Answer:
The first equation should be multiplied by 9 and the second equation by −4
Step-by-step explanation:
Given the simultaneous equation
First Equation: 5x − 4y = 28
Second equation: 3x - 9y = 30
In order to eliminate y, we must make the coefficient of x in both expression to be equal.
To do that the first equation should be multiplied by 9 (negative value of the coefficient of y in equation 2)and the second equation by -4( (coefficient of y in equation 1)
how to bring the polynomial to the standard form p(x) x^2-2x+4) (x^2+2x+4)
[tex]\rightarrow\sf((p(x) {x}^{2} + 2x + 4)( {x}^{2} + 2x + 4)) \\ = \sf {ax}^{2} + bx + c \\ = \sf(p(x) {x}^{2} {x}^{2} + p(x) {x}^{2} (2x) + p(x) {x}^{2} \times 4 + 2x \times {x}^{2} + 2x(2x) + 2x \times 4 + {4x}^{2} + 4(2x) + 4 \times 4) \\ = \sf( {x}^{4} p(x) + {2x}^{3} p(x) + {4x}^{2} p(x) + {2x}^{3} + {8x}^{2} + 16x + 16) \\ \rightarrow \large\boxed{\sf\red{{{x}^{4} p(x) + {2x}^{3} p(x) + {4x}^{2} p(x) + {2x}^{3} + {8x}^{2} + 16x + 16}}}[/tex]
Answer:[tex]\large\boxed{\sf{\red{{x}^{4} p(x) + {2x}^{3} p(x) + {4x}^{2} p(x) + {2x}^{3} + {8x}^{2} + 16x + 16}}}[/tex]
[tex]\color{red}{==========================}[/tex]
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Brad is 12 years older than Sam. If Brad were 8 years older than he is now, he would
be twice as old as Sam. How old is Sam now?.
Answer:
Sam is 20 years old.
The following data on price () and the overall score for stereo headphones that were tested by Consumer Reports were as follows. The estimated regression equation for these data is
(y-hat) = 27.922+0.302x
Brand Price Score
Bose 180 76
Scullcandy 160 76
Koss 95 69
Phillips/O'Neill 70 58
Denon 80 50
JVC 35 26
Required:
Does the t test indicate a significant relationship between price and the overall score?
Answer:
Relationship exists between price and overall score
Step-by-step explanation:
Given the data:
Brand Price Score
Bose 180 76
Scullcandy 160 76
Koss 95 69
Phillips/O'Neill 70 58
Denon 80 50
JVC 35 26
Using the correlation Coefficient calculator ; the correlation Coefficient, R = 0.875
H0 : no relationship exists
H1 : relationship exists
Using the R Coefficient ;
The test statistic :
T = r / √(1 - r²) / (n - 2)
n = 6
The test statistic :
T = 0.875 / √(1 - 0.875²) / (4)
T =0.875 / 0.05859375
T = 0.9333
The Pvalue from test statistic :
df = n - 2 ; 6 - 2 = 4
Pvalue(0.933, 4) = 0.02246
At α = 0.05
Pvalue < α ; We reject H0 ; and conclude that relationship exists between price and overall score
50 POINTS PLEASE HELP ME
Answer:
4 -6x^2
Step-by-step explanation:
f°g = f(g(x))
We place g(x) in for x in the function f(x)
= 4-2(g(x)) = 4-2(3x^2) = 4 -6x^2
B.4-6x²
Answer:
Solution given:
f(x)=4-2x
and
g(x)=3x²
now
f o g(x)=f(g(x))=f(3x²)=4-2*3x²=4-6x²
The perimeter of a rectangle is 90. One side of the rectangle is twice the length of the other.
What is the length of the longer side?
Answer:
30
Step-by-step explanation:
p=2l+2w
p=2(2w)+2w
p=4w+2w
p=6w
p=90
90=6w
15=w
Consider this function rule: multiply the input by two and then subtract one to get the output. Write an equation that gives this rule in symbolic form
Answer:
f(x)=2x-1
Step-by-step explanation:
The output is f(x). The input is x.
The prompt says to multiply the input by 2, so 2x.
Then subtract 1 to get f(x).
Hope this helps!
Needs 20 characters even though the picture says it all.
HELP ASAP!!!!!!!PLEASE SHOW WORK!!!!!! !!!!!
Answer:
Area = 12.82 miles²
Step-by-step explanation:
Area of a triangle with two adjacent sides and the inscribed angle between these side is given by,
Area = [tex]\frac{1}{2}ab[\text{sin(C)}][/tex]
By substituting the values of sides a, b and the angle C,
Area = [tex]\frac{1}{2}(5.7\times 9.3)[\text{sin}(14^{\circ})][/tex]
= 12.82 square miles
A water company charges $20 for service and 2.75 for every 1000 gallons of water use in month construct a linear model to represent the water bill; how much would you be charged bill how much would you be charged if you use 5000 gallons of water this month
Answer:
5000
Step-by-step explanation:
⁉️⁉️
Simplify the radical expression.
Step-by-step explanation:
the answer is in the image above
Answer:
[tex]-\sqrt{5q^{3} } \times3\sqrt{35}[/tex]
[tex]-\sqrt{5} \times\sqrt{q^{3} } \times3\sqrt{5} \times\sqrt{7}[/tex]
[tex]-15\sqrt{7q^{3} }[/tex]
------------------------
Hope it helps...
have a great day!!
Ravi bought 50kg rice at the rate it tk40 per kg and sold it at the rate of tk44 per kg. What is the amount of profit or loss?
Here is your Answer
Step-by-step explanation:
Ravi bought rice = 50kg
Rate it =40kg
Sold it at the rate = = 44kg
Answer: -34Mark me as brainlist and give me 20 thx plswrite your answer in simplest radical form
Answer:
n = 8√2
Step-by-step explanation:
It's a 30-60-90 triangle, so n = 2×4√6/√3 = 8√2
help needed right away this is timed
66. If the length of one side of a triangle 6 and the length of another side is 2, which of the following cannot be the length of the third side of the triangle?
A) 8
B) 7
C)
D) 5
Answer:
A)
Step-by-step explanation:
what is C ? 6 ?
if that is the case, then my answer is A) 8
why ? because then the other 2 sides together are just as long as this third side, and we would have just a flat line with the length of 8.
every side in a triangle must be shorter than the other two sides together.
but - fully formally such a flat line could be considered a special triangle with 2 angles of 0 degrees and one angle of 180 degrees.
that is why I am asking about the missing C answer. it could be a trick question. but if C is truly 6, then yes, A is the right answer. if C is larger than 8, then C is the right answer.
An astronaut on the moon throws a baseball upward. the astronaut is 6 ft, 6 in. tall, and the initial velocity of the ball is 50 ft per sec. the height s of the ball in feet is given by the equation s=-2.7t^2+50t+6.5 , where t is the number of seconds after the ball was thrown. complete parts a and b.
Answer:
Step-by-step explanation:
This was answered in question #24217201. It's the exact same question, but you forgot to put what parts A and B are. The answers and the work are there.
Name different types of triangles and illustrate how you can introduce each triangle to the foundation phase learner during a lesson presentation. Mention the resources that you will use
The types of triangles are: equilateral, isosceles, scalene, right angled, acute angled and obtuse angled triangle.
Triangles are plane shapes with three straight sides. Triangles are classified with respect to either their length of sides, or the measure of each internal angles.
1. Classification of triangles with their length of sides:
i. Equilateral triangle: This implies a triangle with equal length of sides.
ii. Isosceles triangle: This triangle has two of its side with equal length.
iii. Scalene triangle: In this triangle, non of its sides has equal length.
2. Classification of triangles with their internal angles:
i. Acute angled triangle: This triangle has all its angles less than [tex]90^{o}[/tex].
ii. Right angled triangle: This has one of its angles to be a right angle.
iii. Obtuse angled triangle: This triangle has one of its internal angles to be greater than [tex]180^{o}[/tex].
Therefore, there are generally six types of triangles of two classes.
Resources: Set squares, triangular prism, marking board and a marker etc.
For more information: https://brainly.com/question/18075714
What is the solution set of 7 x2 + 3 x = 0? {0, 3/7} {0, -3/7} {0, -4/7}
Answer:
[tex]{ \tt{7 {x}^{2} + 3x = 0 }} \\ { \tt{x(7x + 3) = 0}}[/tex]
Either x = 0 or ( 7x + 3 ) = 0 :
[tex]{ \tt{7x + 3 = 0}} \\ { \tt{x = - \frac{3}{7} }}[/tex]
Answer:
[tex]{ \bf{(0, \: - \frac{3}{7}) }}[/tex]
Find the measure of missing angle
Answer:
58 degrees
Step-by-step explanation:
90 - 32 = 58
HELP PLEASE GEOMETRY!!
Answer:
<G = <J
Step-by-step explanation:
SAS means two sides and the included angle
WE know two sides and need the included angle
<G must equal < J
What’s the value of x in the parallelogram
Answer:
145 degrees
Step-by-step explanation:
I'd say that because if it were 135, it would have to be bigger than a right angle and it also isn't a right angle so it has to be acute or less than 90 degrees
Hope this helps!!:)
Could someone help with question 7?
Answer:
x=35
Step-by-step explanation:
since the two triangles are similar, we can set up a proportion to find x:
4/14=10/x
4x=140
x=35
Britany wants to read a book. In her room, she has 5 mysteries, 15 historical fictions, 12 modern fantasies, and 7 blographies. how many different choices are available ?
a. 78
b. 34
c. 32
d.39
Answer
I guess
39 different choice are available
Today only, a suit is being sold at a 36% discount. The sale price is $272.
What was the price yesterday?
=$___
Answer:$425
Step-by-step explanation:
272/(100-36)*100
You first calculate what the price is relative to the old price. 100 minus 36 is 64%. By dividing with 64 you get 1% of the old price. Multiply it then with 100 to get the price yesterday
Which expression is equivalent to sin(20°)cos(80°) – cos(20°)sin(80°)?
A) sin(-60)
B) cos(-60)
C) cos(60)
D) sin(60)
Answer:
sin(-60)
Step-by-step explanation:
its in form of sin(A-B) which formula is SinA.CosB-CosAsinB
find the measure of the largest exterior angle
Answer:
116 degrees
Step-by-step explanation:
To find the answer, we must know what the sum of exterior angles are on a given shape, which is 360 degrees.
So, let's put the equation up.
8x-21+4x-13+5x-11+6x+14=360
Let's add all the x variables together to simplify it. And also add the number together too.
8x+4x+6x+5x= 23x
(-21)+(-13)+(-11)+14 = -31
The equation we have is in its initial simplified version. Let's simplify it even more to solve.
23x-31=360
Add 31 to both sides.
23x=391
Divide 23 on both sides to find x.
391/23 = x
x= 17
Let's put the value x in each exterior angle.
A= 8(17)-21 = 115 degrees
B= 6(17)+14 = 116 degrees
C= 5(17)-11 = 74 degrees
D= 4(17)-13 = 55 degrees
From the work above, we know B is the largest exterior angle, which is 116 degrees.
Hope this helps!
What is cube root 16y^4/x^6
in simplest form?
Cube root of the given expression [tex]\frac{16y^{4} }{x^{6} }[/tex] in simplest form is equals to [tex]\frac{2y }{x^{2} }\sqrt[3]{2y}[/tex].
What is cube root?" Cube root is defined as the number when multiply three times and produce result as one original number one time."
According to the question,
Given expression,
[tex]\frac{16y^{4} }{x^{6} }[/tex]
Cube root of the given expression is,
[tex]\sqrt[3]{\frac{16y^{4} }{x^{6} }} \\\\\implies \sqrt[3]{\frac{(2)^{3}(2) y^{3} (y)}{(x^{2}) ^{3} }}\\\\\implies \frac{2y}{x^{2} } \sqrt[3]{2y}[/tex]
Hence, cube root of the given expression [tex]\frac{16y^{4} }{x^{6} }[/tex] in simplest form is equals to [tex]\frac{2y }{x^{2} }\sqrt[3]{2y}[/tex].
Learn more about cube root here
https://brainly.com/question/12726345
#SPJ3
Answer:
B on edge
trust me bro
Which phrase describes an unknown or changeable quantity
Answer:
a variable
Step-by-step explanation:
because it varies
Jessy pastes stamps for 160 envelopes in 2 hours. If she pastes the stamps at the same rate, for how many envelopes can she paste stamps in 30 minutes ?
2 hours=160
1 hours=160÷2=80
30 minutes=80÷2=40
Answer:She can paste 40 stamps in 30 minutes
Which statement IS true
about the equations -3x + 4y = 12 and +X- ~Y - 1?
The system of the equations has exactly one solution
at -8, 3).
• The system of the equations has exactly one solution at (-4, 3).
• The system of the equations has no solution; the two lines are parallel.
• The system of the equations has an infinite number of solutions represented by either equation.
Answer:
Second one(Not sure)
Step-by-step explanation:
I believe the system doesn't have an exact answer. But the line are parallel because of (3).
HELP What is true about the dilation?
On a coordinate plane, the image rectangle has points (0, 0), (0, 8), (9, 8), (8, 0). The pre-image has points (0, 0), (0, 2.5), (3, 2.5), (3, 0).
It is a reduction with a scale factor between 0 and 1.
It is a reduction with a scale factor greater than 1.
It is an enlargement with a scale factor between 0 and 1.
It is an enlargement with a scale factor greater than 1.
9514 1404 393
Answer:
(d) enlargement with scale factor greater than 1
Step-by-step explanation:
The image is obviously larger than the pre-image, so the dilation is an enlargement. The scale factor associated with an enlargement is always greater than 1.
__
Additional comment
In this drawing, the scale factor in the vertical direction is 8/2.5 = 3.2. The scale factor in the horizontal direction is 9/3 = 3.0. The scale factors are different in the different directions.
Answer:
D.
Step-by-step explanation:
