Answer:
Graph: Refer to attached image
Solution: (-5,-3)
Step-by-step explanation:
First graph to two equations.
Refer to the image attached to see what the equations would look like when graphed.
Wherever they intersect is the solution.
They intersect at (-5,-3) therefore (-5,-3) is the solution to the system of equations
If 21 and 35 are two members of a Pythagorean triple, what is the third member?.
The third member of the Pythagorean triple is 28 and this can be determined by using the Pythagorean theorem.
Given :
21 and 35 are two members of a Pythagorean triple.
The following steps can be used in order to determine the third member of the Pythagorean triple:
Step 1 - The Pythagorean theorem can be used in order to determine the third member of the Pythagorean triple.
[tex]H^2 = P^2+B^2[/tex]
where the hypotenuse is H, the perpendicular is P, and the base is B of the right-angle triangle.
Step 2 - Now, substitute the value of H and P in the above expression in order to determine the value of 'B'.
[tex]35^2 = 21^2+B^2[/tex]
Step 3 - Simplify the above expression.
[tex]B^2= 784[/tex]
[tex]B = 28[/tex]
So, the third member of the Pythagorean triple is 28.
For more information, refer to the link given below:
https://brainly.com/question/21149612
a coin is tossed 4 times. what is the probability of getting heads each time
answer: 1/16
If you flip a coin 4 times, the probability of getting all heads is 1/16.
Tell whether the ordered pair is a solution to the equation.
x=9;(9,6)
Answer:
yes, it is
Step-by-step explanation:
The value of x in the ordered pair (x, y) = (9, 6) is 9. That satisfies the equation ...
x = 9
Substituting 9 for x, we get a true statement:
9 = 9
Answer:
Step-by-step explanation:
Andy would like to withdraw an annual salary of $45,000 from an account paying 3. 1% compounded annually for 25 years once she retires. Given this information, determine the amount needed in her account in order for her to reach her goal. Round to the nearest cent. A. $9,386,168. 48 b. $14,516. 13 c. $798,954. 46 d. $774,931. 58.
The amount needed in her account in order for her to reach her goal. Round to the nearest cent is: d. $774,931. 58.
Using this formula
PVA=Principal [(1-rate)^time/rate]
Let plug in the formula
PVA=45000[(1-(1+0.031)^(-25))/0.031]
PVA=45000[(1-(1.031)^-25)/0.031]
PVA=45,000(1-0.4661582427091)/0.031
PVA=45000(0.533841757290/0.031)
PVA=45000(17.22070184809)
PVA=$774,931.58
Inconclusion the amount needed in her account in order for her to reach her goal. Round to the nearest cent is: d. $774,931. 58.
Learn more about compounded interest here:
https://brainly.com/question/24274034
Find (f/g)(5) for the functions
f(x) and g(x) given below.
f(x) = x2 +1 and g(x) = x - 4
=
=
(f/g)(5) = [?]
=
Answer:
11
Step-by-step explanation:
(f/g)(5)=
f(5)=(5)2+1÷g(5)=5-4
10+1/1
11/1
(f/g)=11
The required simplified value of the given function as (f/g)(5) is 26.
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,
f(x) = x² +1
f(5) = 5² + 1
f(5) = 26
g(x) = x - 4
g(5) = 5 - 4 = 1
f/g(5) = f(5) / g(5)
= 26 / 1 = 26
Thus, the required simplified value of the given expression (f/g)(5) is 26.
Learn more about simplification here:
https://brainly.com/question/12501526
#SPJ2
(5j - 2q + 2/5) - (4 - 3j - 1/2q)
Answer:
8j - [tex]\frac{3q}{2}[/tex] - [tex]\frac{18}{5}[/tex]
Step-by-step explanation:
hope this helps! :D
Melinda creates jewelry. After purchasing supplies, she had $150 left in her account. She sells five bracelets and a necklace making her new account total $235. If the necklace sold for $22. 50, which equation can be used to determine the sales price of the bracelets?.
The equation that can be used to determine the sales price of the bracelets is $22.5
Amount in her account = $150
Amount in her account after sales = $235
Change in account balance = $235 - $150
= $85
cost of necklace = $22.5
let
bracelet = x
necklace = y
The equation:
Total sales = 5x + y
85 = 5x + 22.5
85 - 22.5 = 5x
62.5 = 5x
x = 62.5/5
x = $12.5
Therefore, the cost of each bracelet is $12.5 and the cost of necklace is $22.5
Learn more about equation:
https://brainly.com/question/4916384
what is the slope of the line
Answer:
Bala Bala Bala Bala Bala
Step-by-step explanation:
what is the slope of the Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah answer is answer the question Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah
K
The solution is k
K/6+5=17
The solution is k=
k=72
Explanation:
72/6=12
12+5=17
Answer:
k = 72
Step-by-step explanation:
This is a 2-step linear equation. It is solved in the usual way.
Step 1: add the opposite of the constant that is on the side with the variable
k/6 +5 -5 = 17 -5
k/6 = 12
Step 2: multiply by the reciprocal of the coefficient of the variable.
(k/6)(6) = (12)(6)
k = 72
The difference between three times a number and seven is twenty. What is the number?
20
7
13
3
O9
O 27
Answer:
the number is 9
Step-by-step explanation:
hope this helps
Simplify the expression
x - (12 – 5x)
Answer:
6x - 12Step-by-step explanation:
Simplify the expression
x - (12 – 5x) =
x - 12 + 5x =
6x - 12
What is the contrapositive of the statement below?
If you are in Reykjavik, then you are in Iceland.
Answer:
If you are not in Iceland, then you are not in Reykjavik.
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
The contrapositive of a statement is as follows:
"Switching the hypothesis and conclusion of a conditional statement and negating both. For example, the contrapositive of "If it is raining then the grass is wet" is "If the grass is not wet then it is not raining."
So, for this one, we need to switch as well!
If you are in Reykjavik, then you are in Iceland.
If you are NOT in Iceland, then you are not in Reykjavik.
The answer would be D
Can someone help me on this plzzz show work please
Answer:
That is the answer
The answer is
PLEASE I AM IN DESPERATE NEED OF HELP
Answer:
C: H > 60
Step-by-step explanation:
H is 60 in or taller, underlined indicates that it's also 60 in, not just above it.
Jamaal ran 6 miles in 30 minutes. Which expression shows how to correctly determine his speed in miles per minute?
6 miles ÷ 30 minutes
30 minutes ÷ 6 miles
6 miles ÷ 1 minute
30 minutes ÷ 1 mile
Answer:
The second one. 30 minutes ÷ 6 miles.
Step-by-step explanation:
You want to find how long it took Jamaal to run one mile.
30 minutes ÷ 6 miles = 5 minutes.
So Jamaal can run one mile in 5 minutes.
Option B, 30mins/6miles
please help me :(
NO LINKS PLEASE
Answer:
Option A
Step-by-step explanation:
Given equation is:
[tex]x^2+1=2x-3[/tex]
Setting it up as a quadratic equation.
[tex]x^2+1-2x+3=0\\\\x^2-2x+4=0[/tex]
Comparing it with quadratic equation [tex]ax^2+bx+c=0[/tex], we get:
a = 1 , b = -2 , c = 4
Putting the values in quadratic equation:
[tex]\displaystyle x = \frac{-b +-\sqrt{b^2-4ac} }{2a} \\\\x = \frac{-(-2)+-\sqrt{(-2)^2-4(1)(4)} }{2(1)}[/tex]
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807Answer:
A
Step-by-step explanation:
a = 1, b = -2, and c =4
d = -b +- sqrt (b^2 - 4*a*b)
= - (-2) +- sqrt ((-2)^2 - 4*1*4)
pls help I don't understand
Answer:
1400
Step-by-step explanation:
two ways to do this
1, find the area of the shaded place.
2, find the area of the whole thing, subtract by the area of the corners.
this way is easier so its what ill do
whole box is 60*30=1800
3 corners are 10*10=100 15*10=150 and 15*10=150
1800-150-150-100 = 1400
or you could do it the first way
bigger box is 20*45=900
long box is 10*35=350
small box is 15*10=150
900+350+150=1400
A recipe that makes 24 cupcakes calls for 5 1/2 cups of flour. How much flour is needed to make 30 cupcakes?
A. 5 7/8 cups
B. 6 1/2 cups
C. 5 3/4 cups
D. 6 7/8 cups
Answer: D hope this helps
Easy geometry question please help
Answer:
Y-8
Step-by-step explanation:
Any point on the upper triangle ABC, for example point B, is translated 8 units down the y axis, appearing on the lower triangle A'B'C'
Simplify the complex number.
(8i) (5) (-4-6i)
Answer:
4th option
Step-by-step explanation:
noting that i² = - 1
(8i)(5i)(- 4 - 6i)
= 40i²(- 4 - 6i)
= 40(- 1)(- 4 - 6i)
= - 40(- 4 - 6i) ← distribute parenthesis by - 40
= 160 + 240i
[tex](8i)(5i)(-4-6i)\\\\=40i^2(-4-6i)\\\\=-40(-4-6i)~~~;[i^2=-1]\\\\=160+240i[/tex]
A bag holding 7 1/5 pounds of mixed nuts will be divided equally among 9 people.
How many pounds of nuts will each person get?
Answer:
4/5
Step-by-step explanation:
So sorry if im wrong <3
Answer:
Each person will get 4/5, or 0.8 pounds of nuts.
Step-by-step explanation:
First, we need to convert 7 1/5 into an improper fraction, by multiplying
7 x 5 = 35
and adding
35 + 1 = 36
Our improper fraction is 36/5
Now, we can divide
36 / 9
5 / 1
To do so, we need to switch 9/1 to its reciprocal, 1/9, and then multiply
36 x 1 = 36
5 x 9 = 45
Our answer is 36/45
We can simplify our answer by dividing by 9
36 / 9 = 4
45 / 9 = 5
Our final answer is 4/5, or 0.8 pounds of nuts
I NEED HELP PLEASE!!!!!!!!!!!!!!!
Answer:
$2580
Step-by-step explanation:
$1500 dollars increased by 9%. In 8 years how much money he will have.
Ok, he has 1500 bucks in there
percents are an amount out of 100 so 9%=9/100
which, 9/100 in decimal form is .09
1500*.09 which is 135
135 dollars every year added
in 8 years, he will have earned 1080 bucks due to interest
1500+1080 which is 2580 dollars
he will have 2580
Answer:
1,616.60
Step-by-step explanation:
we know that
The compound interest formula is equal to
A=P(1+\frac{r}{n})^{nt}A=P(1+
n
r
)
nt
where
A is the Final Investment Value
P is the Principal amount of money to be invested
r is the rate of interest in decimal
t is Number of Time Periods
n is the number of times interest is compounded per year
in this problem we have
\begin{gathered}t=5\ years\\ P=\$1,500\\ r=1.5\%=1.5/100=0.015\\n=4\end{gathered}
t=5 years
P=$1,500
r=1.5%=1.5/100=0.015
n=4
substitute in the formula above
A=1,500(1+\frac{0.015}{4})^{4*5}A=1,500(1+
4
0.015
)
4∗5
A=1,500(1.00375)^{20}A=1,500(1.00375)
20
A=\$1,616.60A=$1,616.60
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.
Line q has a slope of 5 8 . Line r is perpendicular to q. What is the slope of line r ?
Answer:
35
Step-by-step explanation:
fFjfdisgsiditsykdkhxkgdkdjfzmuraltupsfstdyf and I have been thinking of going to for airport cinema a gia couple trip in September so I can do it at night when I'm back for a couple weeks for a couple more weeks to see what I have a pet for kids ages and I get a lot more of them and a gia tha and I get a lot more than I have to do for the rest I think so much better more I the and I get have on to pank I'm getting more pointsWhat does geometric progression mean?
Step-by-step explanation:
[tex] \large\tt\underline\blue{a} \underline\pink{n} \underline\green{s} \underline\red{w}\underline \purple{e} \underline\orange{r}[/tex]
A geometric progression is a sequence in which any element after the first is obtained by multiplying the preceding element by a constant called the common ratio which is denoted by r.
can i get some help:
PLS HELP.
7) Find RQ
Answer:
are we doing ur homework
Step-by-step explanation:
Can someone please give me the (Answers) to this? ... please ...
Answer:please correct me if I’m wrong but I believe Part A for the slopes are…
1.3/1 or 3
2.-3
3.9/5
4.4/3
Step-by-step explanation:
It’s going up 3 and “running” 1 and it’s positive since the line is going up.
Y2-y1. -16-2
————= ————=-18/6=-3
X2-x1. 8-2
You’re just finding the slope
Solve for it. If further explanation is needed please tell me.
A.
1. 9/5
2. -1/5
3. ? (no question)
4. 4 or 4/1
B.
5. y = 1x + 4
6. -2x + 3
7. -1/5x + 2
8. -4x + 2
I'm not sure about 5-8 the wording of the questions are confusing.
X-2y=2 in slope intercept form
Answer:
I believe it's written y = 1/2x - 1
Hope this helps :)
M
Y
(4x - 1)
(2x +5)
Р
W
M
Step-by-step explanation:
(4x-1) × (2x+5)
3x × 7x
21x
The answer is = 21x