Answer:
x=-7/3 and y=-6
Step-by-step explanation:
6x-3(3x+1)=4
6x-9x-3=4
-3x-3=4
-3x=7
x=-7/3
y=3(-7/3)+1
y=-6
please need help I will be MARKING as BRIANILIST. thank you so much.
81 m+27 t
[tex]solution \\ 9(9m + 3t) \\ = 9 \times 9m + 9 \times 3t \\ = 81m + 27t[/tex]
hope it helps..
Good luck on your assignment...
-4( x^3 + x^2 -3 ) =
Explain how the Quotient of Powers Property was used to simplify this expression.
three to the fourth power all over nine equals three squared
By simplifying 9 to 32 to make both powers base three and adding the exponents
By simplifying 9 to 32 to make both powers base three and subtracting the exponents
By finding the quotient of the bases to be one third and simplifying the expression
By finding the quotient of the bases to be one third and cancelling common factors
Answer:
The answer is option 2, by simplifying 9 to 3² to make both powers base 3 and subtracting the exponents.
Step-by-step explanation:
You have to make the expressions into the same base :
[tex] \frac{ {3}^{4} }{9} = \frac{ {3}^{4} }{ {3}^{2} } [/tex]
Next, you have to apply Indices Law :
[tex] {a}^{m} \div {a}^{n} \: ⇒ \: {a}^{m - n} [/tex]
[tex] {3}^{4} \div {3}^{2} [/tex]
[tex] = {3}^{4 - 2} [/tex]
[tex] = {3}^{2} [/tex]
By simplifying 9 to 3² to make both the powers base 3 as well as subtracting the exponents. A further explanation of the given question is below.
According to the question,
The equation will be:
→ [tex]\frac{(3)^4}{9} = \frac{(3)^4}{(3)^2}[/tex]
By applying the Indices law i.e.,
→ [tex]\frac{a^m}{a^n} = a^{m-n}[/tex]
then, we get
→ [tex]\frac{3^4}{3^2}[/tex]
→ [tex]3^{4-2}[/tex]
By subtracting the powers, we get
→ [tex]3^2[/tex]
Thus the above answer i.e., option B) is the correct approach.
Learn more:
https://brainly.com/question/19660607
945/7 i dont know it is confused
Answer:
135
Step-by-step explanation:
We have been given the equation 945 ÷ 7. Seven goes into 9 one time. 9 minus 7 equals 2. Now drag down the four, 7 goes into 24, three times. 24 minus 21 equals 3. Drag down the five. 7 goes into 35 perfectly 5 times. Please mark me as brainliest. :)
a fireplace contains 54 bricks along its bottom row. if each row above decreases by 3 bricks, what is the function that shows the bricks on the 10th row
Step-by-step explanation:
the fireplace would have 24 bricks on the 10th row
Answer:
27 bricks
Step-by-step explanation:
y= 54- 3(x-1)
y= 57- 3x
is the function, y= number of bricks on the xth row, x= row number above the bottom one
x=10 ⇒ y= 57 - 3*10 ⇒ y= 27 bricks
Ahhhhh
Lesley has a gift card worth $500 for a local entertainment store. Movies cost $20 each and
newly released video games cost $50 each. In order to use the gift card, Lesley must purchase
at least eleven items. If Lesley wants to spend as much as possible on his gift card by
purchasing the most items, which combination of movies and newly released video games is
optimal?
A(25, 0)
B(20,2)
C(15,4)
D(10,6)
Answer:(B)
Step-by-step explanation:
so the Movie is 20$ and the games are 50$ you can buy 2 games because 50+50=100 and 500-100=400.Next,the Movie is 20$ so you can do 400/2=20 and thats your answer because youy cant use no more money in the card.
Answer:
The answer is A (25, 0)
Step-by-step explanation:.
The question mentions "purchasing the most items" which means we want as many items as possible. Usually the question would imply how much of BOTH you can get for that price, but it is being specific to amount for that price.
If a=-3/2 b=5/4 and c=7/8 prove that a(b+c) = ab +ac.
Thank you in advance
Answer:
You would figure this out by the method of substitution
Step-by-step explanation:
a= -3/2
b= 5/4
c=7/8
a(b+c) = a(b)+a(c)
Substitute
-3/2(5/4 +7/8) = -3/2(5/4)+-3/2(7/8)
-51/16 =-51/16
f(x) = -4x2 + 12x – 9
What is the value of the discriminant of f?
How many x-intercepts does the graph of f have?
Answer:
[tex]D = 0[/tex]
The graph has 1 x-intercept
Step-by-step explanation:
Given
[tex]f(x) = -4x^2 + 12x - 9[/tex]
Required
- Discriminant of f
- Number of x intercepts
Let D represent the discriminant;
D is calculated as thus
[tex]D = b^2 - 4ac[/tex]
Where a, b and c are derived from the following general format;
[tex]f(x) = ax^2 + bx +c[/tex]
By comparing [tex]f(x) = ax^2 + bx +c[/tex] with [tex]f(x) = -4x^2 + 12x - 9[/tex]
We have
[tex]f(x) = f(x)\\ax^2 = -4x^2\\bx = 12x\\c = -9[/tex]
Solving further;
[tex]a = -4\\b=12\\c=-9[/tex]
So, D can now be calculated;
[tex]D = b^2 - 4ac[/tex] becomes
[tex]D = 12^2 - 4 * -4 * -9[/tex]
[tex]D = 144 - 144[/tex]
[tex]D = 0[/tex]
Hence, the discriminant of f is 0
From the value of the discriminant, we can determine the number of x intercepts of the graph;
When D = 0, then; there exists only one x-intercept and it as calculated as thus
[tex]x = \frac{-b}{2a}[/tex]
Recall that
[tex]a = -4\\b=12\\c=-9[/tex]
So, [tex]x = \frac{-b}{2a}[/tex] becomes
[tex]x = \frac{-12}{2 * -4}[/tex]
[tex]x = \frac{-12}{-8}[/tex]
[tex]x = \frac{12}{8}[/tex]
[tex]x =1.5[/tex]
6 gallons of paint was
purchased to paint
some small rooms. If
each room needs 3/4
of a gollon, how many
room can be painted?
Answer:
1
Step-by-step explanation:
because if 1 room is a 3/4 which is almost there but not quite, and 3+3 is 6.. 3/4 + 3/4 is bigger then 6
Answer:
5 rooms can be painted
Step-by-step explanation: we can't paint six rooms because there would be no such thing a 0.2 of a room
Two trains leave the same station at the same time
and travel in opposite directions. One train travels
at 80 kilometers per hour and the other at 100
kilometers per hour. In how many hours will they
be 900 kilometers apart?
2 hours
3 hours
4 hours
5 hours
Answer:
D. 5 hoursStep-by-step explanation:
rt=d
rt+rt=900
80t+100t=900
180t=900
18t=90
2t=10
t=5
5 hours
80*5+100*5=900
Can someone please so me how I would figure out how to do this? I believe it’s subtraction. But I’m not sure
Answer:
A. 1/12.
Step-by-step explanation:
Orville and Wilbur ate 1/3 + 1/4
= 4/12 + 3/12
= 7/12 of the pizza.
So there was 1 - 7/12 = 5/12 of the pizza left.
So Ruth ate 5/12 * 1/5
= 5/60
= 1/12.
Given the speeds of each runner below, determine who runs the fastest.
Adam runs 9 feet per second.
Noah runs 164 feet in 14 seconds.
Jake runs 1 mile in 412 seconds.
Katie runs 845 feet in 1 minute.
Answer:
Katie
Step-by-step explanation:
lets convert all the speeds to ft/1 sec
V adam: 9ft/sec
V noah: 164ft/14sec
164/14=11.7142857143= around 11.7 ft/sec
V jake: 1 mile/412 sec
1 mile= 5280 ft
5280 ft/412 sec=
5280/412=12.8155339806= around 12.8 ft/sec
V katie: 845ft/min
minute=60 sec
845ft/60sec=
845/60=14.0833333333= around 14.1 ft/sec
now lets order the velocities(speeds) from least to greatest:
V adam: 9ft/sec, V noah: 11.7 ft/sec, V jake: 12.8 ft/sec, V katie: 14.1 ft/sec
thus, Katie is the fastest runner
PLEASE HURRY I DONT KNOW THE ANSWER
Answer:
20
Step-by-step explanation:
We can use similar triangles
12/3 = x/5
x = 20
Answer:
VS = 20
Step-by-step explanation:
ST/SV = RT/QV
SV = ST×QV/RT
= 12×5/3
= 60/3
= 20
(x+y)^2 (x2+2xy+y2) pleas show all work
Answer:
{x}^{4}+4{x}^{3}y+6{x}^{2}{y}^{2}+4x{y}^{3}+{y}^{4}x
4
+4x
3
y+6x
2
y
2
+4xy
3
+y
4
Step-by-step explanation:
1 Use Square of Sum: {(a+b)}^{2}={a}^{2}+2ab+{b}^{2}(a+b)
2
=a
2
+2ab+b
2
.
({x}^{2}+2xy+{y}^{2})({x}^{2}+2xy+{y}^{2})(x
2
+2xy+y
2
)(x
2
+2xy+y
2
)
2 Expand by distributing sum groups.
{x}^{2}({x}^{2}+2xy+{y}^{2})+2xy({x}^{2}+2xy+{y}^{2})+{y}^{2}({x}^{2}+2xy+{y}^{2})x
2
(x
2
+2xy+y
2
)+2xy(x
2
+2xy+y
2
)+y
2
(x
2
+2xy+y
2
)
3 Expand by distributing terms.
{x}^{4}+2{x}^{3}y+{x}^{2}{y}^{2}+2xy({x}^{2}+2xy+{y}^{2})+{y}^{2}({x}^{2}+2xy+{y}^{2})x
4
+2x
3
y+x
2
y
2
+2xy(x
2
+2xy+y
2
)+y
2
(x
2
+2xy+y
2
)
4 Expand by distributing terms.
{x}^{4}+2{x}^{3}y+{x}^{2}{y}^{2}+2{x}^{3}y+4{x}^{2}{y}^{2}+2x{y}^{3}+{y}^{2}({x}^{2}+2xy+{y}^{2})x
4
+2x
3
y+x
2
y
2
+2x
3
y+4x
2
y
2
+2xy
3
+y
2
(x
2
+2xy+y
2
)
5 Expand by distributing terms.
{x}^{4}+2{x}^{3}y+{x}^{2}{y}^{2}+2{x}^{3}y+4{x}^{2}{y}^{2}+2x{y}^{3}+{y}^{2}{x}^{2}+2{y}^{3}x+{y}^{4}x
4
+2x
3
y+x
2
y
2
+2x
3
y+4x
2
y
2
+2xy
3
+y
2
x
2
+2y
3
x+y
4
6 Collect like terms.
{x}^{4}+(2{x}^{3}y+2{x}^{3}y)+({x}^{2}{y}^{2}+4{x}^{2}{y}^{2}+{x}^{2}{y}^{2})+(2x{y}^{3}+2x{y}^{3})+{y}^{4}x
4
+(2x
3
y+2x
3
y)+(x
2
y
2
+4x
2
y
2
+x
2
y
2
)+(2xy
3
+2xy
3
)+y
4
7 Simplify.
{x}^{4}+4{x}^{3}y+6{x}^{2}{y}^{2}+4x{y}^{3}+{y}^{4}x
4
+4x
3
y+6x
2
y
2
+4xy
3
+y
4
answer: x^4+4x^3 y+6x^2 y^2+4xy^3+y^4
A transformation of ASTV results in AUTV.
т
Which transformation maps the pre-image to the image?
dilation
reflection
un
rotation
th
translation
Answer: Reflection
Step-by-step explanation:
After reflection it maps the pre-image to the image.
What is mean by Translation?A transformation that occurs when a figure is moved from one location to another location without changing its size or shape is called translation.
Given that;
A transformation of ΔSTV results in ΔUTV.
Now, We can see the image of triangles,
After reflection it maps the pre-image to the image.
Thus, The correct transformation which maps the pre-image to the image is, Reflection.
Learn more about the transformation visit:
https://brainly.com/question/30097107
#SPJ7
the cube has a side length of 0.8 meters
work out the total surface area of the cube
give your answer in square centimeters
show your working out
------------------------------------please help------------------------------------------------------------------------
Answer:
you go to the teacher and ask for help
Step-by-step explanation:
get up take paper toteacher and ask
SOMEONE PLEASE HELP ME ASAP PLEASE!!!
Answer:
140 degrees
Step-by-step explanation:
The sum of the angles on a line is 180. Since we know one of the angles is 40, you do 180-40 to figure out the other angle (DCB). The answer is 140.
Answer:
[tex]x = 140 \: \: degrees[/tex]
Step-by-step explanation:
Angels in a straight line = 180°
Let the DCB angle be x
Given that,
ACD angle = 40°
Let's solve now,
[tex]40 + x = 180 \\ x = 180 - 40 \\ x =1 40 \: \: \: degrees[/tex]
hope this helps you
brainliest appreciated
good luck! have a nice day!
What is the area of the triangle?
3
2
6
Answer:
A = 6 units^2
Step-by-step explanation:
The area of a triangle is given by
A = 1/2 bh
A = 1/2 (6)(2)
A = 6 units^2
Answer:
6 units^2
Step-by-step explanation:
The area of a triangle can be found using the following formula.
a=(bh)/2
where b is the base and h is the height. In this triangle, we know that 6 units is the base. We also know that 2 units is the height, because the height should form a right angle(little square) with the base.
b=6
h=2
Substitute these values into the formula.
a=(6*2)/2
Multiply 6 and 2 first.
a=12/2
Divide 12 by 2
a=6
Add appropriate units. Area always has the unit squared.
a= 6 units^2
The area of the triangle is 6 square units.
SS
question 6/12
A text message can have a maximum of 160 characters. If Daisy has typed 3 sentences with 45
characters each, then which equation can be solved to find the number of characters she can still
type. Let "c" equal number of Daisy characters left.
Answer:
c = 160 - 3(45)
Step-by-step explanation:
if c = the number of characters left;
160 = maximum number of characters that can be used in a text
3*45 = number of characters in sentences already used. (There are 3 sentences of 45 characters.)
(# of char left) = (max # char) - (# char already used) so:
c = 160 - 3*(45)
c = 160 - 135
c = 25
Ray has 3 gallons of maple syrup. He
fills nine 1-quart bottles with syrup and
gives them away. How many quarts of
maple syrup does Ray have left?
(1 gallon = 4 quarts)
Answer:
3 quarts
Step-by-step explanation:
The local food pantry has 1, 600 cans of fruit. They give away 155 cans of fruit each week. Assuming no new donations are made,
how many cans of fruit will remain after 6 weeks?
The solution is
Answer:
670 cans of fruit
Step-by-step explanation:
sorry if this answer is wrong
I will give the brainiest answer
Answer:
D
Step-by-step explanation:
If you draw the shape in D and assemble it you will get the answer
btw please mark brainliest
HELLO, I NEED HELP ASAP :(
Use the distributive property to write the sum as a product.
(-1)·2+(-1)·ₓ
Answer:
-1(2+x)
Step-by-step explanation:
in the initial equation the -1 was distributed, this answer creates a product (multiplication). -1(2+x)= -2-x
Answer:
(-1)·2+(-1)·ₓ = -1 (2+x)
Step-by-step explanation:
distributive property: ab +ac = a(b+c)
in this case a=-1, b =2, c =x so
(-1)·2+(-1)·ₓ = -1 (2+x)
A picture was marked at $90.00. It was sold at 3/4 of its marked price. What was the sale price?
Answer: $67.50
Step-by-step explanation:
Marked price = $90
It is sold at 3/4 of marked price
3/4 of 90
3*4 x 90 = 135/2
= 67.50 = sale price
6. The Grand Theater has 13,451 seats. If 15,340 people need to be seated in the theater for a music concert, write and solve
an equation to find the number of seats that need to be added to the theater to accommodate all the people.
Answer:
The number of seats needed is:
1889Step-by-step explanation:
To identify the number of seats you need add in the theater to accommodate all the people, you can write a simple equation where you subtract from all people need to be seated (15,340), the seats already there are (13,451), how I show below:
NS = x - yWhere:
NS = Number of seats that need to be added. x = People need to be seated in the theater. y = The seats there.Replacing the equation with the values:
NS = 15,340 - 13,451 NS = 1,889Riley and Francesca both commute to work. Riley's commute on the train
1
takes 12 minutes more than as many minutes as Francesca's commute
2
by car. It takes Riley 36 minutes to get to work. Write an equation to
determine how many minutes it takes Francesca to get to work.
36 =
X - 12
2
36 = 2x - 12
36 = 2x + 12
36 = -x + 12
1. There are 15 girls and 12 boys in Mrs. Johnson's mathclass. Express the ratio of boys to girls in simplest form.
Answer:
4 :5
Step-by-step explanation:
boys : girls
12 : 15
Divide each by 3
12/3 : 15/3
4 :5
A company is looking to fill its Board of Directors position. 3 positions will be for men, 2
positions will be for women. There are 16 candidates, 9 men and 7 women. What is the
total possible outcome?
Answer:
1764 ways
Step-by-step explanation:
Given:
Men = 9
Women = 7
Required Men: 3
Required Women: 2
'
Required
Total Possible Outcome
The total possible outcome can be determine as follows;
Total = (Selection of Men) and (Selection of Women)
Calculating Selection of Men;
Let n represent total number of men; This implies that n = 9;
Let r represent number of men to select; This implies that r = 3;
The selection can be done in the following ways;
[tex]Male = nCr[/tex]
Where [tex]nCr = \frac{n!}{r!(n-r)!}[/tex]
[tex]Male = 9C3[/tex]
[tex]Male = \frac{9!}{3!(9-3)!}[/tex]
[tex]Male = \frac{9!}{3!(6)!}[/tex]
[tex]Male = \frac{9 * 8 * 7 * 6!}{3!6!}[/tex]
[tex]Male = \frac{9 * 8 * 7}{3!}[/tex]
[tex]Male = \frac{9 * 8 * 7}{3*2*1}[/tex]
[tex]Male = 84 ways[/tex]
Calculating Selection of Women;
Let n represent total number of men; This implies that n = 7;
Let r represent number of men to select; This implies that r = 2;
The selection can be done in the following ways;
[tex]Female = nCr[/tex]
Where [tex]nCr = \frac{n!}{r!(n-r)!}[/tex]
[tex]Female = 7C2[/tex]
[tex]Female = \frac{7!}{2!(7-2)!}}[/tex]
[tex]Female = \frac{7!}{2!(5)!}[/tex]
[tex]Female = \frac{7 * 6 * 5!}{2!5!}[/tex]
[tex]Female = \frac{7 * 6}{2!}[/tex]
[tex]Female = \frac{42}{2*1}[/tex]
[tex]Female = 21 ways[/tex]
Recall that
Total = (Selection of Men) and (Selection of Women)
Hence,
[tex]Total = 84 * 21[/tex]
[tex]Total = 1764 ways[/tex]
8. Lilly paid $19.16 for a 1kg apple basket. This amount includes a tax of 3%. What was the cost of the apple before tax?
Answer:
$18.59
Step-by-step explanation:
19.16=100%
0.1916=1%
97(0.1916)
18.59
Answer:
$18.5852
Step-by-step explanation:
Select the correct answer from each drop-down menu. the profit earned by a sporting goods outlet is modeled in the graph below, where x is the number of years since the outlet opened. He recorded profit for the first ten years since the outlet opened. The domain represents the (cost per item, number of years, number of units) for which the outlet will earn a profit. The range of this function is (0,160000,80000 and 0,160000,80000). For this function, the range represents the outlets (number of years since opening,maximum profit, possible annual profits).
Answer:
The answer would be A. 1 1/5
48/40 = 1 8/40
1 8/40 Simplify to 1 1/5
V=4/3pi(r^3)
V=4/3pi(9^3)
V=3,054 inches^3
Hope this helps!!!!!!!!!
Step-by-step explanation:
from the graph attached below:
domain of graph is the value of x for which the given function profit function p(x) is defined.
(a) the domain represents the number of years for which the outlet will earn a profit.
range of profit function defines the lowest to highest value of profit earned.
(b) the range of this function is (0 , 160 ). for this function, the range represents the outlet's profit earned.
