Answer:
The number that goes in place of the question mark is 2.
Step-by-step explanation:
Let's solve it!
3x² + 12x - 24 = 0
First we can factor 3 out of each term:
x² + 4x - 8 = 0
Now we'll add 12 to both sides to complete the square:
x² + 4x + 4 = 12
And finish it off:
(x + 2)² = 12
So the answer to the question is 2
Bonus:
We can also now solve this for x:
(x + 2)² = 12
x = √12 - 2
x = 2√3 - 2
x ≈ 2 × ±1.732 - 2
x ≈ 1.464, -5.464
Pre calculus law of sines
Answer:
AB = 6.5
Step-by-step explanation:
C = 59°
AC = 7
CD = 6
AB = ?
Apply the Law of Cosines, which is AB² = AC² + CD² - 2(AC)(CD)*Cos(C)
AB² = 7² + 6² - 2(7)(6)*Cos(59)
AB² = 85 - 43.26
AB² = 41.74
AB = √41.74
AB = 6.5 (nearest tenth)
Will give brainliest answer please help
Answer:
[tex]a^{2}(24a^{2}+36a+12)[/tex]
Step-by-step explanation:
Area of rectangle= Length*Width
so [tex](6a^{2}+9a+3)*4a^{2}[/tex] multiply each coefficient of a times 4a^2
[tex]24a^{4}+36a^{3}+12a^{2}[/tex] then take a^2 common factor so it will be
[tex]a^{2}(24a^{2}+36a+12)[/tex]=area
find the value of each of the four remaining trigonometric functions
Answer:
tanФ = [tex]\frac{\sqrt{2}}{2}[/tex], cscФ = 3, secФ = [tex]\frac{3\sqrt{2} }{4}[/tex], cotФ = [tex]2\sqrt{2}[/tex]
Step-by-step explanation:
tanФ= [tex]\frac{1}{2\sqrt{2} } =\frac{2\sqrt{2}}{8} =\frac{\sqrt{2} }{2}[/tex]
cscФ= [tex]3[/tex]
secФ= [tex]\frac{3}{2\sqrt{2}} =\frac{6\sqrt{2}}{8} =\frac{3\sqrt{2}}{4}[/tex]
cotФ= [tex]2\sqrt{2}[/tex]
20.) Which inequality represents the solution on the graph?*

Answer:
Option 2
Step-by-step explanation:
You can see that the graph of the inequality is x <= -3, so you want to find why inequality matches that. Solve each one:
1
.[tex]3x \geq -9\\x \geq -3[/tex]
doesn't match
2.
[tex]-7x\geq 21\\x\leq -3[/tex]
Does match, so this is the answer.
21) A frozen yogurt store sells a small bowl of frozen yogurt for $2.50 plus $0.75 per topping. They sell a large bowl of frozen yogurt for $4.00 plus $0.50 per topping. For how many toppings will a small bowl of frozen yogurt cost the same as a large bowl of frozen yogurt?
Answer:
Two toppings and a small bowl of frozen yogurt will cost the same as a large bowl of frozen yogurt.
Step-by-step explanation:
2.50 + .75x = 4.00
4.00 - 2.50 = 1.50
1.50/.75 = 2
2 toppings
Find the errors and correct the following mathematical sentences.
Answer:
This is your answer
8) A box of 12 light bulbs fell
and some are broken. If there
are 4 broken bulbs:
a) What fraction of the
bulb is broken? Write
answer in its lowest
term.
Answer: 2/3
Step-by-step explanation:
12 lightbulbs and 4 are broken
12-4=8
8/12
/2
4/6
/2
2/3
PLEASE HELP
An art teacher recorded whether the students in three of her classes prefer water color or oil painting. She plans to
create a two-way table to analyze her results. Which describes the variables she can use in the first row and first
column to create her table?
A.painting preference and total number of students
B.painting preference and number of students in class 1
C.class number and painting preference
D.class number and number who prefer oil
Answer:
D. class number and number who prefer oil
10. Solve for z: 2 + 8 - z = -24
Answer:
The answer is z = 34.
Step-by-step explanation:
1) Simplify 2 + 8 - z to 10 - z.
[tex]10 - z = - 24[/tex]
2) Subtract 10 from both sides.
[tex] - z = - 24 - 10[/tex]
3) Simplify - 24 - 10 to -34.
[tex] - z = - 34[/tex]
4) Multiply both sides by -1.
[tex]z = 34[/tex]
Therefor, the answer is z = 34.
Can you help me with these 2 articles? pls
Answer:
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Can someone help please!! Thank you
Cuál es el costo mínimo para la construcción de una caja abierta cuya base rectangular tenga una longitud igual al doble del ancho y su volumen sea 72 metros cúbicos? el material para la base cuesta $50 el metro cuadrado y el de los lados $25 el metro cuadrado
Answer:
???
Step-by-step explanation:
Impossible question for me plz help
Answer:
The line x = 3 is simply a vertical line that passes through every single point where x is equal to 3.
One that is is parallel and passes through (-4, 7) will be in the same format, just with another number. The given point has an x-coordinate of -4, so the line is:
x = -4
What expression is equivalent to 1/3x + 1/4 - 2/3x
Show work please
Answer:
1/12 * (-4x+3)
Step-by-step explanation:
1/3x + 1/4 - 2/3x
1/12 * (4x+3-8x)
1/12 * (-4x+3)
Select the correct answer.
Hillary and her friends are trying to decide whether to go bowling or to a movie. Which method could they use to fairly decide which activity they
will do?
A.Flip a coin twice. If the coin lands on heads both times, they will go bowling. If it doesn't, they will go to a movie.
B.Flip a coin twice. If the coin lands on heads one time and tails one time, they will go bowling. If it doesn't, they will go to a
movie.
C.Flip a coin three times. If the coin lands on tails all three times, they will go to a movie. If it doesn't, they will go bowling.
D.Flip a coin three times. If the coin lands on heads twice and tails once, they will go to a movie. If it doesn't, they will go bowling.
Answer:
D.
Step-by-step explanation:
I would have to say D is the best answer since then it's truly based on luck and it's almost as if it's being flipped once
Hillary and her friends could flip a coin twice to fairly decide which activity they will do. If the coin lands on heads one time and tails one time, they will go bowling. If it doesn't, they will go to a movie.
What is probability?Probability is the ratio that shows the likelihood of an event occurring out of all the other possible events.
Hillary and her friends need to use a fair method to determine which activity to do. For this, the probability should be 1/2. We should observe the given options and find which is the fairer method.
In the case of option A, the probability of that event occurring is 1/4.In the case of option B, the probability of that event occurring is 1/2.In the case of option C, the probability of that event occurring is 1/8.In the case of option D, the probability of that event occurring is 3/8. We can see that Option B is the only event having a probability of 1/2.Therefore, Hillary and her friends could flip a coin twice to fairly decide which activity they will do. If the coin lands on heads one time and tails one time, they will go bowling. If it doesn't, they will go to a movie. The correct answer is Option B.
Learn more about probability here: https://brainly.com/question/24756209
#SPJ2
2/3 of a number is 8 what is the number?
Answer:
12
Step-by-step explanation:
8/ (2/3) = 12
The value of number is,
⇒ x = 12
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.
We have to given that;
2/3 of a number is 8
Let us assume that,
A number is, x
Hence, We can formulate;
⇒2/3 of x = 8
⇒ 2/3 × x = 8
⇒ 2x = 3 × 8
⇒ 2x = 24
⇒ x = 12
Thus, The value of number is,
⇒ x = 12
Learn more about the multiplication visit:
https://brainly.com/question/10873737
#SPJ2
9 times (3+2)= (9 times ) +(9 times ) =
Answer:
9(3+2) = 45
9 * 9 = 81
Step-by-step explanation:
hi pls help me in math im soo stuck:(((plss
Answer/Step-by-step explanation:
a. First, find the value of a.
Sum of the interior angles of a triangle = 180° (triangle sum theorem)
Therefore:
3a + 2a + a = 180°
Add like terms
6a = 180°
6a/6 = 180/6
a = 30
Thus:
a = 30°
2a = 2(30) = 60°
3a = 3(30) = 90°
b. The triangle is an isosceles triangle because it has two sides that are indicated to be equal. This also implies that the angels opposite each of the equal sides are also congruent to each other.
Therefore, sum of the isosceles triangle would be:
2(2x) + 5x = 180°
4x + 5x = 180
9x = 180
9x/9 = 180/9
x = 20
Thus:
2x = 2(20) = 40
5x = 5(20) = 100
Assume that a fair die is rolled. The sample space is {1, 2, 3, 4, 5, 6) and all outcomes
are equally likely. P(less than 5)
A sketch of a new dog park in town is shown below. How many square feet will the dogs have to roam
and play?
Answer:
they will have 432 ft to play
Find the measure of 46.
62°
16
46 = [?]
Answer:
118
Step-by-step explanation:
62+ m<6=180
180-62=118
m<6=118
?=118°
Answer:
<6+62=180 co interior angle
<6=180-62=118°
PLZ HELP ASAP 20 POINTS PLZ ANSWER THIS HOUR IF AC = 26 cm, what is BC?
20 cm
24 cm
26 cm
2√194cm
AB = BD = 10cm
Now using the Pythagorean theorem:
26^2 = 10^2 + BC^2
Simplify:
676 = 100 + BC^2
Subtract 100 from both sides:
576 = BC^2
Take the square root of both sides:
BC - sqrt(576)
BC = 24 cm
HELP PLZ DUE IN 10 MIN PLZ I WILL GIVE 200 point if right PLZ
Answer:
(3,1)
Step-by-step explanation:
Answer:
3,1
Step-by-step explanation:
I just need the answer the work isn't necessary
Answer:
57°Step-by-step explanation:
Vertical angles theorem states that vertical angles are congruent.
Arcs EF and are intercepted by vertical angles, therefore:
mAB = mEF = 36°Angle addition postulate.
mABD = mAB + mBDCentral angle has same measure with intercepted arc.
mBD = m∠BCD = 21°So the arc ABD is:
mABD = 36° + 21° = 57°what is the GCF of 8b and 16a?
A person invests 7000 dollars in a bank. The bank pays 4% interest compounded quarterly. To the nearest tenth of a year, how long must the person leave the money in the bank until it reaches 14700 dollars?
Answer:
18.6
Step-by-step explanation:
Answer:
18.6
Step-by-step explanation:
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The charge for a bicycle repair was $9.28 for parts, 1/4 hour of labor at $18 per hour, and a $2 shop fee. What was the total cost (c) of the repair?
Answer:
15.78
Step-by-step explanation:
4 goes into 18 (4 quarters in 1 hour), 4.5 then 4.50+ 9.28+2= $15.78
What is the slope of the line below? Be sure to scroll down first to see all
answer options.
(-14,3) (2,-5)
Answer:
Step-by-step explanation:
The slope of a line can be determined by any two points on the line and is defined as
m=(y2-y1)/(x2-x1),
We are given points (-14,3) and (2,-5) so
m=(-5-3)/(2-(-14))
m=(-8)/(16)
m= -1/2. (Answer F)
please help asap 20 points
Which properties describe a RECTANGULAR PRISM?
A) 4 faces, 6 vertices, 8 edges
B) 4 faces, 8 vertices, 12 edges
C) 6 faces, 8 vertices, 12 edges
D) 6 faces, 6 vertices, 8 edges
Answer:
C) 6 faces, 8 vertices, 12 edges
Step-by-step explanation:
6 faces: base and top face (2) and side faces (4)
8 vertices: 4 on the top, 4 on the bottom
12 edges: 4 on the top, 4 on the bottom, 4 on the sides
Answer:
I'm pretty sure the answer is C
Will GIVE BRAINLIEST Select the correct answer.
Which statement describes the end behavior of the function?
12 100
1 2 – 31 – 4
B.
A. The function approaches 0 as x approaches - and co.
The function approaches 1 as x approaches -o and co.
C. The function approaches 5 as x approaches -oo and co.
X D. The function approaches 25 as x approaches - and co.
9514 1404 393
Answer:
B. f(x) → 1
Step-by-step explanation:
When x is very large, the only terms that matter are the ones of highest degree. That ratio is ...
f(x) = x^2/x^2 = 1
The function value approaches 1 for very large x.