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]
Find the volume of the figure. If necessary, round your answer to the nearest tenth.
Answer choice
A: 441 cm^3
B: 220 cm^3
C: 73.5 cm^3
Answer:
220 cm^3
Step-by-step explanation:
volume = 1/2(10.5)(6)(7)
volume = 220.5 cm^3
NEED HELP ASAPPP !!!
Answer:
I believe D is the correct answer
2/3a-1/6=1/3 what is the solution
Here is your Answer:
3/4
what is the mode of the data set 29,22,19,20,29,23,29,19,31
Answer:
Mean (Average): 21.44444
Median (Middle): 22
Mode (Most Common): 29
Step-by-step explanation:
Find the value of x.
I’m desperate for help
Answer:
the answer is 24 since 24 x 5 = 120
Step-by-step explanation:
Hope this helps you!
An orange cone has a exact volume of 120π ft³. What is the height of the cone if the radius is 6ft?
Answer:
10 ft
Step-by-step explanation:
Given:
Radius ⇒ 6 feetFormula of cone ⇒ V = 1/3πr²hPlug in the values given:
120π=1/3π(6²)hCancel π from both sides and simplify:
120 = 1/3 36h120 = 12hAnswer:
Height = 10The height of the cone if the radius is 6ft is,
⇒ h = 3.18 feet
What is Multiplication?To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that;
An orange cone has a exact volume of 120π ft³.
And, The radius = 6 feet
Now, We know that;
Volume of cone = πr²h/ 3
Hence, We get;
⇒ 120 = 3.14 × 6² × h / 3
⇒ 120 = 3.14 × 12h
⇒ 120 = 37.68h
⇒ h = 3.18 feet
Thus, The height of the cone if the radius is 6ft is,
⇒ h = 3.18 feet
Learn more about the multiplication visit:
https://brainly.com/question/10873737
#SPJ2
The scores of an eighth-grade math test have a normal distribution with a mean mu = 83 and a standard deviation sigma = 5. if din’s test score was 92, which expression would she write to find the z-score of her test score? z = startfraction 92 minus 83 over 83 endfraction z = startfraction 83 minus 92 over 5 endfraction z = startfraction 92 minus 83 over 5 endfraction z = startfraction 5 minus 83 over 92 endfraction
The z-score is the ratio of the difference of sample and means to the standard deviation. Then the correct option is A.
What is a z-score?The z-score is a numerical measurement used in statistics of the value's relationship to the mean of a group of values, measured in terms of standards from the mean.
The scores of an eighth-grade math test have a normal distribution with a mean of 83 and a standard deviation of 5. If the x is 92. Then the test score will be
The z-score will be given as
[tex]z = \dfrac{x - \mu}{\sigma }\\\\z = \dfrac{92 - 83 }{5}[/tex]
More about the z-score link is given below.
https://brainly.com/question/15016913
Answer:
A
Step-by-step explanation:
edge 2022
Please help . Giving brainliest. Only question NUMBER 5 .
Answer:
48.8
Step-by-step explanation: The equation for the area of a circle is π*r², since the base of a cylinder is a circle we take the equation of a circle and multiply the height of the cynlinder by using the equation π*r²*h to get the volume of a cylinder. In this case our factors are
π= 3.14
r²= 6.76
h=2.3
3.14*6.76*2.3=48.82072
rounded to the nearest tenth=48.8
Hope this helps you!
Mark me brainleast!!!!!
Can someone please help me asap ill give the most point to whoever answers first and CORRECTLY
Answer:
y+2 if this is correct can u mark me brainliest?
help, A or B! pic is below
Answer:
I think b
Step-by-step explanation:
Please help me and please no links or bot me cuz i really need help
Answer:
hope this helps
Step-by-step explanation:
1) x =3 - S
2) x = 1 - O
3) x = 5 - L
4) x =. I don't understand this one. its 1/2 * 21? = V?
5) x = 10 - E
Solve for x. Leave your answer in simplest radical form.
SOMEONE PLEASE HELP ME ILL GIVE YOU BRAINLIST ANSWER
Step-by-step explanation:
REFER TO THE ATTACHMENT!!
can we friends
The points scored by a basketball team in its last 6 games
are shown. Use these data for 7 and 8.
Which measure better describes the typical number of points scored?
Explain.
(Points scored= 73,77,85,84,37,115)
Answer:
73+78+85+84+37+115 because you will add all point scored by the last 6games =471
i need to knoow the anser of 20000+2000
Answer:
22000 easy but this simple hope it helps
Step-by-step explanation:
help me with this question also
[tex]\text{Given that,}\\\\[/tex]
[tex]~~~~~~~\cos \theta = \dfrac 89\\\\\\\implies 2\cos^2 \left(\dfrac{\theta}2 \right) -1 = \dfrac 89~~~~~~;\left[1+ \cos 2\theta = 2\cos^2 \theta \right]\\\\\\\implies 2 \cos^2 \left(\dfrac{\theta}2 \right)= \dfrac 89 +1\\\\\\\implies 2 \cos^2 \left(\dfrac{\theta}2 \right)=\dfrac{17}9\\\\\\\implies \cos^2 \left(\dfrac{\theta}2 \right) = \dfrac{17}{18}\\\\\\\implies \cos \left(\dfrac{\theta}2 \right)=\sqrt{\dfrac{17}{18}}~~~~~~~~~~~;\left[\text{Positive value of} ~\cos \left(\dfrac{\theta}2\right) \right][/tex]
[tex]\implies \cos \left(\dfrac{\theta} 2 \right) =\dfrac{\sqrt{17}}{\sqrt{9 \times 2}}\\\\\\\implies \cos \left(\dfrac{\theta} 2 \right)=\dfrac{\sqrt{17}}{3\sqrt 2}\\\\\\\implies \cos \left(\dfrac{\theta} 2 \right)=\dfrac{\sqrt{17} \cdot \sqrt 2}{3\cdot 2}\\\\\\\implies \cos \left(\dfrac{\theta} 2 \right)=\dfrac{\sqrt{34}}{6 }[/tex]
John goes to a restaurant and has a bill of $32.57 He uses a 10% coupon on the cost of the meal. The taxis 8%. He leaves a tip of 18% on the amount before the coupon or tax is applied. How much does he spend.
$37.52
I know it seems close, but the coupon doesn't do much when you repay a total of 18% before the coupon.
Which function is graphed below?
Answer:
The function y =f (x) is graphed below. Plot a line segment connecting the points on f where x = -9 and x = -3. Use the line segment to determine the average rate of change of the function f (x) on the interval -9 <x <-3?
Step-by-step explanation:
I am not sure where or what you are talking about?
the area of a square is 32 cm. find the length of the diagonal
Answer:
8 cm
Step-by-step explanation:
Squares have equal side lengths so if we call each side x, then x × x gives us the area (32 cm²). This means that x² = 32 and therefore, one side is √32 cm.
Next, to work out the diagonal we can use Pythagoras' theory, since we can form a right-angled triangle. a² + b² = c² (c is the diagonal or the hypotenuse)
(√32)² + (√32)² = c²
(note: the square and the square root cancel out)
32 + 32 = 64
c² = 64 ∴ c = √64 which is 8
Hope this helps!
Answer:
The length of the diagonal is 8 cm.
Step-by-step explanation:
The side length of the square is √32 cms.
The diagonal divide the square into 2 congruent right triangles.
We use Pythagoras Theorem here:
d^2 = (√32)^2 + (√32)^2
d^2 = 32 + 32 = 64
d = √64 = 8.
NEED HELP ASAP!! 5TH GRADE MATH, WILL GIVE BRAINLIEST!!!
Answer:
14,880: So yes, it will be greater than 12400.
Step-by-step explanation:
Because you can simplify the fraction from 1 1/5 to 6/5, and 6/5 is equal to 1.2, simply multiply 12400 by 1.2, which would get you 14800. In other words, if it was multiplying by a number less than 1.2, then it would be less than 12400.
Hope this helps!
PLEASE HELP
A group of friends wants to go to the amusement park. They have $272 to spend on parking and admission. Parking is $7.75, and tickets cost $37.75 per person, including tax. How many people can go to the amusement park?
Answer:
7 people
Step-by-step explanation:
Given:
$272 total money for all friends
parking costs $7.75 for all
tickets cost $37.75 per person
Solution;
Take away the money for parking to see how much money we have left for tickets
272 - 7.72 = $ 264.25
We divide the $264.25 to the price of 1 ticket $37.75 to see how many tickets we have money for
264.25 / 37.75 = 7
If we have money for 7 tickets then 7 friends can go to the amusement park.
which table of inputs values, x, and output values, y, represents functions
select each answer
what is an equation of the line that passes through the points (3,0) and (-6,-3)
Step-by-step explanation:
given ponts,
(3,0)=(x1,y1)
(-6,-3)=(x2,y2)
we know,
Eqn of any line joining two points be,
(y-y1)={(y2-y1)/(x2-x1)}*(x-x1)
y-0={(-3-0)/(-6-3)}*(x-3)
y=(1/3)*(x-3)
y=(x-3)/3
3y=x-3
0=x-3y-3
x-3y-3=0
Therefore it is required eqn
Mathematics
20. A teacher drew an area model to find the value of 6,986 +8.
Teacher's Model for 6,986 +8
R
Р
N
800
Q
8
560
M
UNIZ
not to scale
• Determine the number that each letter in the model represents and explain
each of your answers.
• Write the quotient and remainder for 6,986 + 8.
Explain how to use multiplication to check that the quotient is correct. You
may show your work in your explanation.
Enter your answers and your explanations in the space provided.
.
factories
Need fast
[tex] {x}^{8} + {x}^{4} + 1[/tex]
to find:factorise
solution:[tex] {x}^{8} + {x}^{4} + 1[/tex]
[tex] = x ^{8} + 2 {x}^{4} + 1 - {x}^{4} [/tex]
[tex] = ( {x}^{4} + 1 {)}^{2} - ( {x}^{2} {)}^{2} [/tex]
[tex] = ({x}^{4 } + 1 + {x}^{2}) ( {x}^{4} + 1 - {x}^{2} )[/tex]
[tex] = ( {x}^{4} + 2 {x}^{2} + 1 - {x}^{2} )( {x}^{4} - {x}^{2} + 1)[/tex]
[tex] = (( {x}^{2} + 1 {)}^{2} - {x}^{2} )( {x}^{4} - {x}^{2} + 1)[/tex]
[tex] = ( {x}^{2} + 1 + x)( {x}^{2} + 1 - x)[/tex]
[tex] = ( {x}^{4} - {x}^{2} + 1)[/tex]
What is the exact value of tan 150
Answer:
-0.5774
Step-by-step explanation:
Tan 150 degrees is the value of tangent trigonometric function for an angle equal to 150 degrees. The value of tan 150° is -1/√3 or -0.5774 (approx).
Answer this question
And I give you stars in return :-)
Answer: 48/44
Step-by-step explanation: if the area is 144 the perimeter is going to be 48. if the area is 121 the perimeter is 44. to find the perimeter you have to find the sides, since it is a square they will all be the same length. you have to find the square of the area since the formula for it is lw. then once you find the length of each side, you multiply it by 4 to find the perimeter. then to find the other question multiply the permimeter by 5.
area of square: side²
=======
side² = 121
side = √121
side = 11 cm
====
perimeter of square:
4(side)4(11)44 cmii)
total distance she ran = perimeter of square * 5
distance = 44 * 5
distance = 220 cm
I need help with Function Operations
Answer:
490
Step-by-step explanation:
d(x)=700-7(30)
7x 30=210
700-210=490
therefore,
r(x)=490
giving 15 points please help
Answer:
6
Step-by-step explanation:
if you calculate it all in, 6x4 is 29. so you do 1/2x29 and divide it by three, then add 2 to that and in conclusion its equal to 6 (im sure!!) ive double checked so go ahead put that answer in.
Find the surface area of a cylinder with radius 2 yards and height 6 yards.
Give me the answer
What is the location of point G, which partitions the directed line segment from F to D into an 8:5 ratio?
A number line goes from negative 5 to 10. Point D is at negative 4 and point F is at 9. A line is drawn from point D to point F.
1
2
3
4
Answer:
A) 1
Step-by-step explanation:
We want to find G such that ...
(G-F)/(D-G) = 8/5
5(G-F) = 8(D-G)
5G -5F = 8D-8G . . . . eliminate parentheses
13G = 8D +5F . . . . . . add 5F +8G to both sides
G = (8D +5F)/13 . . . . divide by the coefficient of G
G = (8(-4) +5(9))/13 = (-32 +45)/13 = 13/13
G = 1 . . . . . . matches choice A
Answer:
A
Step-by-step explanation:
EDGE 22