Step-by-step explanation:
First, let y coeffecinet be 1, since y coefficient is -4 we divide both sides by -4
[tex] - \frac{3}{4} x + y = - 2[/tex]
Add 3/4 to both sides
[tex]y = \frac{3}{4} x - 2[/tex]
jordan drank 36 ounces of water today , how many cups of water did he drink ?
a. 4.5 cups
b. 9 cups
c. 18 cups
d. 288 cups
answer asapppp 2 .
Answer:
jordan drinks 4.5 cup of water
ninety-eight thousand ,five (how to write in numerical)?
Answer:
98005
Step-by-step explanation:
ninety-eight thousand = 98000
five = 5
together = 98005
15) A small rectangular block of land has a perimeter of 100 m and an area of 225 m². Find the dimensions of the block of land.
Answer:
45 and 5 are the dimensions of the block of land.
Step-by-step explanation:
2(x + y) = 100, x + y = 100/2, y = (50 - x)
xy = 225
x (50 — x) = 225
0 = x^2 — 50x + 225
0 = (x — 45) (x -5)
45 and 5 are the roots of the above polynomial, thus they are the sides or dimensions of the block of land.
please, solve for x!
Answer:
15
Step-by-step explanation:
x*x = 9*9 + 12*12
--> x = 15
Given the function, f(x)= Vx+1-6, choose the correct transformation.
o left 1, down 6
o left 1, up 6
O right 1, down 6
O right 1, up 6
create a improper fraction with the number 10 as the denominator
Answer:
Decimal Fraction Percentage
0.101 101/1000 10.1%
0.1 100/1000 10%
0.1013 101/997 10.13%
0.1012 101/998 10.12%
Step-by-step explanation:
Which statement is true about the climbers’ heights?
What is the value of a in the equation 3 a plus b equals 54, when b equals 9?
15
18
21
27
Brent needs to paint a logo made using two right triangles. The dimensions of the logo are shown below. What is the difference between the area of the large triangle and the area of the small triangle?
Two right triangles are attached along their longest side. The smaller triangle has height 6 cm and base 2 cm. The height of the larger triangle is 9 cm and its base is 5 cm.
4.5 cm2
8.5 cm2
16.5 cm2
33.0 cm2
9514 1404 393
Answer:
(c) 16.5 cm^2
Step-by-step explanation:
The area of each triangle is given by the formula ...
A = 1/2bh
Smaller triangle area = (1/2)(2 cm)(6 cm) = 6 cm^2
Larger triangle area = (1/2)(5 cm)(9 cm) = 22.5 cm^2
The difference in area is ...
22.5 cm^2 -6 cm^2 = 16.5 cm^2
Suppose you invest $800 into an annuity account that pays 7% annual interest, compounded continuously. How much will you have in the account in 10 years? F(t) = ae^rt
Answer:
1611.00
Step-by-step explanation:
You have $1611.00 in the account in 10 years. The correct option is B.
What is continuous compound interest?Interest that compounded continuously to the principal amount. This interest rate provides exponential growth to a period of time.
Formula of continuous compound interest rate;
F(t) = a(e[tex])^{rt}[/tex]
, where a is the principal amount, r is the interest rate and t is the time period.
Given:
You invest $800 into an annuity account that pays 7% annual interest, compounded continuously.
And the formula is given by:
F(t) = a(e[tex])^{rt}[/tex]
According to the question,
Investment a = $800
Time period = 10 years.
And the interest rate r = 7%
Converting interest rate into decimals,
r = 0.07
Substituting all the values top the formula,
F(t) = a(e[tex])^{rt}[/tex]
F(t) = (800)(e[tex])^{(0.07)(10)}[/tex]
F(t) = (800)(e[tex])^{(0.7)}[/tex]
F(t) = 1611
F(t) = $1611.00
Therefore, you have $1611.00 in account.
To learn more about the continuous compound interest;
https://brainly.com/question/18722165
#SPJ2
Help me pls!!!!!!!!!!!
Answer:
.01 times
Step-by-step explanation:
Which of these is equal to .0625 ??
a. 4 ^ -15
b. 1 / 4^15
c. 16 ^ -2
d. (4 ^ -1) ^ 2
Help please!! I redid my assignment 3 times, and I still didn't get it correct! (The question was to find the 7 ones that equal .0625 , and those are all the ones that I thought didn't equal that)
help me out with this!
Answer:
k = 70
Step-by-step explanation:
Since we have been given the value of x to be -ve5 (-5),
we multiply 6 and -5( value of x). Which gives;
-30.
Then add the answer (-30) to 100.
-
K = -30 + 100
= 100 - 30
=70
Note;
(+ * + = +)
( + * - = -)
(- * - = +)
I hope this helps you.
Answer:
[tex]k=70[/tex]
Step-by-step explanation:
[tex]k=6x+100[/tex]
[tex]x=-5[/tex]
[tex]k=6(-5)+100[/tex]
Remove parentheses:- [tex]\left(-a\right)=-a[/tex]
[tex]k=-6\times 5+100[/tex]
Multiply [tex]6\times5= 30[/tex]
[tex]k=-30+100[/tex]
Add [tex]-30+100=70[/tex]
[tex]k=70[/tex]
OAmalOHopeO
Is 0.8 equivalent to a. 8/12, b. 5/8, c. 2/3, d. 7/50, e. 4/5, f. 5/3, g. 19/25, h. 1/3, i. 2/9, j. 1/33, k. 4/9
Answer:
g. 19/25
Step-by-step explanation:
19/25 = .76, or approximately .8 -- none of the other options come as close as option g.
11. Find the solutions of x^2-x-30 = 0.
Please give a walkthrough/step by step I am trying to learn how to do it!
To find the solutions of quadratic equation, there are two ways to do which are:
FactorizeQuadratic FormulaStep 1
- Factor the expression.
To factor the expression, refer below:
[tex] \displaystyle \large{ (x - a)(x - b) = {x}^{2} - bx - ax + ab}[/tex]
For bx and ax, both can be common-factored. Therefore
[tex] \displaystyle \large{ (x - a)(x - b) = {x}^{2} - (b + a)x + ab}[/tex]
From the above, we conclude that:
The middle term is b+aThe last term is a×bThus, we have to find two numbers that satisfy a+b and a×bFrom the expression, 30 comes from 5×6 and when 5-6 = -1. Therefore, a can be 5 and b can be 6.
[tex] \displaystyle \large{{x}^{2} - x - 30 = (x + 5)(x - 6)}[/tex]
Because in the middle term, it is -x which is negative, we have to let the highest number become negative.
From the factored expression:
The middle term = 5x + (-6x) = -xThe last term = 5 × (-6) = -30Then we replace the standard equation with factored form.
[tex] \displaystyle \large{ (x + 5)(x - 6) = 0}[/tex]
For this part, we solve like a linear equation where we isolate x. Just think you are solving two linear equations!
Hence
[tex] \displaystyle \large{ x = - 5, 6}[/tex]
Therefore, the solutions are x = -5, 6.
Expanded form for 4082 × 1/10=
Answer:
4000+0+80+2×0.1
Step-by-step explanation:
after expanding, /means division so you diving
The difference of two numbers is 16, and their sum is 20. What are the two numbers?
Answer:
18 and 2
Step-by-step explanation:
18-2=16
18+2=20
Hi ;-)
[tex]\{x-y=16\\+\{x+y=20\\--------\\2x = 36 \ \ /:2\\\boxed{x=18}\\18+y=20 \ \ /-18\\\boxed{y=2}[/tex]
These numbers are 18 and 2.
PLASEEEEEEEEEEEE HLEPPPPPPPPPPPPP
Answer:
1. the smiley face, the top right corner.
2. top left corner again
3. rotation i think...
4. e looks like the answer not sure.
Step-by-step explanation:
ez... maybe
Answer:
1st page-1
2nd page-b on the second line
3rd-b
4th-a
5th-c
Step-by-step explanation:
Write the nth term of the following sequence in terms of the first term of the sequence. PLEASE HELP DUE IN 6 DAYS!!!!!!!
a, a + 4, a +8,...
Answer:
a + 4(n-1)
Step-by-step explanation:
The first term is a+4, the second term is a+8, the third term is a+12, etc.
A common theme that we can notice is that we add 4 for each term. For example, the second term (t₂) equals t₁+4, the third term equals t₂+4 (as a+4+4 = a+8), and so on. Another way of writing this is that we multiply 4 by (term number - 1) and add that to a. We can write this as
4 * (n-1) + a
3. A clock is constructed using a regular polygon with 60 sides. The
polygon rotates every minute. How much has the polygon rotated
after 12 minutes? Explain your answer with words, a drawing or both-
We are required to find how much the polygon has rotated after 12 minutes
The number of times the polygon has rotated after 12 minutes is 72°
Number of sides of the polygon = 60
The polygon rotates every minute, that is
1 rotation = 1 minutes
12 rotation = 12 minutes
one rotation of the clock is 360°
Number of times the polygon has rotated after 12 minutes = one rotation of the clock / Number of sides of the polygon × number of minutes
= 360°/60 × 12
= 6 × 12
= 72°
Learn more about polygons and clock:
https://brainly.in/question/5841490
Cecelia receives two credit card offers in the mail. Each has a 0% introductory APR. After the introductory period, the first card has an APR of 19.99% and the second card has an APR of 24.99%. If each card has a late fee of $35 and an annual membership fee of $25, which card should she choose and why?
Answer:
1. We are told they have similar APR (starting) and Annual fee of 25 and similar late fee of 35
Then we must consider the APR after the initial value 19.999% < 24.99%Hence she should price the first card with a 19.99% APR
(2x³)⁴= ? What is the right answer, with full explanation please:
A. 16x⁷
B. 16x¹²
C. 8x⁷
D. 8x¹²
The required simplified value of the given expression is 16x¹². Option B is correct.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
=(2x³)⁴
As we know that,
[xᵃ]ᵇ = xᵃˣᵇ
So,
(2x³)⁴ = 2⁴x³ˣ⁴
= 16x¹²
Thus, the required simplified value of the given expression is 16x¹².
Learn more about simplification here:
https://brainly.com/question/12501526
#SPJ2
The midpoint of a segment can be found using the formulas for a directed line segment, x = (x2 – x1) + x1 and y = (y2 – y1) + y1. When using these formulas to find a midpoint, which is true?
The midpoint of a segment can be found using the formula as follows:
mid point = (x₁ + x₂ / 2 , y₁ + y₂ / 2)
How to find the mid point of a segment?The midpoint is the middle point of a line segment.
In other words, the midpoint of a segment is the point on that line segment that divides the segment into two congruent segments.
The mid point of a segment can be represented mathematically as follows:
Hence,
mid point = (x₁ + x₂ / 2 , y₁ + y₂ / 2)
learn more on midpoint here:https://brainly.com/question/17192794
#SPJ1
Consider the points below. P(â1, 4, 1), Q(0, 6, 2), R(4, 3, â1)
a. Find a nonzero vector orthogonal to the plane through the points P, Q, and R.
b. Find the area of the triangle PQR.
Answer:
B. Find the area of the triangle PQR.
Find a quadratic function that includes the set of values below.
(0,7), (2,17), (3,16)
The equation of the parabola is
Answer:
f(x) = -3x^2 + 10x + 3
Step-by-step explanation:
(0,3) (2,11)(3,6)
Using the form ax^2 + bx + c = y
From the first set we know that c = 3
Write an equation for the last two sets
x=2; y=11
a(2^2) + b(2) + 3 = 11
4a + 2b = 11 - 3
4a + 2b = 8
simplify divide by 2
2a + b = 4
and
x=3, y=6
9a + 3b + 3 = 6
9a + 3b = 6 - 3
9a + 3b = 3
simplify divide by 3
3a + b = 1
:
Use elimination to find a
3a + b = 1
2a + b = 4
--------------subtracting eliminate b
a = -3
Find b using the equation 2a + b = 4
2(-3) + b = 4
b = 4 + 6
b = 10
:
The equation: f(x) = -3x^2 + 10x + 3
PLZ HELP ASAP I NEED PLZZZ!!!!!!
Fill in the blank with the correct response. The slope of the graph of y = -2/3x is __.
Answer:
Solution given:
Equation of line is:
y=-⅔x
comparing above equation with
y=mx+c
we get
m=-⅔
So
slope is -⅔Answer:
slope is -2/3
Step-by-step explanation:
I. It's linear equation
y = mx + b
when y is output, x is input, m is slope and b is addition.
The statment above is y = -2/3x + 0
So -2/3 is slope or m.value
Hope that help :D
You and your family are planning a vacation of a lifetime around the world that will cost $25,000. You borrowed this amount from your bank with an annual interest rate of 10.5%. You decided to pay it back in 5 years. What is the interest that will accrue on this loan?
$3,125.00
$131,250
$13,125.00
$312.50
Answer:
$13,125
Step-by-step explanation:
The value of the interest that will accrue on this loan will be;
⇒ $13,125
What is Simple interest?A quick and easy method of calculating the interest charge on a loan is called a Simple interest.
Given that;
You and your family are planning a vacation of a lifetime around the world that will cost $25,000.
And, You borrowed this amount from your bank with an annual interest rate of 10.5%.
Now,
Since, You borrowed this amount from your bank with an annual interest rate of 10.5%.
Hence, The total interest amount after five years is,
⇒ 5 × (10.5% of $25,000)
⇒ 5 × (10.5/100 × 25,000)
⇒ 5 × 2,625
⇒ $13,125
Thus, The total interest amount after five years = $13,125
Learn more about the simple interest visit:
https://brainly.com/question/25793394
#SPJ2
Can someone help me please :00
Answer:
according to the dark spots which shows where each number goes to, it would be D.-2
If point (-3,1) is in the function p(x), which of the following points will be in the function p-|(2)?
PLZ HELP I NEED IT
Answer:
C
Step-by-step explanation:
for p- prime you just swipe your co-ordinates ...n when swiping them don't change your sign
The point that will be in the function p⁻¹(x) is (1,-3), the correct option is C.
What is a Function?A function is a law that relates a dependent and an independent variable.
The function p(x) has point (-3, 1 )
An inverse of the function is obtained by interchanging the value of y and x, then solving the equation for y in terms of x
The point that will be in the inverse function of (x,y) is (y,x)
(-3,1) -----> ( 1,-3)
To know more about Function
https://brainly.com/question/12431044
#SPJ5
16 + (17+8)=( 16+ ) +8
65
Step-by-step explanation:
lim x ->0 ln(1+5x)/2x
answer
−>0(1+5)/2
hope it helps