9514 1404 393
Answer:
3 line segmentstriangleStep-by-step explanation:
What to do:
read the questiondo what it says__
When you plot 3 points, A, B, C, you can join them 3 ways: AB, AC, BC. The three line segments make a triangle
7m + 3mn
when m = 3 and n = -4
Answer:
-15
Step-by-step explanation:
When m=3 and n=-4
So, put the values
7(3)+3(3)(-4)
-> -15
Answer:
-15
Step-by-step explanation:
= 7(3) + 3(3)(-4)
= 21 + 3(3×-4)
= 21 + 3(-12)
= 21 + -36
= 21-36
= -15
15. Solve for the specified variable:
-
х
+
7 8
- 10; for y.
Answer:
[tex]y=80-\frac{8x}{7}[/tex]
Step-by-step explanation:
15). Given equation is,
[tex]\frac{x}{7}+ \frac{y}{8}=10[/tex]
Multiply the equation by 8,
[tex]8(\frac{x}{7}+ \frac{y}{8})=10\times 8[/tex]
[tex]\frac{8x}{7}+y=80[/tex]
Subtract [tex]\frac{8x}{7}[/tex] from both the sides of the equation,
[tex]\frac{8x}{7}+y-\frac{8x}{7}=80-\frac{8x}{7}[/tex]
[tex]y=80-\frac{8x}{7}[/tex]
Therefore, value of the variable 'y' will be,
[tex]y=80-\frac{8x}{7}[/tex]
Put these in order from least to greatest!: 6.879, 137/20, 6 10/11, 5.89
Thank you!!
What 3 dimensional solid will be formed by rotating the given figure around the given line of symmetry?
Answer:
option D)
Step-by-step explanation:
when a equilateral triangle is rotated about x-axis
rotating equilateral triangle about x-axis will lead to the formation of cone in.
the height of the equilateral triangle will represent height of the cone.
the base of the equilateral triangle will represent the circular base of the cone
and the slant height of the cone will represented by the sides.
hence, the correct answer will cone which is option D)
Y-intercept = -4
• Slope = -1
2
y
10
9
8
2
6
5
4
3
2
-10
-9
-8
-7
-6
-5
- 4
-3
-2
-1
1
2
3
4
5
6
7
8
9
10
-1
2
-3
-4
-5
-6
-7
-8
-9
-10
Answer:
First point: -4 on y axis.
Second point: (2, -5)
Step-by-step explanation:
When graphing, we always set the equation as y=mx+b where m = slope and b = y intercept
y = mx + b
y = [tex]-\frac{1}{2}x-4[/tex]
Then we plot by starting with the y intercept going four units down, one unit below and two units to the right.
Please Help if you can!! I also have more questions in my profile!
Answer:
(0, 9), (0, 0), (0, 1)
Step-by-step explanation:
Hope it helps you in your learning process.
^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
Answer:
4/ 7-4
Step-by-step explanation:
If f(x)=x^3−5x^2−2x+24 and (x+2) is a factor, what are the remaining factors?
Factor 1:
Factor 2:
Factor 3:
Answer:
(x+2), (x-4), (x-3)
Step-by-step explanation:
Use the rational root theorem to get started, then factor the remaining quadratic to find:
x^3 − 5x^2 − 2x + 24 = (x + 2)(x − 4)(x − 3)
Explanation:
Let f(x) =x^3 − 5x^2 − 2x + 24
By the rational root theorem, any rational zeros of f(x) must be expressible in the for p/q for integers p, q with p a divisor of the constant term 24 and q a divisor of the coefficient 1 of the leading term.
That means that the only possible rational zeros are the factors of 24, namely:
± 1, ± 2, ± 3, ± 4, ± 6, ± 12, ± 24
Try each in turn:
f(1) = 1 − 5 − 2 + 24 = 18
f(−1) = −1 − 5 + 2 + 24 = 20
f(2) = 8 − 20 − 4 + 24 = 8
f(−2) = −8 − 20 + 4 + 24 = 0
So x = −2 is a zero and (x + 2) is a factor.
x^3 − 5x^2 − 2x + 24 = (x + 2)(x^2 − 7x + 12)
We can factor
x^2 − 7x + 12 by noting that 4 × 3 = 12 and 4 + 3 = 7, so:
x^2 − 7x + 12 = (x − 4)(x − 3)
Putting it all together:
x^3 − 5x^2 − 2x + 24 = (x + 2)(x − 4)(x − 3)
mrs.johnson is working on math with a group of students. she has a total of 15 students. 9 of them are girls. what is the ratio of boys to girls for mrs.johnsons math group?
make sure you simplify all ratios and fractions
Answer:
6
Step-by-step explanation:
the rest are boys
What is the lead coefficient of the polynomial below?
3x^2+ 8x + 5
Answer:
The lead coefficient is 8
Step-by-step explanation:
This is because it is the biggest number that is right before the x or that is the coefficient.
The leading coefficient of the polynomial is given by C = 3
What is a polynomial?Polynomials are mathematical expressions involving variables raised with non-negative integers and coefficients(constants who are in multiplication with those variables) and constants with only operations of addition, subtraction, multiplication and non-negative exponentiation of variables involved.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the polynomial equation be represented as A
Now , the value of A is
A = 3x² + 8x + 5
On simplifying the equation , we get
The leading coefficient of a polynomial is the coefficient of the term with the highest degree. In this case, the polynomial 3x² + 8x + 5 has a term with degree 2 (the x² term) and the coefficient of that term is 3
Hence , the lead coefficient of this polynomial is 3
To learn more about polynomial equations click :
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PLEASE HELP!!!
Find the area of the regular polygon with the given apothem a and side length s.
pentagon, a = 12.4 cm, s = 18 cm
The area is
cm2
Answer:
496 cm²
Step-by-step explanation:
Area of polygon :
A = 1/2(p * a)
P = perimeter
a = apothem
Perimeter = 5s (pentagon)
s = side length = 18
P = 5 * 18 = 80 cm
a = 12.4
A = 1/2(80 * 12.4)
A = 1/2(992)
A = 496 cm²
Find the value of x. Round the lengths to the nearest tenth of a unit.
Please help!
Answer:
the other angle equal 52
we can use the specail trangle 3 4 5
300 400 500
the 38 degrees angle meet 300
and the 52 degrees angle meet 400
so the answer is 300 i dont know if you understand but i hope you are
pls ask in the comments and i will try to explain because my ebgilish the baddest
la
You spend some time in the kitchen making sure the recipe is just right for
the cooking show. You spend 2 3/4 hours baking and half of an hour
cleaning up the kitchen. How much time were you in the kitchen?
Answer: 3¼ hours
Step-by-step explanation:
Number of hours used in baking = 2¾ hours
Number of hours used in cleaning up the kitchen = ½ hour
Therefore, the time used in the kitchen will be the addition of the time used in baking plus the time used in cleaning the kitchen which will be:
= 2¾ + ½
= 2 3/4 + 2/4
= 2 5/4
= 2 + 1¼
= 3¼ hours
Therefore, 3¼ hours was used in the kitchen.
Write an equation for the proportional relationship shown in the table
Answer:
y =74x
Step-by-step explanation:
A proportional relationship is represented by y = kx where x is the independent variable, or input, k is the constant of proportionality, and y is the dependent variable or output.
What do we do to the values in the row for x to get the values in the row of y?
It helps to have x = 1 in this table.
74 = (k)(1)
74 = k
what is 2476476263278x342234324
Answer:
8.4753518e+20
Step-by-step explanation:
I used calculator. You should've used a calculator too.
ABCD is a parallelogram. Find x and the length of CD.
Answer:
3×+9=5x-5
-2×=-14
×=7...thenCD=3(7)+9=30
A tank contains 40 gallons of a solution composed of water and bleach. At the start there are 4 gallons of bleach in the tank. A second solution containing half water and half bleach is added tothe tank at the rate of 4 gallons per minute. The solution is kept throughly mixed and drains from the tank at the rate of 4 gallons per minute.
(a) How much blcach is in the tank after t minutes?
(b) Will there be at least 14 gallons of bleach in the tank after 10 minutes?
(c) How much bleach will there be in the tank after a very long time has passed?
Answer:
a) x* e∧ t/10 = 20 *e∧ t/10 + 2
b) x = 14,2 gall. In 10 min. we get 14,2 gallons of bleach in the tank
c) After a very long time we will find 20 gallons of bleach in the tank
Step-by-step explanation:
The variation of bleach in water in the tank is Δ(x)t:
Δ(x)t = [Amount of x added to the tank - Amount of x drain out of the tank]*Δt
Now the amount of x added to the tank is:
Rate of adding* the concentration
Rate of adding = 4 gallons per minute
Concentration half and half ( water + bleach) = 0,5
Rate of draining = 4 gallons per minute
Concentration of draining: Unknown but can be expressed as:
x(t)/40. According to this
Δ(x)t = [4 * 0,5 - 4 * x(t)/40]*Δt
Dividing by Δt on both sides of the equation and tacking limits we get
dx/ dt = 2 - x / 10
dx/dt + x/10 =2
Multyiplying by e∧ t/10 on both sides
e∧ t/10* [ dx/dt + x/10 ] = 2 *e∧ t/10
To solve it, integrating the first member is
x* e∧ t/10 = 20 *e∧ t/10 + C
for initial condition t = 0
4 = 20 + C
C = -16
a) x* e∧ t/10 = 20 *e∧ t/10 - 16
b) in 10 minutes
x* e∧ t/10 = 20 *e∧ t/10 - 16
x *e = 20*e - 16
x = 20 - 16/e
x = 20 - 16/2,718
x = 20 - 5,88
x = 14,2 gallons.
c) After a very long time we will find 20 gallons of bleach in the tank
Polygons Determine the measure of one through 12
Answer:
And there are twelve angles... So, the measure of the interior angle of a regular dodecagon is 150 degrees.
Step-by-step explanation:
Michelle has 3/5 pounds of sugar. She gave her neighbor some sugar. Now she has 1/2 pounds of sugar left. How much sugar did she give to her neighbor?
Answer: 1/10
Step-by-step explanation:
Answer:
1/10 pound
Step-by-step explanation:
If you set up the equation as 3/5 - 1/2, you'll have to give them a common denominator. Multiply 3/5 by 2 and multiply 1/2 by 5, and now you can rewrite this equation as 6/10 - 5/10. From here, just subtract and you'll get 1/10.
Simplify the expression
-2(5z -7)
Jason has $6,700 in his bank account. He withdraws $1,900 from his bank account o pay for rent. Brett books a vacation 3-days later that costs $4,000. He withdraws $3,500 from his account and goes on a payment pay for the remainder
Answer:
thers no question
Step-by-step explanation:
Find the surface area of the prism.
s = 2b + PH
s = 4(3 * 4) + (8)(96) =
s = 4(12) + (8)(96)
s = 48 + (8)(96)
s = 48 + 768
s = 816
f(x) = 3√4x
g(x) = 2x + 3
Find ( f/g) (x). Include any restrictions on the domain
Answer:
B
Step-by-step explanation:
To find [tex](\frac{f}{g} )(x)[/tex] you can write the expression as [tex]\frac{f(x)}{g(x)}[/tex]. We can substitute the f(x) and g(x) into the expression to get: [tex]\frac{\sqrt[3]{4x} }{2x+3}[/tex]. Now we need to find the domain. The numerator is fine, and the domain is all real numbers, but in a fraction, the denominator cannot equal 0. We can write: [tex]2x + 3\neq 0[/tex] and we can solve it:
[tex]2x\neq -3[/tex]
[tex]x\neq -\frac{3}{2}[/tex]
This is the same as option B.
The required function (f/g)(x) is 3√4x/2x+3 where x ≠ -3/2. Option C is correct
Given the functions
f(x) = 3√4x
g(x) = 2x + 3
We are to find the resulting function (f/g)(x)
(f/g)(x) = f(x)/g(x)
(f/g)(x) = 3√4x/2x+3
Restriction to the function occurs at the point where the denominator is zero.
2x = 3 = 0
2x = -3
x = -3/2
Hence the required function (f/g)(x) is 3√4x/2x+3 where x ≠ -3/2
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n more than 12
A) n/12
B) 12 +n
C) 22
D) 12-n
Answer:
B) 12 +n
Step-by-step explanation:
"More than" is a key word.
Whenever you see more than, you are adding.
The final three questions
5×45= 225
12×23= 276
276+225= 501
the answer is 501 ^^
Answer:
501
Step-by-step explanation:
my brain duh big brain me little brain you
The table shows the number of points Malik and Alexia scored while playing a video game together. Which equation relates Alexia’s score, a, to Malik’s score, m?
A. a=0.5m
B. a=1.5m
C. a= m+10
D. a=m+30
Answer:
D. a = m + 30
Step-by-step explanation:
It's not A, because that would be dividing Malik's score in half to get Alexia's score.
B only works for the first line.
C is adding 10 to Malik's score, and the difference is greater than that...it's 30 points.
The terminal side of in standard position contains the point (20, 21) . Find the exact values of the six trigonometric functions of? Please help
Answer:
27,29
Step-by-step explanation:
factorise: 18x - 42y + 30z
Answer:
divide by 6
6 ( 3x - 7y + 5z )
Which equations is parallel to y=4x+8?
Answer:
y=4x-8
hope this helps
have a good day :)
Step-by-step explanation:
please help me with this. will give brainliest due in 5 minutes
Answer:
A
Step-by-step explanation: