Answer:
[tex]x = 1.48 \: and \: y = - 1.38[/tex]
Step-by-step explanation:
[tex]first \: equation[/tex]
[tex]x - 4y = 7[/tex]
[tex]second \: equation[/tex]
[tex]5x + y = 6[/tex]
[tex]from \: equation \: 1 \\ make \: x \: the \: subject \: of \: formula \\ x = 7 + 4y[/tex]
[tex]x =7 + 4y \: {equation \: 3}[/tex]
[tex]substitutefor \: x \: in \: equation \: 2[/tex]
[tex]5x + y = 6 \\ 5(7 + 4y) + y = 6 \\ 35 + 20y + y = 6 \\ 35 + 21y = 6 \\ 21 y = 6 - 35 \\ 21y = - 29 \\ [/tex]
[tex]y = \frac{ - 29}{21} [/tex]
[tex]y = - 1.38[/tex]
[tex]subsitute \: for \: y \: into \: equation \: 3[/tex]
[tex]x = 7 + 4y \\ x = 7 + 4( - 1.38) \\ x = 7 - 5.52 \\ x = 1.48[/tex]
Solve for x. Round to the nearest tenth, if necessary.
Answer:
[tex]x = 0.2[/tex]
Step-by-step explanation:
In the question since the angle we were given was 41°, whereby x was the adjacent and 0.3 was the hypothenus. We have to use cosine to find the value of x.
[tex]recall: \: cosine = \frac{a}{h} \\ \\ a = x \: \: \: h = 0.3 \: \: \: \: angle = 41[/tex]
Therefore:
[tex] \cos(41) = \frac{x}{0.3} \\ \\ 0.75 = \frac{x}{0.3} \\ \\ 0.8(0.3) = x \\ \\ 0.24 = x[/tex]
Since we were asked to round it to the nearest tenth, then the answer would be 0.2.
Answer:
x = 0.2
Step-by-step explanation:
Given: Right angle DEF, angle E = 90°, angle D = 41°, angle DF = 0.3
To find value of x:
Solution: In angle DEF, angle E = 90°.
[tex] cos \: 41° = \frac{adjacent \: side}{hypotenuse} = \frac{DE}{DF} [/tex]
[tex]cos \: 41° \: = \frac{x}{0.3} [/tex]
x = 0.3 × cos 41° = 0.226 ≈ 0.2
Hence x = 0.2
HOPE THIS HELPS AND HAVE A NICE DAY <3
In the equation x² + 10x + 24 = (x + a)(x+b), bis
an integer. Find algebraically all possible values of
b.
Answer:
The answer is 6...Hope this might help you
A 90% confidence interval is centered at a _____ and is 90% sure to contain the _______.
a) statistic, variable
b) parameter, statistic
c) statistic, parameter
d) parameter, variable
e) variable, parameter
Answer:
See below
Step-by-step explanation:
A 90% confidence interval is centered at a parameter and is 90% sure to contain the statistic.
When you are running a statistical test, you can create a confidence interval centered at the appropriate parameter (such as the mean) to see if the statistic stated in your null hypothesis is true if it's contained in the interval. Whatever the confidence level is determines how wide the interval will be, and as such, will determine how likely the interval will catch the statistic in question.
Select the correct answer from each drop-down menu.
Three students used factoring to solve a quadratic equation.
x² + 17x + 72 = 12
Jordan's Solution Keith's Solution Randall's Solution
x² + 17x + 72 = 12 x² + 17x + 72 =12 x² +17x +72 = 12
(x + 8)(x + 9)= 12 x² + 17x +60 =0 x2 +17x = -60
x+8=12 & x+9=12 (x +5)(x +12) +0 x(x +17) = -60
x + 5 =0 & x + 12 = 0 x = -60 & x +17 = -60
The equation was solved correctly by ____. The solutions of the equation are ____
Answer:
Step-by-step explanation:
x = -5 and x = -12 are the solutions.
Looks like Keith's solution is the correct one as he got as far as
x + 5 = 0 and x + 12 = 0.
Can someone please help me?
The center of the circle will be equal to (-3,4) equation of the circle x²+y²+6x-8y+16=4
What is circle?The circle is defined as the locus of the point traces around a fixed point called as the center and is equidistant from the out trace.
The general form of the equation of the circle is:-
(x-x₁)²+(y-y₁)²=r²
here x1 and y1 are the center of the circle
Now we will convert our equation in the general form:-
x²+y²+6x-8y+16=4
x²+6xy²-8y+16-4=0
x²+3x+3x+9-9+y²-4y-4y+16-16-4=0
(x+3)²+(y-4)²-9-16+16-4=0 (x+3)²+(y-4)²=13
By comparing with the general form we can see that the coordinate of the center of the circle will be {-3,4)
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the value of the power is
Answer:
Is 4
4
Step-by-step explanation:
Answer:
See below ~
Step-by-step explanation:
Power in repeated multiplication form is : 4 x 4 x 4 x 4
Value of the power : 16 x 16 = 256
| x- ( - 18) | if x < - 18
Answer:
well x-(-18) x+18 but the if part is x<-18 will stay the same
Step-by-step explanation:
Select the correct answer. what is the simplest form of this expression? (x 7)(3x − 8) a. 3x2 2x − 15 b. 3x2 29x − 1 c. 3x2 − 29x − 56 d. 3x2 13x – 56
The means of simplifying is by factoring. The simplified form of the expression is 3x² - 29x + 56
Simplifying expressionsThe means of simplifying is by factoring
Given the expression
(x - 7) (3x-8)
Expand
(x - 7) (3x -8)
3x² -8x - 21x +56
3x² - 29x + 56
Hence the simplified form of the expression is 3x² - 29x + 56
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From her eye, which stands 1.69 meters above the ground, Sadie measures the angle
of elevation to the top of a prominent skyscraper to be 36º. If she is standing at a
horizontal distance of 275 meters from the base of the skyscraper, what is the height
of the skyscraper? Round your answer to the nearest hundredth of a meter if
necessary.
The height of the skyscraper is 201.5 meters, if the angle of elevation to the top of a prominent skyscraper to be 36º
What is trigonometry?Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.
We have:
Angle of elevation = 36 degree
Horizontal distance of 275 meters from the base of the skyscraper
From the tan ratio:
tan36 = x/275
x = 275(tan36)
x = 199.79 meters
The height of the skyscraper = 199.79+ 1.69 = 201.48 ≈ 201.5 meters
Thus, the height of the skyscraper is 201.5 meters if the angle of elevation to the top of a prominent skyscraper to be 36º
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Answer:I just got it wrong the answer is 201.49
Step-by-step explanation:
find the value of x.....
f(x)=3x+2 and g(x)=x-3. Find f(x)-g(x)
a. 4x-1
b. 2x-1
c. 2x+5
d. 2x-5
Answer:
First step is to plug in the given values :[tex] \longrightarrow \tt3x + 2 - ( x - 3)[/tex]
Remove the bracket and change the signs of those terms which are inside bracket since there is a negative sign.[tex] \longrightarrow \tt \: 3x + 2 - x + 3[/tex]
Collect like terms[tex] \longrightarrow \tt 3x - x + 2 + 3[/tex]
[tex] \longrightarrow \boxed{ \tt 2x + 5 }[/tex]
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What is the formula of g in terms of f?
A.f(x+2)
B.f(x)-2
C.f(x)+2
D.f(x-2)
Answer:
D
Step-by-step explanation:
g(x) is f(x) shifted to the right by 2 units. Therefore, g(x) can be expressed as f(x-2).
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The equation of line A and line B will be y =4 and x = 8, respectively.
What is the linear system?A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.
We know the equation of the line parallel to the x-axis.
y = c
The equation of line A will be
y = 4
We know the equation of the line parallel to the y-axis.
x = c
The equation of line B will be
x = 8
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venessa is solving a video game puzzle to open a secret door she must collect between 400 grams (g) and 500 grams (g) of gems she can only collect one type of gem
type of gem mass
Ruby 128.3
Emerald 195.2
Diamond 147.6
Which of the gems should Vanessa try to collect?
A. rubies
B. emeralds
C. diamonds
D. none of the gems will work for opening the secret door
It is known that a certain function is an inverse proportion. find the formula for this
function if it is known that the function is equal to 12 when the independent variable
is equal to 2.
er:
if the independent variable is x, dependent variable is y, then y =
Answer:
y=24/x
Step-by-step explanation:
An inverse proportion with a positive input and output always has a "fraction format"
12=24/2
12=12
y=24/1
y=24
The y-value for x=1 was higher than the y-value for x=2, that proves that it's inverse.
Numbers are written on the back of calenders that are given out to customers at a grociery store. Each month a number is drawn for a customer to win a gift card. Is it a random sample or a sample and why
Answer:
yo whats your name i think that we are from the same class
Step-by-step explanation:
Which organism will survive best in a damaged ecosystem? (science)
any organism that does not eat the damaged part of the ecosystem
one that eats a wide variety of foods
one that eats primarily one type of food
one that has two main food sources
Answer:
Step-by-step explanation:
Discussion
Think of what it would be like in your own household. If your mom has been away and the food is starting to spoil, you can't be picky. If you are not picky, you will get by until someone goes shopping.
That's the way its going to work in the ecosystem. I would pick B and hope that it the bad times won't last too long.
23 lbs of onions cost $46. How many lbs of onions can you get with $30 ?
Answer:
15 lbs of onions.
Step-by-step explanation:
23 lbs divided by $46 = 0.5 lbs per $1
0.5 lbs times $30
15 lbs
What is the equation of a line passing through points (1, 2) and (3, 8)?
A.
y = x + 5
B.
y = 1
3 x – 1
C.
y = 3x – 1
D.
y = 1
5 x – 1
E.
y = x + 1
The equation of the line passing through these two points (1, 2) and (3, 8) will be y = 3x – 1. Then the correct option is C.
What is the linear system?A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.
The points are (1, 2) and (3, 8).
Then the equation of the line passing through these two points (1, 2) and (3, 8) will be
[tex]\rm (y - 2) = \dfrac{ 8- 2}{3-1} (x - 1)[/tex]
On simplifying the equation, we have
y - 2 = 3(x – 1)
y - 2 = 3x – 3
y = 3x – 1
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Need help please answer ASAP!
(22-23)
Answer:
Question 22 is
[tex]x - 3[/tex]
Question 23 is
[tex]1.67 \times {10}^{ - 21} g[/tex]
On Friday, Beth sold 2 pitchers of lemonade from her lemonade stand. On Saturday, she sold 2 1/2 times as much lemonade as on Friday. How many pitchers of lemonade did Beth sell on Saturday
Answer:
She sold 5 pitchers of lemonade.
Step-by-step explanation:
She sold 2 on Friday and she sold 2 1/2 times that on Saturday so we have to do 2 x 2 1/2 in other words 2 x 2.5 which gives you 5.
:33333
5.369 rounded to the whole number?
Answer:
5
Step-by-step explanation:
Find the number in the whole number place
5
and look one place to the right for the rounding digit on the right side of the decimal point
3
.Round up if this number is greater than or equal to
5
and round down if it is less than
5
.
Regina graphs the relationship between temperature (in °C) degrees and elevation (in M) in 9 different cities (Shown below).
What is the meaning of point A?
Choose 1 answer:
(Choice A)
A city 6m below sea level is 5° C below zero
(Choice B)
A city 6m above sea level is 5° C below zero
(Choice C)
A city 6m below sea level is 5° C above zero
(Choice D)
A city 6m Above sea level is 5° C above zero
The meaning of point A is (d) A city 6m Above sea level is 5° C above zero
How to determine the meaning of point A?From the complete question, the point A is located as:
A = (5,6)
5 and 6 are positive numbers.
This means that A is located 6m above the sea level and 5° C above zero
Hence, the meaning of point A is (d) A city 6m Above sea level is 5° C above zero
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Answer:
ITS CHIOCE C
Step-by-step explanation:
I GOT IT WRONG ON KHAN ACADMEY BC OF THE FIRST ASNWER, AND FOUND OUT THE ACTUAL ANSWER :D
14. Which of the following is the perimeter of the right triangle shown below?
(1) 63 cm
(2) 64 cm
(3) 70 cm
(4) 74 cm
Answer:
70
Step-by-step explanation:
using the Pythagorean theorem we see that the side length is 29, meaning the perimeter is 70
What is Mean, median and mode of these numbers below?
25
25
25
25
50
50
125
125
125
375
Answer:
Mean: 95, Median: 50 Mode: 25
Step-by-step explanation:
1.Mean: add all the numbers then divide by the number of numbers there
25+25+25+25+50+50+125+125+125+375= 950
950 divided by 10 = 95
2.Median :is the number in the middle of all the numbers in this case we have 2 so we will ad those two then divide them by two
50+50=100 100/2 = 50.
3. Mode : this is the most recurring number there and in this case it's 25
Find the value of x.
Need help please answer ASAP!
Answer:
See below ~
Step-by-step explanation:
Question 18
Diameter = Difference in y-coordinatesDiameter = 12 - 2 = 10We know : Radius = Diameter/2Radius = 10/2Radius = 5 cm(1) 5 cmQuestion 19
3x² - 34x - 24 = 0(3x + 2)(x - 12) = 0Solution set = {-2/3, 12}(3) {-2/3, 12}#1
Length of diameter
√(2-2)²+(2-12)²√(-10)²10unitsLength of radius=10/2=5
#2
3x²-34x-24=0(x-12)(3x+2)=0x=12 or -2/3Solution set
{-2/3,12}can someone help me please
Answer:
A
Step-by-step explanation:
If you line up all the numbers/variables you just have to copy down all of them except for 7x and 12x, you just add those and you get 19x so the answer is A.
Select the graph that matches the equation y = 8
5
10
x + 9.
Answer:
option C
Step-by-step explanation:
y = mx + b → y = 8.5x + 9
b is the y intercept: 9
m is the slope: 8.5
to identify this on the graph, the y intercept is when x = 0
crossing the vertical bold (y) line
so which one is at 9? c is the only one at 9
In a company's first year in operation, it made an annual profit of $247,500. The
profit of the company increased at a constant 16% per year each year. How much
total profit would the company make over the course of its first 10 years of operation,
to the nearest whole number?
To calculate this sort of problem:
⇒ involves calculating the total profits over each year
⇒ with a constant increase periodically
⇒ need to use the Compound Interest Equation
[tex]A = P(1+\frac{r}{n})^{nt}[/tex]
A: total amount after t yearsP: initial amount in accountr: rate per periodn: number of times the profit increases per yeart: number of yearsLet's fill in some variables:
P: $247500r: 16% increase (in equation form, we plugin 0.16)n: 1 time per yeart: 10 yearsWhat do we want to know:
A: total amount after 10 yearsLet's solve:
[tex]A= 247500*(1+\frac{0.16}{1} )^{1*10}=\\A=247500*(1+0.16)^{10}\\A=247500*(1.16)^{10} \\A= 1,091,830.18[/tex]
To the nearest whole number
Answer: $1,091,830Hope that helps!