Answer/Step-by-step explanation:
All of the solutions to the equation 3x^2 - 12 = 0 are x = 12 and x = -2
Answer: False
Explanation:
[tex]3x^2-12+12=0+12[/tex]
[tex]3x^2=12[/tex]
[tex]\frac{3x^2}{3}=\frac{12}{3}[/tex]
[tex]x^2=4[/tex]
[tex]\mathrm{For\:}x^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}[/tex]
[tex]x=\sqrt{4},\:x=-\sqrt{4}[/tex]
[tex]x=2,\:x=-2[/tex]
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
There are two unique solutions to the equations (x-3)^2 = 16
Note: Each variable in the matrix can have only one possible value, and this is how you know that this matrix has one unique solution.
Answer: True
Explanation:
[tex]\mathrm{For\:}\left(g\left(x\right)\right)^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}g\left(x\right)=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}[/tex]
[tex]x=7,\:x=-1[/tex]
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Ths solutions for the equation 2(x-3)^3 - 18 = 0 are x = 6 and x = 0
Answer: False
Explanation:
[tex]2\left(x-3\right)^3-18+18=0+18[/tex]
[tex]2\left(x-3\right)^3=18[/tex]
[tex]\frac{2\left(x-3\right)^3}{2}=\frac{18}{2}[/tex]
[tex]\left(x-3\right)^3=9[/tex]
[tex]\mathrm{For\:}g^3\left(x\right)=f\left(a\right)\mathrm{\:the\:solutions\:are\:}g\left(x\right)=\sqrt[3]{f\left(a\right)},\:\sqrt[3]{f\left(a\right)}\frac{-1-\sqrt{3}i}{2},\:\sqrt[3]{f\left(a\right)}\frac{-1+\sqrt{3}i}{2}[/tex]
[tex]=\sqrt[3]{9}+3,\:x=\frac{6-\sqrt[3]{9}}{2}+i\frac{\sqrt[3]{9}\sqrt{3}}{2},\:x=\frac{6-\sqrt[3]{9}}{2}-i\frac{\sqrt[3]{9}\sqrt{3}}{2}[/tex]
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~The solutions for the equation 2(x-5)^2-8=0 are x = 7 and x = -7
Answer: False
Explanation:
[tex]2\left(x-5\right)^2-8+8=0+8[/tex]
[tex]2\left(x-5\right)^2=8[/tex]
[tex]\frac{2\left(x-5\right)^2}{2}=\frac{8}{2}[/tex]
[tex]\left(x-5\right)^2=4[/tex]
[tex]\mathrm{For\:}\left(g\left(x\right)\right)^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}g\left(x\right)=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}[/tex]
[tex]x=7,\:x=3[/tex]
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
The solutions for the equation (x + 3)^2-25 = -8 are x = 2 and x = -8
Answer: False
Explanation:
[tex]\left(x+3\right)^2-25+25=-8+25[/tex]
[tex]\left(x+3\right)^2=17[/tex]
[tex]\mathrm{For\:}\left(g\left(x\right)\right)^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}g\left(x\right)=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}[/tex]
[tex]x=\sqrt{17}-3,\:x=-\sqrt{17}-3[/tex]
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
The solutions for the equation 2(2x-1)^2=18 are x = 5 and x = -4
Answer: False
Explanation:
[tex]\frac{2\left(2x-1\right)^2}{2}=\frac{18}{2}[/tex]
[tex]\left(2x-1\right)^2=9[/tex]
[tex]\mathrm{For\:}\left(g\left(x\right)\right)^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}g\left(x\right)=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}[/tex]
[tex]x=2,x=-1[/tex]
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
The only solution for equation (2x-1)^2-49=0 is x = 4
Answer: False
Explanation:
[tex]\left(2x-1\right)^2-49+49=0+49[/tex]
[tex]\left(2x-1\right)^2=49[/tex]
[tex]\mathrm{For\:}\left(g\left(x\right)\right)^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}g\left(x\right)=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}[/tex]
[tex]x=4,\:x=-3[/tex]
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
The solutions for the equation 3(x+2)^2 - 3 = 0 are x = -3 and x = -1
Answer: True
Explanation:
[tex]3\left(x+2\right)^2-3+3=0+3[/tex]
[tex]3\left(x+2\right)^2=3[/tex]
[tex]\frac{3\left(x+2\right)^2}{3}=\frac{3}{3}[/tex]
[tex]\left(x+2\right)^2=1[/tex]
[tex]\mathrm{For\:}\left(g\left(x\right)\right)^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}g\left(x\right)=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}[/tex]
[tex]x=-1,\:x=-3[/tex]
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
The solutions for the equation 5x^2 - 180 = 0 are x = 6 and x = -6
Answer: True
Explanation:
[tex]5x^2-180+180=0+180[/tex]
[tex]5x^2=180[/tex]
[tex]\frac{5x^2}{5}=\frac{180}{5}[/tex]
[tex]x^2=36[/tex]
[tex]\mathrm{For\:}x^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}[/tex]
[tex]x=\sqrt{36},\:x=-\sqrt{36}[/tex]
[tex]x=6,\:x=-6[/tex]
~Lenvy~
Help me please jzjskksksjdjkdkdkdjjdkdkdkeskskkskskkskskkskssskskskkkss
Answer:
224
Step-by-step explanation:
To work out the area of any prism:
Area of cross sectional area x width
In this case, work out the area of the rectangle and multiply by 7
8 x 4 = 32
32 x 7 = 224
Use the law of sines to find the value of y. round to the nearest tenth. law of sines: startfraction sine (uppercase a) over a endfraction = startfraction sine (uppercase b) over b endfraction = startfraction sine (uppercase c) over c endfraction 1.4 units 1.6 units 2.5 units 2.6 units
Using the law of sine on the given triangle, we get the measure of y as given by: Option C: 2.5 units
What is law of sines?For any triangle ABC, with side measures |BC| = a. |AC| = b. |AB| = c,
we have, by law of sines,
[tex]\dfrac{\sin\angle A}{a} = \dfrac{\sin\angle B}{b} = \dfrac{\sin\angle C}{c}[/tex]
Remember that we took
[tex]\dfrac{\sin(angle)}{\text{length of the side opposite to that angle}}[/tex]
For this case, the missing image is attached below.
Applying the sine law, as we have:
The side opposite to angle Y is XZ of length y units,The side opposite to the angle Z is XY of length 2 units,The side opposite to the angle X is YZThe first two angles Y and Z are enough. (we use angle Z as the length of the side opposite to Z is known).
Using sine law, we get:
[tex]\dfrac{\sin(m\angle Y)}{y} = \dfrac{\sin(m\angle Z)}{2}\\\\y = \dfrac{\sin(75^\circ) \times 2}{\sin(50^\circ)} \approx 2.522 \approx 2.5 \: \rm units[/tex]
Thus, using the law of sine on the given triangle, we get the measure of y as given by: Option C: 2.5 units
Learn more about law of sines here:
https://brainly.com/question/17289163
PLEASE ANSWER ASAP.
A snowball has a diameter of 6 cm.
What is the volume of the snowball?
How long would it take a snowball to melt if it melts at a rate of 1.8 cubic centimeters per minute?
Answer:
Volume: 37.7cm3
It will melt in 21 minutes.
Step-by-step explanation:
Volume of a sphere: 4/3 x pi x r^2
4/3 X pi x 3^2 = 37.7cm3
37.7/1.8=20.943 minutes
Find the coordinates of the vertex of the following parabola using graphing
technology. Write your answer as an (x, y) point.
y = 3x^2-12x + 21
express 59/2^4×5^4 in decimal form.
answer asap. Ill mark brainliest
Answer:
~Male Y/n here~ I think this would be your question in decimal form,
2304.6875
(Hope this helps!)
select all fo the expressions that are equivilent to 6x + 1 -(3x-1)
6x+1-(3x-1)
6x+1-3x+16x-3x+1+1=3x+2
5. Simplify the expression,
(-2 - 5i) - (-4+6i)
2 - 11i
-2+i
-6 + 11i
-5i
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
Let's simplify ~
[tex]\qquad \sf \dashrightarrow \:( - 2 - 5i) - ( - 4 + 6i)[/tex]
[tex]\qquad \sf \dashrightarrow \: - 2 - 5i + 4 - 6i)[/tex]
[tex]\qquad \sf \dashrightarrow \: - 2 + 4 - 5i- 6i)[/tex]
[tex]\qquad \sf \dashrightarrow \:2 - 11i[/tex]
Therefore, A is the Correct choice !
A letter is randomly selected from the word “PINEAPPLE.” Which is
more likely, selecting "E” or selecting "P?" Explain your reasoning.
Answer:
e= 2/9
p= 3/9
Step-by-step explanation:
p is the answer
The more likely probability is selecting the letter P from the word “PINEAPPLE.”
What is Probability?The probability that an event will occur is measured by the ratio of favorable examples to the total number of situations possible
Probability = number of desirable outcomes / total number of possible outcomes
The value of probability lies between 0 and 1
Given data ,
To determine which letter is more likely to be selected, "E" or "P," we need to compare the number of occurrences of each letter in the word "PINEAPPLE."
In the word "PINEAPPLE," there is only one occurrence of the letter "E."
And , there are three occurrences of the letter "P" in the word "PINEAPPLE."
Therefore, the probability of selecting E = 2/9
And , the probability of selecting P = 3/9
Hence , it is more likely to select the letter P than E
To learn more about probability click :
https://brainly.com/question/17089724
#SPJ2
A local candy shop sells boxes of chocolate for $3.75 each. If a customer purchases six or more boxes, the cost is only $3.25 per box, plus the customer has an additional $5 fee per order. If C(x) represents the total cost and x represents the number of boxes, which of the following functions best models this scenario?
The piecewise function that models the scenario is:
c(x) = $3.75*x + $5 if x < 6
c(x) = $3.25*x + $5 if x ≥ 6.
How to write a piecewise function?
A piecewise function is a function that behaves differently in different intervals of the domain, like this one, where the cost per box changes depending on the number of box.
The function in this case, if we define x as the number of boxes bought, is:
c(x) = $3.75*x + $5 if x < 6c(x) = $3.25*x + $5 if x ≥ 6.Where the cost per box changes for x equal or larger than 6.
If you want to learn more about piecewise functions, you can read:
https://brainly.com/question/3628123
56 is what percent of 16?
Pls give me the answer and not a random website :)
Answer:
350%
56/100 x 100/100
56x100/16 x 100 would equal 350/100
An equilateral triangle with side lengths equal to 12 StartRoot 3 EndRoot units is inscribed in a circle. Half a side length of the equilateral triangle is 6 StartRoot 3 EndRoot units, so the apothem is units long and the radius of the circle is units long. Each segment of the circle has an area equal to the difference between the areas of the sector and triangle, or ( π − StartRoot 3 EndRoot) units2.
The apothem (x) is 11.62 units, the radius of the circle is 12 units, and the area of each segment is 48π − 23.25√3 square units.
What is a circle?It is a locus of a point drawn equidistant from the center. The distance from the center to the circumference is called the radius of the circle.
An equilateral triangle with side lengths equal to 12√3 units is inscribed in a circle.
And half a side length of the equilateral triangle is 6√3 units.
The apothem (x) is units long and the radius of the circle will be
x² = (9√3)² - (6√3)²
x² = 243 - 108
x² = 135
x = 11.62
And the radius of the circle will be
[tex]\begin{aligned} \cos 30 &= \dfrac{6\sqrt3}{r}\\\\\dfrac{\sqrt3}{2}&= \dfrac{6\sqrt3}{r}\\\\r &= 12 \end{aligned}[/tex]
Each segment of the circle has an area that will be
Area = the difference between the areas of the sector and triangle
Area = the areas of the sector - the areas of the triangle
The area of the sector will be
[tex]\rm Sector's \ area= \dfrac{120}{360} \pi *12^2 \\\\Sector's \ area= 48\pi[/tex]
The area of the triangle will be
[tex]\rm Triangle's \ area = \dfrac{1}{2*3} * 11.62 * 12\sqrt3\\\\Triangle's \ area = 23.25\sqrt3[/tex]
Then the area of each segment will be
Segment area = 48π − 23.25√3
More about the circle link is given below.
https://brainly.com/question/11833983
Answer:
1. 6
2. 12
3. 48
4. 36
Step-by-step explanation:
Look at the PICTURE and please respond FAST to get MARKED best.
Answer:
y = 45, x = 25
Step-by-step explanation:
Since 120 and (2y + 30) are vertical angles, (2y + 30) will equal 120.
2y + 30 = 120, Subtract by 30 on both sides
2y = 90, Divide 90 by 2
y = 45
Since 120 and (2x + 10) equal a straight line, it's a supplementary angle. Supplementary angles are equal to 180. Then you do 180 - 120, which equals 60. That means (2x + 10) equals 60.
2x + 10 = 60, Subtract 10 by both sides
2x = 50, Divide 50 by 2
x = 25
Which expression is equivalent to 173. 1710 ?
A 173+10
th
(В
6 173-10
© 173.10
O
1710
Answer:
option C
Step-by-step explanation:
hope this help u
For each value of u, determine whether it is a solution to 6u-1< −19. u Is it a solution? Yes or No 5 −4 −3 8
Answer:
No it is not a solution to 6u-1<-19
A movie director needs to purchase 325 films. The film has a volume of 965 in', and the density of each film is 7.6 g/in?. Each film can be purchased for $0.34 per kilogram. What is the cost of the films?
The volume of the films is the amount of film in the case
The cost of the films is $810.41
How to determine the cost of the films?The given paramerers are:
Volume = 965 cubic inchesDensity = 7.6 gram per cubic inchesThe mass of the films is calculated as:
Mass = Density * Volume
This gives
Mass = 7.6 * 965 g
Evaluate
Mass = 7334 g
Express as kg
Mass = 7.334 kg
The unit cost is:
Unit cost = $0.34 per kilogram
The number of films is
n = 325
So, the total cost
Total = 325 * 0.34 * 7.334
Evaluate
Total = 810.41
Hence, the cost of the films is $810.41
Read more about unit rates at:
https://brainly.com/question/26059245
which is closer to -3/5 … 2/5, -0.2, -4/5, 0.6
-3 : 5 = - 0,6
so it will be - 4/5 (= - 0,8)
Condense the logarithmic expression using logarithmic properties.
3 log x + 2 log y - log y
Answer: [tex]log (x^3y )[/tex]
Step-by-step explanation:
First we want to make the coefficients of the log the exponents of what is in the log
[tex]3 log (x) + 2 log (y) - log (y)\\log (x^3) + log (y^2) - log (y)[/tex]
Now adding two log with the same base is the same as multiplying what you are taking the log of
[tex]log (x^3) + log (y^2) - log (y)\\log (x^3y^2) - log (y)[/tex]
Now subtracting two logs with the same base is the same as dividing what you are taking the log of
[tex]log (x^3y^2) - log (y)\\log (\frac{x^3y^2}{y} )[/tex]
Now we simplify
The [tex]y^2[/tex] cancels out the y in the denomiator
[tex]log (x^3y^2) - log (y)\\log (x^3y )[/tex]
Step-by-step explanation:
xlog3+ylog2-ylog
log3×log2 -ylog
log6-ylog
Find the hypotenuse, , of the triangle
Answer:
hypoténuse = 15 in
b ² = 15² - 9²
b ² = 144
b = √144 = 12
Perimeter = 15 + 9 + 12 = 36 inches
Step-by-step explanation:
[tex]\Large\maltese\underline{\textsf{A. What is Asked}}[/tex]
Find the missing side of the triangle.
[tex]\Large\maltese\underline{\textsf{B. This problem has been solved!}}[/tex]
We should find the leg of this right triangle, not the hypotenuse.
The hypotenuse, the longest side, is already given to us.
We can find it using Pythagoras' Theorem:
[tex]\Large\textbf{$a^2+b^2=c^2$}[/tex].
We know b and c, we need to find a.
[tex]\bf{a^2+9^2=15^2}[/tex] | square
[tex]\bf{a^2+81=225}[/tex] | subtract 81
[tex]\bf{a^2=144}[/tex] | square-root both sides
[tex]\bf{a=\pm12}[/tex]
And we should automatically cross out this extraneous solution of "a=-12", because side lengths can't be negative!
[tex]\cline{1-2}[/tex]
[tex]\bf{Result:}[/tex]
[tex]\bf{a=12}[/tex]
[tex]\LARGE\boxed{\bf{aesthetic\not1\theta\ell}}[/tex]
Which choices are equivalent to the expression below? Check all that apply.
x + 2x + 9x
O A. 12x
O B. 12y3
O C. 12
D. (1 + 2+ 9)x
SUBMIT
please just answer don’t explain
Answer:
13 C 14 D 15 A 16 B
Step-by-step explanation:
Sorry thats all i know hope you found this helpful
Use the multiplier method to increase 88 pounds by 14% you must show your working
Answer:
100.32
Step-by-step explanation:
First, we have to find 14% of 88
14% of 88 is = 88 x 14/100
= 12.32
Now we have to increase the number 88 by 14%, which means we have to add 14% of 88 (12.32) to the given number (88)
88 + (14% of 88)
= 88 + 12.32
=100.32 pounds
Mrs. Orrie surveyed all classes that he teaches about the three different types of music thay students most listen to. His findings are displayed in the Venn diagram below.
Part A: Determine the probability that a student will like Top-Hits.
Part B: Determine the probability that a student will like country or R&B.
Part C: Determine the probability that a student will not like all three generes of music.
Using the probability concept, it is found that there is a:
A. 0.5116 = 51.16% probability that a student will like Top-Hits.
B. 0.7907 = 79.07% probability that a student will like country or R&B.
C. 0.9186 = 91.86% probability that a student will not like all three generes of music.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
According to the Venn diagram, there is a total of 18 + 8 + 11 + 7 + 24 + 1 + 17 = 86 students.
Item a:
18 + 11 + 7 + 8 = 44 like top hits, hence:
p = 44/86 = 0.5116.
0.5116 = 51.16% probability that a student will like Top-Hits.
item b:
24 + 11 + 7 + 1 + 17 + 8 = 68 like country of R&B, hence:
p = 68/86 = 0.7907.
0.7907 = 79.07% probability that a student will like country or R&B.
Item c:
Only 7 like all three, hence 86 - 7 = 79 do not.
p = 79/86 = 0.9186.
0.9186 = 91.86% probability that a student will not like all three generes of music.
More can be learned about probabilities at https://brainly.com/question/14398287
What is the value of f(g(3))?
PLS HELPpppppppppppp ;0
Answer:
reflection
Step-by-step explanation:
by examination
Answer:
A reflection off the x axis
Step-by-step explanation:
Hope this helps!!!
7(g + 2h)
What is an equivalent expression
Answer:
7g+14h
Step-by-step explanation:
hope it helped you
Answer:
7g + 14h
Step-by-step explanation:
What is an equivalent expression?
7(g + 2h)
7(g) + 7(2h) <== multipe both terms by 7
7g + 14h
Hope this helps!
A textile factory uses a 43 pound bucket of dye to color a roll of fabric that is
1,067 feet long. if the company has 4 buckets of dye, can it color 5 rolls of
fabric?
Answer:
No
Step-by-step explanation:
At one bucket per roll, four buckets will color four rolls, not 5.
__
The company cannot color 5 rolls of fabric with 4 buckets of dye.
need help on this ratio question 4:8 in simplist form then into a fraction?
Answer:
4:8 in simplified form would be 1/2
Step-by-step explanation:
Think of 4:8 as a fraction, so 4/8. Now, you can reduce it to the lowest form, which is 1/2. How? 4 is the numerator, and 8 is our denominator. Now, we divide 4 by 8. 4 divided by 8 equals 0.5, where 0.5 is converted into 1/2!
8. Higher Order Thinking Colby's dog gave birth to 6 puppies. Each puppy in the litter now has a mass of about 3 kilograms. About how much is the mass of the litter of puppies in kilograms? In grams? Remember: 1,000 grams = 1 kilogram.
Answer:
18 kilograms and 18000 grams
Step-by-step explanation:
the answer in kilograms is 18. the reason why is 6 puppies x 3 kilograms per = 18. Next we need to convert 18 kilograms to grams. 1 kilo = 1,000. multiply 18 x 1,000 = 18000 grams. Please let me know if this helped!!
We want to find the zeros of this polynomial:
p(x) = (x+2) (2x^2 + 3x-9)
Answer:
x = - 2, x = - 3, x = [tex]\frac{3}{2}[/tex]
Step-by-step explanation:
to find the zeros equate p(x) to zero , then
(x + 2)(2x² + 3x - 9) = 0 ← factor the quadratic
(x + 2)(x + 3)(2x - 3) = 0
equate each factor to zero and solve for x
x + 2 = 0 ⇒ x = - 2
x + 3 = 0 ⇒ x = - 3
2x - 3 = 0 ⇒ 2x = 3 ⇒ x = [tex]\frac{3}{2}[/tex]
7.5
A
7
10
12.5
3. sin A:
COS A:
tan A:
What is Sin
Answer:
sin is something that we say, think, or do, that displeases God
Step-by-step explanation:
hoped this helped! :)