Step-by-step explanation:
3(−3x2+5x)
=(−3)(−3x2+5x)
=(−3)(−3x2)+(−3)(5x)
=9x2−15x
How many solutions does this linear system have?
y = 2x – 5
–8x – 4y = –20
A- one solution: (–2.5, 0)
B- one solution: (2.5, 0)
C- no solution
D- infinite number of solutions
62.4g of sugar is needed to make 8 cakes. How much sugar is needed for 9 cakes?
Answer:
7.8 for 1 cake so add that to your total
Step-by-step explanation:
Can you solve this graph problem?
a) what is the difference in temperatures between 7 am to 5 pm
b) which part of the day was the temperature rising the fastest a, b, c, d, or e?
Answers:
a) The difference in temperature is 25 degrees Fahrenheit. b) The temperature was rising fastest during interval 'a'=========================================================
Explanations:
a) We subtract the y coordinates of the left and right endpoints. We get 65-40 = 25b) The fastest rising temperature will visually correspond to the steepest part of the curve. That would be region 'a'. After this interval, region b is still increasing, but not as much as the previous interval (since it's not as steep here). Then it gets less steep for region c, and d sort of flattens out as well. So during the morning hours it appears the temperature is going up the fastest.x−3+5=12 helpppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppp
Answer:
x = 10
Step-by-step explanation:
x - 3 + 5 = 12
x + 2 = 12
x + 2 - 2 = 12 - 2
x = 10
Answer:
x = 10
Step-by-step explanation:
x−3+5=12
Combine like terms
x +2 = 12
Subtract 2 from each side
x+2-2 = 12-2
x = 10
Write the equation of the line which contains all images of point C.
Answer:
A. y = [tex]\frac{1}{4}[/tex]x - 2
Step-by-step explanation:
Help please NO LINKS
Find the angle
Answer:
x = 50.8°
Step-by-step explanation:
We are given:
1.) Angle x
2.) Side opposite to angle x
3.) Hypotenuse
Therefore to find the angle x, we will use the sin inverse:
Sin(x) = Opposite / Hypotenuse
Sin(x) = 6.2/8
x = Sin⁻¹(6.2/8)
x = 50.8°
Hope this helps!
How do you multiply 14.60 * 870
Answer:
12702
Step-by-step explanation:
Since there are 2 digits after the decimal in 14.60, add a decimal to the 870 and put two 0s after it (So it looks like this 870.00)
Then put the two numbers on top of each other, make sure to line up the decimals and multiply normally. When you're done, you should come out with the number 127020000. Since there is 2 digits behind the first number and 2 digits behind the second number, resulting in 4 digits, you're gonna count 4 numbers from the back of your answer and put a decimal there (so it is now 12702.0000) but you don't really need those 0s there so you can just remove them. (Answer 12702)
Hope this helped. If not, search up "Multiply a Whole Number by a Decimal | Math with Mr. J" it might explain better
In ΔPQR,
P
R
‾
PR
is extended through point R to point S,
m
∠
Q
R
S
=
(
7
x
+
8
)
∘
m∠QRS=(7x+8)
∘
,
m
∠
R
P
Q
=
(
x
+
12
)
∘
m∠RPQ=(x+12)
∘
, and
m
∠
P
Q
R
=
(
3
x
+
20
)
∘
m∠PQR=(3x+20)
∘
. Find
m
∠
R
P
Q
.
m∠RPQ
9514 1404 393
Answer:
m∠RPQ = 20°
Step-by-step explanation:
Exterior angle QRS is equal to the sum of interior angles RPQ and PQR.
7x +8 = (x +12) +(3x +20)
3x = 24 . . . . . . . . . . . . . . . . . . subtract 4x+8
x = 8
m∠RPQ = (x+12)° = (8+12)°
m∠RPQ = 20°
What is the slope of the line shown below? (Enter your answer as a decimal if
necessary.)
Answer:
slope = -0.5
Step-by-step explanation:
There is a drop from 3 to 0. ∆y = -3
The run goes from -2 to 4. ∆x = 6
slope = ∆y / ∆x
slope = -3/6 = -1/2
slope = -0.5
Answer:
slope=-0.5
Step-by-step explanation:
(y2-y1)/(x2-x1)
(0-3)/(4-(-2))=-0.5
Write the general polynomial p(x) if its only zeros are 1 4 and -3 with multiplicites 3 2 and 1 respectively what is the degree
Answer:
The 6th degree polynomial is [tex]p(x) = (x-1)^3(x-4)^2(x+3)[/tex]
Step-by-step explanation:
Zeros of a function:
Given a polynomial f(x), this polynomial has roots [tex]x_{1}, x_{2}, x_{n}[/tex] such that it can be written as: [tex]a(x - x_{1})*(x - x_{2})*...*(x-x_n)[/tex], in which a is the leading coefficient.
Zero 1 with multiplicity 3.
So
[tex]p(x) = (x-1)^3[/tex]
Zero 4 with multiplicity 2.
Considering also the zero 1 with multiplicity 3.
[tex]p(x) = (x-1)^3(x-4)^2[/tex]
Zero -3 with multiplicity 1:
Considering the previous zeros:
[tex]p(x) = (x-1)^3(x-4)^2(x-(-3)) = (x-1)^3(x-4)^2(x+3)[/tex]
Degree is the multiplication of the multiplicities of the zeros. So
3*2*1 = 6
The 6th degree polynomial is [tex]p(x) = (x-1)^3(x-4)^2(x+3)[/tex]
There is a sales tax of $6 on an item that cost $88 before tax on a second item $21. How much does the second item cost?
Answer:27
Step-by-step explanation:
If you are adding 6$ taxthen it would be
21+6-27
The time taken, t seconds, that it takes a water heater to boil water is inversely
proportional to the power, p watts, of the water heater.
When P = 2000W, T = 252 seconds.
Find the time it takes to boil water when P = 800W
Step-by-step explanation:
everything can be found in the picture
what two numbers that multiply to 20 and add to 9
Answer:
4 and 5
Step-by-step explanation:
4+5=9
4*5=20
Answer:
5 an 4
Step-by-step explanation:
If you add 5+4 you get 9
And if you multiple 5×4 you get 20
If sin f° = eight ninths and the measure of segment YW is 24 units, what is the measure of segment YX?
triangle XYW in which angle W is a right angle, angle X measure f degrees, and angle Y measures d degrees
21 units
24 units
27 units
30 units
Answer:
27
Step-by-step explanation:
The measure of segment YX is 27 units, the correct option is C.
What are Trigonometric Ratios?Trigonometric Ratios are ratios of the side of a right angled triangle. These are used to find the missing sides and angles of a right angled triangle.
A right angled triangle is a triangle with measure of one of the angle as 90 degree.
The triangle XYW is a right triangle, with right angle at W.
The measure of angle X is f degrees and the measure of angle Y is d degrees.
The value of the trigonometric ratio sin f = 8/9
The measure of segment YW is 24 units,
The sin of an angle is the ratio of Perpendicular to the angle and the hypotenuse of the triangle.
sin f = YW / XY
8/9 = 24 / XY
XY = 24 * 9/8
XY = 27 °
The value of YX has been determined.
To know more about Trigonometric Ratios
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Which graph represents the function f(x) = 5x + 3?
6
5
A++
4
34
2
1
o
-6 -5 -4 -3 -2 -14
1
2
3
4
5
х
2
3
Answer:6
Step-by-step explanation:
Which graph represents the function f(x) = 5x + 3?
6
5
A++
4
34
2
1
o
-6 -5 -4 -3 -2 -14
1
2
3
4
5
х
2
3
The graph of the linear equation can be seen below.
Which graph represents the given function?
Here we have the linear function:
y = 5x + 3
To graph this, we need to find two points on the equation and then connect them with a line.
By evaluating in 0 we get:
y = 5*0 + 3 = 3
So the point (0, 3) is on the line.
By evaluating on 1 we get:
y = 5*1 + 3 = 8
So we have the point (1, 8).
Now we just plot them and connect them with a line, the graph is the one below.
If you want to learn more about linear equations:
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Write an equation of the line that passes
through (6, — 2) and is parallel to the line
y= 3x – 3.
What is the answer for K ?
10/3 = k/9
10 x 9 = 3 x k
90 = 3 k
k = 90/3
k = 30
Please look at attached image
Step-by-step explanation:
[tex] {(3a - \frac{1}{6} b)}^{2} = 9 {a}^{2} - \frac{1}{2} ab - \frac{1}{2} ab + \frac{1}{36} {b}^{2} [/tex]
[tex]= 9 {a}^{2} - ab + \frac{1}{36} {b}^{2} [/tex]
simplify 7^7 x 7^3
Algebra
Since the numbers are the same, you are allowed to add the exponents.
[tex] {7}^{7} \times {7}^{3} = {7}^{10} [/tex]
Answer:
[tex]7^{10}[/tex]
Step-by-step explanation:
The laws of exponents state that if two terms share a base they can be simplified. Specifically, the product exponent law says that if 2 like bases are being multiplied then the exponents can be added together. So, because the two bases are like and 7+3=10, the final answer is [tex]7^{10}[/tex].
A first number plus twice a second number is 4 twice the first number plus the second totals 11 find the number
Answer:
6
Step-by-step explanation:
Let the first number be x
Let the second number be y
x + 2y= 4............equation 1
2x +y= 11............equation 2
From equation 1
x + 2y= 4
x = 4-2y
Substitute 4-2y for x in equation 2
2x + y= 11
2(4-2y) + y= 11
8-4y+y= 11
8-3y= 11
-3y= 11-8
-3y= 3
y= -1
Substitute -1 for y in equation 1
x + 2y= 4
x + 2(-1) = 4
x-2= 4
x = 4+2
x = 6
Hence the first number is 6
Find the equation of the linear function represented by the table below in slope intercept form
find the product of (x-5)²-(x+5)(x-5)+10x
Please help I need good grade #45
Answer:
Its A
Step-by-step explanation:
The quadrilateral ABCD is a parallelogram.
The value of a is?
Step-by-step explanation:
in a parallelogram, opposite angles are equal..
so C is 4a + 22. and B is 6a - 12.
sum of interior angles in a quadrilateral = 360
4a + 22. + 6a - 12. + 4a + 22. + 6a - 12 = 360
20a + 20 = 360
20a = 340
a = 17
sum of angles on a straight line = 180
B + x = 180
6 ( 17) - 12 + x = 180
102 + × = 180
× = 180 - 102
× = 78
Please I have my final now can someone help me with this fast
Answer:
option B
Step-by-step explanation:
Given :
[tex]y = \frac{2}{3}x + 3\\\\y = \frac{5}{2}x + \frac{7}{2}\\\\[/tex]
Step 1 : simplify the equation :
[tex]3y = 2x + 9\\\\2y = 5x + 7\\[/tex]
Step 2: Arrange the terms :
[tex]2x - 3y = - 9\\\\5x -2 y = -7[/tex]
Step 3 : Solve for x and y :
2x - 3y = - 9 ------ ( 1 )
5x - 2y = - 7 --------- ( 2 )
_____________________
( 1 ) x 5 => 10x - 15y = - 45 ---------- (3 )
( 2) x 2 => 10x - 4y = - 14 ----------- (4 )
_______________________
( 3 ) - ( 4 ) => 0x - 11y = - 31
- 11 y = - 31
[tex]y = \frac{31}{11}[/tex]
Substitute y in ( 1 ) :
2x - 3y = - 9
[tex]2x - 3 (\frac{31}{11}) = - 9\\\\2x = -9 + 3(\frac{31}{11})\\\\2x = - 9 + \frac{93}{11}\\\\2x = \frac{-99 + 93}{11} \\\\2x = \frac{-6}{11} \\\\x = \frac{-6}{2 \times 11} = -\frac{3}{11}[/tex]
Therefore the solution to the sytem is [tex]( - \frac{3}{11} , \frac{31}{11})[/tex]
The solution of the system of equation is a point which lies
on the both the lines.
Option A : False , It says the solution lies above one of the given line.
But the solution of the system of equation always lies on
both the line.
Option B : True , says the solution is a point on the coordinate plane.
Option C : False, because if the solution is on the x-axis , then
the y coordinate in the solution would be zero.
But it is not zero.
Option D : False , the solution is the point where both the lines intersect.
3. Sam has a total of 22 quarters and nickels. The coins total value is $2.90. How many quarters and nickels does he have?
Answer:
22?
Step-by-step explanation:
Question 15 of 44
Which of the following arcs are congruent in the circle below
I need to find x pls help
What is the volume of the cylinder below rounded to the nearest 10th
Answer:
3015.9
Step-by-step explanation:
its 3015.9 to nearest 10th because formula of volume of cylinder is
v = pi x radius squared x height
so pi x 8 squared = 201.06192983...
REMEMBER - dont round until the end so scientific calculator is best for this
then you do (answer) x height = 3015.9
(15)
hope this helped :D
Pre-calc, Review the graph of f(x). Which statement describes the behavior of the function around the vertical asymptotes? (image attached)
Answer:
Option B
Step-by-step explanation:
Given the piecewise function, we see that there are two vertical asymptotes at lines x=-3 and x=3. Around the vertical asymptote x=-3, the limit of the function f(x) as x approaches -3 from the left side is ∞, and the limit of the function as x approaches -3 from the right side is -∞. The behavior of the function around the vertical asymptote x=3 is exactly the same. Therefore, option B is correct.
The statement which describes the behaviour of the function round the vertical asymptotes is b which is around x=-3+ limit of f(x)-=infinity and for limit f(x)+ is -x. Around x=3 the function behaves within the same manner as around x=-3.
What is a limit of a function?Limit of a function describes the behaviour of a function as when the function behaves at a specific point.
How to check behaviour of the function?We can see that there are two vertical asymptotes at lines x=-3 and x=3. round the vertical asymptote x=-3 the limit of the function as x approaches -3 from the left side is infinity and also the limit of the function as x approaches -3 from the proper side is -infinity.
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