To find the values of x for which the two trinomials are equal, we need to set them equal to each other and solve for x.
For the trinomials 3x^2 - 4x + 3 and x^2 + x + 1:
3x^2 - 4x + 3 = x^2 + x + 1
By rearranging the equation and combining like terms, we get:
2x^2 - 5x + 2 = 0
Now, we can solve this quadratic equation by factoring, completing the square, or using the quadratic formula. In this case, the equation can be factored as:
(2x - 1)(x - 2) = 0
Setting each factor equal to zero, we have:
2x - 1 = 0 --> 2x = 1 --> x = 1/2
x - 2 = 0 --> x = 2
Therefore, the values of x for which the two trinomials are equal are x = 1/2 and x = 2.
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The goal of a benefit concert is to collect 50,000 cans of food. Food is collected at each entrance to the concert.
Entrance A, 15,682 cans
Entrance B, 18,940 cans
Entrance C, 16,114 cans
Entrance D, 12,468 cans
Did they collect more or fewer cans than desired? How many more or fewer?
A.
13,204 more
B.
3,204 more
C.
13,204 fewer
D.
3,204 fewer
A radar operator on a ship discovers a large sunken vessel lying parallel to the ocean surface, 120 m directly below the ship. The length of the vessel is a clue to which wreck has been found. The radar operator measures the angles of depression to the front and back of the sunken vessel to be 55° and 46°. How long, to the nearest tenth of a metre, is the sunken vessel?
Answer:
The length of the sunken vessel, to the nearest tenth is 200 m
Step-by-step explanation:
The given information are;
The depth of the sunken vessel below the ship = 120 m
The angle of depression to the front of the sunken vessel = 55°
The angle of depression to the back of the sunken vessel = 46°
Therefore, we have;
The length, A, of the from directly below the ship to the front of the sunken vessel given as follows;
Tan(55°) = ((120 m)/A)
A = 120 / Tan(55°) ≈ 84.025 m
The length, B, of the from directly below the ship to the back of the sunken vessel given as follows;
tan(46°) = ((120 m)/B)
B = 120 / tan(46°) ≈ 115.88 m
The length, L, of the sunken vessel = A + B
L = A + B = 120 / Tan(55°) + 120 / tan(46°) ≈ 84.025 m + 115.88 m ≈ 199.91 m
∴ The length, L, of the sunken vessel, to the nearest tenth = 200 m.
PLEASE HELP ME WITH THIS 17 points!! PLEASEEEE IM BEGGING YOU!!!
Answer:
x = 2
Step-by-step explanation:
Step 1: Convert to math
5x + 1 = 3x + 5
Step 2: Solve for x
Subtract 4x on both sides: 2x + 1 = 5Subtract 1 on both sides: 2x = 4Divide both sides by 2: x = 2Step 3: Check
Plug in x to verify it's a solution.
5(2) + 1 = 3(2) + 5
10 + 1 = 6 + 5
11 = 11
Answer:
2
Step-by-step explanation:
there are 5 x's and 1 positive one of the left side, and 3 x's and five positive one's on the right side. when you put this into an equation, you get:
5x+1 = 3x+5
the first step to solving the equation is to subtract 3x from both sides:
5x+1 -3x = 3x+5 -3x
2x+1 = 5
next, subtract 1 from both sides:
2x+1 -1 = 5 -1
2x=4
finally, divide both sides by 2:
2x ÷2 = 4 ÷2
x=2
and the answer is: 2
4 Amina and Sara have £320 between them.
They share the money in the ratio 5:3
How much money does Amina receive?
Conjugate of complex number i^3 – 4 is
(a)i^3 + 4
(b) 4 – i
(c) -4+i
(d) -4 – i
Answer:
(c) -4+i is conjugate of complex number i^3 – 4 is
Step-by-step explanation:
-4+i^3
=-4+(i^2)i
=-4+(-1)i
=-4-i
Conjugate of x+iy= x-iy
So, conjugate of -4-i= -4+i
Hope it helps :-)
The conjugate of a complex number is a complex number with the same real part, but a negated imaginary part. The conjugate of [tex]i^3 - 4[/tex] is [tex]-4 + i[/tex]
Let the complex number be N. So:
[tex]N = i^3 - 4[/tex]
In complex numbers,
[tex]i = \sqrt{-1}[/tex]
Take cube of both sides
[tex]i^3 = (\sqrt{-1})^3[/tex]
Split
[tex]i^3 = (\sqrt{-1}) \times (\sqrt{-1}) \times (\sqrt{-1})[/tex]
[tex]i^3 = -1 \times (\sqrt{-1})[/tex]
Substitute [tex]i = \sqrt{-1}[/tex]
[tex]i^3 = -1 \times i[/tex]
[tex]i^3 = -i[/tex]
So, we have:
[tex]N = i^3 - 4[/tex]
[tex]N = -i - 4[/tex]
Rewrite as:
[tex]N = -4 - i[/tex]
A complex number a + bi has a- bi as its conjugate.
So, the conjugate of N is:
[tex]N' = -4 + i[/tex]
Hence, (c) is correct
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20,480 , 30,480 , __________ , 40,480 sequence
Answer:
35,240
Step-by-step explanation:
If f(x) = (2x² + 5), then f'(x)
=======================================
Work Shown:
f(x) = 2x^2 + 5
f ' (x) = d/dx[ 2x^2 + 5 ]
f ' (x) = d/dx[ 2x^2 ] + d/dx[ 5 ]
f ' (x) = 2*d/dx[ x^2 ] + d/dx[ 5 ]
f ' (x) = 2*2x^1 + 0
f ' (x) = 4x
An average swimming pool contains 19200 gallons of water. The pool needs drained at the end of the summer. Water drains from the pool at the rate of 12 gallons per minute.
Which equation can be used to find the volume, V, of the water in the pool m minutes after draining begins?
An average swimming pool contains 19200 gallons of water. The pool needs drained at the end of the summer. Water drains from the pool at the rate of 12 gallons per minute.
Which equation can be used to find the volume, V, of the water in the pool m minutes after draining begins?An average swimming pool contains 19200 gallons of water. The pool needs drained at the end of the summer. Water drains from the pool at the rate of 12 gallons per minute.
Which equation can be used to find the volume, V, of the water in the pool m minutes after draining begins?An average swimming pool contains 19200 gallons of water. The pool needs drained at the end of the summer. Water drains from the pool at the rate of 12 gallons per minute.
Which equation can be used to find the volume, V, of the water in the pool m minutes after draining begins?An average swimming pool contains 19200 gallons of water. The pool needs drained at the end of the summer. Water drains from the pool at the rate of 12 gallons per minute.
Which equation can be used to find the volume, V, of the water in the pool m minutes after draining begins?An average swimming pool contains 19200 gallons of water. The pool needs drained at the end of the summer. Water drains from the pool at the rate of 12 gallons per minute.
Which equation can be used to find the volume, V, of the water in the pool m minutes after draining begins?
[tex]61y)6y \times 2 \div \sqrt[ \geqslant | | \frac{ > > < = {348)48)98)8(978). > \\ | > | \sqrt[m \: \% log( \beta \tan( \\ log_{ log_{ \binom{ \\ \\ {}cbc log(\pi \beta \sec( \cos( \tan( \sin( \infty e log( ln( log( ln( > .15 - 756 { > | > | < \sqrt[ < 5x6y6)9x9yyyy \div \frac{ \\ 2697930046y - xy > \geqslant \: \binom{ log( \binom{ \sec( \gamma \\ }m{cx > 03y9)y \times ) }{?} ) }{?} \times \frac{?}{?} }{?} \times \frac{?}{?} ]{?} | | }^{?} ) ) ) ) ) ) ) ) ) }{?} }(?) }(?) ) ) ]{?} | | }^{?} }{?} | | ]{?} [/tex]
please mark me as brainliest. ...........
follow me .....my friend. .....
Help me ASAP! No explanation just answer for me really quick it would be a lot of help
Answer:
3/4= 0.75
9/10= 0.9
8/25= 0.32
5/8= 0.625
Step-by-step explanation:
Answer:
3/4 = 0.75, 9/10 = 0.90, 8/25 = 0.32, 5/8 = 0.625
Step-by-step explanation:
hope this helps!
Question 4 Which is a TRUE statement about the transformation shown?
The graph shows a translation, and the pre-image and image are congruent.
The graph shows a reflection, and the pre-image and image are congruent.
The graph shows a translation, and the pre-image and image are similar.
The graph shows a reflection, and the pre-image and image are similar.
Answer:
reflection
Step-by-step explanation:
the second picture is the same distance away form the y axis as the first picture
The graph shows a reflection, and the pre-image and image are congruent.
The correct option is B.
What is a reflection?A reflection is a type of transformation that involves flipping a shape, known as the preimage, over a line, known as the line of reflection, to produce a new shape (called the image). You can picture what would happen if you flipped the form over the line in order to graph a reflection.
Given:
The transformation shown in the graph is reflection.
The graph shows a reflection, and the pre-image and image are congruent.
Because the distance between the vertices are equal and angles are equal.
Therefore, the pre-image and image are congruent.
To learn more about the reflection;
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After 7 years, three times the age of Lalit
be equal to his father's age which is eques
6 times Lelit's present age find the pres
ages of both of them.
v=lwh (solve for w)
Use the graph that is shown to complete the following sentence.
When x = -3, then y =
.
Answer:
When X=-3 Y= -6
Step-by-step explanation:
Answer:
-6
Step-by-step explanation:
I had the same question a couple years back and this paragraph really helped me out, hopefully it does the same for you. The coordinate plane is a way that we have to locate points in two dimensions. It consists of two intersecting lines that we call axes. The axes are number lines with positive and negative values. The horizontal line is referred to as the x-axis, and the vertical line is the y-axis. The coordinate plane is divided into four quadrants. These quadrants are named with Roman numerals and are numbered starting in the top, right section and moving counter-clockwise.
1.5-6 - (-3) *
(5 Points)
Enter your answer
Please help...I need it
Answer:
1.5
Step-by-step explanation:
1.5-6 - (-3)=1.5-6+3=-4.5+3=1.5
Hellllpppdoekwowlebqqjhq we pleaseeesssswwsawws
Answer:
79 degrees.
I can give an explanation if you need.
A bakery bakes 4 dozen loaves of bread every 18 hours. Find the unit rate to the nearest hundredth.
A single train ticket cost $3.50.A book of 5 cost 15.00. How much money can be saved by buying a book of 5 tickets rather than 5single tickets?
Answer:
$2.50
Step-by-step explanation:
$3.50 * 5 = $17.50
$17.50 - $15.00 = $2.50
Hope this helps
Answer:
3.50 x 5 = 17.50 - 15.00 = 2.50
Step-by-step explanation:
youll save $2.50
Select all the ratios that are equivalent to each other. 4:7, 8:15, 16:28, 2:3, 20:35
Answer:
4:7 16:28 20:35
Step-by-step explanation:
Answer:
4:7 = 16:28
Step-by-step explanation:
4 × 4 = 16
7 × 4 = 28
Question
Enter a recursive rule and an explicit rule for the arithmetic sequence. Then, find the 20th term of the
sequence
55, 65, 75, 85,-
The recursive rule is f(1) =
f(n)=f(?
+
The explicit rule is f(n) =
+
?
f(20) =
Answer:
The recursive rule is [tex]f(1)[/tex] = first term; [tex]f_({n})[/tex] = [tex]f_({n-1})[/tex] + d
f(1) = 55; [tex]f_{20}[/tex] = [tex]f_{19}[/tex] + 10
The explicit rule is f(n) = f(1) + (n - 1)d
f(20) = 245
Step-by-step explanation:
The recursive rule of the arithmetic sequence is
[tex]a_{1}[/tex] = first term; [tex]a_{n}[/tex] = [tex]a_{n-1}[/tex] + d
Where:
[tex]a_{1}[/tex] is the first term in the sequence [tex]a_{n}[/tex] is the nth term in the sequence [tex]a_{n-1}[/tex] is the term before the nth term n is term number d is the common difference.The explicit rule of the arithmetic sequence is
[tex]a_{n}=a_{1}+(n-1)d[/tex]
where:
[tex]a_{1}[/tex] is the first term in the sequence [tex]a_{n}[/tex] is the nth term in the sequence n is term number d is the common difference∵ The first 4 terms of the sequence are 55, 65, 75, 85
∴ [tex]a_{1}[/tex] = 55
∵ d = 65 - 55
∴ d = 10
∵ We need to find the 20th term
∴ n = 20
∵ The recursive rule is [tex]f(1)[/tex] = first term; [tex]f_({n})[/tex] = [tex]f_({n-1})[/tex] + d
→ Substitute the values of [tex]a_{1}[/tex], n, and d in recursive rule
∴ f(1) = 55; [tex]f_{20}[/tex] = [tex]f_{19}[/tex] + 10
∵ The explicit rule is f(n) = f(1) + (n - 1)d
→ Substitute the values of n and d to find it
∴ f(20) = 55 + 19(10) = 245
∴ f(20) = 245
use absolute value to express the distance between -10 and 16
Answer:
The distance is 6
Step-by-step explanation:
the absolute value of -10 is simply 10.
So when trying to find the distance between 10 and 16 simply subtract to find the distance.
Hope this helped, and have a great day
pls help giving brbrainlyist
The fourth choice. For example, (x+2)(x-2)>0 we'll get x>2 or x<-2 because whenever you substitute x>2 for example x = 3, the value will be higher than 0 itself.
If we substitute x = 3 (for x>2)
We'll get (3+2)(3-2)>0
5(1)>0
5>0 The statement is true.
If we substitute x = -3 (for x<-2)
We'll get (-3+2)(-3-2)>0
-1(-5)>0
5>0 The statement is true.
We don't say x>2 AND x<-2, In math, we only say x>2 OR x<-2
Answer:
x >2 and x < -2
Step-by-step explanation:
The line on the right starts on -2 and goes towards -10
So ; x is x < -2
The line on the right starts on 2 and goes towards 10
So ; x is x >2
Rebecca wants to bye cupcakes and juice boxes for a party.Cupcakes come in packages of 12, and juice boxes come in packages of 10. She wants an equal number off cupcakes and juice boxes.What is the fewest number of packages of each Rebecca should buy?
Answer:
Rebecca would need to buy 5 packages of cupcakes and 6 packages of juice boxes
Step-by-step explanation:
To find the equal number of cupcakes and juice boxes, you have to find the LCM(least common multiple)
12×1 = 12 ≠ 10 ×1 = 12
12×2 = 24 ≠ 10×2 = 20
12×3 = 36 ≠ 10×3 = 30
12×4 = 48 ≠ 10×4 = 40
12× 5 = 60 ≠ 10×5 = 50
12 × 5 = 60 = 10×6 = 60
Therefore, Rebecca would need to buy 5 packages of cupcakes and 6 packages of juice boxes
Hope this made sense!!!
help me with this please
Answer: D. 3 x 10^7
Step-by-step explanation: 9.6/3.2=3 and 10^9/10^2 is 9-2=7, so 10^7, so it would be 3 x 10^7.
If you know that the vertex of a function is (-3,2) and the value of a=-1 then what is the vertex form of the function
what is the answer to 42 + 8 = 20
Answer:
FALSE
Step-by-step explanation:
50=20(WRONG)
Round 25.29 to the nearest whole number.
Answer:
25
Step-by-step explanation:
Answer:
25
Step-by-step explanation:
If the first digit in the fractional part of 25.29 is less than 5 then we simply remove the fractional part to get the answer. If the first digit in the fractional part of 25.29 is 5 or above, then we add 1 to the integer part and remove the fractional part to get the answer.
Tracy stopped at the convenience store on her way to school. With tax, bottles of soda cost 1.50 and bags of chips cost 2.50. If she has 12, what is the greatest number of bags of chips she can buy and still have enough money left to buy two bottles of soda?
Answer:
i think the answer is 3 she can buy 3 bags of chips
Step-by-step explanation:
Write the equation of the line that passes through the point (3,5) and is perpendicular to the line y=3.
x=3
y=5
x=2
y=3
Answer:
x=3 and y=5 passes through(3,5)
x=2 and x=3 is perpendicular to y=3
so anwer is x=3
simplify the radical (plz show your work step by step) :)
-8√42
Answer:
في الأسبوع الماضي ، اشترى تشين جالونًا من البنزين للغالون الواحد. هذا الأسبوع اشترى جالونًا من البنزين مقابل الدولار للغالون
Step-by-step explanation:
Answer:
cannot be simplified
Step-by-step explanation:
[tex]-8\sqrt{42}\\\\=-8\sqrt{2*3*7}\\\\=-8\sqrt{42}[/tex]
HELP WILL MARK YOU BRAINLIEST NO GUESS PLZ!!!!
Answer:
the first one
Step-by-step explanation:
Answer:
The first one
Step-by-step explanation:
This is because, the symbol // means "parallel to" in geometry.
Parallel means when two line segments are corresponding with each other and they never meet. (beside one another)
The rest of the options don't make any sense. For example choice 2 states that FG is perpendicular to TU. Perpendicular would mean that the line creates a 90 degree angle when they intersect. So that's false, and the same goes for choice 3.
Choice 4 states that TU is parallel to FG, which is completely false because they both intersect.
