Answer:
30
Step-by-step explanation:
1/2(12)(5)
Answer:
30
Step-by-step explanation:
The area of a triangle is 1/2 bh
b= base, in this case 12 cm
h= height, in this case 5 cm
so you multiply 5 times 12 and you get 60
You take that 60 and half it to get your answer of 30.
PLEASE HELP!! QUICK!! WORTH 80 POINTS!!!
A?
B?
C?
D?
and proof.
Answer:
C
Step-by-step explanation:
Key skills needed: Inequalities
1) We are given that inequality.
The inequality is b ≤ 11 (any variable would work instead of "b")
--> It is "≤" and not "<" since there is a filled/shaded dot on the 11.
2) This means we solve all the ones with less than or equal to symbols.
A does not have a ≤ symbol, so A cannot be it
3) Solve each one:
B --> -k [tex]\leq[/tex] 11
Divide by -1 on both sides and get [tex]k \geq -11[/tex] B cannot be it
C --> 44 ≥ b + 33
Subtract 33 from both sides and get b [tex]\leq[/tex] 11
Therefore C is your answer C can be it!!
If you want to check D --> x -11 ≤ 11
Add 11 to both sides and get x ≤ 22 D cannot be it
Hope you understood and have a nice day!!
Answer:
C. 44 ≥ b+33
Step-by-step explanation:
Lets think about this. It really doesn't matter what the variable is also, we should immediately disregard A because its not a greater than or equal to sign. You should also, you how I can to this conclusion was that, SHADED circle in are always greater than or equal to or less than or equal to. EMPTY circle means greater than or less than. Therefore, you have already taken down A. B on the other hand would've worked if not for the fact that the variable is a negative. D on the other hand if you do the math of what the number line would be 11 -11=0 while it is less than or equal to 11. To get 11 or anything else other than below 0 you would fall off the number line. Therefore, because 44≥b+33 would be 44≥11+33 or anything less would work.
C. 44 ≥ b + 33
suppose that the functions s and t are defined for all real numbers x as follows.
s(x)= x+6
t(x)= 4x2
write the expressions for (s.t)(x) and (s-t)(x) and evaluate (s+t)(-3).
Answer:
[tex](s.t)(x) = 4x^2+24x^2\\(s-t)(x) = x+6-4x^2\\(s+t)(-3) = 39[/tex]
Step-by-step explanation:
Given functions are:
[tex]s(x)= x+6\\t(x)= 4x^2[/tex]
We have to find:
(s.t)(x) => this means we have to multiply the two functions to get the result.
So,
[tex](s.t)(x) = s(x)*t(x)\\= (x+6)(4x^2)\\=4x^2.x+4x^2.6\\=4x^3+24x^2[/tex]
Also we have to find
(s-t)(x) => we have to subtract function t from function s
[tex](s-t)(x) = s(x) - t(x)\\= (x+6) - (4x^2)\\=x+6-4x^2[/tex]
Also we have to find,
(s+t)(-3) => first we have to find sum of both functions and then put -3 in place of x
[tex](s+t)(x) = s(x)+t(x)\\= x+6+4x^2[/tex]
Putting x = -3
[tex]= -3+6+4(-3)^2\\=-3+6+4(9)\\=3+36\\=39[/tex]
Hence,
[tex](s.t)(x) = 4x^2+24x^2\\(s-t)(x) = x+6-4x^2\\(s+t)(-3) = 39[/tex]
Which of the following describes the end behavior of the function ƒ(x) = –5x3 + 3x2 + x – 9?
Question 4 options:
A)
As x → –∞, y → +∞ and as x → +∞, y → –∞
B)
As x → –∞, y → +∞ and as x → +∞, y → +∞
C)
As x → –∞, y → –∞ and as x → +∞, y → –∞
D)
As x → –∞, y → –∞ and as x → +∞, y → +∞
Question 5 (5 points)
What are the real solutions to the equation 4x3 – x2 – 4x + 1 = 0?
Question 5 options:
A)
x = –1, 1
B)
x = –1, 1∕4, 1
C)
x = –1, –1∕4, 1
D)
x = –1, 0, 1∕4
Question 6 (5 points)
Find the zeros of ƒ(x) = x3 + 6x2 + 8x.
Question 6 options:
A)
x = 0, 2, 4
B)
x = –2, –4
C)
x = 2, 4
D)
x = 0, –2, –4
Question 7 (5 points)
Determine if the function ƒ(x) = 3x5 – 9 is even, odd, or neither.
Question 7 options:
A)
Odd
B)
Not enough information given
C)
Neither odd nor even
D)
Even
Question 8 (5 points)
image
The graph is that of a fourth-degree polynomial function. Which of the following correctly shows three factors of the function?
Question 8 options:
A)
(x – 3)(x + 2)(x + 5)
B)
(x + 2)(x – 5)
C)
(x – 3)(x + 5)
D)
(x + 3)(x – 2)(x – 5)
Question 9 (5 points)
For a given function ƒ(x), the translation ƒ(x – 2) + 3 means the function will shift
Question 9 options:
A)
left 2 and downward –3.
B)
right 2 and upward 3.
C)
left 3 and downward 2.
D)
right 3 and upward 2.
Question 10 (5 points)
Which of these is a factor of x3 – 3x2 ?
Question 10 options:
A)
x + 2
B)
x – 3
C)
x – 2
D)
x + 3
The solutions to the functions are
a) x → –∞, y → +∞ and as x → +∞, y → –∞
b) The real solutions to the equation 4x³ - x² - 4x + 1 = 0 is x = -1 , 1 , 1/4
c) The zeros of the function f ( x ) = x³ + 6x² + 8x is x = 0, -2, -4
d) The function is odd
e) The three factors of the function are (x - 3)(x + 2)(x + 5)
f) The translation f (x - 2) + 3 means the function will shift right 2 and upward 3
g) The factor of the function is a = x - 3
What is Factorizing?Brackets should be expanded in the following ways to factorize an expression
For an expression of the form A = a ( b + c ) , the expanded version is given by A = ab + ac, i.e., multiply the term outside the bracket by everything inside the bracket
For an expression of the form A = ( a + b ) ( c + d ) , the expanded version is given by A = ac + ad + bc + bd, in other words everything in the first bracket should be multiplied by everything in the second.
Given data ,
a)
Let the function be represented as f ( x )
Now , the value of f ( x ) = -5x³ + 3x² + x - 9
The end behavior of the function is given as
As x → –∞, y → +∞ and as x → +∞, y → –∞
b)
Let the function be represented as f ( x )
Now , the value of f ( x ) = 4x³ - x² - 4x + 1
On factorizing the equation , we get
f ( x ) = x² ( 4x - 1 ) - 1 ( 4x - 1 )
f ( x ) = ( x² - 1 ) ( 4x - 1 )
Taking the common factors of the expression , we get
f ( x ) = ( x + 1 ) ( x - 1 ) ( 4x - 1 )
f ( x ) = ( x - 1 ) ( x + 1 ) ( x - 1/4 )
Therefore , the solutions of the equation are x = -1 , 1 , 1/4
c)
Let the function be represented as f ( x )
Now , the value of f ( x ) = x³ + 6x² + 8x
On factorizing the equation , we get
f ( x ) = x ( x² + 6x + 8 )
Taking the common factors of the expression , we get
f ( x ) = x ( x + 4 ) ( x + 2 )
So , the solution of the function are x = 0, -2, -4
d)
The given function f ( x ) = 3x⁵ - 9 is neither odd nor even function
e)
The fourth degree polynomial function is A = ( x + 3 ) ( x - 2 ) ( x - 5 )
f)
Let the function be f ( x )
Now , the translated function is g ( x ) = f ( x - 2 ) + 3
The translation of f (x - 2) + 3 means the function will shift right 2 and upward 3
g)
The factors of the function f ( x ) = x³ - 3x² is f ( x ) = x² ( x - 3 )
Hence , the functions are solved and factorized
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Are the two figures similar? If so, give the similarity ratio of the smaller figure to the larger figure.
Answer:
yes 1:2
Step-by-step explanation:
Set up the ratio
Cylinder(1) = 6.4:3.2
Cylinder(2) = 4:2
Is 6.4/3.2 = 4/2?
12.8 = 12.8!
So yes.
Graph the line
Through (6, 0), m= -1/2
Answer:
The equation of the line would be y = -1/2x + 3. You can use this to make a graph that looks like this:
Mr. Starnes and his wife have 6 grandchildren: Connor, Declan, Lucas, Piper, Sedona, and Zayne. They have 2 extra tickets to a holiday show, and will randomly select which 2 grandkids get to see the show with them. Find the probability that at least one of the girls (Piper and Sedona) get to go to the show.
Answer:
the probability that at least one of the girls (Piper and Sedona) get to go to the show is 0.533
Step-by-step explanation:
The computation of the probability that have at least one of the girl get to go is shown below;
[tex]= \frac{^2C_1 \times ^4C_1}{^6C_2} \\\\= \frac{8}{15}\\\\= 0.53333[/tex]
Hence, the probability that at least one of the girls (Piper and Sedona) get to go to the show is 0.533
So the same is relevant
Probability that at least one of the girls (Piper and Sedona) get to go to the show = 1/5
The number of grandchildren = 6
The number of girls = 2
Two grandkids out of 6 are to be selected
Number of ways of choosing 2 grandkids out of 6 is 6C2
[tex]6C2=\frac{6!}{(6-2)!2!} \\\\6C2=\frac{6!}{4! \times 2!} \\\\6C2 = 15[/tex]
Number of ways of selecting 2 grandkids out of 6 = 15 ways
Number of ways of selecting 1 out of the two girls =2C1
[tex]2C1= 2[/tex]
Number of ways of selecting 1 out of the two girls = 2 ways
Number of ways of selecting of selecting both girls =2C2
Number of ways of selecting of selecting both girls = 1 way
Probability of selecting 1 out of the two grandkids = 1/15
Probability of selecting both girls = 2/15
Probability that at least one of the girls (Piper and Sedona) get to go to the show = 1/15 + 2/15
probability that at least one of the girls (Piper and Sedona) get to go to the show = 3/15
Probability that at least one of the girls (Piper and Sedona) get to go to the show = 1/5
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If the ratio between boys and girls is 3 to 2 if there are 12 boys how many girls are there
Answer:
the ratio is 12:8 boys to girls
Step-by-step explanation:
if the amount of boys is 12 then multiply the 3 by 4 and using distribution multiply the 2 by 4 as well to get 8 girls
1. You notice that you only have 13 pound of cheese and 34 cup of milk. How much
more cheese and milk will you need to get?
2. What if the store only sells the cheese in 1-pound packages and the milk in 4-cup Cartoons? How many of each would u need to buy, and how much would you have left over?
3. Now you decide to mix the dry mustard and salt ahead of time to make a seasoning mix. Add the two ingredients to show how much of the seasoning mix you have.
Answer:
Yoyo
Step-by-step explanation:
The state fair is a popular field trip destination. This year the senior class at High School A and the
senior class at High School B both planned trips there. The senior class at High School A rented and
filled 8 vans and 8 buses with 240 students. High School B rented and filled 4 vans and 1 bus with 54
students. Every van had the same number of students in it as did the buses. Find the number of students
in each van and in each bus.
Answer:
8 students in a van and 22 in a bus
Step-by-step explanation:
lets use V as the number of students in each van and B as the number in each bus. hs A has filled 8 vans and 8 buses with 240 students in total so 8*V+8*B=240. We can divide by 8 and we will get that V+B=30 so B=30-V. hs B rented 4vans and 1 bus for 54 students so 4*V+1*B=54. we alredy know that B=30-V so we can substitute that in the 2nd equation so 4*V+30-V=54. simplify and we'll get that 3V=24, V=8 and B=30-V=30-8=22
Find the inequality by the graph
Answer:
y > 1/3 x -3
Step-by-step explanation:
slope = 1/3
y intercept = -3
equation: y > 1/3 x -3
4x - 3y = 11
2x - 5y = 25
solve using elimination and substitution method
Answer:
hope it helps forget about my writing
Answer:
(-1.43, -5.57)
Step-by-step explanation:
Elimination:
First we need to line up x or y to be the opposite so they can be eliminated:
4x - 3y = 11
-2( 2x - 5y = 25) which is
-4x + 10y = -50
Next step we cancel out the x but adding both equations which would isolate the y:
7y = -39
y = -5.57
After finding y, plug it back into the equation to find x:
4x - 3(-5.57) = 11
4x + 16.71 = 11
4x = -5.71
x = -1.43
To ensure it is correct, we can plug it back into both equations:
4(-1.43) - 3(-5.57) = 11
2(-1.43) - 5(-5.57) = 25
(BRAINLIEST) and more in the description.
Confession: I suck at math lol......
Description and benefits: The person with the correct answer will be given 30 points, brainliest, five-star rating, and a thanks. If you answer incorrectly just to get rewards you will be reported to Brainly and your answer will be deleted to give someone else a chance.
Answer:
16
Step-by-step explanation:
the answer is 16 Because 2 gallons is 16
Answer:
16 pts in 2 gallons
Step-by-step explanation:
There a 8 pints in 1 gallon, so in two gallons there would be 16 pts.
Cat face 2 la puterea 81?
How much is 2 to the power of 81?
VA ROG ESTE SUPER URGENT!
PLEASE ITS SUPER URGENT!
Answer:
[tex]2.418 * 10^{24}[/tex]
Step-by-step explanation:
[tex]2^{81}[/tex] = [tex]2.418 * 10^{24}[/tex]
OR
Approximately:
2417851639000000000000000
Question 2
What is the quotient of 3/4 divided by 5/4
Answer:
3/5
Step-by-step explanation:
Answer:
[tex]\frac{3}{5}[/tex]
Step-by-step explanation:
Operations With Fractions
Evaluate the expression:
[tex]\displaystyle \frac{\frac{3}{4}}{\frac{5}{4}}[/tex]
The division of fractions is can be done by multiplying the fraction on the numerator by the reciprocal of the fraction on the denominator:
[tex]\displaystyle \frac{\frac{3}{4}}{\frac{5}{4}}=\frac{3}{4}\cdot\frac{4}{5}[/tex]
Simplifying:
[tex]\displaystyle \frac{\frac{3}{4}}{\frac{5}{4}}=\frac{3}{5}[/tex]
Answer: [tex]\frac{3}{5}[/tex]
need help asap please!!
Answer:
[tex]\displaystyle 23[/tex]
Step-by-step explanation:
[tex]\displaystyle 4p = p + 69 → -69 = -3p; 23 = p[/tex]
I am joyous to assist you at any time.
Evaluate the expression when a= 1/4 and b= 6
5b/32a2=?
Answer:
30/64
Step-by-step explanation:
5b=30
32a=8
8^2=64
=30/64
I WILL MARK BRAINLIEST!!
Answer:
i think 108
Step-by-step explanation:
39) Solve the inequality: 4(x+5)≤116
A. x≤−51
B. x≤−40
C. x≤24
D. x≥24
Answer:
x≤24
Step-by-step explanation:
4(x+5)≤116
x+5≤29
x≤29-5
x≤24
Write 45% as a decimal.
Answer:
0.45
Step-by-step explanation:
Because you have to write 45% has money so 45.00 divide by 100 = 0.45 hope this is right and helpful. Can you mark me brainliest
PLEASE HELP ME PLEASE!!!!!!
Choose which type of description is used in each example. Planets surrounded by rings in our solar system include Jupiter, Saturn, Uranus, and Neptune. Saturn has fifty-three moons, more than any other planet in the solar system. Planets do not give off light themselves instead, light is reflected off of them.
Answer:
Step-by-step explanation:
Answer:
Choose which type of description is used in each example.
Planets surrounded by rings in our solar system include Jupiter, Saturn, Uranus, and Neptune.
✔ example
Saturn has fifty-three moons, more than any other planet in the solar system.
✔ characteristic
Planets do not give off light themselves; instead, light is reflected off of them.
✔ feature
Step-by-step explanation:
Can someone please answer
Hello!
We can graph by finding critical points - intersections, y-intercepts, x-intercepts.
Find the intersection point by setting the two equations equal to each other:
-4x + 3 = x - 2
Subtract x from both sides:
-5x + 3 = - 2
Subtract 3 from both sides:
-5x = -5
Divide both sides by -5:
-5x/(-5) = -5/(-5)
x = 1
Find the y-value of intersection by plugging in x = 1 into an equation:
y = 1 - 2 = -1
Intersection at (1, -1)
Find the x and y intercepts of each equation:
y = -4x + 3
Set x to 0 to find the y-intercept:
y = -4(0) + 3 = 3
Set y to 0 to find the x-intercept:
0 = -4x + 3
-3 = -4x
x = 3/4
Therefore, this equation has a y-intercept at (0, 3) and and x-intercept at (3/4, 0).
y = x - 2
Set x to 0 to find the y-intercept:
y = 0 - 2 = -2
Set y to 0 to find the x-intercept:
0 = x - 2
x = 2
Therefore, this equation has a y-intercept at (0, -2) and and x-intercept at (2, 0).
Graph the two equations with the solved critical points:
y = -4x + 3
--> (1, -1)
--> (0, 3)
--> (3/4, 0)
y = x - 2
--> (1, -1)
--> (0, -2)
--> (2, 0)
**Graphed below**
What is 2/3-5/9 in 5th grade math
Answer:
0.111111
Step-by-step explanation:
Answer:
Step-by-step explanation:
Solution
=2×3/3×3-5×1/9×1
=6/9-5/9
=6-5/9
=1/9
Please mark me brainliest.Ok
Someone help me quick
Answer: x > - 18
Step-by-step explanation:
The magnitude and direction of two vectors are shown in the diagram. What is the magnitude of their
sum?
2
135°
45°
6
20
The sum of magnitude of two vectors is 2√5.
What is Vector?A vector is a number or phenomena with two distinct properties: magnitude and direction. The term can also refer to a quantity's mathematical or geometrical representation. In nature, vectors include velocity, momentum, force, electromagnetic fields, and weight.
We have,
the magnitude of two vectors are 4 and 2.
and, The direction of two vectors are 45° and 135°.
According to vector addition,
The angle between both the vectors = 135 - 45 = 90
and, Sum of Vector
= √4² + 2²
= √16 + 4
= √20
Thus, the sum of magnitude of two vectors is 2√5.
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Susan reads a book at a rate of 1 page every 3 minutes. If her reading rate remains the same, which method could be used to determine the number of minutes for her to read 18 page? *
Answer:
54 minutes
Step-by-step explanation:
Hope I helped!
I can almost guarantee this answer is correct.
Have a nice day!
Answer:
54 minutes
Step-by-step explanation:
Every 3 minutes she reads 1
18x3=54
Hope it helps
What is the surface area of the square pyramid represented by the net below?
48 cm2
16 am
64 cm2
4 cm
96 cm2
112 cm2
Answer: 96
Step-by-step explanation:
Answer:
96
Step-by-step explanation:
Find the slope of the altitude on each side of triangle ABC (a) A(1,0), B(-3, 4),C(-1,-3)
*GET 30 POINTS IF YOU ANSWER* NEED ASAP! Three students were given the expression shown to simplify. Use the drop-down menus to complete the statements about whether each student's answer is an equivalent expression. Then choose an expression that is equivalent.
Answer:
The equivalent equation would be 6-2+4x, which could be simplified down to 4+4x
Sophia´s expression is wrong because she did not distribute correctly.
Ursula´s expression is incorrect because she tried adding -4x with 2. This is incorrect because the 2 does not a variable or 2 does not have an x beside it, so you can not add them both together to try to get to the answer.
Step-by-step explanation:
6⁻(2-4x) Given
6(-2+4x) Distributive Property, this is when you multiply everything in the parenthesis that is outside which would be -1 multiplied by -2 and -1 multiplied by -4x.
⚠️ANSWER NEEDED QUICK, SHOW WORK TOO⚠️
Answer:
28+28=56 so 28 and 28 and the bottom will be 56
Simplify the following expression (2x^2y^5)^3
Answer:
The correct answer is,
[tex] {8x}^{6y {}^{5} } [/tex]