Answer:
A = -1
B = -3
Step-by-step explanation:
you need to do all the multiplication on both sides and then simply compare the factors of the various powers of x.
so,
-9x² - 9×A×x + 2 = 3×B×x² + 6x -Bx - 2 + 4
-9x² - 9×A×x + 2 = 3×B×x² + (6-B)x + 2
the x-less constants 2 = 2 are correct. now we need to compare the factors for the other parts of x.
we have left and right only one expression of x²
-9x² on the left
3×B×x² on the right
therefore,
-9 = 3×B
=> B = -3
otherwise the equation would not be correct for all values of x.
the only other parts remaining are
-9×A×x = (6-B)x = (6 - -3)x = (6+3)x = 9x
=>
-9×A = 9
-A = 1
A = -1
remember, all parts of the left and of the right side must be equal for the equation to be true in all cases.
Karl wants to fertilize his 6 acres. If it takes 7 StartFraction 2 Over 3 EndFraction bags of fertilizer for each acre, how much fertilizer does Karl need to buy?
Answer:
46
Step-by-step explanation:
Just multiply 6 by 7 2/3 to get 46.
Answer:
The answer is 46 bags
Step-by-step explanation:
Have a good summer!!!
Which number line represents the solution set for the inequality? HELP PLEASE
Answer:
sorry i dont know next time ill surely help when i know.
pls answer i’ll give brainliest if it lets me
Answer:
32.25
Step-by-step explanation:
1 quart = 32 fluid ounces
12 months = 1 year
86 quarts/1 month = 1032 quarts/12 months
1032/32 = 32.25 fluid ounces
What is the length of each leg of the triangle below?
459
22
90°
45
O A. 11.12
B. 1
C. 15
D. 11
ET
F. 22
Answer:
option A
Step-by-step explanation:
since the given triangle is an isosceles triangle it's two remaining sides are equal
let the length of missing side be x
using pythagoras theorem
a^2 + b^2 = c^2
x^2 + x^2 = 22^2
2x^2 = 484
x^2 = 484/2
x = [tex]\sqrt{242}[/tex]
x = [tex]11\sqrt{2}[/tex]
At : a.m. the angle of elevation of the sun for one city is . If the height of a monument is approximately , what is the length of the shadow it will cast at that time? Round to the nearest foot.
This question is incomplete, the complete question;
At 11:30 a.m. the angle of elevation of the sun for one city is 55.7°. If the height of a monument is approximately 555 ft, what is the length of the shadow it will cast at that time? Round to the nearest foot.
Answer:
the length of the shadow will be 379 ft
Step-by-step explanation:
Given the data in the question and as represented in the diagram below;
height of monument = 555 ft
angle of elevation = 55.7°
From the image below, this makes a right angled triangle
we know that the some of the interior angles of a triangle is 180
so
∠ABC + ∠BCA + ∠CAB = 180°
90° + 55.7° + ∠CAB = 180°
∠CAB = 180° - 145.7°
∠CAB = 34.3°
Now, using sine rule;
BC / sinA = AB / sinC
so we substitute
BC / sin( 34.3°) = 555 / sin( 55.7° )
BC / 0.563526 = 555 / 0.826098
we cross multiply
BC × 0.826098 = 0.563526 × 555
BC × 0.826098 = 312.75693
BC = 312.75693 / 0.826098
BC = 378.595 ≈ 379 ft
Therefore, the length of the shadow will be 379 ft
approximate 10.54 to the nearest ten
Answer:
11 because <.5 is rounded to the next ten
in order for the parallelogram to be a rhombus x=
Answer:
17
Step-by-step explanation:
Properties used:-
All sides of rhombus are equal therefore in the triangles
EQUAL SIDE OPPOSITE TO ANGLES, ANGLES BECOME EQUAL
then we use alternate interior angles
Then we get,
3x-11=x+23
2x=34
x=17
Borrows £10,000 over 5 years simple interest rate of 15%
Answer:
[tex]{ \tt{simple \: interest = p \times r \times t}} \\ = 10000 \times 15\% \times 5 \\ = £7500[/tex]
Find the value of x if x/3-2=6
Step-by-step explanation:
hope it is helpful to you
stay safe happy and healthy
[tex]\huge\textsf{Hey there!}[/tex]
[tex]\mathsf{\dfrac{x}{3}-2=6}[/tex]
[tex]\mathsf{= \dfrac{1}{3}x - 2 = 6}[/tex]
[tex]\textsf{ADD 2 BOTH SIDES}[/tex]
[tex]\mathsf{\dfrac{1}{3}x - 2 + 2 = 6 + 2}[/tex]
[tex]\textsf{CANCEL out: -2 + 2 because that gives you 1}[/tex]
[tex]\textsf{KEEP: 6 + 2 because that helps solve for x}[/tex]
[tex]\mathsf{6 + 2 = \boxed{\bf 8}}[/tex]
[tex]\mathsf{NEW \ EQUATION: \dfrac{1}{3}x = 8}[/tex]
[tex]\textsf{MULTIPLY 8 to BOTH SIDES}[/tex]
[tex]\mathsf{3\times\dfrac{1}{3}x=3\times8}[/tex]
[tex]\mathsf{CANCEL\ out: \ 3 \times \dfrac{1}{3} \ because \ that \ gives \ you \ 1}[/tex]
[tex]\mathsf{KEEP: \ 3 \times 8 \ because \ that\ gives \ you \ the \ value \ of \ x}[/tex]
[tex]\mathsf{\boxed{\bf x}= 3\times8}[/tex]
[tex]\mathsf{3\times8 = \boxed{\bf x}}[/tex]
[tex]\boxed{\boxed{\large\textsf{Answer: \huge \bf x = 24}}}\huge\checkmark[/tex]
[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Solve for X in the triangle. Round your answer to the nearest TENTH. (LISTING BRAINLIST PLZ HELP)
Answer:
2.3 =x
Step-by-step explanation:
We know the opposite and adjacent sides.
Since this is a right triangle, we can use trig functions
tan 38 = opp/ adj
tan 38 = x/3
3 tan 38 = x
2.34385688= x
To the nearest tenth
2.3 =x
Answer:
x ≈ 3.9
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityTrigonometry
[Right Triangles Only] SOHCAHTOA [Right Triangles Only] tanθ = opposite over adjacentStep-by-step explanation:
Step 1: Define
Identify variables
Angle θ = 38°
Opposite Leg = x
Adjacent Leg = 5
Step 2: Solve for x
Substitute in variables [tangent]: tan38° = x/5[Multiplication Property of Equality] Multiply 5 on both sides: 5tan38° = xRewrite: x = 5tan38°Evaluate: x = 3.90643Round: x ≈ 3.9Will mark Brainlest hellpppp
[tex]h(-3) - h( - 2) = - \frac{5}{ 8} \\ \\ [/tex]
Step-by-step explanation:
[tex]\boxed{h(x) = \frac{2 {x}^{2} - x + 1}{3x - 2}}[/tex]
[tex]h(2) = \frac{2 {(2)}^{2} - (2) + 1}{3(2) - 2} [/tex]
[tex]h(2) = \frac{2 {(4)} - 2 + 1}{6 - 2} [/tex]
[tex]h(2) = \frac{ 8 - 1}{4} [/tex]
[tex]h(2) = \frac{7}{4}[/tex]
[tex]h( - 3) = \frac{2 {( - 3)}^{2} - ( - 3) + 1}{3( - 3) - 2} \\ h( - 3) = \frac{2 (9) + 3 + 1}{ - 9- 2} \\ h( - 3) = \frac{18 + 4}{ - 11} \\ h( - 3) = \frac{22}{ - 11} \\ h(-3) = -2[/tex]
[tex]h( - 2) = \frac{2 {( - 2)}^{2} - ( - 2) + 1}{3( - 2) - 2} \\ h( - 2) = \frac{2 (4) + 2+ 1}{- 6 - 2} \\ h( - 2) = \frac{8 + 3}{- 8} \\ h( - 2) = \frac{11}{- 8} [/tex]
[tex]h(3) - h( - 2) = -2 - \frac{11}{- 8} \\ h(3) - h( - 2) =-2 + \frac{11}{ 8} \\ h(3) - h( - 2) = \frac{-2}{1}+ \frac{11}{ 8} \\ h(3) - h( - 2) = \frac{-16}{8} + \frac{11}{ 8} \\ h(3) - h( - 2) = \frac{-16+11}{8} \\ h(3) - h( - 2) = \frac{-5}{8} \\ - \frac{5}{ 8} [/tex]
HELP !!!! look at the picture
Answer:
Option C:
g(x) = -3^x
Step-by-step explanation:
Here we can see the graphs of f(x) and the graph of g(x).
By only looking at that, we can see that g(x) is a reflection across the x-axis of f(x).
Remember that for a general function f(x), the reflection across the x-axis is written as:
g(x) = -f(x).
Then, if f(x) = 3^x
and g(x) = -f(x)
replacing f(x) we get:
g(x) = -(3^x) = -3^x
The correct option is C.
Anita had $400 in her savings account when she went to college. Her parents will add $200 to her account each month.
Miguel had $25 in his savings account. His parents will double the amount in his account each month.
If Anita and Miguel do not take any money from their accounts, whose account will grow faster? Explain why.
Answer:
Miguel's account
Step-by-step explanation:
Miguel's account savings are doubled every month. Hence, they will eventually surpass the savings of Anita, even though Anita's account has more money atm.
Answer:
Miguel's account
Step-by-step explanation:
Even though Anita had more money at first compared to Miguel, Miguel savings will double each month while Anita will get only $200 each month. As a result, Miguel's account will grow faster compared to Anita's.
Complete each congruency statement and name the rule used. If you cannot show the triangles are congruent from the given information, leave the triangle's name blank and write CNBD for "Cannot be determined" in place of the rule. ∆ARE ≅ ∆_____ by _____
Answer:
add a picture so i can see .
Step-by-step explanation:
What is an
equation of the line that passes through the points (0, -1) and (6, 1)?
Answer:
y = 1/3x -1
Step-by-step explanation:
The slope is y2 - y1 / x2 - x1
y2 is 1
y1 is -1
x2 is 6
x1 is 0
So it is 1 - (-1) / 6 - 0, or 2/6, or 1/3
The slope is 1/3.
The y-intercept is the place where x is 0. It shows the y-intercept here as
(0, -1), The y-intercept is -1
Slope form is y = mx + b. m is the slope, 1/3, and b is the y-intercept, -1
So the equation is: y = 1/3x -1
Help help help help help
Answer:
m(∠y) = 64°
Step-by-step explanation:
From the figure attached,
m(∠e) = 90°
m(∠b) + 67° = 180° [Linear pair of angles]
m(∠b) = 180 - 67
= 113°
m(∠c) + 75° = 180° [Linear pair of angles]
m(∠c) = 105°
m(∠a) = m(∠d)
By the property of a polygon,
Sum of the interior angles of a polygon is given by,
Sum of interior angles = (n - 2) × 180°
Here, n = number of sides of the polygon
For n = 5,
Sum of interior angles = (5 - 2)×180°
= 540°
m(∠a) + m(∠b) + m(∠c) + m(∠d) + m(e) = 540°
2m(∠d) + 113° + 105° + 90° = 540°
2m(∠d) + 308 = 540°
2m(∠d) = 540 - 308
m(∠d) = 116°
m(∠d) + m(∠y) = 180°
m(∠y) + 116° = 180° [Linear pair of angles]
m(∠y) = 64°
Pencils cost x cents and erasers cost y cents each. Mary buys 7 pencils and 3 erasers. Write down the total cost in cents, in terms of x and y.
Answer:
7x + 3y.
Step-by-step explanation:
7 pencils cost 7x cents and 3 erasures cost 3y cents.
một nhà máy có 3 phân xưởng, tỉ lệ là 20%, 30%, 50%. tỉ lệ sản phẩm loại một của các phân xưởng lần lượt là 90%, 85%, 80%
lấy ngẫu nhiên 1 sản phẩm của nhà máy, tính xác suất để được sản phẩm loại một
Answer:
83.5%
Step-by-step explanation:
90% × 20% + 85% × 30% + 80%× 50%
One hundred forty-eight ten thousandth is
The question is one the picture
Answer:
y=-1/2x+4
Step-by-step explanation:
The line is going down, which means it's negative. You then do rise over run, go up by 1 and go to the left by 2. To find the y intercept, it's 4 since the coordinate is (0,4).
A) work out the value of g.
Give your answer in standard form correct to three significant figures.
B) work out the new value of g. Give your answer in standard form correct to 3 significant figures. (M is increased by 8% and T is increased by 5%).
Answer:
4547.14
Step-by-step explanation:
m increased by %8 so it'll be
[tex]6.588 \times {10}^{ - 5} [/tex]
and t will be
[tex]1.785 \times {10}^{ - 6} [/tex]
so G =
[tex] \sqrt{ \frac{(6.588 \times {10}^{ - 5}) }{ {(1.785 \times {10}^{ - 6}) }^{2} } } [/tex]
G= 4547
SOMONE HELP WITH MATH
Answer:
x = 28
Step-by-step explanation:
HFG = EFI
6x - 4 = 164
6x = 164 + 4
6x = 168
x = 168/6
x = 28
Work out the following, giving your answers in their simplest form:
b) 5/9 ÷ 5
Answer:
5/9÷55/9×1/51/9Hope it helps youAnswer:
Since i m not sure of the equation i have dont both possible ways :)
Step-by-step explanation:
b)
(5/9) ÷ 5
[tex]= \frac{5}{9} \div 5\\\\=\frac{\frac{5}{9}}{5}\\\\=\frac{5}{9 \times 5}\\\\=\frac{1}{9}[/tex]
5/(9÷5)
[tex]=\frac{5}{9 \div5}\\\\= \frac{5}{\frac{9}{5}}\\\\=\frac{5 \times 5}{9}\\\\=\frac{25}{9}[/tex]
2. Tricky Flips sells a coin that promises to land on heads 3 out of every 4 times. If the coin is
flipped 20 times, which of the following is the number of times you should expect it to land
on head
Answer:
15
Step-by-step explanation:
Because 3/4 of 20 or 75% of 20 is 15
a solid wooden cube has 4.35cm long.calculate the volume of the cube
Answer:
82.31
Step-by-step explanation:
I believe this is correct, if it isn't feel free to let me know and I will fix it. I'm sorry in advance if this is incorrect.
At Marco’s school, 5/8 of the students are in the band. What percent of the students are in the band?
10
17 A sequence starts at 300 and 40 is subtracted each timee.
300
260
2200
1800...
The sequence continues in the same way,
What is the first number in the sequence which is less than zerol?
[11]
9514 1404 393
Answer:
-20
Step-by-step explanation:
300/40 = 7.5, so the 8th term will be the last positive term. It will be 300 -7×40 = 20. The 9th term will be 20 -40 = -20.
__
The sequence starts ...
300, 260, 220, 180, 140, 100, 60, 20, -20, ...
Help!!
f is a quadratic function where f(2) = 0, f(-2) = 0, and f(0) = -0.12. Find an algebraic equation for
f(u).
Answer:
bad gvkvkgcnhvvjzadhljang
v
gjddkfzutwdjtabkf
What is the volume of the solid figure?
help pls
Answer:
B, 4x6x7 and 1x3x3.
Step-by-step explanation:
First, remember the formula: V=LWH (Volume equals length times width times height). Lastly, find the equations that match that formula, therefor B, 4x6x7 and 1x3x3 matches the formula, so B is your correct answer.
Which expression is equivalent to xy^2/9?
Answer:
[tex]xy^\frac{2}{9} = x*\sqrt[9]{y^2}[/tex]
Step-by-step explanation:
Given
[tex]xy^\frac{2}{9}[/tex]
Required
The equivalent expression (see attachment)
We have:
[tex]xy^\frac{2}{9}[/tex]
Split
[tex]xy^\frac{2}{9} = x*y^\frac{2}{9}[/tex]
Apply the following laws of indices
[tex]y^\frac{m}{n} = \sqrt[n]{y^m}[/tex]
So, we have:
[tex]xy^\frac{2}{9} = x*\sqrt[9]{y^2}[/tex]
Hence (d) is correct
Answer:
Its D.
Step-by-step explanation:
Just took the quiz on EDGE2022
