Answer:
(i) 2x+3y=9.3
5
ˉ
⇒2x+3y−9.3
5
ˉ
Comparing the equation with ax+by+c=0
a=2,b=3,c=−9.3
5
ˉ
Answer:
[tex]\frac{9}{4}[/tex] - (x - [tex]\frac{3}{2}[/tex] )²
Step-by-step explanation:
Given
3x - x² ← factor out - 1 from each term
= - (x² - 3x)
Using the method of completing the square
add/subtract ( half the coefficient of the x- term)² to x² - 3x
= - (x² + 2(- [tex]\frac{3}{2}[/tex])x + [tex]\frac{9}{4}[/tex] - [tex]\frac{9}{4}[/tex] )
= - (x - [tex]\frac{3}{2}[/tex] )² - 1(- [tex]\frac{9}{4}[/tex] )
= [tex]\frac{9}{4}[/tex] - (x - [tex]\frac{3}{2}[/tex] )²
A sofa is on sale for $442, which is 85% of the regular price.
[tex]\frac{442}{x} = \frac{85}{100} \\85x = 44200\\x = \frac{44200}{85} = 520[/tex]
Original price is 520
Hello! Can someone please answer the photo? I honestly forgot about Prime Factorization... No links please and thank you!
Answer:
D
Step-by-step explanation:
im thinking its d, because prime factorisation is a way of expressing a number as a product of its prime factors.
a isn't correct since 9 isn't is a prime number.
b isn't correct because you wouldn't use decimals typically.
c isn't correct because 1 is not a prime number.
d is the only correct solution since all the numbers listed are prime numbers.
28) Find the circumference of a circle with a diameter of 2.5 inches. (it = 3.14)
Answer: Circumference = 7.85 inches
Concept:
Here, we need to know the idea of circumference.
The circumference is the perimeter of a circle. The perimeter is the curve length around any closed figure.
Circumference = 2πr
r = radius
π = constant
Solve:
Given information
r = (1/2) d = (1/2) (2.5) = 1.25 inches
π = 3.14
Given formula
Circumference = 2πr
Substitute values into the formula
Circumference = 2 · (3.14) · (1.25)
Simplify by multiplication
Circumference = (2.5) · (2.14)
Circumference = [tex]\boxed {7.85 inches}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
Step-by-step explanation:
Using the formulas
C=2πr
d=2r
Solving forC
C=πd=π·2.5≈7.85398in
Cindy had $100 in her savings account. The bank accidentally charged her a $30 service fee. How much money does that leave her with as a balance? *
Answer:
$70
Step-by-step explanation:
Find how much money she has left by subtracting 30 from 100:
100 - 30
= 70
So, she has $70 left in her balance.
Find the place value of 7 in 374596
Answer:
It is tens
Step-by-step explanation:
3 » ones
[tex]{ \boxed{ \sf{7 \: » \: tens}}}[/tex]
4 » hundreds
5 » thousands
9 » ten thousands
6 » hundred thousands
8= 8 + 4x +5x
can anyone help me with this
Answer:
0= x
Step-by-step explanation:
8= 8 + 4x +5x
Combine like terms
8 = 8+9x
Subtract 8 from each side
8-8 =8+9x-8
0 = 9x
Divide by 9
0/9 = 9x/9
0= x
Build a function whose domain is all real numbers other than -4, and whose range is all real numbers other than 5.
Answer:
An example is the rational function [tex]y=\frac{5x}{x+4}[/tex].
Step-by-step explanation:
The graph of the rational function [tex]y=\frac{5x}{x+4}[/tex] has a vertical asymptote at x = -4 where the denominator is equal to zero. The function is undefined there, so the domain is all real numbers except -4.
The graph has a horizontal asymptote y = 5 so the domain is all real numbers except 5.
See the attached image for the graph of the function (purple) and it's vertical asymptote (black).
Point C is in the interior of
Answer:
Point C is in the interior of angle ABD.
16.
Select all transformations that carry rectangle
ABCD onto itself.
A. Rotate by 90 degrees clockwise using center P.
B. Rotate by 180 degrees clockwise using center P.
C. Reflect across line m.
D. Reflect across diagonal AC.
E. Translate by the directed line segment from A to B.
Answer:
I got B and C.
Step-by-step explanation:
When you rotate by 180° you turn it so that it is facing the other way (ie D is B, C is A, etc) since it's a rectangle, when you rotate by 180°, you still have the same rectangle with angles in the same corners. when you reflect across the midpoint, you are just flipping your rectangle over, and so would again have the same effect as turning it 180°.
Solve for w.
|5w + 7) = |5w + 8)
please help :)
Answer:
w=3/2
Step-by-step explanation:
[tex]|5w+7|=|5w+8|\\5w + 7 =\pm (5w+8)\\5w + 7 = 5w + 8 \text{ or } 5w + 7 = -5w-8\\7 = 8 (\text{abusrd}) \text{ or } 10 w =15\\w= 15/10 = 3/2.[/tex]
give the distance between two points with the given coordinates.
-10.3 and -12.1
brainiest to whoever right
Answer:
(x - 6)(x + 2)
Step-by-step explanation:
x^2 - 4x - 12
=x^2 - 6x + 2x - 12
=x( x - 6) + 2(x - 6)
=(x - 6)(x + 2)
Answer:
x^2 -4x-12
factorization of 12 =2×2×3 = 6×4
or in the place of 4x = we put (6-2)x
x^2-(6-2)x-12
x^2-6x+2x-12
x(x-6)+2(x-6)
(x-6) (x+2)
create 5 problems using all operations that has a solution of 5
Answer:
((5*5) + (10-5) * (50/100)) ÷ 3 = 5
((4*4)+(17-8 *(1.378/2)) ÷ 3.445 = 5
Step-by-step explanation:
One airline carried 3,720 people on 31 flights between Portland and Los Angeles. If there were the same number on each flight, how many people were on each flight?
Please help ASAP!
Divide total people by total flights:
3720/31 = 120
There was 120 people on each flight
Can someone help me with an idea please? I need something like this for math and science week but i think my idea is really lame. It has to be a photograph and it can be physics, chemistry or math! Pls lmk your ideas cuz im running out of them
Answer:
take a light bulb and a potato and some wires connect together will give light
Answer:
i have attached a pic of an idea that might help you
:)
Given directed line segment JL below, find the coordinates of K such
that the ratio of JK to JL is 7:8. Plot point K.
The coordinate of JK is (-1.7, -0.3)
The coordinate of the points that divides the line segment in the given ratio is calculated as:
[tex](x, y) = (\frac{ax_1 +bx_2}{a+b} , \frac{ay_1 +by_2}{a + b} )[/tex]
where;
a:b = 7:8
From the image;
(x₁, y₁) = (-6, 5) and,
(x₂, y₂) = (2, -5)
Substitute the given points in the equation above to calculate the coordinates of JK.
[tex](x, y) = (\frac{7(-6)+8(2)}{7+8} , \frac{7(5) +8(-5)}{7+8} )\\\\(x, y) = (\frac{-26}{15} , \frac{-5}{15} )\\\\(x,y) = (-1.7, -0.3)[/tex]
Thus, the coordinate of JK = (-1.7, -0.3)
Check the image uploaded for the plot of point K
Learn more here:https://brainly.com/question/12547932
Tính đạo hàm cấp n của hàm số f(x) = 3x − 1
4x + 3
Answer:
so fx 3x-1 '4x+3
Step-by-step explanation:
please mark me brainliest answer
Solve equation by completing the square.
Answer:
x=3 and x=5
Step-by-step explanation:
x2−8x+15=0
To solve the equation, factor x2−8x+15 using formula x2+(a+b)x+ab=(x+a)(x+b). To find a and b, set up a system to be solved.
a+b=−8ab=15
Since ab is positive, a and b have the same sign. Since a+b is negative, a and b are both negative. List all such integer pairs that give product 15.
−1,−15−3,−5
Calculate the sum for each pair.
−1−15=−16−3−5=−8
The solution is the pair that gives sum −8.
a=−5b=−3
Rewrite factored expression (x+a)(x+b) using the obtained values.
(x−5)(x−3)
To find equation solutions, solve x−5=0 and x−3=0.
x=5x=3
hope it helps :)
If four times a certain number, increased by 6 is equal to 94, what is the number?
If x represents the number, then which of the following equations could be used to solve the problem?
4x + 6 = 94
x + 6 = 4(94)
4(x + 6) = 94
Answer:
4x + 6 = 94 could be used to solve the problem
Find the length of the third side. If necessary, round to the nearest tenth.
Answer:
a = 6
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean theorem
a^2+b^2 = c^2 where a and b are the legs and c is the hypotenuse
a^2 + 8^2 = 10 ^2
a^2 +64 = 100
a^2 = 100 -64
a^2 = 36
Take the square root of each side
sqrt(a^2) = sqrt(36)
a = 6
Renaldo can rollerblade 9.7 miles per hour. at this rate, how far will he rollerblade in 0.75 hours?
Answer: 1.125 miles
Step-by-step explanation:
A 45° angle is complementary to angle x. Which of the following equations represents this situation?
Step-by-step explanation:
A 45° angle is complementary to angle
45°+x°=90°
I hope it helped U
stay safe stay happy
how do you simplify this question x^3z^7/x^5z
Answer:
go to symbolab and it will simplify for you, brainly is useless with these kinds of questions. Symbolab.com very easy to use and gives you answer right away instead of have to wait for some oaf like me to solve your problems.
Step-by-step explanation:
Suppose a right triangle has a
hypotenuse length of 12. If one of
the legs has length 5, what would
the length of the last leg be?
Answer:
See the last two lines below. I don't know which one you want.
Step-by-step explanation:
hypotenuse = 12
One leg = 5
other leg = x Substitute into a^2 + b^2 = c^2
x ^2 + 5^2 = 12^2
x^2 + 25 = 144 Subtract 25 from both sides
x^2 = 144 - 25 Combine
x^2 = 119 Take the square root of both sides
x = sqrt(119)
x = 10.91
Rony earns 17 dollars less than half of what John earns. If John earns p dollars, how much does Rony earn in dollars?
a. p - 1/2
b. 1/2 + p
c. (p/2) - 17
d. 17 + (p/2)
Answer:
The correct choice is option c. (p/2) - 17
Adnan earns $48,000 per year. His employer offers him a 4 % raise if he stays with the company What would his new salary be ?
A. 49,929
B. 1,920
C.46,080
D. 192,000
Answer:
A. 49,920
Step-by-step explanation:
Multiply the beginning value by 1 plus the percentage in decimal form.
the ratio of two number is 4:7 and their hcf is 6 .find their lcm
168
this is the full process
can someone help me with this one again bc I didn't show the decimal Decimal: 0.44
Step-by-step explanation:
The answer is 10 times
=> 4 hundredths x 10 = 4 tenths
=> 0.04 x 10 = 0.4, which is correct
Hope that helps
How do I do this, is the equation 40=ksqrt(65)?
Answer:
Step-by-step explanation:
Start a little more generally. Carefully find k
distance = k * speed ^2
112 = k*40^2
112 = k * 1600 Divide by 1600
112/1600 = k
k = 0.07
Now do the question you are asked to do.
distance = k * speed^2
distance = 0.07 * 65^2
distance = 295.75
Now having done that, you can set up a proportion.
d1 / d2 = k speed1^2/kspeed2^2 Cancel the ks
112/d2 = 40^2 / 65^2 Cross multiply
112 * 65^2 = 40^2 * d2 Divide by 40^2
112 * 65^2/40^2 = d2 Expand the squares
112 * 4225 / 1600 = d2
295.75 = d2
The second way is shorter, but I suggest the long way until you get comfortable with it.
I NEED HELP ON THIS!!!
Look at the triangle below.
Which equation is equivalent to the law of cosines?
A
a2=c2−2cx+h2
B
a2=c2−2cx+x2+h2
C
a2=c−x2+h2
D
a2=c2−x2+h2
Answer:
I believe the answer is B. a^2 = c^2 - 2cx + x^2 + h^2
Step-by-step explanation:
The law of cosines states: c^2 = a^2 + b^2 - 2bc * cos(C). If we plug in the values from the diagram, we'll have (c-x)^2 = a^2 + h^2 -2ah * cos(90)
cos(90) = 0, so now we have just (c-x)^2 = a^2 + h^2
Let's expand this to c^2 -2cx + x^2 = a^2 + h^2
Isolate a^2 and we now have a^2 = c^2 -2cx + x^2 + h^2
pls vote me brainliest if i was able to help you!! <3