[tex] {(x + 3)}^{2}(x - 2)(x + 4)(x - 4)[/tex]
Step-by-step explanation:
[tex] {(x + 3)}^{2} (x - 2) \: \: \: (x + 3)( {x}^{2} - 16)[/tex]
The first one can be kept in that form while the second can be factored as
[tex](x + 3)(x + 4)(x - 4)[/tex]
so we can see that the LCM is
[tex] {(x + 3)}^{2}(x - 2)(x + 4)(x - 4)[/tex]
8. Which of the following cannot be written as an expression? *
F. six times a number less nine
G. eight times the quotient of 6 and 3
H. the difference between a number and 12
J. five times a number is 30
Answer:
f
Step-by-step explanation:
because it's less than mine not less nine
Please help me with this one!!
Answer:
I think the answer is C or D
the circumference of a circle is 4π ft. find its diameter in feet
Answer:
4 is the diameter
Step-by-step explanation:
Given:
C = 4π
Formula for circumference:
C = 2πr
Work:
C = 2πr
4π = 2πr
r = (4π)/(2π)
r = 2
Diameter:
d = 2r
d = 2(2)
d = 4
2x-8=x+4. What would x be
[tex]2x - 8 = x + 4[/tex]
Collecting like terms,
[tex]2x - x = 4 + 8[/tex]
Since the signs change when its position changes.
[tex]x = 8 + 4 \\ x = 12[/tex]
Answer:
The value of x would be 12.
Step-by-step explanation:
2x - 8 = x + 4
2x - x = 4 + 8
x = 12
Which Movie has a greater median?
Answer:
movie A
hope this helps
have a good day :)
Step-by-step explanation:
Answer:
Movie A
Step-by-step explanation:
Each base in this right prism-like figure is a quarter of a circle with a radius of 2m.
What is the volume of the figure?
Give an exact answer in terms of pi.
Answer:
[tex]volume = 10\pi m^3[/tex]
Step-by-step explanation:
Volume of a prism = Base Area x height
Base is a quarter of a circle.
[tex]Area \ of \ circle = \pi r^2\\\\r = 2m\\\\Area \ of \ quarter \ of \ a \ circle = \frac{1}{4} \pi r^2 = \frac{1}{4}\pi \times 4 = \pi m^2[/tex]
Base Area = π square meters.
Therefore ,
[tex]Volume = Base Area \times height = \pi \times 10 = 10\pi m^3[/tex]
Evaluate the arithmetic series described
1+3+5+ 7. S8
116
58
128
Answer:
64
Step-by-step explanation:
1=3+5+7....S8 and ..... is 64
How many solutions are in the graph
Answer:
Infinetly Many Solutions
Step-by-step explanation:
Because the arrows show the the answers are never ending.
Which equation results from adding the equations in this system?
-2x+y = 8
5x-y=-5
O 7x=13
O 7x=3
O 3x=3
3x= 13
Answer: 3x=3
Step-by-step explanation: Let's divide this into parts--
1. Adding the x variables: -2x+5x or 5x-2x = 3x.
2. Adding the y variables: y-y or -y+y = 0. (The negative and the positive y cancel each other out.)
3. Adding the numbers: 8-5 or -5+8 = 3.
Now just put it back into an equation: 3x + 0 = 3.
We don't need to add the 0, so the equation changes into 3x = 3.
Write the algebraic expression for ‘x plus five is twenty three’
Answer:
x + 5 = 23
Step-by-step explanation:
Just write it like how you say it.
The algebraic expression for the given phrase is x+5=23.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
The given phrase is "x plus five is twenty three"
Here, the equation is x+5=23
The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.
Transpose 5 to the RHS of the equation, we get
x=23-5
x=18
Therefore, the x value is 18.
To learn more about an equation visit:
https://brainly.com/question/14686792.
#SPJ3
The deli gets 1212 -pound blocks of cheese. They slice the cheese into \frac{1}{4} 4 1 - pound and \frac{1}{2} 2 1 - pound packages to sell to customers. How many \frac{1}{2} 2 1 - pound packages of cheese can the deli make with 1212 pounds of cheese?
Answer:
24
Step-by-step explanation:
Based on the question given :
Total pounds of cheese = 12
These cheese are sliced into 1/4 pounds and 1/2 pounds packages.
What the question requests is the number of 1/2 pounds fraction we can get from the total 12 pounds of cheese.
This means we aren't cutting out 1/4 pounds fraction from this package as the question didn't specify.
Hence, the number of 1/2 pounds fraction obtainable from 12 pounds of cheese I s:
We divide the 12 pounds cheese by 1/2
This gives :
12 ÷ 1/2 ; 12 / 1/2
÷ change to multiplication ond the reciprocal of the denominator is used
12 * 2 /1 = 24 /1
We Obtain 24 1/2-pound cheese
A relay race covers 1\dfrac121 2 1 1, start fraction, 1, divided by, 2, end fraction kilometers, and each runner on a team will run \dfrac14 4 1 start fraction, 1, divided by, 4, end fraction of a kilometer. I NEED A ANSWERRRR
Answer:
6 runners
Step-by-step explanation:
Complete question
A relay race covers 1 1/2 kilometers, and each runner on a team will run 1/4 of a kilometer. How many runners are needed for a team?
Given that;
1 runner = 1/4 km
If a relay race covers 1 1/2 km, hence;
x runner = 1 1/2 km
Divide both expressions
1/x = (1/4)÷(1 1/2)
1/x = 1/4 ÷ 3/2
1/x = 1/4 * 2/3
1/x = 2/12
Cross multiply
2x = 12
x = 12/2
x = 6
Hence 6 runners are needed for the race
Identify the like terms in the expression 7x+4y+3y+7
a 7x and 7
b 4y and 3y
c 7
d 7, 4, 3
i need help asap please!!!!!!!!!!!!!!!!!!
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Explanation:
The length of 17 cm and slanted length of 10 cm are not used at all. They are likely thrown in as a distraction.
Instead, we focus on the horizontal base of 10 cm and the vertical height of 9 cm. The base and height are always perpendicular to one another.
The area of the triangle is therefore...
area = base*height/2
area = 10*9/2
area = 90/2
area = 45 square cm
It doesn't matter that this triangle is obtuse, the same area formula applies to any triangle.
------------
A longer method would have you compute the area of the dashed triangle, and the area of the two combined triangles (the largest overall triangle). Subtracting the two would lead to the answer of 45 cm^2. You'll need the pythagorean theorem to find the base of the dashed triangle, which then helps find the base of the largest triangle overall as well. At this point is when the 17 and 10 come into play, but I find the first method is much easier.
Answer:
C. 50 [tex]cm^2[/tex]
Step-by-step explanation:
area of big triangle - area of small triangle
find missing side lengths with pythagorean theorem:
[tex]9^2 + b^2=10^2\\\\81+b^2=100\\\\b^2= 19\\\\b=\sqrt{19}\\[/tex]
[tex]10^2+b^2=17^2\\\\100+b^2=289\\\\b^2=189\\\\b=\sqrt{189}[/tex]
find area:
1/2(10)([tex]\sqrt{189}[/tex] ) - 1/2([tex]\sqrt{19}[/tex] )(9)
= 49.124
which is closest to 50 [tex]cm^2[/tex]
Find the missing side or angle.
Round to the nearest tenth.
B=45°
a=9
c=19
b=[ ]
Answer:
[tex]14.1[/tex]
Step-by-step explanation:
Since we have two sides of a triangle and the angle between them, we can use the Law of Cosines.
For any triangle, the Law of Cosines states:
[tex]b^2=a^2+c^2-2ac\cos B[/tex], where [tex]a[/tex], [tex]b[/tex], and [tex]c[/tex] are all interchangeable.
Substituting given values, we have:
[tex]b^2=9^2+19^2-2(9)(19)\cos 45^{\circ},\\b^2=200.169480834,\\b\approx \boxed{14.1}[/tex]
8. Rename the quadratic function f(x) = -2(x + 4)2 - 5 in standard form. A. f(x) = -2x2 + 16x - 37 G. f(x) = -2x2 – 16x + 27 B. f(x) = -2x2 + 16x + 27 D, f(x) = -2x2 – 16x - 37
Answer:
see explanation
Step-by-step explanation:
f(x)= -2(x²+8x+16)-5
[tex] -2 {x}^{2} - 16x - 32 - 5 \\ f(x)= - 2 {x}^{2} - 16x - 37[/tex]
Please help its due in 15 min hurry 100 points
Answer:
yes
Step-by-step explanation:
What is the solution set for the inequality below? 8x – 3 < 29
Answer:
[tex] solution \: set = \{ ... - 2, \: - 1, \: 0, \: 1, \: 2, \: 3\}[/tex]
Step-by-step explanation:
[tex]8x - 3 < 29 \\ \\ 8x < 29 + 3 \\ \\ 8x < 32 \\ \\ x < \frac{32}{8} \\ \\ x < 4 \\ \\ solution \: set = \{ ... - 2, \: - 1, \: 0, \: 1, \: 2, \: 3\}[/tex]
10 points. Please don't give a answer that doesn't make sense.
TJ-Maxx offered a 36% discount off the original
price of a head board. The amount of the discount
is $9. What is the regular price of the head board?
I DONT WANT TO GO TO SUMMER SCHOOL
Answer:
$25.00
Step-by-step explanation:
well start of by using the rules of 3.
( always remeber that multiply is diagonal and divide left by one on the left)
Answer:
Step-by-step explanation:
?????????/
which values are solutions to the inequality -3(x)-4<2
Answer:
x>-2
Step-by-step explanation:
So, lets start by distrubuting the -3 to x:
-3x-4<2
Then lets just start solving. First lets add 4 to both sides to get -3x alone:
-3x<6
Now lets divide -3 from both sides to get x alone:
x<-2
There is one thing we must remember, however.
When dividing a inequality by a negative, the sign is flipped.
So in this case, the < is now >:
x>-2
This basically means a solution is any value greater than -2!
Hope this helps!
Please help me with 1,2,3,4 and show me how you get it the answers
Answer:
Step-by-step explanation:
Use the formula of distance between the two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex],
Distance = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
1. Distance between A(3, 4) and B(8, 12),
AB = [tex]\sqrt{(8-3)^2+(12-4)^2}[/tex]
AB = [tex]\sqrt{25+64}[/tex]
= [tex]\sqrt{89}[/tex]
≈ 9.43
2. Distance between C(-2, 10) and D(3, -2),
CD = [tex]\sqrt{(3+2)^2+(-2-10)^2}[/tex]
= [tex]\sqrt{25+144}[/tex]
= [tex]\sqrt{169}[/tex]
= 13.00
3. Distance between X(20, 4) and Y(17, 0),
XY = [tex]\sqrt{(20-17)^2+(4-0)^2}[/tex]
= [tex]\sqrt{3^2+4^2}[/tex]
= [tex]\sqrt{25}[/tex]
= 5.00
4. Distance between E(2, -1) and M(6, 9),
EM = [tex]\sqrt{(2-6)^2+(-1-9)^2}[/tex]
= [tex]\sqrt{16+100}[/tex]
= [tex]\sqrt{116}[/tex]
= 10.77
show your work please!
Answer:
[tex](\dfrac{1}{4})^{\dfrac{-3}{2}}[/tex] = 8
Step-by-step explanation:
The given expression is :
[tex](\dfrac{1}{4})^{\dfrac{-3}{2}}[/tex]
We know that,
[tex]\dfrac{1}{x}=x^{-1}[/tex]
So,
[tex](\dfrac{1}{4})^{\dfrac{-3}{2}}=(\dfrac{1}{2^2})^{\dfrac{-3}{2}}\\\\=(2^{-2})^{\dfrac{-3}{2}}\\\\=(2^{-1})^{-3}\\\\=2^3\\\\=8[/tex]
So, the value of the given expression is 8.
c=5/9(f-32) solve in c
Answer:
it should be c = 5f/9 - 160/9 if solving for c.
True or False? The lateral surface area is the same as the total surface area.
Answer:
Lateral surface area means curved surface area
Total surface area means curved surface area + surface area of the bottom and top.
So i think its false
Step-by-step explanation:
What is the surface area of a cylinder with radius x + 3 and height x + 11?
Answer:
A≈263.89
Step-by-step explanation:
Solution
A=2πrh+2πr2=2·π·3·11+2·π·32≈263.89378
Daniel drew a toy from a treasure chest containing 30 different toys. He selected a bouncy ball without replacement and then selected a key chain. What is the probability this could occur
Answer:
[tex]Pr = \frac{1}{870}[/tex]
Step-by-step explanation:
Given
[tex]n =30[/tex]
Required
Probability of selecting 2 toys of different types
From the question, we understand that all toys are different i.e. 1 of each type.
And the selection is without replacement;
So, after the first toy is selected; there are n - 1 toys left.
So, the probability is:
[tex]Pr = \frac{1}{n} * \frac{1}{n - 1}[/tex]
Substitute [tex]n =30[/tex]
[tex]Pr = \frac{1}{30} * \frac{1}{30- 1}[/tex]
[tex]Pr = \frac{1}{30} * \frac{1}{29}[/tex]
[tex]Pr = \frac{1}{30*29}[/tex]
[tex]Pr = \frac{1}{870}[/tex]
9 more than the product of 3 and 12
Answer:
393
Step-by-step explanation:
(32)(12) + 9
This comes out to 384 + 9 = 393
What is the value of x?
Enter your answer in the box.
x =
What is the value of x?
Answer:
x = 5
Step-by-step explanation:
using the Pythagorean theorem:
x² = 13² - 12² = 169 - 144 = 25
x = √25 = 5
Answer:
x = 5.
Step-by-step explanation:
For a right triangle, use the Pythagorean Theorem, a² + b² = c², where a and b are the sides, and c is the hypotenuse.
a² + b² = c²
x²+ 12² = 13²
x² + 144 = 169
Subtract 144 from both sides.
x² = 25
x = 5.
Proof:
a² + b² = c²
5² + 12² = 13²
25 + 144 = 169
169 = 169.
Given that the measure of ∠ is 45°, and the measure of ∠ is 49°, find the measure of ∠.
Answer:
86º
Step-by-step explanation:
If this is a trriangle the sum of the angles is 180º
180 - 45 - 49 = 86º