2x squared + 13x - 24 =0
Answers
Answer: (2x - 3)(x + 8)
Step-by-step explanation:
2x² + 13x - 24 = 0, where is equal ax² + bx + c = 0 form. We get a = 2, b = 13, c = -24.
When a is not equal to 1, we multiply a and c. ac = 2(-24) = -48.
b in the equations means that the sum of two factor of ac is equal to 13. Then we need to find which two factor is add up to 13. In this case, we get -3 and 16.
2x² + 13x - 24 = 0
2x² + 16x - 3x - 24 = 0
2x(x + 8) - 3(x + 8) = 0
(2x - 3)(x + 8) = 0
Answer: x = -8, x = [tex]\frac{3}{2}[/tex]
Step-by-step explanation:
This is a quadratic equation since it is in ax² + bx + c = 0 form! We will use the formula and use PEMDAS, the order of operations, while solving as well.
The quadradic formula, then plugging in to solve:
(please note before the square root is a ± sign. Brainly text editor will not allow me to add it)
[tex]x = \frac{-b\sqrt{b^{2} -4ac } }{2a}[/tex]
[tex]x = \frac{-13\sqrt{13^{2} -4(2)(-24) } }{2(2)}[/tex]
[tex]x = \frac{-13\sqrt{169 -4(2)(-24) } }{4}[/tex]
[tex]x = \frac{-13\sqrt{169 +192 } }{4}[/tex]
[tex]x = \frac{-13\sqrt{361 } }{4}[/tex]
Now it breaks into two parts:
[tex]x = \frac{-13-19}{4}[/tex] and [tex]x = \frac{-13+19}{4}[/tex]
[tex]x = \frac{-32 }{4}[/tex] [tex]x = \frac{6}{4}[/tex]
x = -8, x = [tex]\frac{3}{2}[/tex]
Related Questions
Which fraction below represents a repeating decimal?
Answers
Answer:
22/12
Step-by-step explanation:
Jill usually rides her bike at a speed of 10 miles per hour. Let x represent the hours and y represent miles. Write an equation that shows the relationship between x and y.
Answers
Answer:
y = 10x
Step-by-step explanation:
If x represents the hours & y represents the miles, your equation should be in multiplication.
10 miles an hour would be 10x and y would be the total. You can also plug in the answer to check. Let's say x is 2. Plug that into 10x and you get 10(2) = 20 and since y is 20, that'd be 20 miles. Therefore, you'd be running 20 miles in 2 hours, which makes sense because your rate is 10 miles an hour.
chen and megan each have a set of numbered counters chen has= 1 2 3 4 megan has= 1 2 3 4 5 they each take thier own counters without looking chen says im more likley to get a 4 is he correct? explain your answer
Answers
Answer:
Yes, Chen is correct.
Step-by-step explanation:
Chen has 1/4 chance of getting a 4, whereas Megan has 1/5 chance of getting a 4.
1/4 = 0.25
1/5 = 0.20
Therefore, Chen is correct.
How do I graph h(x) = 4|x+4| +3
Answers
Answer:
Move the point on the diagonal to (1,4) then move the vertex 4 units left and 3 units upwards
Step-by-step explanation:
GRADE 9 maths! due tonight please help!!
Answers
Answer:
Step-by-step explanation:
Find X and y in the triangle.
Answers
Answer:
Step-by-step explanation:
solve fox x 8 = 3a - 4
Answers
8-(3*a-4)=0
Pull out like factors :
12 - 3a = -3 • (a - 4)
Solve : -3 = 0
Solve : a-4 = 0
Add 4 to both sides of the equation :
Answer a = 4
Calculate the down payment percent using the following information:
Purchase price: $281,700.00
Closing costs: 2.4% of purchase price
Total move-in costs: $57,466.80
18.0%
20.4%
21.0%
23.5%
Answers
18.0% which is the same as 18%
==========================================================
Work Shown:
p = purchase price = $281,700
c = closing costs
c = 2.4% of purchase price
c = 0.024p
c = 0.024*(281,700)
c = 6,760.80
d = unknown down payment amount
m = total move in costs = $57,466.80
m = d + c
d = m - c
d = 57,466.80 - 6,760.80
d = 50,706
down payment percent = d/p = (50,706)/(281,700) = 0.18 = 18%
18% of the purchase price is the down payment.
A linear model is used to determine the amount owed on a loan of $5,000 with simple interest of 4.25%. The model is A = 5000 + 5000(0.0425t), where A is the Amount (total principal plus interest) required to
Use the model to determine how long it would take for the loan amount to reach $7,000. Round to the nearest tenth
Answers
Answer:
9.4
Step-by-step explanation:
Hey there!
The question is asking us to use the model to find how long it would take for the loan amount to reach 7,000
In order to answer this, we need to make 7,000 equal to the equation:
7000=5000+5000(0.0425t)
Subtract 5000 from both sides
2000=5000(0.0425t)
Now we simplify the RHS
2000 = 212.5t
Now you divide both sides by 212.5 to get t by itself
t=9.41
So it would take 9.4 months for the loan amount to reach 7000
(3+√3) x (2+√2) gr 9 maths sum from number system ans fast pls
Answers
(3+√3) x (2+√2)
6 + 3√2 + 2√3 + √3√2
6 + 3√2 + 2√3 + √6
Answer:
6 + 2√3 + 3√2 + √6
Step-by-step explanation:
The equation :
(3 + √3)(2 + √2)
Using Distributive Property,
3(2) + √3(2) + 3(√2) + (√3)(√2)6 + 2√3 + 3√2 + √6Times New Roman has tiny lines at the tips of letters, creating an appearance of old-style writing with a fountain pen. Those tiny lines are called _____.
Answers
Simplify the radical expression-
I’ll give Brainliest to the first person
Answers
Answer:
2ײY²¹ is the Answer
Thank you:)
What is the median of the data represented by the box plot?
A number line ranging from 0 to 143.75 with a box encompassing the numbers 12.5, 20, and 65.
Enter your answer in the box.
Answers
will someone please help me?
Answers
Answer:
x=-1
Step-by-step explanation:
1.(-9-11)(-4)/-7^2+(11*2^2)
2. =-20/-4/-7^2+11(2^2)
3. =5/7^2+11(2^2)
4. =5/-49+11(2^2)
5. =5/-49+(11)(4)
6. = 5/-49+44
7.=5/-5
8. x=-1
Transformation MATHS
anyone pls help me fond a solution to this ques
Answers
======================================================
Explanation:
Transformation V reflects over the line y = 0, which is the x axis. All points on the x axis have a y coordinate of zero. Examples are (1,0) and (2,0).
To reflect over the x axis, we flip the sign of the y coordinate. The x coordinate stays the same. Example: The point (1,5) moves to (1,-5).
In general the rule is [tex](x,y) \to (x,-y)[/tex]
---------------------
Transformation W rotates the point 90 degrees clockwise around the origin (0,0). The rotation rule is [tex](x,y) \to (y,-x)[/tex].
For example, the point (1,7) rotates to (7,-1) when doing a 90 degree clockwise rotation around the origin. We move from the northeast quadrant to the southeast quadrant.
As you can see, we swap the x and y coordinates. Then we do a sign flip on the new y coordinate.
----------------------
Transformation X combines the two previous transformations. We do V first then W next. The order is important (see the next section as to why).
We're given the point (g,h) where we don't know g nor h.
The x axis reflection rule has us get to (g, -h) because we simply flip the y coordinate from positive to negative, or vice versa.
Then applying transformation W has us get to (-h, -g) as the final answer.
----------------------
As stated earllier, the order of the transformations is important. Let's say we did W first and then V next.
Apply transformation W to go from (g,h) to (h,-g)Apply transformation V to go from (h,-g) to (h,g)The point (h,g) is different from (-h, -g) showing that the order does affect where the final point ends up.
However, some transformations can be composited together without worrying about the order. An example could be having a translation followed by another different translation.
Easy question! First one to answer gets brainliest!
2x + 5 = 21
Answers
[tex]2x + 5 = 21[/tex]
Subtract both sides 5
[tex]2x + 5 - 5 = 21 - 5[/tex]
[tex]2x = 16[/tex]
Divide both sides by 2
[tex] \frac{2x}{2} = \frac{16}{2} \\ [/tex]
[tex]x = 8[/tex]
Answer:
8
Step-by-step explanation:
To determine the value of "x", we need to isolate the "x" variable completely. The first step in isolating the variable is to remove the constant on the L.H.S. This can be done by subtracting 5 both sides.
⇒ [tex]2x + 5 = 21[/tex]
⇒ [tex]2x + 5 - 5 = 21 - 5[/tex]
⇒ [tex]2x = 16[/tex]
The last step in isolating the "x" variable is to isolate the cooeficient of x. This can be done by dividing the cooeficient of x both sides.
⇒ [tex]2x = 16[/tex]
[Cooeficient of x is 2]
⇒ [tex]\frac{2x}{2} = \frac{16}{2}[/tex]
⇒ [tex]x = \frac{16}{2} = 8[/tex]
In conclusion, the value of the "x" variable is 8.
The cost to rent a condominium at the beach is $1,500 per week. If two people share the cost, they each have to pay $750. Explain why the relationship between the cost per person varies inversely with the number of persons sharing the cost. Then write an inverse variation function that can be used to calculate the cost per person, c, of p persons sharing the rental fee.
Answers
Answer:
1. The relationship between the cost per person and the amount of persons sharing the cost is an inverse relationship because as the number of persons sharing the cost increases the cost per person decreases.
2. c = 1500 / p
Step-by-step explanation:
1. Lets look at the cost comparison per number of tenants.
1 person = $1500 per person
2 people = $750 per person
3 people = $500 per person
As you see, as the number of people increase, the cost per person decreases.
2. If you are splitting the cost, then you are dividing equally.
The rent is divided between the number of people
1500 / p
c = 1500 / p
Answer:
1. The relationship between the cost per person and the amount of persons sharing the cost is an inverse relationship because as the number of persons sharing the cost increases the cost per person decreases.
2. c = 1500 / p
Step-by-step explanation:
1. Lets look at the cost comparison per number of tenants.
1 person = $1500 per person
2 people = $750 per person
3 people = $500 per person
As you see, as the number of people increase, the cost per person decreases.
2. If you are splitting the cost, then you are dividing equally.
The rent is divided between the number of people
1500 / p
c = 1500 / p
Lilit and Sergio sold candles for a class trip. On the first day, Lilit sold 8 candles and Sergio sold 10 candles. For the next three days, both sold another 3 candles each day.PLEASE HELP
Answers
Answer:
Lilit- 17 candles
Sergio- 19 candles
Step-by-step explanation:
this is the most probable answer.
Write an equation for a line that contains the point (0,4) that is parallel to the
equation below.
y= -7x+1
Answers
Step 1: Find the Slope
Parallel lines have the same slope, therefore the slope of our new line is also -7.
Step 2: Find the Y-Intercept
Once we have the slope and a point on the line, we can solve for the y-intercept. Plug in the slope and the given point into slope-intercept form and solve for b.
Slope-Intercept Form: y = mx + b
Slope = -7
Point = (0, 4)
4 = -7(0) + b
b = 4
Step 3: Form the Equation of the Line
Now that we have both the slope and the y-intercept of the new line, all that's left to do is plug those values into slope-intercept form.
Slope-Intercept Form: y = mx + b
m = -7
b = 4
Equation of the New Line: y = -7x + 4
Answer: y = -7x + 4
Hope this helps!
Answer:
y = -7x + 4
Step-by-step explanation:
Given
point = (0, 4)parallel to y = -7x + 1Solving
Slope of new line is also -7y - 4 = -7(x - 0)y - 4 = -7xy = -7x + 4someone help, its calc
Answers
Differentiate
[tex]\\ \rm\rightarrowtail f'(x)=\dfrac{d}{dx}(2x^2+9x)[/tex]
[tex]\\ \rm\rightarrowtail 4x+9[/tex]
Put x=5f'(5):-
4(5)+920+929Option C
instantaneous rate can be found by differentiating the function.
Here,
f(x) = 2(x)² + 9(x)so differentiating:
f'(x) = d/dx (2(x)² + 9(x))f'(x) = 4(x) + 9So when x = 5,
f'(5) = 4(5) + 9f'(5) = 20 + 9f'(5) = 29If the value of a is 8 in f(x)=ax^2 what does the graph look like?
A) a parabola that opens down
B) a parabola that opens up
C) a parabola that opens left
D) a parabola that opens right
Answers
Answer:
B
Step-by-step explanation:
Graphs with x^2 look like a U shape as the negative x values will still result in a positive y value since a negative squared is a positive.
What is 3 1/2 + (-6) - (-1 1/2-9 3\4 ) simplified?
Answers
Answer:
8.75
Add everything together
In a times table test, Mr. Dolan's students score 21, 25, 17, 23, 25, 21, 27, 21, and 18 out of a total of 35. Find the measures of center and then type a numerical answer only in spaces below. mean = median = mode =
Answers
The measures of center of the students score are:
Mean = 22
Median = 21
Mode = 21
What are Measures of Center?Measures of center of a data distribution are the mean, median, and mode.
Given the data, 21, 25, 17, 23, 25, 21, 27, 21, 18:
Mean = sum of all data values / number of data values = 198/9 = 22
Median = the middle value in the ordered data set = 21
Mode = the most appeared data value = 21 (appeared 3 times)
Learn more about the measures of center on:
https://brainly.com/question/1378589
PLEASE ANSWER ASAP!! I'll mark brainliest!!
Jaclyn estimates the square root of 32 in the following way:
√32 = 2√16 = 2 ∗ 4 = 8
(a) Explain why her reasoning is incorrect.
(b) Rewrite the problem and solve it correctly. Clearly show your work.
Answers
a) she put the numbers in the wrong place, V2 ≠2
b) V32= 4V2
the tree diagram represents an experiment consisting two trials
Answers
Answer:
0.35
Explanation:
P ( B and D )0.5 * 0.70.35Follow the branch B and then branch D
multiply both the selected probabilities to calculate total probability.Answer:
0.35
Step-by-step explanation:
To find the probability of a sequence of events, multiply along the branches representing those events.
Therefore, P(B and D) = 0.5 x 0.7 = 0.35
** refer to the attached diagram **
How many electrons can there be in the 5s subshell.
Answers
s orbital mentioned
Note that for all n shells electrons per shell is fixed like for p it's 6 and for d it's 10
Hence 5s contains 2electronsRule for electron in nth shell=2n²
Find the length of the midline KH in Trapezoid SQUAD.
Answers
[tex] \sf\red{the \: length \: of \: the \: middle \: kh \: is \: \frac{a \: + \: b}{2} units}[/tex]
use the midpoint formula to find the coordinates of points K and H[tex]\begin{gathered}{\boxed{\begin{array}{cccc} \sf{For \: point \: K} & \\ & \sf \\ \sf{Q( 0, 0 )\: U( c, d )}\\ \tiny \times = \times \frac{ \times 1 \: + y \: 2}{2} \: \: y = \frac{y \: 1 + y \: 2}{2} \\ \tiny{ \times = \frac{0 \: + \: c}{2} \: y = \frac{0 \: + \: d}{2} } \\ \tiny{ \times = \frac{c}{2} \: \: \: y = \frac{d}{2} } \\ \tiny \red{the \: coordinates \: of \: point \: K \: are \: ( \frac{c}{2} . \frac{d}{2} )} \end{array}}}\end{gathered} [/tex]
[tex]\begin{gathered}{\boxed{\begin{array}{cccc} \sf{For \: point \: H} \\ \\ \tiny{b),d] D(a,0)} \\ \tiny \times = \frac{ \times 1 \times 2}{2} \: \: y = \frac{y \: 1 + y \: 2}{2} & \\ \tiny{ \times = \frac{a + (c + b)}{2} \: \: y = \frac{0 + d}{2} } &\\ \tiny{ \times = \frac{a + b + c}{2} \: \: \: y = \frac{d}{2} } \\ \tiny\red{ The\: coordinates\: of\: point \:H\: are ( \frac{a + b + c}{2} , \frac{d}{2} ) }\end{array}}}\end{gathered} [/tex]
b. use the distance for mula to find the length of KH[tex] \sf \: k( \frac{c}{2} . \frac{d}{2} ) \: \: \: h( \frac{a + b + c}{2} . \frac{d}{2} )[/tex]
[tex] \sf \: d = \sqrt{(x2 - \times 1) {}^{2} + (y2 - y1) {}^{2} } [/tex]
[tex] \sf \: kh = \sqrt{ \frac{[a \: + \: b \: + \: c}{2} - \frac{c}{2} {}^{2} + ( \frac{d}{2} - \frac{d}{2}) ^{2} } [/tex]
[tex] \sf \: kh = \sqrt{ (\frac{a + b}{2}) {}^{2} + (0) {}^{2} } [/tex]
[tex] \sf \: kh = \sqrt{( \frac{a + b}{2}) {}^{2} } [/tex]
[tex] \sf \: kh = \frac{a + b}{2} [/tex]
Final Answer[tex] \sf\red{the \: length \: of \: the \: middle \: kh \: is \: \frac{a \: + \: b}{2} units}[/tex]
find the surface area of each rectangular prism
Answers
1) SA= 2[(9*13)+(3*13)+(3*9)] = 366 mm^2
2) SA = 2[(4*20)+(6*20)+(6*4)] = 448 cm^2
3) SA= 2[(6*5)+(14*5)+(14*6)] = 368 m^2
4) SA= 2[(4*17)+(14*17)+(14*4)] = 724 ft^2
5) SA= 2[(4*13)+(19*13)+(19*4)] = 750 in^2
6) SA = 2[(3*9)+(14*9)+(14*3)] = 390 mm^2
You roll a number cube once. What is the theoretical probability that you roll a 3 or 1? Enter your answer as a simplified fraction.
Answers
Answer:
2/6 or 1/3
Step-by-step explanation:
If it was a average 6 sided cube then 1/3 of the numbers are 3 and one.
For 7 points and brainliest to the best correct answer, find the missing measures. Question is in photo, thanks.
Answers
Answer:
X = 2
AB = 39
CB = 27
Step-by-step explanation:
Since it's a parallelogram (two pairs of parallel sides), we can set each opposite side equal to each other. We know the equation for two opposite sides, side AD and side CB, therefore:
[tex]AD=CB\\14x-1=9x+9\\5x=10\\x=2[/tex]
Now that we know x, we can solve the other equations:
[tex]12x+15=AB\\12*2+15=AB\\24+15=AB\\39=AB[/tex]
And:
[tex]9*2+9=CB\\18+9=CB\\27=CB[/tex]
