Answer:
1) 6а-9b=3(2a-3b)
2)8a-12b=4(2a-3b)
3) 5ab-5ac=5a(b-c)
4) 6ax+6ay=6a(x+y)
{(2,-3),(3,-1),(2,3),(4,6),(6,6)}
Are the ordered pairs a function or not?
Answer:
Its a domain
Step-by-step explanation:
Domain:{2,3,4,6}
Eric and Shiloh each have a savings account. The ratio of Eric’s account balance to Shiloh’s account balance is 4:3. Together they have a total of $140 in their accounts. Use the tape diagram below to help you determine the balance of Eric’s account. [Type your answer as a number.]
Answer:
Eric 80
Step-by-step explanation:
Take 4+3 = 7
140 /7 = 20
There is 20 in each block
Eric gets 4 of the blocks so 4*20 = 80
Shiloh gets 3 of the blocks 3*20 = 60
Answer:
80
Step-by-step explanation:
4 : 3
4x + 3x = 140
7x = 140
x =20
4*20 = eric's amount
= 80
Select the expression that shows the distributive property applied to
13(2+9).
18 of 29 QUESTIONS
13(9+2)
13. 2+ 9
13. 2+ 13.9
13. 2+ 2.9
3rd option is correct
13 × 2 + 13 × 9
I could really use some help
Answer:
045
Step-by-step explanation:
North is equal to 360 or 0 degrees. East is equal to 90 degrees because that is 1/4 of 360.
Thus, northeast is 45 degrees. This image may help.
How to change the decimal 4.5 into a fraction
4.5
= 4.5/1
= 4.5/1.0
= 45/10 [Shifting the decimal to right]
= 9/2 [Reducing to the simplest form]
So, the answer is 9/2.
Which set of ordered pairs does NOT represent a function?
{(0, 0), (1, 1), (2, 2), (3, 3)}
(0, 0), (0, 1), (1, 2), (1, 3)}
{(1,0), (2, 0), (3, 0), (4, 0)}
{(0, 1), (1, 2), (2, 3), (3, 4)}
Answer: (0, 0), (0, 1), (1, 2), (1, 3) does NOT represent a function
Step-by-step explanation:
to tell whether a set of ordered pairs are functions or not, all domains must have different ranges!
range: x-axis (0,0)
domain: y-axis (0,0)
pair 1:
all the ranges - 0, 1, 2, 3 - are different, which means it IS a set of ordered pairs
pair 2:
all the ranges - 0, 0, 1, 1 - are NOT all different, which means it is NOT a set of ordered pairs
pair 3:
all the ranges - 1, 2, 3, 4 - are different, which means it IS a set of ordered pairs
pair 4:
all the ranges - 0, 1, 2, 3 - are different, which means it IS a set of ordered pairs
let me know if you have any more questions or if i made any mistakes. hope this helped, and good luck! ˶ˆ꒳ˆ˵
(5,8) and (x, 12) slope is -2, find x
PLEASE HELP ASAP
Suppose you have D12000 to save . You have to save some amount at 10% and the rest at 15% how much should be saved at each rate to yield 12% on the total amount saved
Answer:
$7200 at 10%
$4800 at 15%
Step-by-step explanation:
The lengths of the sides of a triangle are 3, 4, 5. Can the triangle be a right triangle?
Answer:
Yes it can
Step-by-step explanation:
To check wether it's a right angle triangle we need to apply the Pythagoras theorem
h^2= a^2 +b^2
Hypotenuse is always the longest side so
5^2 = 3^2 + 4^2
This is correct, so the triangle is a right angle triangle
Answer from Gauthmath
Jamie bought a new pair of jeans for $\$10$ because the price marked was $75\%$ off the original price. What was the original price of the pair of jeans?
Answer:
$40
Step-by-step explanation:
Let
Original price = x
Selling price = $10
Discount = 75%
Selling price = original price - (Discount * original price)
10 = x - 75% of x
10 = x - 0.75 * x
10 = x - 0.75x
10 = 0.25x
x = 10/0.25
x = 40
Original price = x = $40
help which one is the correct one
Answer:
B.) x^12
Step-by-step explanation:
You don't multiply the exponents when multiplying x^7 × x^5, you add them.
If we add the exponents, we get x^12.
Hope this helps!
If there is something wrong, just let me know.
Solve the system by substitution
y= 5x− 22
y= 4x− 17
Answer:
x=5, y=3
Step-by-step explanation:
Find the volume of a sphere with a diameter of 17.2 cm. Use 3.14 for it Round your answer to the nearest
tenth
Answer:
2663.0 cm³ (3 s.f.)
Step-by-step explanation:
[tex]\boxed{volume \: of \: sphere = \frac{4}{3}\pi {r}^{3} }[/tex]
Radius= diameter ÷2
Radius of sphere
= 17.2 ÷2
= 8.6 cm
Volume of sphere
[tex] = \frac{4}{3} (3.14)(8.6)^{3} [/tex]
= 2663.0 cm³ (3 s.f.)
Help Please Now!!!
Find the volume of the rectangle prism
Answer:
V =48 cm^3
Step-by-step explanation:
The volume of a prism is given by
V = l*w*h
V = 3*4*4
V =48 cm^3
V =48 cm^3
Step-by-step explanation:
The volume of a prism is given by
V = l*w*h
V = 3*4*4
V =48 cm^3
5. Find the measures of the following. Round to the nearest whole number. (2 points)
a. HT
H
b. 2T
15 cm
C. ZH
W
8 cm
T
Answer:
HT = 17 cm
<T = 58°
<H = 32°
Step-by-step explanation:
✔️Find HT:
Since it's a right triangle, we would apply the Pythagorean Theorem given as c² = a² + b²
Where,
a = HW = 15 cm
b = WT = 8 cm
c = HT
Plug in the values:
HT² = 15² + 8²
HT² = 289
HT = √289
HT = 17 cm
✔️Find <T by applying trigonometric ratio formula:
Recall: SOH CAH TOA
Reference angle (θ) = <T
HW = 15 cm = Opposite side length
WT = 8 cm = Adjacent side length
Apply CAH:
Cos θ = Adj/Hyp
Substitute
Cos T = 8/15
T = [tex] cos^{-1}(0.5333) [/tex]
T ≈ 58°
✔️Find <H:
Sun of interior angles of a triangle = 180°
Therefore,
m<H + m<T + m<W = 180°
Substitute
m<H + 58° + 90° = 180°
m<H + 148° = 180°
m<H = 180° - 148°
m<H = 32°
What the length of segment LM
Answer: LM = 23
Step-by-step explanation:
Solve the algebraic equations:
Line KN: (solve for x)
[tex]14x-3=25[/tex]
move the 3 to the other side with addition
[tex]14x=28[/tex]
divide by 14 to get x by itself
[tex]x=2[/tex]
Now that we have x we can find line KL:
[tex]9(2)+5\\18+5\\23[/tex]
So we now know that KL is 23 units. And we know that KL = LM
In the graph, what does A represent?
major axis
vertices
minor axis
foci
An ellipse is a plane curve that surrounds two focus points and has a constant sum of the two distances to the focal points at all places on the curve. In the graph, the A represents the minor axis of the ellipse.
What is the equation of ellipse if its major and minor axis and center are given?Suppose that the major axis is of the length 2a units, and that minor axis is of 2b units, and let the ellipse is centered on (h,k) with major ellipse parallel to x-axis, then the equation of that ellipse would be:
[tex]\dfrac{(x-h)^2}{a^2} + \dfrac{(y-k)^2}{b^2} =1[/tex]
Coordinates of its foci would be: (h±c, k) where c² = a² - b²
If its major axis is parallel to y-axis, then,
coordinates of its foci would be: (h, k±c) where c² = a² - b² and its equation would be:
[tex]\dfrac{(x-h)^2}{b^2} + \dfrac{(y-k)^2}{a^2} =1[/tex]
An ellipse is a plane curve that surrounds two focus points and has a constant sum of the two distances to the focal points at all places on the curve. Since an ellipse has two diameter, the major and the minor diameter. Therefore, in the graph, the A represents the minor axis of the ellipse.
Learn more about Ellipse here:
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A school is painting its logo in the shape of a triangle in the middle of its sports field. The school wants the height of the triangle to be 8 feet. The area of the logo must be at least 36 square feet. (The logo has to be seen from all the seats.) Write an inequality that describes the possible base lengths (in feet) of the triangle.
Use b for the base length of the triangular logo.
SOMEONE PLS HELP ME! THANK YOU!
Answer:
[tex]b\geq 9[/tex]
In other words, the base must be at least 9 feet long.
Step-by-step explanation:
The schools wants the height of the triangle to be eight feet, and the area of the logo to be at least 36 square feet.
Recall that the area of a triangle is given by:
[tex]\displaystyle A = \frac{1}{2}bh[/tex]
Since we want to area to be at least 36 square feet:
[tex]\displaystyle \frac{1}{2}bh \geq 36[/tex]
We are given that the height is eight feet. Substitute:
[tex]\displaystyle \frac{1}{2}(8)b\geq 36[/tex]
Simplify:
[tex]4b\geq 36[/tex]
Divide both sides by four. Hence, our inequality is:
[tex]b\geq 9[/tex]
In words, this means that the base must be at least 9 feet long.
2. Peter wants to order tickets to a production of Charles Dickens' A Christmas Carol. Each ticket
costs $30 and there is a one time service fee of $12 for the transaction. What is an expression that
would find the total cost for any number of tickets that Peter orders? Use t for the variable to
represent the number of tickets he purchased.
Answer
Answer:
There is overwhelming evidence that human activities, especially burning fossil fuels, are leading to increased levels of carbon dioxide and other greenhouse gases in the atmosphere, which in turn amplify the natural greenhouse effect, causing the temperature of the Earth's atmosphere, ocean, and land surface to ...
If you don’t know the answer please don’t respond. I actually need help :)
Answer:
I don't know the answer to this question
solve the equation 4+2|3x+4|=-4
“Absolute Value Equations and Inequalities”
the solutions are what?
please give an explanation if possible!
Answer:
Value of given expression x is -4
Step-by-step explanation:
Given equation in question;
4 + 2|3x + 4| = -4
Find:
Value of given expression
Computation:
4 + 2|3x + 4| = -4
Using BODMAS rule;
⇒ 4 + 2|3x + 4| = -4
⇒ 2|3x + 4| = - 4 - 4
⇒ 2|3x + 4| = - 8
⇒ |3x + 4| = - 8 / 2
⇒ |3x + 4| = - 4
⇒ 3x + 4 = - 8
⇒ 3x = -8 - 4
⇒ 3x = -12
⇒ x = -12 / 3
⇒ x = -4
Value of given expression x is -4
can i get some help? i tried figuring it out myself already but i must have done something wrong. please help!
First, we'll set up two equations. One for the amount of each coin and another for the value of the coins.
N will represent nickels
D will represent dimes
N + D = 30
---The problem tells us that there are 30 total coins
0.05N + 0.10D = 2.95
---Nickels are worth 5 cents and dimes are worth 10 cents, and the total value of the coins is 2.95
Now that we have our equations, we need to solve for one of the variables in the first equation. I will solve for N.
N + D = 30
N = 30 - D
Then, we take that equation and substitute our new value for N into the second equation (value) and solve for D.
0.05(30 - D) + 0.10D = 2.95
1.5 - 0.05D + 0.10D = 2.95
1.5 + 0.05D = 2.95
0.05D = 1.45
D = 29
Now that we know how many dimes there are, we can plug that value into our equation for N and solve for N.
N = 30 - D
N = 30 - 29
N = 1
Therefore, there are 29 dimes and 1 nickel.
Hope this helps!
The linear equation passing through the point (2,-5) has a slope of 2 is
Answer:
y = 2x - 9
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = 2 , then
y = 2x + c ← is the partial equation
To find c substitute (2, - 5) into the partial equation
- 5 = 4 + c ⇒ c = - 5 - 4 = - 9
y = 2x - 9 ← equation of line
Which statement about the function
true?
The graph of the function f(x) = 4(x + 3)(x - 1) is shown
below.
O The function is positive for all real values of x where
x < -1.
y
6
NA
The function is negative for all real values of x where
x <-3 and where x > 1.
O The function is positive for all real values of x where
x > 0.
O The function is negative for all real values of x where
X<-3 or x>-1.
2
-6
4
2.
4
6
х
-2
-2
4
6
The function is negative for all real values of x where x < -3 or x > -1 and the domain of the function is -∝ < x < ∝
What are domain and range?The domain of a function is the set of values that we are allowed to plug into our function. This set is the x values in a function such as f(x). The range of a function is the set of values that the function assumes. This set is the values that the function shoots out after we plug an x value in.
The range is the set of outputs of a relation or function. In other words, it's the set of possible y values. Recall that ordered pairs are of the form (x,y) so the y coordinate is listed after the x. The output is listed after the input.
Given data ,
Let the function be represented as f ( x )
Now , the value of f ( x ) is
f ( x ) = - ( x + 3 ) ( x - 1 ) be equation (1)
Now , the values of x which makes the function negative are
when x < -3
f ( x ) = - ( -ve ) ( -ve ) = -ve
when x > 1
f ( x ) = - ( +ve ) ( +ve ) = -ve
So , the domain of the function is all real numbers and -∝ < x < ∝
Hence , the function is solved
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Please Help ASAP!!!! 60 points.
Answer:
An inverse variation give a harder one next time
Step-by-step explanation:
Can someone help me with this math homework please!
Answer:
C
Step-by-step explanation:
y coordinates must be at the numerator, while x coordinates at the denominator
Sandy lives 200 m from school. One
morning she leaves for school at a
slow pace. On the way she meets a
friend and stops to talk for 10
minutes. Sandy realizes that she
forgot her homework and runs back
home to pick it up. It takes five
minutes to get home. Immediately she
heads back to school at a fast pace.
Answer:
Following are the solution to the given question:
Step-by-step explanation:
For question 1:
Calculating the speed between A and B:
[tex]Time\ (t)= 1 \ hours\\\\Distance\ (d)= 10 \ km\\\\V=\frac{d}{t}=\frac{10}{1}= 10 \ kmph[/tex]
For question 2:
Calculating the speed between B and C:
[tex]Time\ (t)= (2-1)=1 \ hours\\\\Distance\ (d)= (15-10)= 5\ km\\\\V=\frac{d}{t}=\frac{5}{1}= 5 \ kmph\\[/tex]
For question 3:
In this the speed between A and B is the double to speed between B and C.
The perimeter of a rectangle is 108cm. The ration of its length to its width is 7:2 what is the area of the rectangle in cm2?
Answer:
504 cm²
Step-by-step explanation:
Let the length and the width of the rectangle be L cm and W cm respectively.
Perimeter= 2(L +W)
2(L +W)= 108
L +W= 108 ÷2
L +W= 54
L= 54 -W -----(1)
[tex] \frac{L}{W} = \frac{7}{2} [/tex]
Cross multiply:
2L= 7W -----(2)
Substitute (1) into (2):
2(54 -W)= 7W
Expand:
108 -2W= 7W
+2W on both sides:
9W= 108
Divide both sides by 9:
W= 108 ÷9
W= 12
Substitute W= 12 into (1):
L= 54 -12
L= 42
Area of rectangle
= length ×width
= LW
= 42(12)
= 504 cm²
Please read below. Thank you.
Answer:
The equation of the circle is given by:
(x-a)^2+(y-b)^2=r^2
where:
(a,b) is the center of the circle
given that the center of our circle is (2,3) with the radius of 5, the equation will be:
(x+2)^2+(y+3)^2=5^2
expanding the above we get:
x^2+4x+4+y^2+6y+9=25
this can be simplified to be:
x^2+4x+y^2+6y=25-13
x^2+y^2+4x+6y=12
Answer:
[tex]\sf\longrightarrow \boxed{\sf x^2+y^2-4x-6y-12=0}[/tex]
Step-by-step explanation:
Here we are given the radius of circle as 5cm and the centre of the circle is (2,3) . We need to find the equation of the circle. Here we can yse the Standard equation of circle to find the equation .
Standard equation of circle :-
[tex]\sf\implies \green{ (x - h )^2+(y-k)^2 = r^2 }[/tex]
where (h,k) is the centre and r is radius .Substitute the respective values ,
[tex]\sf\longrightarrow ( x - 2 )^2 + ( y - 3)^2 = 5^2 [/tex]
Simplify the whole square ,
[tex]\sf\longrightarrow x^2 + 4 -4x + y^2+9-6y = 25[/tex]
Rearrange and add the constants ,
[tex]\sf\longrightarrow x^2 + y^2 -4x -6y +13 = 25 [/tex]
Subtract 25 on both sides ,
[tex]\sf\longrightarrow x^2 +y^2-4x-6y+13-25=0[/tex]
Simplify ,
[tex]\sf\longrightarrow \boxed{\blue{\sf x^2+y^2-4x-6y-12=0}}[/tex]
Transversal Problems with Equations (Level 1)
Jol 19, 2:01:51 PM
Given m|n, find the value of x.
+
(2x+9)°
(7x+24)
Submit Answer
Answer:
attempt tout of 2
PLEASE HELP
Answer:
-3 =x
Step-by-step explanation:
The angles are corresponding angles and corresponding angles are equal if the lines are parallel
2x+9 = 7x+24
Subtract 2x from each side
2x+9-2x = 7x+24-2x
9 = 5x+24
Subtract 24 from each side
9-24 = 5x
-15 = 5x
Divide by 5
-15/5 = 5x/5
-3 =x
