Answers
need 2 numbers when added = 5 and when multiplied = -24
answer is D
-3+8 = 5
-3*8 = -24
-24 = (+8) * (-3)
8 - 3 = 5
so
x^2 + 5x - 24 = (x + 8)(x - 3)
answer is
D.(x - 3)(x + 8)
Related Questions
The original value of the car is $18,000 and it depreciates by 50% each year what is the value of the car after three years
Answers
value = 18000*(1-0.50)^3 = 2250
value after 3 years = $2250
A=p (1-r)^t
A the value of the car after 3 years?
P current value 18000
R rate of depreciation 0.5
T time 3years
A=18,000×(1−0.5)^(3)
A=2,250
Joseph pays $20 for his base phone in addition to the $0.10 per text. Micki pays $10 for her phone plan plus the $0.15 per text. Write a function for Joesph's phone plan and for Micki's phone plan.
Provide the number of text messages in which the plans are the same plan.
Answers
m=10+0.15t
They wil cost the same when m=j so we can say:
10+0.15t=20+0.1t, subtract 0.1t from both sides
10+0.05t=20 subtract 10 from both sides
0.05t=10 divide both sides by 0.05
t=200
So when one texts 200 times, both plans cost the same amount.
By using the equations Cj = 20 + 0.10x for Joseph's phone cost and Cm = 10 + 0.15x for Micki's phone cost, we find their costs would both be the same if 200 text messages were sent.
Explanation:The question is asking us to create an equation for both Joseph's and Micki's texting plans. In mathematical terms, the cost for each plan would be represented by the equation Cost = base rate + (cost per letter)x, where x represents the number of texts.
So for Joseph, the equation would be Cj = 20 + 0.10x and for Micki the equation would be Cm = 10 + 0.15x.
To find out when both plans cost the same, we set the two equations equal to each other and solve for x.
20 + 0.10x = 10 + 0.15x
By subtracting 0.10x from both sides and then subtracting 10 from both sides we get:
x = 200.
This means that both plans would cost the same if both parties sent 200 texts.
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What is the length of diagonal ac in parallelogram ABCD if the diagonal BD = 10cm which is twice the diagonal AC?
Answers
The length of the diagonal AC in parallelogram ABCD is 5 cm.
Explanation:Given that the diagonal BD is twice the length of diagonal AC, we can represent the length of diagonal AC as x. So, the length of diagonal BD would be 2x. From the given information, we know that BD = 10 cm. Therefore, we can write the equation 2x = 10 to solve for x. Dividing both sides of the equation by 2 gives x = 5. So, the length of diagonal AC is 5 cm.
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In the given parallelogram, the length of the diagonal AC is 5 cm, given that the length of the diagonal BD is twice that of AC.
Explanation:The question pertains to the properties of a parallelogram. In this case, it has been provided that diagonal BD (10 cm) is twice the length of the other diagonal AC. This implies that the length of diagonal AC is half the length of BD. Therefore, to find the length of AC, take the length of BD and divide by 2:
AC = BD / 2 = 10 cm / 2 = 5 cm
So, the length of diagonal AC is 5 cm.
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Which property is demonstrated by this equation? 3 + 2x = 2x + 3
Answers
answer Commutative Property
The commutative property is demonstrated in your equation.
An example of this property could be: a+b = b+a or 23+15 = 15+23.
It is the result of changing the order of the operands without changing the result. (whether sum, difference, product, or quotient)
Hope this helps! (Don't forget Brainliest!) :)
A quadratic equation is shown below:
25x2 + 10x + 1 = 0
Part A: Describe the solution(s) to the equation by just determining the radicand. Show your work. (5 points)
Part B: Solve 4x2 − 4x + 1 = 0 by using an appropriate method. Show the steps of your work, and explain why you chose the method used. (5 points)
Answers
hello :
help :
the discriminat of each quadratic equation : ax²+bx+c=0 ....(a ≠ 0) is :
Δ = b² -4ac
1 ) Δ > 0 the equation has two reals solutions : x = (-b±√Δ)/2a
2 ) Δ = 0 : one solution : x = -b/2a
3 ) Δ < 0 : no reals solutions
Suppose a rectangular garden has a length of 3c + 15 feet and a width of 4c feet. write an expression for the area of the garden in square feet.
Answers
A = 4c(3c + 15)
A = 12c^2 + 60c <==
The area of the rectangle is given by the equation A = 12c² + 60c
What is the Area of a Rectangle?
The area of the rectangle is given by the product of the length of the rectangle and the width of the rectangle
Area of Rectangle = Length x Width
Given data ,
Let the area of the rectangle be represented as A
Now , the equation will be
Let the length of the rectangle L = ( 3c + 15 ) feet
Let the width of the rectangle W = 4c feet
Now , the area of the rectangle A = length of the rectangle L x width of the rectangle W
Substituting the values in the equation , we get
Area of Rectangle A = ( 3c + 15 ) ( 4c )
On simplifying the equation , we get
Area of Rectangle A = ( 3c ) ( 4c ) + 15 ( 4c )
Area of Rectangle A = 12c² + 60c
Therefore , the value of A is 12c² + 60c
Hence , the area of the rectangle is A = 12c² + 60c
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5x - 10y = 15 if 3x + 7y = 31
Answers
3x + 7y = 31
x - 2y = 3....multiply by -3
3x + 7y = 31
---------------
-3x + 6y = -9 (result of multiplying by -3)
3x + 7y = 31
---------------add
13y = 22
y = 22/13
x - 2y = 3
x - 2(22/13) = 3
x - 44/13 = 3
x = 3 + 44/13
x = 39/13 + 44/13
x = 83/13
solution is (83/13, 22/13) <=
15x-30y-15x-35y=45-155
-65y=-110
y=22/13, making 3x+7y=31 become
3x+154/13=31
39x+154=403
39x=249
x=83/13
So the solution to the system of equation is the point (83/13, 22/13)
at right is graph of this situation predict how the line would change to present the average cost of gas in dicember of 2005 when gas cost $2.20 per gallon on average
Answers
Increasing the slope of the graph increases the steepness of the line.
Therefore, increasing the average cost of gas from $1.50 to $2.20 will increases the steepness of the line. (i.e. the line becomes closer to the vertical line).
at maximum speed, an airplane travels 1680 miles against the wind in 5 hours. Flying with the wind, the plane can travel the same distance in 4 hours.
Answers
The speed of the airplane with the wind is 420 mph, and against the wind is 336 mph. The speed of the wind is 84 mph.
To find the speed of the wind, we use the following formulas:
Against the wind, the airplane travels 1680 miles in 5 hours. So, the speed against the wind is : [tex]\( S_a = 1680 \div 5 = 336 \)[/tex] mph
With the wind, the airplane travels the same distance of 1680 miles in 4 hours. So, the speed with the wind is: [tex]\( S_w = 1680 \div 4 = 420 \)[/tex]mph
Let W be the speed of the wind.
Against the wind: [tex]\( S_a = S_w - W \)[/tex]
[tex]\[ 336 = 420 - W \]\[ W = 420 - 336 = 84 \][/tex]
So, the speed of the wind is 84 mph.
.help me with this please thanks
Answers
They are not like terms because they are not all the same
If y varies directly with x and y = 10 when k = 10, what is the value of x?
Answers
y = k *x
y=10 ; k=10
10 = 10*x
x = 10/10 = 1
x =1
Determine the number of possible triangles, abc, that can be formed given c = 85°, a = 10, and c = 13.
Answers
a/sin A=c/sin C=d/sin D
thus the value of angle A will be:
10/sin A=13/sin 85
10/sin A=13.05
sin A=10/13.05
sin A=0.7663
A=arcsin 0.7663
A=50
thus the n=value of angle B will be:
B=180-(85+50)
=45
The triangle formed will be an acute triangle
What is the length of a square
Answers
D: region D helppppppppp
Answers
Draw a model to represent the problem 6/12 divided by 1/4
Answers
The expression 6/12 divided by 1/4 is 2 and the model is attached
Drawing a model to represent the problem
From the question, we have the following parameters that can be used in our computation:
6/12 divided by 1/4
This can be expressed as
6/12 multiplied by 4
So, we have
0.5 multiplied by 4
When the product is evaluated, we have
2
Hence. 6/12 divided by 1/4 is 2 and the model is attached
Two pools are being filled with water. To start, the first pool contains 2200
liters of water and the second pool contains 1840
liters of water. Water is being added to the first pool at a rate of 21.25
liters per minute. Water is being added to the second pool at a rate of 32.5
liters per minute.
(PLEASE ANSWER QUICK)
Answers
2200 + 21.25X = 1840 +32.50X
subtract 1840 from each side
360+ 21.25X= 32.50X
subtract 21.25x from each side
360=11.25X
x= 360/11.25 = 32 minutes pool will have the same amount
21.25*32 = 680+2200 = 2880 liters
32.5*32 = 1040 + 1840=2880 liters
it will take 32 minutes and they will have 2880 liters each
I need help with all of these
Answers
14. "Coplanar" -> "on the same plane" -> B,C,D,E
15. Planes are name by 3 non-colinear points --> Plane ACE
18. Two points -> G &F
A line -> Line GF
19. Plane T and Plane S
HELP!!!!
Use the following data set and a separate piece of paper to make a line plot that will help you to answer questions 2-7.
(6, 4, 4, 5, 1, 8, 10, 7, 8, 6, 6, 7, 5, 4, 6)
Add a box and whisker plot to the graph. Clearly mark the ends of box by drawing vertical lines and labeling their values on the horizontal axis. What are the ends of the box and whisker plot?
A. 1 and 6
B. 4 and 7
C. 4 and 8
D. 5 and 7
Answers
minimum = 1
Q1 = 4
Q2 (median) = 6
Q3 = 7
maximum = 10
The beginning and end of the " box " are Q1 and Q3.....4 and 7
Find the measure of each exterior angle of a regular polygon with 24 sides
Answers
The formula for finding the measure of each exterior angle of a regular polygon is similar to the formula for finding the measure of each interior angle. We take the sum of the measures of the exterior angles which is always 360 degrees and we divide this by the number of sides in the polygon which is n. So the formula for finding the measure of each exterior angle of a regular polygon is simply 360 over n. In this problem since the polygon has 24 sides, we simply plug a 24 in for n and we have 360 over 15. 360 divided by 24 is 15. Therefore, the measure of each exterior angle of a regular polygon that has 24 sides is 15 degrees.
Use 1% or 10% to estimate 8% of 310
Answers
10% of 310 = 310÷10 = 31
1% of 310 = 310÷100 = 3.1
2% of 310 = 2×3.1 = 6.2
8% of 310 = 31 - 6.2 = 24.8
Find the product of (2x + 5y)2.
Answers
A solution of phosphoric acid has a boiling point of 158 degrees Celsius. What is the boiling point of the solution in degrees Fahrenheit?
Answers
The boiling point of a phosphoric acid solution that is 158 degrees Celsius is 316.4 degrees Fahrenheit. This is found by using the formula F = C * 9/5 + 32.
Explanation:To convert the boiling point of a solution from degrees Celsius to Fahrenheit, we use the formula F = C * 9/5 + 32, where F represents the temperature in Fahrenheit and C represents the temperature in Celsius.
In this case, the temperature in Celsius that you want to convert is 158 degrees. So you can substitute this value in the formula as follows:
F = 158 * 9/5 + 32
When you perform the calculation, you find that the boiling point of the phosphoric acid solution is 316.4 degrees Fahrenheit.
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The hypotenuse of a right triangle is 3 times as long as the shorter leg. find the measure of the angle between the shorter leg and the hypotenuse
Answers
shorter leg = x
hypotenuse = 3x
[tex]cos \alpha = \cfrac{x}{3x} = \cfrac{1}{3} \ \ \to \alpha \approx70.5^o[/tex]
The measure of the angle between the shorter leg and the hypotenuse, [tex]\theta[/tex] = 70.53 °
What is Trigonometry?Trigonometry is a branch of mathematics that studies relationships between the sides and angles of triangles.
Given that:
Let us consider the shorter leg be 'x'.
and, the Hypotenuse be '3x '.
Using trigonometric functions,
[tex]cos \theta= \frac{Base}{Hypotenuse}[/tex]
cos [tex]\theta[/tex] = x /3x
cos [tex]\theta[/tex] = 1/3
[tex]\theta[/tex] = [tex]cos^{-1}[/tex] (1/3)
[tex]\theta[/tex] = 70.53 °
Hence, the measure of the angle between the shorter leg and the hypotenuse 70.53 °
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express 3/4, 7/16,and 5/8 with the LCD
Answers
4 = 2²
16 = 2⁴
8 = 2³
Take common and non-common factors with highest exponent.
So LCD = 16
The new dneominator of all fractions is 16. Divide this number for the original denominators and multiply for numerator...
16/4 = 4
4*3 = 12
3/4 = 12/16
16/16 = 1
1*7 = 7
7/16 = 7/16
16/8 = 2
2*5 = 10
5/8 = 10/16
Find the sum of the geometric sequence. (1 point) 1, one divided by two, one divided by four, one divided by eight, one divided by sixteen
Answers
1st) the common ratio is (1/4 : 1/2 ) = 1/2, so r =1/2
2nd) the sum of a GP is:
S= a(1-rⁿ)/(1-r)
S=(1/2).[1-(1/2)⁴]/(1-1/2) = 15/16
Answer:
31/16
Step-by-step explanation:
Find the surface area of each figure to the nearest tenth. Show your work, please
Answers
Lateral surface area = [tex] \frac{2p*a}{2} [/tex] where p is the base perimeter and a the apothem.
The base is a sqaure so, find the area of the square.
Base Area = 16*16 = 256 in²
Calculate the perimeter = 16*4 = 64 in
LSA = (64*17)/2 = (64*17)/2 = 1088/2 = 544 in²
TSA = 544+256 = 800 in²
Total surface of cone: LSA + Base Area
LSA = πra
Let's find the apotheme. Apply Pitagora, again the hypothenuse is the apotheme. The legs are the radius and the height.
a = √8²+3² = √64+9 = √73 ≈ 8,5 in.
Base area (area of the circle) = πr² = 3²*π = 9π in²
LSA = 3*8,5*π = 25,5π in²
TSA = 25,5π+9π = 34,5π = 34,5*3,14 = 108,3 in²
ROUND 43.0810194943 TO THE NEAREST TEN-THOUSANDTH HELP!
Answers
Since the hundred thousandths is a 1 which is less than a 5, you have to round down.
Two cards are drawn at random from a standard deck of cards without replacement. What is the probability that both cards will be from the clubs suit?
Answers
Answer:
The answer is 1/17.
Step-by-step explanation:
You will draw one club which will be 13/52. You will NOT replace it so you will draw a second card 12/51.
You will need to multiply them to find the probability.
First simplify your two fractions.
13/52 = 1/4 AND 12/51= 4/17
Multiply the two together and you will get 4/68 = 1/17
Hope this helps :)
a 23 gram sample of a substance thats a by-product of fireworks has a K-value of .13. whats the substances half life in days
Answers
Initial mass, m₀ = 23 g
Decay constant, k = 0.13
Exponential decay obeys the equation
[tex]m(t)=m_{0} e^{-kt}[/tex]
where t = time, days
For half life, the mass is m = m₀/2.
Therefore
[tex]e^{-0.13t} = \frac{1}{2} \\ -0.13t = ln(0.5)\\t= \frac{ln(0.5)}{-0.13} =5.33[/tex]
Answer: The half life is 5.33 days
Answer:
5.3 is the right answer.
Step-by-step explanation:
1/2(6x-4)=2/3x How do i solve this?
Answers
3x-2=2/3x
Multiply all terms by 3 so we won't have to deal with fractions.
9x-6=2x
Subtract 9x from both sides
-6=-7x
Divide both sides by -7
x= 6/7
Final answer: x=6/7