -13)

Point K (-9, 27)

Step 2: Find Midpoint

Simply plug in your coordinates into the midpoint formula to find midpoint.

Substitute [MP]:                    [tex](\frac{15-9}{2},\frac{-13+27}{2})[/tex]Subtract/Add:                       [tex](\frac{6}{2},\frac{14}{2})[/tex]Divide:                                   [tex](3,7)[/tex]

Simplify 81 to the negative 3 fourths power. (1 point)

Question 8 options:

1)

−27

2)

negative 1 over 27

3)

27

4)

1 over 27

Answers

Answer:

negative 1 over 27

Step-by-step explanation:

81 * negative 1 over 27 = -3

Answer:

[tex] \dfrac{1}{27} [/tex]

Step-by-step explanation:

[tex] 81^{-\frac{3}{4}} = [/tex]

[tex] = \dfrac{1}{81^{\frac{3}{4}}} [/tex]

[tex] = \dfrac{1}{(\sqrt[4]{81})^3} [/tex]

[tex] = \dfrac{1}{(3)^3} [/tex]

[tex] = \dfrac{1}{27} [/tex]

81-1 1/5 x < 55
please help i need help fast

Answers

Step-by-step explanation:

81 - 1.2x < 55

81 < 55 + 1.2x (add 1.2x to both sides)

1.2x > 26 (subtract 55 from both sides)

x > 21 2/3.

12. Four shovels of sand are used for every 5 shovels of gravel in making concrete.
How much gravel is needed for 64 shovels of sand?

Answers

Answer:

80

Step-by-step explanation:

64s : Xg

4s.Xg = 5g.64s

X = (5g*64s)/4sg

= 5*64/4

= 5*16

= 80

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