Answers
Step-by-step explanation:
a= - 5 - b
Subs. the above into...
ab = - 24
(-5-b)b = - 24
Therefore b=-24 or b=19
Answer:
see explanation
Step-by-step explanation:
Given the 2 equations
a + b = - 5 → (1)
ab = - 24 → (2)
Rearranging (1) expressing a in terms of b, that is
a = - 5 - b → (3)
Substitute a = - 5 - b into (2)
b(- 5 - b) = - 24 ← distribute left side
- 5b - b² = - 24 ( subtract - 5b - b² from both sides )
0 = b² + 5b - 24 ← in standard form
0 = (b + 8)(b - 3) ← in factored form
Equate each factor to zero and solve for b
b + 8 = 0 ⇒ b = - 8
b - 3 = 0 ⇒ b = 3
Substitute these values into (3) for corresponding values of a
b = - 8 : a = - 5 - (- 8) = - 5 + 8 = 3
b = 3 : a = - 5 - 3 = - 8
Thus
a = 3, b= - 8 or a = - 8, b = 3
Related Questions
Estimate the number of softballs that would fill a 10 by 12 by 24 foot room? Diameter of softball is 3.5 inches. Use the formula of a sphere V = 4/3 (3.14)r^3 for the softball
Answers
Answer:
The number of softballs that would fill the room is 221796 softballs
Step-by-step explanation:
First we will determine the Volume of the room.
The volume of a room is given by
[tex]Volume = lwh[/tex]
From the question, the given dimension of the room is 10 by 12 by 24 foot
Hence the volume of the room = 10 × 12 × 24
= 2880 cubic feet (ft³)
Convert to cubic inches
To do this, multiply the answer in cubic feet by (12 × 12 × 12)
(NOTE: 1 foot = 12 inches)
Hence, 2880 cubic feet = 2880 × 12 × 12 × 12 cubic inches
= 4976640 cubic inches
This is the volume of the room.
To estimate the number of softballs that would fill the room, we will determine the number of softballs which would give a total volume that is equal to the volume of the room.
First, we will find the volume of one softball
Diameter of softball = 3.5 inches
∴ Radius of softball, r = 3.5/2 inches = 1.75 inches
∴ r = 1.75 inches
Now, for the volume of one softball
From,
V = 4/3 (3.14)r^3
[tex]V = \frac{4}{3}(3.14)r^{3}[/tex]
[tex]V = \frac{4}{3}(3.14)[/tex] × [tex]1.75^{3}[/tex]
[tex]V = 22.43791667[/tex] cubic inches
This is the volume of one softball
The number of softballs that would fill the room will be
= Volume of the room / Volume of one softball
= 4976640 cubic inches / 22.43791667 cubic inches
=221795.9926
≅221796
Hence, the number of softballs that would fill the room is 221796 softballs
0.22/m = 0.05/3.7 please could you answer
Answers
Answer:
16.28
Step-by-step explanation:
0.22/m=0.05/3.7
0.814/0.05=m
m=16.28
The temperature was -2F. Dropped 9F. What is the temperature after it dropped 9F
Answers
Answer:
________
-11
________
x^2-15x-108 Factoring need help
Answers
x=15-657/2=15-373/2=-5.316
x=15+657/2=15+373=20.316
Please put the answers for this worksheet in your answer! Thanks so much. Answers: 16-22. Picture Below
Answers
16. 18/8/25 = 458/25 = 18.32
17. No because it cannot be written as ratio of two numbers
18. 3/3/11 + 3.27 = 36/11 + 35.97/11
= 6/5/11
19. ( not able to answer)
20. Diameter of pizza. = 10.333333
Length of the pizza box = 10.38
10.38 > 10.33333
Therefore, the pizza box is big enough to fit the pizza inside
21. 110/147/168 = 110/49/56
22. 4/5 = 0.8
5/6 = 0.8333333..................
Therefore, the second and the fifth might be correct.
is the sequence "109,104,99,94", finite?
Answers
Answer:
NO.
Step-by-step explanation:
The common difference is -4 and you can continue to add -4 for ever!!
Joshua is keeping a record of the temperatures this week in December. The temperatures this week are shown below. What is the difference between the coldest temperature and warmest temperature that Joshua recorded
Answers
Answer:
Find the highest (8.9°C) temperature and subtract it by the lowest (-13.4°C)
8.9°C - (-13.4°C) = 22.3
The difference in temperature on the coldest and warmest day is 22.3°C
Every day, Kylie's orange juice stand uses 1/2 of a bag of oranges. How many days will
4 1/2 bags of oranges last?
Write your answer as a fraction or as a whole or mixed number.
days
Answers
Answer:
9 Days
Step-by-step explanation:
1/2x10=5
1/2x8=4
Logic tells you that 1/2x9=4 1/2
4 1/2 divided by 9= 1/2
So this answer is reasonable!!!
Please mark me brainlist!!! UwU
Find the modulus of the following. |9+40i|
Answers
Answer:
41Step-by-step explanation:
Given a complex number z = x+iy, the modulus of the complex number is expressed as |z| = √x²+y².
Given the complex number z = 9+40i
The modulus of the complex number z will be expressed as;
|z| = √9²+40²
|z| = √81+1600
|z| = √1681
|z| = 41
Hence the modulus of the complex number |9+40i| is 41. Note that a complex number will return a real value.
Answer:
|9+40i| = 41
|-10+24i| = 26
He should have used 13 instead of 13i.
Step-by-step explanation:
PLEASE MARK BRAINLIEST
Edge 2021
8k = 0 jsdfsiuefhwejbnmdshurefjnsfse
Answers
Answer:
k=0
Step-by-step explanation:
[tex]8k = 0 \\ k = \frac{0}{8} \\ k = 0[/tex]
Answer:
k = 0
Step-by-step explanation:
8k = 0
k = 0 Divide 8 to both sides
A music store sold 10^3 CDs and 10^2 CD players. If each CD costs $12 and each CD player costs $35, what was the store's total earnings? ( ^ means power )
Answers
If the product of p*q*r is an irrational number, and p is a rational number,
which of the following statement can be said about g andr
Only a can be irrational
Both q and must be irrational
Both qand may be irrational
may beration
Answers
Answer:
only q or r can be irrational
Step-by-step explanation:
Rational numbers are numbers that can be expressed in the form a/b, where both a and b are integers and b ≠ 0. The decimal representation of an rational numbers either repeats the sequence of digits over again or terminates at a finite number.
Irrational numbers are numbers that are not rational. The decimal representation of an irrational number does not repeat a sequence of digits over again and never terminates. e.g √2, π.
The product of two irrational numbers is a rational number, the product of two rational numbers is a rational number while the product of a rational and irrational number is an irrational number. Hence since in p*q*r is an irrational number and p is a rational number, If both q and r are irrational then:
q*r = irrational * irrational = rational
p*(q*r) = rational * rational = rational. Since the result is not an irrational number then both q and r cannot be irrational.
But, If either q and r are irrational then:
q*r = irrational * rational = rational * irrational = irrational
p*(q*r) = rational * irrational = irrational. Since the result is an irrational number then only q or r can be irrational
Answer:
1) Both q and r may be rational
2) r may be rational if q is irrational
Step-by-step explanation:
I did the quiz and got it right. Also I watched the video twice. You got this!!!!
If y varies directly with x and y = 26 when x = 8, write the equation that represents this direct
variation relationship,
Answers
Step-by-step explanation:
General equation for directly proportional variables: y = kx, where k is a real constant
When x = 8, y = 26.
Hence y = 26/8 x or y = 13/4 x.
The equation will be ; y = [tex]\frac{26}{8}[/tex] × x .
It is given that y varies directly with x and y = 26 when x = 8.
We have to find out an equation that represents this relationship.
What will be the 8 times of a number x ?
The number will 8 x.
The direct variation relationship equation will be ;
y = k × x
where ; k = a constant
Given ;
at x = 8 ; y = 26
so the value of k = 26 / 8
and the required equation will be ;
y = ([tex]\frac{26}{8}[/tex]) × x
Thus , the equation will be ; y = [tex]\frac{26}{8}[/tex] × x .
To learn more about algebraic expressions click here ;
https://brainly.com/question/2164351
#SPJ2
If | x + 4 | = 1, what value(s) could x have?
Answers
Answer:
-5 and -3 could both work in this situation
Step-by-step explanation
-5 + 4 = -1
| -1 | = 1
-3 + 4 = 1
| 1 | = 1
Convert 21.7 kilometers to centimeters.
Answers
Step-by-step explanation:
Notice that 1km = 1000m = 100000cm.
Therefore 21.7km = 2170000cm.
Answer:
2170000 cm
Step-by-step explanation:
21.7 k/m × 10³ × 10²
The least common multiple of 52,65 and 91 is what?
Answers
Christiana works at Texas Road House and makes $50 each night in tips plus $7.50 per hour. Write a function rule in function notation where M is the total money she makes and h is the number of hours she works in one night.
Answers
Answer:
[tex]M(h) = 7.50h + 50[/tex]
Step-by-step explanation:
Let's first get our variables straight. M is how much money you make each night, and h is the amount of hours she works.
This means that M will be what our function is equal to, aka the y-axis. h will be the x-axis.
We know that you earn a rate of $50 per night through tax, and your hours worked doesn't influence this in any way. That means there will be a constant on this function, +50.
We also know that you earn 7.50$ per hour, which is directly influenced by how many hours you work, so we will have [tex]7.50h[/tex].
Combining this all together, we get
[tex]M(h) = 7.50h + 50[/tex].
Hope this helped!
look at this shape : which image shows a rotation?
Answers
Answer:
Option C
Step-by-step explanation:
Math problem.. 16 points and brainly very easy problem
Answers
Answer:
can you type it so i can answer it, i cant see the picture
Step-by-step explanation:
Dinosaurs became extinct hundreds of millions of years ago. Scientists have been trying to determine the cause of the extinction. There have been many different claims about how dinosaurs disappeared.
Which best explains why there could be more than one claim about the disappearance of the dinosaurs?
All the claims can be validated through experimentation.
Data results can be interpreted in different ways.
Political groups have influence on what scientists say.
The different scientists are not experts in the field.
Answers
Answer:data results can be interpreted in different ways
Step-by-step explanation:
Answer:
C-Data results can be interpreted in different ways
Step-by-step explanation:
Edg. 2020
here's proof
3 · -8 + 5 - 4 ÷ 2= please help will mark as brainiest
Answers
Which symmetry is represented by the function f(x) = |x|?
Answers
Answer:
symmetry with respect to the y-axis
Step-by-step explanation:
f(x) = |x| has symmetry with respect to the y-axis. It looks like a V with the vertex at the origin.
The symmetry of the function [tex]f(x)=|x|[/tex] is represented by the y-axis.
The given function is [tex]f(x)=|x|[/tex].
The function can be defined as,
[tex]f(x)=x;\;\;x\geq0\\f(x)=-x;\;\;x<0[/tex]
The function will always give the positive value of y or f(x) for all values of x.
The graph of the function is in the shape of V which is symmetric about the y-axis.
See the attached image.
Therefore, the symmetry of the function [tex]f(x)=|x|[/tex] is represented by the y-axis.
For more details, refer to the link:
https://brainly.com/question/24757478
The reciprocal of a number is added to three.The result is the quotient of 25 and the number. Find the number
Answers
Answer:
8
Step-by-step explanation:
Let x represent the number. Then the reciprocal is 1/x. The quotient of 25 and the number is 25/x. The problem statement tells us ...
3 + 1/x = 25/x
Subtracting 1/x, we have ...
3 = 24/x
x = 24/3 = 8 . . . . . . . . multiply by x/3
The number is 8.
Maya has 120 cupcakes to sell. Each cupcake is covered with one topping. 1/5 of the cupcakes are covered with peanuts. 1/3 are covered with chocolate chips. 36 are covered with coconut. The rest are covered with sprinkles. How many cupcakes are covered with sprinkles?
Answers
Answer:
There are 20 cupcakes covered with sprinkles.
Step-by-step explanation:
To find the amount of cupcakes that are covered with sprinkles you would have to subtract the amount of cupcakes covered with peanuts, the ones covered with chocolate chips and the ones covered with coconut from the total amount of cupcakes:
Total amount of cupcakes=120
cupcakes covered with peanuts=1/5*120=24
cupcakes covered with chocolate chips=1/3*120=40
cupcakes covered with coconut=36
Now, you can subtract the different cupcakes from the total amount to find the quantity left that would be the ones covered with sprinkles:
cupcakes covered with sprinkles=120-24-40-36
cupcakes covered with sprinkles=20
According to this, the answer is that there are 20 cupcakes covered with sprinkles.
The right line is a 90° clockwise rotation of the left line about the origin. Click the 90° clockwise button. Are these lines the same? What does this mean about how a line changes when you rotate it?
Answers
Answer:
Step-by-step explanation:
From the graphs attached,
Let the coordinates of the two points given on the black line in the first graph are (-4, 2) and (-1, 10).
When these points have been rotated by 90° about the origin,
Rule for the rotation will be,
(x, y) → (y, -x)
Therefore, coordinates of the image points will be,
(-4, 2) → (2, 4)
(-1, 10) → (10, 1)
Therefore, red line given given in graph (1) and black line (After rotaion of 90° clockwise) in graph (2) will be same.
Answer:
yes they are the SAME.
Step-by-step explanation:
Picture above
Question above
Answers
Answer:
you will pay 274.75 at month 5 for both companies
company A: 42.95x+60.00
company B. 49.95x+25.00
Step-by-step explanation:
Answer:
after 5 months
Step-by-step explanation:
cost of company A =42.95 x +60 ( x for month)
cost of company B= 49.95 x +25
42.95 x +60=49.95 x+25
42.95x-49.95x=25-60
7x=35
x=35/7= 5 months
In five month the companies will pay the same total amount for each internetcheck :
company A: 42.95(5)+60=274.75
company B : 49.95(5)+25=274.75
if 2x+8=16, what is the value of x+4?
Answers
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{8}}}}}[/tex]
Step-by-step explanation:
First, finding the value of x
[tex] \sf{2x + 8 = 16}[/tex]
Move 8 to right hand side and change it's sign
[tex] \dashrightarrow{ \sf{2x = 16 - 8}}[/tex]
Subtract 8 from 16
[tex] \dashrightarrow{ \sf{2x = 8}}[/tex]
Divide both sides by 2
[tex] \dashrightarrow{ \sf{ \frac{2x}{2} = \frac{8}{2} }}[/tex]
Calculate
[tex] \dashrightarrow{ \sf{x = 4}}[/tex]
Value of x is 4
Now, Substituting / Replacing the value of x in order to find x+4
[tex] \sf{x + 4}[/tex]
plug the value of x
[tex] \dashrightarrow{ \sf{4 + 4}}[/tex]
Add the numbers : 4 and 4
[tex] \dashrightarrow{ \sf{8}}[/tex]
Hope I helped!
Best regards! :D
How to find the domain when given the range? Plz answer quickly. I have test on Friday. Plz just explain to me. I Just Need To Find DOMAIN when given the range.
Answers
Answer:
the domain represents all the x values and range represents all the y value
In a function y=mx+b ( linear equation), the problem is giving the y values so plug in the value of each (y) in the equation to get x.
example: the range is : { 2,4,6} find the domain in the function y=x+1
y=x+1 take value 2
2=x+1
x=1 when y=4 then x=3when y=6 then x=5the domain is { 1,3,5}this goes for linear equation
Math questions please! I need them now. As much as u can
Answers
Answer:
The first one
Step-by-step explanation:
It is the first one as it is just the original expanded.
It isn't the third on because the second bracket is technically - 1x-6 so it is positive.
2xa=-2a
2x-3=-6 etc.
Hope this helped!
Solve y = 4x + 8x for x
Answers
Answer:
[tex]\displaystyle x=\frac{y}{12}[/tex]
Step-by-step explanation:
We are given the equation:
[tex]y=4x+8x[/tex]
And we want to solve it for x.
We can combine like terms on the right-hand side:
[tex]y=12x[/tex]
We can now divide both sides by 12:
[tex]\displaystyle x=\frac{y}{12}[/tex]
In conclusion:
[tex]\displaystyle x=\frac{y}{12}[/tex]
Answer:
[tex]\Huge \boxed{ x=\frac{y}{12} }[/tex]
[tex]\rule[225]{225}{2}[/tex]
Step-by-step explanation:
[tex]y=4x+8x[/tex]
Combining like terms.
[tex]y=12x[/tex]
Dividing both sides by 12.
[tex]\displaystyle \frac{y}{12} =x[/tex]
[tex]\rule[225]{225}{2}[/tex]