Answer:
Jenny wants to work out the area of
the trapezium.
13 m
She writes:
13 m
N
12 m
area =-
Step-by-step explanation:
What is the domain of the following function?
Answer:
third option (-3,3,5,9)
Step-by-step explanation:
domain is the starting point of the set (x coordinate )
Eli is now one quarter of his father’s age. In 5 years’ time his age will be one third of
his father’s age. How old is Eli now?
Answer:
10
Step-by-step explanation:
This is because 10×4=40
10+5=15
40+5=45
45/15=3
Answer:
Step-by-step explanation:
Let E and F represent Eli and his Father's current ages.
We are told that E = (1/4)F. ["Eli is now one quarter of his father’s age"]
But in 5 years, that will be:
(E+5) = (1/3)(F+5) ["In 5 years’ time his age will be one third of
his father’s age"]
-------------
We have two equations and two unknowns. Find a way to eliminate one of the two variables and then solve for the remaining variable.
E = (1/4)F
(E+5) = (1/3)(F+5)
It seems to me the easiest would be to use the first equation's definition of E [=(1/4)F] in the second equation:
(E+5) = (1/3)(F+5)
((1/4)F+5) = (1/3)(F+5)
(1/4)F - (1/3)F = (1/3)*5 - 5
F - (4/3)F = (4/3)*5 - 20
-(1/3)F = (20/3) - (60/3)
-(1/3)F = (-40/3)
F = (120/3)
F = 40 years
E = 10 years (based on E = (1/4)F)
====
In five years: F is 45 and E is 15, which would make Eli 1/3 of his father's age in 5 years.
Solve the following system: y = x 3 2x y = 9 (2, 5) (5, 2) (â’2, 5) (2, â’5).
The required solution of the equation is (2,5). The correct option is A. (2,5).
Given equations,[tex]y=x+3.....(1)\\2x+y=9......(2)[/tex]
How to solve a system of equations?putting the value of y from eq. 1 in eq. 2 we get,
[tex]2x+x+3=9\\3x=9-3\\3x=6\\x=2[/tex]
putting the value of x=2 in eq. 1 we get,
[tex]y=2+3\\y=5[/tex]
Hence, the required solution of the equation is (2,5).
For more details on solving the equation follow the link:
https://brainly.com/question/11897796
Mathematics 13 don’t understand
Answer:
1/6^3
Step-by-step explanation:
The applicable rules of exponents are ...
a^-b = 1/a^b
(a^b)(a^c) = a^(b+c)
__
Your expression can be simplified as follows:
[tex]\dfrac{6^{-5}}{6^{-2}}=\dfrac{1}{(6^{-2})(6^5)}=\dfrac{1}{6^{-2+5}}=\boxed{\dfrac{1}{6^3}}[/tex]
_____
Additional comment
If you think of an exponent as signifying repeated multiplication, the rules of exponents may be easier to remember. The exponent tells you how many times the base is a factor in the product.
Consider multiplication:
[tex](x\cdot x\cdot x)\cdot(x\cdot x)=x^3\cdot x^2=x^{3+2}=x^5\\\\(x\cdot x\cdot x)\cdot(x\cdot x\cdot x)=(x^3)^2=x^{3\cdot2}=x^6[/tex]
Consider division:
[tex]\dfrac{x\cdot x\cdot x}{x\cdot x}=x\quad\Longleftrightarrow\quad\dfrac{x^3}{x^2}=x^{3-2}=x^1\\\\\dfrac{x\cdot x}{x\cdot x\cdot x}=\dfrac{1}{x}\quad\Longleftrightarrow\quad\dfrac{x^2}{x^3}=x^{2-3}=x^{-1}[/tex]
This may help you see that a positive exponent in the denominator is equivalent to a negative exponent in the numerator (and vice versa).
120% of what number is
54?
Answer:
45
Step-by-step explanation:
Suppose that $2000 is loaned at a rate of 12%, compounded semiannually. Assuming that no payments are made, find the amount owed after 3 years
Do not round any intermediate computations, and round your answer to the nearest cent.
The total amount owed after three years is $2,837.04.
The formula that can be used to determine the total amount owed after 3 years is:
FV = A(1 + r/m)^nm
FV = Future value of debt A = amount borrowed R = interest rate = 12/2 = 6% m = number of compounding = 2 N = number of years = 3$2000 x (1.06)^6 = $2,837.04
To learn more about future value, please check: https://brainly.com/question/18760477
I’m desperate at this point
what is a2? ai + 1=ai +1 a0=0 ?
If a₀ = 0, and [tex]a_{i + 1} = a_i + 1[/tex], then
a₁ = a₀ + 1 = 0 + 1 ⇒ a₁ = 1
and
a₂ = a₁ + 1 = 1 + 1 ⇒ a₂ = 2
i hope it helped you :P
it was easyy!!!
How was
Figure A transformed
to become Figure A"?
A"
}
1.[
?
]
2.[
1
Dilate
Reflect
Answer:
reflect
Step-by-step explanation:
dilate means bigger or smaller than the original.
Find the EXACT distance between the two points.
(5,−4) and (3,5)
Answer:
√85
Step-by-step explanation:
The distance formula is used for this purpose.
d = √((x2 -x1)² +(y2 -y1)²)
d = √((3 -5)² +(5 -(-4))²) = √((-2)² +9²) = √(4 +81)
d = √85 . . . . the distance between the two points
I need help with this
Answer:
Slope: Greater for Function A
Y-intercept: Same for both
Step-by-step explanation:
Slope: The easier way would be to just graph where we get a slope of -6 for Function A and a slope of -4 for Function B. Making Function A to have a greater slope
Y-intercept: Easy, we know x=0 in the y-intercept. They both have (0,3) where x=0 meaning both their intercepts are equal
Hope this helps :)
Answer:
The slope is greater for function A and the y-intercepts are the same.
Step-by-step explanation:
The slope for function A :
= (3-0) / (0 - (0.5)
= 3 / -0.5
= -6.
The y-intercept occurs when x = 0 so:
So the y-intercept is at (0,3)
The slope for function B :
= (3-7) / (0 - (-1)
= -4.
The y-intercept occurs when x = 0 so:
So the y-intercept is at (0,3)
Please help me due in 2 mins!!! Use the picture below to help you answer the question!!!
A computer and printer cost a total of $930 . The cost of the computer is two times the cost of the printer. Find the cost of each item.
Answer:
Computer: $620
Printer: $310
Step-by-step explanation:
c + p = 930
c = 2p
c = cost of the computer
p = cost of the printer
replacing the second eq. in the first eq.
2p + p = 930
3p = 930
p = 930/3
p = 310
from the second eq.
c = 2p
c = 2*310
c = 620
Check
from the first eq.
620 + 310 = 930
With two of the angles fixed on ADEF, what do you notice about the shape of ADEF when compared with ABC?
Answer:
Step-by-step explanation:
u notice that the letters are different from each other
when we simplify (ab + 3c)^2 we get
Answer:
a^2b^2+6abx+9c^2
Step-by-step explanation:
(a + b)2 = a2 + 2ab + b2
(ab+3c)^2=(ab)^2+2ab*3c+(3c)^2
Hey there!
(ab + 3c)^2
= (ab + 3c)(ab + 3c)
DISTRIBUTE
= ab(ab) + ab(3c) + 3c(ab) + 3c(3c)
= a^2 b^2 + 3abc + 3abc + 9c^2
COMBINE the LIKE TERMS
= a^2 b^2 + 6abc + 9c^2
Therefore, your answer is:
a^2 b^2 + 6abc + 9c^2
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
please help if you can
Answer:
Identity property.
Step-by-step explanation:
Any number added to 0 keeps its original value, keeping its identity.
Someone help pls and explain it if you can pls
the answer is: y = 3x + 1
P/s: i can't see the picture clearly but the answer is not A or C
ok done. Thank to me :>
Pls answer these two questions
Answer:8 and 22
Step-by-step explanatio
14. Write an equation for the line parallel to the given line that contains C.
C(3,8); y = - 4x + 1
Answer:
The answer should be y= -4x + 20.
I WILL GIVE BRAINLYEST IF YOU GIVE CORRECT ANSWER Solve for x:
A.
B.
C.
D.
Answer:
C
Step-by-step explanation:
[tex]\sf -9(8-2h)[/tex]
Answer:
[tex] - 9(8 - 2h) \\ by \: distributive \: property \\ = - 9 \times 8 - ( - 9) \times ( - 2h) \\ = - 72 - 18h[/tex]
Answer:
[tex]-72+18h[/tex]
Step-by-step explanation:
[tex]-9(8-2h)[/tex]
[tex]\mathrm{Multiply}-9\:\mathrm{to\:the\:values\:in\:the\:parenthesis}[/tex]
[tex]-9(8-2h)[/tex]
[tex]-9\cdot8=-72[/tex]
[tex]-9\cdot-2=18[/tex]
[tex]=-72+18h[/tex]
The number line shows the graph of an inequality:
A number line is shown from negative 5 to positive 5 with increments of 0.5. All the whole numbers are labeled on the number line. An empty circle is shown on the seventh mark to the left of 0. The region to the left of the empty circle is shaded.
Which statement explains whether −4.5 can be a value in the shaded region? (5 points)
No, it cannot because −4.5 lies to the left of −3.5.
No, it cannot because −4.5 lies to the right of −3.5.
Yes, it can, because −4.5 lies to the right of −3.5.
Yes, it can, because −4.5 lies to the left of −3.5.
If you get the best answer I will mark you as brinitlylist
if 2 people answer
Answer:
Yes, it can, because -4.5 lies to the left of -3.5
Step-by-step explanation:
we know that
The solution of the inequality is equal to the interval------> (-∞,-3.5)
All real numbers less than -3.5
x<-3.5
Substitute in the inequality
-4.5<-3.5 ------> is true
therefore
The number -4.5 is a value in the shaded region, because lies to the left of -3.5
Abigail’s family was going on vacation. They decided to rent a jet ski. When they went to rent the jet ski, they had to pay a $40 deposit and then $35 an hour.
Which equation could be used to calculate how many hours they rented the jet ski if they ended up paying a total of $145.
A. 145 + 35x = 40
B. 35x = 145 + 40
C. 35x - 40 = 145
D. 40 + 35x = 145
Answer:
The Answer To This Question Is D.
Step-by-step explanation:
So they had to pay 40 and then 35 an hour = 40 + 35x = 145
Hope this helps! Please Mark Brainliest!
how i can answer questions
Answer:yes
Step-by-step explanation:press answerr
4. Harry is going to send some flowers to his wife. Summerfield Florist charges $1 per rose, plus
$39 for the vase. Grayson’s Flowers, in contrast, charges $3 per rose and $15 for the vase. If
Harry orders the bouquet with a certain number of roses, the cost will be the same with either
flower shop. How many roses would there be? What would the total cost be?
The number of roses purchased will be; 12 roses
The total cost of the bouquet is; $51
Let number of roses be x
For Summerfield florists;
At $1 per rose and $39 for the vase, cost is;
C = x + 39
For grayson's flowers;
At $3 per rose and $15 for the vase,total cost is;
C = 3x + 15
We are told when he orders a certain number of roses, the cost will be the same with each flower shop.
Thus;
x + 39 = 3x + 15
3x - x = 39 - 15
2x = 24
x = 24/2
x = 12
Total cost is;
C = 12 + 39
C = $51
Read more about cost functions at; https://brainly.com/question/19300938
Ayo. Bestie. Had enough yet?
Answer:
the answer is e
Step-by-step explanation:
Complete the given ordered pairs for the equation.
y = 2x + 1
(5, )
(0, )
(-2, )
Answer:
(5,11)
(0,1)
(-2,-3)
Step-by-step explanation:
y=2(5)+1
y=10+1
y=11
so... (5,11)
y=2(0)+1
y=0+1
y=1
so... (0,1)
y=2(-2)+1
y=-4+1
y=-3
so... (-2,-3)
Solve 7 ax + 8 ax = 9 ax + 6 for x. Assume a + 0.
Karen's mother gets a restaurant bill for $25 she has a coupon for 15% off after the discount is applied she adds 20% as a tip what is the total after the discount and tax
Answer:
$25.50
Step-by-step explanation:
with a 15% off coupon she is paying 85% of the $25 bill, which is:
.85 x 25 = 21.25
if she adds a 20% tip on 21.25 then we can do the following:
1.2 x 21.25 to get the total after the discount and with tax:
$25.50
Which equation shows the correct factors for the quadratic equation 24x2 - 15 = 54x?
3x (8x + 5) = 54x
3 (2x + 5) (4x - 1) = 0
3 (8x2 - 5) = 54x
3(2x - 5) (4x + 1) = 0
3(2x - 5)(4x - 3) = 0
Answer:24x^2_54x_15=0
(12X +3 ) ( 2X _5 ) . = O
12x +3 =0
X= - 1/4
or
2x _ 5=0
X = 5/ 2