Answer:
Step-by-step explanation:
[tex](\dfrac{1}{2}a-\dfrac{2}{3}b)(\dfrac{3}{5}a+\dfrac{2}{3}b)=\dfrac{1}{2}a*(\dfrac{3}{5}a+\dfrac{2}{3}b) - \dfrac{2}{3}b*(\dfrac{3}{5}a+\dfrac{2}{3}b) \\\\\\= \dfrac{1}{2}a*\dfrac{3}{5}a + (\dfrac{1}{2}a*\dfrac{2}{3}b) - \dfrac{2}{3}b*\dfrac{3}{5}a- \dfrac{2}{3}b*\dfrac{2}{3}b\\\\\\=\dfrac{3}{10}a^{2} + \dfrac{1}{3}ab - \dfrac{2}{5}ab -\dfrac{4}{9}b^{2}\\\\=\dfrac{3}{10}a^{2} +\dfrac{1*5}{3*5}ab-\dfrac{2*3}{5*3}-\dfrac{4}{9}b^{2}\\\\\\[/tex]
[tex]=\dfrac{3}{10}a^{2}+\dfrac{5}{15}ab-\dfrac{6}{15}ab -\dfrac{4}{9}b^{2}\\\\=\dfrac{3}{10}a^{2}-\dfrac{1}{15}-\dfrac{4}{9}b^{2}[/tex]
Which of these functions have a domain of all real numbers?
Answer:
I think it's A. I may be wrong tho.
Answer: A. Functions f, g, and h
Step-by-step explanation: Plato answer
Write the slope intercept form of the equation given the slope of 4 and the y intercept
of (0,-2)
Answer:
y=4x-2
Step-by-step explanation:
m=4
put what numbers you know into the equation for b.
-2=4(0)+b
-2=0+b
-2=b
now put that into the equation
y=4x-2
Will give brainliest if correct
Find the slope:
15. (4, 3); (-1, 10)
16. (3, -5); (2, -5)
17. (-5, 2); (-5, 3)
Answer:
15) Slope (m) = -7/5
16) Slope (m) = 0
17) Slope (m) = 1/0 (It's an undefined slope, in other words it's just a vertical line)
Step-by-step explanation:
Use this formula for each, to find slope⤵⤵⤵
[tex] \frac{y {2} - y1}{x2 - x1} [/tex]
15) ⤵
[tex] \frac{10 - 3}{ - 1 - 4} = \frac{7}{ - 5} = - \frac{7}{5} [/tex]
16) ⤵
[tex]\frac{ - 5 - ( - 5)} {2 - 3} = \frac{0}{ - 1} = 0[/tex]
17) ⤵
[tex] \frac{ 3 - 2}{ - 5 - ( - 5)} = \frac{1}{0} [/tex]
Hope this helps :)
21
Determine which equations are in standard form.
A 6x-7y=8
B y = 2x + 6
1
с
52 + 2y = 3
=
D
4x - 11y =-7
E - 3x + 5y = 12
-
Suppose f(x) = 3x*2 - 2x
Find f(-4)
Answer:
f(- 4) = 56
Step-by-step explanation:
Substitute x = - 4 into f(x) , that is
f(- 4) = 3(- 4)² - 2(- 4) = 3(16) + 8 = 48 + 8 = 56
Rationalisie the denominator of: 4√3/2-√2
Answer:
[tex] \longmapsto4 \sqrt{3} + 2 \sqrt{6} .[/tex]
Step-by-step explanation:
[tex]\sf{\dfrac{4\sqrt{3}}{2 - \sqrt{2}}}[/tex]
By Rationalizing the denominator:-
[tex] = \sf{\dfrac{4\sqrt{3}}{2 - \sqrt{2}} \times \dfrac{2 + \sqrt{2}}{2 + \sqrt{2}}}[/tex]
[tex] = \sf{\dfrac{4\sqrt{3}(2 + \sqrt{2})}{(2)^2 - (\sqrt{2})^2}}[/tex]
[tex] = \sf{\dfrac{4\sqrt{3}(2 + \sqrt{2})}{4 - 2}}[/tex]
[tex] = \sf{\dfrac{4\sqrt{3}(2 + \sqrt{2})}{2}}[/tex]
[tex] = \sf{\dfrac{\not{4}\sqrt{3}(2 + \sqrt{2})}{\not{2}}}[/tex]
[tex] = \sf{2\sqrt{3}(2 + \sqrt{2})}[/tex]
[tex] = \sf{4\sqrt{3} + 2\sqrt{6}}[/tex]
[tex] \therefore \sf{\dfrac{4\sqrt{3}}{2 - \sqrt{2}} = 4\sqrt{3} + 2\sqrt{6}}[/tex]
−1.2x+2.5=0.8x+6.5
Solve for x
Answer:
x = -2
Step-by-step explanation:
It's a matter of rearranging the equation to make x the subject. Simple arithmetic.
Original equation:
-1.2x + 2.5 = 0.8x + 6.5
Start moving constants with variables to left, and constants without variables to right:
-1.2x - 0.8x + 2.5 = 6.5
-1.2x - 0.8x = 6.5 - 2.5
Collect like terms
-2x = 6.5 - 2.5
-2x = 4
Divide both sides by -2 to make x the subject
x = 4/-2
x = -2
Answer: x = - 2.0
Step-by-step explanation:
We can find x by making it the subject of the equation and simplifying:
−1.2x+2.5=0.8x+6.5 [group like terms across the equal sign]
-1.2x - 0.8x = 6.5 - 2.5 [simplify]
- 2.0x = 4 [divide both sides by -2.0]
x = -2.0
Check:
−1.2(-2.0)+2.5 = 0.8(-2.0)+6.5
4.9 = 4.9 ✅
8/13×2/6 in its simplest form
Answer:
[tex]\frac{9}{39}[/tex]
Step-by-step explanation:
Multiply the two denominators together and the two numerators:
[tex]\frac{8}{13} * \frac{2}{6} = \frac{8 * 2}{13 * 6}[/tex]
[tex]= \frac{16}{78}[/tex]
Divide both numbers by two to simplify:
[tex]\frac{18 / 2}{78 / 2} = \frac{9}{39}[/tex]
So the simplest form is:
[tex]\frac{9}{39}[/tex]
Hope this helps!
Please Help Me. Put the following equation of a line into slope-intercept form, simplifying all fractions.
6x+4y=4
Find the unknown value in each proportion. Round to the nearest tenth if needed.
[tex] \frac{4}{5} [/tex]
[tex] \frac{4}{3} [/tex]
[tex] \frac{3}{7} [/tex]
[tex] \frac{13}{15} [/tex]
Answer:
4/5=16/20
4/3=4/3 or 1 1/3
3/7=0.42857
13/15=0.86666
Step-by-step explanation:
i dont know
if i did that right but your welcome
need help what is this
Answer:
2nd option
Step-by-step explanation:
Substitute the values of x from the domain into f(x) for range
f(2) = 2³ + 1 = 8 + 1 = 9
f(3) = 3³ + 1 = 27 + 1 = 28
f(4) = 4³ + 1 = 64 + 1 = 65
range is {9, 28, 65 }
Answer:
hwhiwbshs bengshhwwvvw
Step-by-step explanation:
How many wholes are there in 7/3
Answer: there are 2 whole in 7/3
Step-by-step explanation: 7 divided by 3 is 2r1. 7/3 = 2 1/3
Match the situation to the most appropriate graph #7
Guys pls help me!!!!!!!
Answer:
64 degrees
Step-by-step explanation:
since x is corresponding to 64, they are congruent.
Answer:
x = 64
Step-by-step explanation:
x and 64° are corresponding angles and are congruent , then
x = 64
what quadrant is 4,6 in?
Answer:
1st quadrant
Monday's low temperature was – 19" and its high was –7
Answer:
-19 degrees fahrenheit?? and -7 degrees celcius??
Step-by-step explanation:
Which system of equations has a solutions x=0,y=1?
Answer:
y+x=1
y-x=1
Step-by-step explanation:
Well If x is 0, its pretty straight forward.
1+0=1
1-0=1
lol hope this helps
Which shows where the function is decreasing?
O A only
O Conly
O C and D
O A and C
HELPPP!!!
A circular kitchen table has a diameter of 80 inches. How much fabric is needed to cover the table top? Use 3.14 for pi.
25.5
Step-by-step explanation:
The way to do this is:
80 * 3.14 equals to roughly 25.5
Please help, I’ll mark your answer as brainliest!
Answer:
Length :
12
feet
Width :
10
feet
Explanation:
Let the length of the garden be
x
feet.
Therefore, the breadth or width of the garden is
(
x
−
2
)
feet.
So, According to the problem,
x
(
x
−
2
)
=
120
⇒
x
2
−
2
x
=
120
⇒
x
2
−
2
x
−
120
=
0
[Transposing 120 to the L.H.S]
⇒
x
2
+
10
x
−
12
x
−
120
=
0
[Breaking
−
2
x
as
10
x
−
12
x
]
⇒
x
(
x
+
10
)
−
12
(
x
+
10
)
=
0
[Taking the like terms aside]
⇒
(
x
+
10
)
(
x
−
12
)
=
0
[Completing the factorisation]
We know, When two real quantities are multiplied and the product is zero, then one of them or both of them should be zero.
So, Either
x
+
10
=
0
or
x
−
12
=
0
So,
x
=
−
10
or
12
As
x
indicates length,
x
can't be negative.
So,
x
=
12
.
So, The length of the garden is
12
feet and the width of the garden is
(
12
−
2
)
feet =
10
feet.
Step-by-step explanation:
plz mark me as a brainliest
According to the following equation, what happened to the carbon and oxygen?
they combined chemically to form a new compound
they combined physically to form a new element
they combined physically to form a new mixture
they combined chemically to form carbon and oxygen
Answer:
b
Step-by-step explanation:
A certain monthly magazine has both print and online subscribers. Print subscribers are people who pay to have the magazine physically delivered to them each month. Online subscribers are people who pay to have access to the electronic version of the magazine. The editors of the magazine want to study how online subscribers feel about the design of the electronic version, and they will gather data from a sample. Which of the following is a sample of the population of interest?
a. 50 subscribers to the magazine
b. 50 print subscribers
c. 50 online subscribers
d. 50 people who buy a copy of the magazine at a newsstand
e. 50 people who find an article in the magazine while searching online
The sample population of interest is 50 online subscribers.
Sample population of interest is said to be the total number of people one is considering for a particular study. In this question, online subscribers. This means the total people being considered for making the particular study.
to learn more, visit https://brainly.com/question/16720016
Find -3A+6B ...........
Can some one please help
Simplify 4(11-6)+2
Answer: 22
Step-by-step explanation:
11 - 6 = 5
4 x 5 = 20
20 + 2 = 22
' pls can i have brainliest? i need it for my goal'
Answer:
22
Step-by-step explanation:
Solve whats in the paranthesis: (11-6) = 5
New problem: 4(5) + 2
Then multiply: 20+2
Finally add both numbers together: 22
What is the midpoint of XY
Answer:
41.75
Step-by-step explanation:
I think my math might be wrong
Please help with full solution ;)
Answer:
None Of These
Step-by-step explanation:
Because you cannot determine what the two sides are because there are 2 missing variables.
This is a linear equation and has infinite solutions.
Another equation matching this is needed to find a specific answer.
Hope This Helps :)
Jolene is creating a model of a pyramid. The model created will need to be scaled up from the blueprint. triangle ACB, point D is on segment AC between points A and C, point E is on segment BC between points B and C If segments DE and AB are parallel, which of the following expressions will help Jolene determine the length of segment AC? AC equals CB times CD all over CE AC = AB AC equals CB times AC all over CE AC = BC
Answer:
AC equals CB times CD all over CE
The lengths of the sides of the scaled drawing can be determined from the
relation between similar triangles.
The expression that will help Jolene determine the length segment AC is the option;
[tex]\displaystyle \underline{CD= \frac{CB\cdot CD}{CE}}[/tex]Reasons:
The given parameters are;
The figure Jolene is trying to create = A scaled up blue print
Given that in ΔACB and ΔABC, we have;
DE and AB are parallel
Therefore;
∠CED ≅ ∠CBA by corresponding angles
∠CDE ≅ ∠CAB by corresponding angles
∠C ≅ ∠C by reflexive properties
ΔCDE ~ ΔACB by Angle-Angle similarity postulate
Therefore, by similar triangles, and triangle proportionality, we have;
[tex]\displaystyle \frac{AC}{CD} = \mathbf{\frac{CB}{CE}}[/tex]
Therefore;
[tex]\displaystyle CD= \mathbf{ \frac{CB\cdot CD}{CE}}[/tex]
Therefore, if segments DE and AB are parallel, the expression that will help Jolene determine the length segment AC is; [tex]\displaystyle CD= \frac{CB\cdot CD}{CE}[/tex]
Learn more about similar triangles here:
https://brainly.com/question/14445094
Please do help.Thanks :)
does anyone know how to this ?
Answer:
For the first one put 3/5 then for the other box I THINK its 15
Step-by-step explanation:
matt is planting grass in the yard. He has planted 1/8 of his seeds in 1/4 an hour. How long will it take him to plant all of his seeds.
Answer:
1/8 x 1/4=18
Step-by-step explanation:
I think it times