Polynomial 1 : x²-x²+4x -2+1 = 4x -1
Polynomial 2 : 3x-x-2x²-2+1 = -2x²+2x-1
Polynomial 3 : 4 -2x+x-x²+x²-x² = -x²-x+4
According to the question,
Polynomial 1+Polynomial2+Polynomial3 + Polynomial4 = 6x
=> 4x -1+ (-2x²+2x-1) +(-x²-x+4) + Polynomial4= 6x
=> -3x²-x+2+Polynomial4= 0
=> 3x²+x -2= Polynomial4OPTION B
Answer:
B
Step-by-step explanation:
Objective: Advanced Algebra Thinking with Polynomials.
Convert the diagram into a polynomial using the Legend.
Then add the fourth polynomial to get 6x.
The first polynomial is
[tex]4x - 1[/tex]
The next is
[tex] - 2x {}^{2} + 2x - 1[/tex]
The third is
[tex] - {x}^{2} - x + 4[/tex]
Add all the expressions.
[tex] - 3 {x}^{2} + 5x + 2[/tex]
Set this equations equal 6x, let y represent the 4th polynomial.
[tex] - 3 {x}^{2} + 5x + 2 + y = 6x[/tex]
[tex] - 3 {x}^{2} + 2 + y = x[/tex]
[tex] - 3 {x}^{2} +y = x - 2[/tex]
[tex]y = 3 {x}^{2} + x - 2[/tex]
may anyone help me please and thank you so much !
Answer:
16 m
Step-by-step explanation:
The situation can be solved by proportion of corresponding sides in 2 right triangles.
let x be the length of shadow cast by oak tree, then
[tex]\frac{9}{12}[/tex] = [tex]\frac{12}{x}[/tex] ( cross- multiply )
9x = 144 ( divide both sides by 9 )
x = 16
Length of shadow is 16 m
Can someone help me with this?
Answer:
(b)
Step-by-step explanation:
Which is true regarding chords and diameters of circles?
Both chords and diameters have two endpoints on a circle. Diameters must intersect the center of a circle.
Both chords and diameters have two endpoints on a circle. Chords must intersect the center of a circle.
Chords have two endpoints on a circle. Diameters have one endpoint on a circle and one at the center.
Chords have one endpoint on a circle and one at the center. Diameters have two endpoints on a circle.
The state that is valid is
"Every diameter of a circle is also a chord because a chord of a circle is any line segment joining two points on the circumference of the circle."
What is a diameterA diameter is a line that divides a circle into two halves, a diameter is also a chord
What is a ChordA chord is a line that connects points on a circle, a chord is not a diameter because it does not divide a circle into two equal halves
Learn more about circles here:
https://brainly.com/question/10458894
put 0.6 as a percent
Answer:
6%
Step-by-step explanation:
5 - 3tan3x = 0 trên -π< x < π.
Answer:
x = 0.343
Step-by-step explanation:
We want to solve:
5 - 3tan(3x) = 0
such that:
-π< x < π
where π = 3.14
then:
-3.14 < x < 3.14
Let's solve the equation:
5 - 3tan(3x) = 0
-3tan(3x) = -5
tan(3x) = -5/-3 = 5/3
Now we can use the inverse tan function, Atan(x).
Remember that:
Atan( tan(x) ) = tan( Atan(x)) = x
Then if we apply that function to both sides, we get:
Atan( tan(3x)) = Atan(5/3)
3x = Atan(5/3)
x = Atan(5/3)/3 = 0.343
figure B is a scaled copy of figure A. What is the scale factor from figure A to B
x- (-3) is the same as x + (-3).
O True
O False
Answer:
false
Step-by-step explanation:
because x - (-3)
= x+3
and x + - 3
= x - 3
so they are not the same
hope this helps
Answer:
False
Step-by-step explanation:
If u minus you go the opposite direction
And you have negative 3
So you do the opposite direction of -3 which is +3
So x+3
Select the correct answer.
If function f has zeros at -3 and 4, which graph could represent function f?
A.
the graph of a quadratic function y = (1/4)(x+3)(x-4)
B.
the graph of a quadratic function y = -(1/4)(x-3)(x+4)
C.
the graph of a quadratic function y = -(x+3)(x+4)
D.
the graph of a quadratic function y = (x-3)(x-4)
How do I solve and what's the answer?
Answer:
Step-by-step explanation:
A parallelogram is a family of quadrilateral which has its two opposite sides to be equal and parallel.
In the given parallelogram, the following proof can be deduced.
1. QS bisects RT: <RSQ ≅ <TQS Given
2. RV ≅ TV Definition of a bisector
3. <SRQ + < RQT = [tex]180^{o}[/tex] Definition of supplementary angles
4. <RQS ≅ <QST Definition of alternate angles
5. <RVT ≅ <QVT Vertically opposite angles
6. <QRS ≅ <STQ Opposite angles are congruent
7. QRST is a parallelogram Proofed
Answer the questions.
Answer:
5.
Objective C
[tex]125x + 200 \geqslant 1200 \\ 125x \geqslant 1000 \\ x \geqslant 8[/tex]
7
[tex]x \: \alpha \: y \\ y = kx \\ 2.00 = k \times 8 \\ k = \frac{2.00}{8} \\ k = 0.25[/tex]
pls help its my last day of school and a have only a few mins to submit
Answer:
slope = 1/2
y intercept = 2
slope intercept form = y = 1/2x + 2
Step-by-step explanation:
Answer:
Slope: 2
y-intercept: 2
Slope intercept form: y=2x+2
Step-by-step explanation:
Hope this helps!
Please help asap!! I will mark you as brainliest :)
Answer:
3, 0, -5, -6
Step-by-step explanation:
7)
when x= -8, f(x) = 8-5 or 3
when x= -5 f(x) = 5-5 or 0
when x= 0, f(x) = 0-5 or -5
when x=1, f(x) = -1-5 or -6
An equilateral triangle with side length 20 cm is shown in the diagram, work out the area of the triangle.Give your answer rounded to 1 DP.
Answer:
173.2 cm²
Step-by-step explanation:
Use the equilateral triangle area formula, A = [tex]\frac{\sqrt{3}}{4}[/tex]a²
Plug in the side length and solve:
A = [tex]\frac{\sqrt{3}}{4}[/tex]a²
A = [tex]\frac{\sqrt{3}}{4}[/tex](20)²
A = [tex]\frac{\sqrt{3}}{4}[/tex](400)
A = 173.2
So, the area of the triangle is approximately 173.2 cm²
Please help if you answer and some extra points!
Answer: if you go to symbolab it will definitely help you and yes i know i did not help whatsoever but just try it if not im sorry
Step-by-step explanation:
help pls. cant figure it out
Answer:
m=3
Step-by-step explanation:
add the m on the right side, 4m+3=15
subract the 3 on the left side, 4m=12
divide by four to isolate m, m=3
Answer:
[tex]3m+3=15-m[/tex]
[tex]3m+3=-m+15[/tex]
[tex]3m+m=15-3[/tex]
[tex]4m=12[/tex]
[tex]Divide\ both\ sides \ by\ 4[/tex]
[tex]\frac{4m}{4} =\frac{12}{4}[/tex]
[tex]\boxed{\boxed{\underline{\textsf{\textbf{m=3}}}}}[/tex]
-------------------------hope it helps...have a great day!!6. A metal is made from copper, zinc and lead in the ratio 13:6:1
respectively. The mass of zinc is 90kg. Calculate the mass of the
metal.
Given:
A metal is made from copper, zinc and lead in the ratio 13:6:1.
The mass of zinc is 90kg.
To find:
The mass of the metal.
Solution:
It is given that the metal is made from copper, zinc and lead in the ratio 13:6:1.
Let the mass of copper, zinc and lead are 13x, 6x and 1x respectively.
The mass of zinc is 90kg. So,
[tex]6x=90[/tex]
[tex]x=\dfrac{90}{6}[/tex]
[tex]x=15[/tex]
Now, total mass of the metal is:
[tex]Total=13x+6x+1x[/tex]
[tex]Total=20x[/tex]
[tex]Total=20(15)[/tex]
[tex]Total=300[/tex]
Therefore, the mass of the metal is 300kg.
A ball was kicked off a picnic table at the park and its height, h, in metres, above the ground after time, t, in seconds, is represented by h = 0.5 + 16t- 2t^2.
a) What is the height of the picnic table?
b) Complete the square to determine the maximum height of the ball?
Step-by-step explanation:
the picnic table height is 0.5 because it's the constant
and the maximum height is 28
my answer is in the image above
What is the 30th term of the linear sequence below?
-4,-1,2,5,8...
Answer:
80
Step-by-step explanation:
-4,-1,2,5,8,11,14,17,20,23,26,29,32,35,38,41,44,47,50,53,56,59,62,65,68,71,74,77,80.
Describe how you would factor x^2 + 10x - 24. Be specific.
Answer:
if u have more doubts feel free to ask :)
Step-by-step explanation:
x² + 10x -24
x² + 12x - 2x - 24
x(x + 12) -2(x + 12)
(x + 12) (x - 2)
Factors of 24 : ±1 , ±2 , ±3 , ±4 , ±6 , ±8 , ±12, ±24. Combination of +12 and -2 gives "10" the middle term also " 24"
pleaseee helppp meeee!!!!
What is 1/root 2
Give me that ans asap
Answer:
1/√2
Approximate numerical value
1/√2 = 0.707106781186548
---------------------------
Rationalize the denominator
(1/√2) * (√2 / √2) = √2 / 2
7th grade math help me pleaseeee
Answer:
Step-by-step explanation:
the first one is a negative correlation
can someone please help me i need to calculate the are of a trapezium which is 6cm 15cm 9cm, please help
Answer:
Step-by-step explanation: The parallel sides of a trapezium are called the bases and the distance between them is the height. Therefore if 6cm and 15cm are the bases and 9cm is the height, then the area is A= ½(b1+b2)×h, where b1 is 6cm and b2 is 15cm and h is 9cm. Therefore the Area= ½(6+15)×9=94,5cm.
Answer:
shush its hard like my
Step-by-step explanation:
can someone assist me with this, has me mad
drop menu 1:
A. y-axis
B. x-axis
C. line y=x
D. line y=-x
drop menu 2:
A. 4 units to the right and 10 units up
B. 8 units to the right and 4 units up
C. 10 units to the right and 2 units up
D. 10 units to the right and 4 units up
Answer:
A. y-axis
B. x-axis
C. line y=x
D. line y=-x
drop menu 2:
A. 4 units to the right and 10 units up
B. 8 units to the right and 4 units up
C. 10 units to the right and 2 units up
D. 10 units to the right and 4 units up
Answer:
C, and D
Step-by-step explanation:
First you reflect over the line y=x (line goes diagonal from quadrant I to quadrant III)
The rule of reflecting over the y=x line is that point (x,y) becomes point (y,x)
For example, point C ( -4, 2), becomes C' ( 2, -4)
Second is a translation 10 units to the right and 4 units up from C'(2,-4) to C''(0, 12)
Solve the equation for x.
Answer:
x = 7
Step-by-step explanation:
2x + 34 = 4x + 20
2x = 14
x = 7
What is the measure of <JHM
25
45
50
90
Which point would not be a solution to the system of linear inequalities shown below? y\ge x+5\hspace{50px}y\ge\frac{2}{3} x+6 y≥x+5y≥ 3 2 x+6 (12, 7) (-12, 1) (-12, 9) (-12, 6)
Answer:
(12,7) is not a solution
Step-by-step explanation:
Given
[tex]y\ge x+5\hspace{50px}y\ge\frac{2}{3}x + 6[/tex]
Required
Point that is not a solution
We have:
[tex]y\ge x+5\hspace{50px}y\ge\frac{2}{3}x + 6[/tex]
Substitute [tex]\frac{2}{3}x + 6[/tex] for y in the first inequality
[tex]\frac{2}{3}x + 6 \ge x + 5[/tex]
Collect like terms
[tex]\frac{2}{3}x - x \ge 5-6[/tex]
[tex]-\frac{1}{3}x \ge -1[/tex]
Solve for x (the inequality will change because we are to divide by a negative number_
[tex]x \le -1/-\frac{1}{3}[/tex]
[tex]x \le 3[/tex]
Without solving further, we can conclude that the first option is not a solution.
Because (12,7) implies that [tex]x =12[/tex]
Compare [tex]x =12[/tex] to [tex]x \le 3[/tex], then [tex]x \le 3[/tex] is false
What are the solution(s) to the quadratic equation 50 – X2 = 0?
[tex]2 \sqrt{5} [/tex]
[tex] 6\sqrt{3} [/tex]
no real solution
Answer:
Step-by-step explanation:
50 - x² = 0
50 = x²
x² = 50
x = √50
[tex]x = \sqrt{2*5*5}\\\\x=5\sqrt{2}[/tex]
Answer:
[tex]50 - {x}^{2} = 0 \\ {x}^{2} = 50 \\ x = \sqrt{50} \\ x = 5 \sqrt{2} [/tex]
Can anyone solve this question for me urgent! With work please. Thank you!
Answer:
P = 75*
Step-by-step explanation:
The plot below shows the lengths of 555 neck warmers that Mary knit for a family of giraffes. A line plot labeled volume of juice in fluid ounces shows, moving left to right, labeled tick marks at four, four and one-half, five, five and one-half, six, six and one half, and seven. Dots are plotted as follows: 1 dot above four and one-half; 2 dots above five; 1 dot above six and 1 dot above six and one-half. A line plot labeled volume of juice in fluid ounces shows, moving left to right, labeled tick marks at four, four and one-half, five, five and one-half, six, six and one half, and seven. Dots are plotted as follows: 1 dot above four and one-half; 2 dots above five; 1 dot above six and 1 dot above six and one-half. The shortest warmer was blue. The two longest warmers were pink. How much longer was the combined length of the pink warmers than the length of the blue warmer?
Answer: The answer is 8
Step-by-step explanation:
It’s Kinda obvious if your teachers asks u to explain its 12 1/2 - 4 1/2 which equals 8 1
2
+
4 1
2
=
17
Calculation steps:
12 1
2
+
4 1
2
= (12 + 4) + (
1
2
+
1
2
)
= 16 +
1 + 1
2
= 16 +
2
2
= 16 +
2 ÷ 2
2 ÷ 2
= 16 +
1
1
= 8 hope this helps
Answer:
Answer is 8
Step-by-step explanation:
I know because I got the answer right!