Answer:
x=4
y=2
Step-by-step explanation:
x+8y=20
4x−y=14
To solve a pair of equations using substitution, first solve one of the equations for one of the variables. Then substitute the result for that variable in the other equation.
x+8y=20,4x−y=14
Choose one of the equations and solve it for x by isolating x on the left hand side of the equal sign.
x+8y=20
Subtract 8y from both sides of the equation.
x=−8y+20
Substitute −8y+20 for x in the other equation, 4x−y=14.
4(−8y+20)−y=14
Multiply 4 times −8y+20.
−32y+80−y=14
Add −32y to −y.
−33y+80=14
Subtract 80 from both sides of the equation.
−33y=−66
Divide both sides by −33.
y=2
Substitute 2 for y in x=−8y+20. Because the resulting equation contains only one variable, you can solve for x directly.
x=−8×2+20
Multiply −8 times 2.
x=−16+20
Add 20 to −16.
x=4
The system is now solved.
x=4,y=2
PROBLEM: The parent function f(x) = √x is compressed vertically by a factor of 1/4, translated left 1 and up 2 units. Write the square root function g(x)
(PLEASE SHOW WORK)
(IF YOU TROLL I WILL REPORT)
Translation
1 units left
y=√x+1Compression of 1/4
y=1/4√x+1Up 2 units.
y=1/4√x+1 +2please help i will mark branliest
Answer:
b
Step-by-step explanation:
sorry if im wrong
plsss help asap no wrong answers pls
Answer:
15
Step-by-step explanation:
15 x 15 = 225
Can someone plz help me on this the answers are at the bottom plz
Answer:
Step-by-step explanation:
What temperature do the thermometer show
Answer:
-12°F
Step-by-step explanation:
Answer:
-12
it should be this
Jonah took out a four year loan for $22,000 to help pay for college. He has to pay 5% simple interest on the loan. How much will he have to pay back at the end of the four years?
Answer:
26,400
Step-by-step explanation:
1) Find 5% of 22,000 by multiplying 22,000 by .05. You should get 1100.
2) Multiply that by 4. (4400)
3) Now add that to the original.
In ΔFGH, the measure of ∠H=90°, the measure of ∠F=36°, and HF = 5.3 feet. Find the length of FG to the nearest tenth of a foot.
Answer: 6.6
Step-by-step explanation:
Answer:
6.6
Step-by-step explanation:
Pleasee helpp Using the graph, write the equation of the line in fully simplified slope-intercept form.
Answer:
I think it is y=5x+(-3)
Step-by-step explanation:
1) find slope (it's up 5 over 1) simply 5
2) Find y-intercept. point on the y-axis. in this case, it's -3
A contest gives out prizes for first, second, and third place. First place is $500 more than double third place. Second place is $400 less than first place. All together, $1850 is given out in prizes. How much is each prize worth?
9514 1404 393
Answer:
$1000$600$250Step-by-step explanation:
Let t represent the third-place prize value. Then the first place prize has a value of 2t+500, and the second-place prize is 2t+100. The total value of the three prizes is ...
t +(2t+500) +(2t+100) = 1850
5t +600 = 1850
5t = 1250
t = 250 . . . . . . . . . . . third place prize
2t +500 = 1000 . . . . first place prize
1000 -400 = 600 . . .second place prize
The prizes for 1st, 2nd, and 3rd places are $1000, $600, and $250, respectively.
What’s an equivalent fraction to 5/6 that has a denominator of 12
Answer:
An equivalant faction would be 10/12
Step-by-step explanation:
Answer:
10/12
Step-by-step explanation:
12/6 = 2
5/6 * 2/2 = 10/12
Answer: 10/12
???????? Help pls???????
Answer:
The answer is below
Step-by-step explanation:
A linear function graph can be represented by:
y = mx + b; where m is the slope and b is the y intercept, x is the independent variable and y is the dependent variable.
a) From the graph we can see the graph passes through the point (0, 100) and (20, 400). Hence we can use the following formula to find the equation:
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-100=\frac{400-100}{20-0}(x-0)\\\\y-100=15x\\\\y=15x + 100[/tex]
b) An example of real life linear function is the energy consumed per day in kWh. Let us assume 5 kWh is consumed each day by the person. Since the independent variable is the days, it would be on the x axis, while the dependent variable (energy consumed) would be on the y axis.
Chloe purchased a sweater that cost $24 and a shirt cost 5-8 times as much as the sweater what amount of change did she receive from clerk $50
Answer:
The answer is "$11".
Step-by-step explanation:
Chloe bought a pull, which costs [tex]\$24[/tex], and a shirt which costs [tex]\frac{5}{8}[/tex] times as much as the pullout.
Sweater cost = [tex]\$24[/tex]
Shirt cost [tex]= \frac{5}{8} \times 24=15[/tex]
Therefore, total shirt and sweater costs[tex]= 24+15=39[/tex].
Then she gave [tex]\$ 50[/tex] to her officer.
Thus, she got changes [tex]= 50-39=11[/tex]
therefore, Chloe received a change of 11 dollars if she gave her employer [tex]\$50[/tex].
Help fam I have no braincells left
Find the length of the third side. If necessary, write in simplest radical form. 9 6 Answer: Submit Answer
Answer:
[tex] \sqrt{81 - 36} \\ = \sqrt{45 } \\ = 3 \sqrt{5 } \\ = 6.71[/tex]
The length of the third side of the triangle will be 6.71 units.
What is a Pythagoras theorem?The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.
The Pythagoras theorem formula is given as
H² = P² + B²
The length of the third side of the triangle will be
Let x be the length of the third side of the triangle. Then we have
9² = 6² + x²
81 = 36 + x²
x² = 45
x = 6.708
x ≅ 6.71 units
More about the Pythagoras theorem link is given below.
https://brainly.com/question/343682
#SPJ2
pls help me 10 points
Answer:
y = -2/3x + 1
Step-by-step explanation:
( -3, 3) and (0,1)
m=(y2-y1)/(x2-x1)
m=( 1 - 3)/(0+3)
m = (-2)/3
m = -2/3
y - y1 = m(x - x1)
y - 3 = -2/3(x + 3)
y - 3 = -2/3x - 2
y = -2/3x + 1
Answer:
y = -2/3x + 1
Step-by-step explanation:
(-3,3) and (0,1)
slope= y2-y1/x2-x1
1-3 / 0+3
-2/3
y = mx + b
y = -2/3x + b
1 = 0 + b
b = 1
y = -2/3x + 1
hope this helps :)))
What is the median of 90,97,85,72
Answer:
88
Step-by-step explanation:
the median is 88
the mean is 87.5
Cake has a circumference of 20.41 inches what is the area of the cake used 3.14 approximate round to the nearest 10th
Answer:
33.2 inches²
Step-by-step explanation:
Steps to derive the answer
we are going to first determine the radius from the circumference we would calculate the areaCircumference of a circle = 2nr
n = 3.14
r = radius
20.41 = 2x 3.14 x r
Divide both sides by (2 x 3.14)
r = 3.25 inches
Area of a circle = nr²
3.14 x 3.25² = 33.2 inches²
Here are questions 2 and 3 izzy2332
Answer:
question 2 is B. 3 units down
question 3 is B. 4 units down
Step-by-step explanation:
graphed it again luv <3
HELP I MARK BRAINIEST AND NAME MY KID AFTER PLS HELP ME
Answer:
1 or 2 I think hope this helps but I think it's 1!
what is the measure of the complement of a 67 degree angle?
Answer:
23°
Step-by-step explanation:
Complement angles are two angles that add up to 90°.
Since we’re given that one of them is 67°, the other one must add up to 90°
90 - 67 = 23
The other angle is 23°
Answer:
the complement of 67° is the angle that when added to 67° forms when a right angle (90°)
A right triangle is shown. An altitude is drawn to form a right angle with the opposite side and split the side into lengths of 3 and 3. What is the value of x? One-third StartRoot 2 EndRoot units One-half StartRoot 3 EndRoot units 2 StartRoot 3 EndRoot units 3 StartRoot 2 EndRoot units
Answer:
3√2
Step-by-step explanation:
Find the diagram attached
Sine the base of the triangle are divided equally the opposite angle to the sides will be 45 degrees
Considering one of the right angles triangle;
Hypotenuse = x
Opposite = 3
Angle theta = 45 degrees
According to SOH CAH TOA
sin theta = opp/hyp
sin 45 = 3/x
x = 3/sin45
x = 3/(1/√2)
x = 3 * √2
x = 3√2
Hence the value of x is 3√2
Answer:
d or 4
Step-by-step explanation:
got it right correct me if im wrong, please
Write a polynomial function f of least degree that has rational coefficients, a leading coefficient of 1, and the zeros 4 and 3−i.
Answer:
[tex]P(x) = x^3 - 10x^2+ 34x-40[/tex]
Step-by-step explanation:
Given
[tex]p =1[/tex] -- Leading coefficient
[tex]Zeros: 4\ and\ 3 - i[/tex]
Required
Determine the polynomial
Represent the zeros with a and b
Such that
[tex]a = 4[/tex]
[tex]b = 3 - i[/tex]
The polynomial is:
[tex]P(x) = p * (x - a) * (x - b)[/tex]
[tex]P(x) = 1 * (x - 4) * (x - (3 - i))[/tex]
However, to solve further: We need to symmetrise over 3-i and its conjugate
[tex]P(x) = 1 * (x - 4) * (x - (3 - i))* (x - (3 + i))[/tex]
[tex]P(x) = (x - 4) * (x - (3 - i))* (x - (3 + i))\\\\[/tex]
To define a suitable function, the expression becomes
[tex]P(x) = (x - 4) * ((x - 3)^2+1)[/tex]
[tex]P(x) = (x - 4) * ((x - 3)(x - 3)+1)[/tex]
[tex]P(x) = (x - 4) * (x^2 - 6x + 9+1)[/tex]
[tex]P(x) = (x - 4) * (x^2 - 6x +10)[/tex]
Open bracket
[tex]P(x) = x^3 - 6x^2 +10x - 4x^2 + 24x-40[/tex]
[tex]P(x) = x^3 - 6x^2 - 4x^2+10x + 24x-40[/tex]
[tex]P(x) = x^3 - 10x^2+ 34x-40[/tex]
pls find both roots
[tex]t = \sqrt{\frac{8t + 24}{16} }[/tex]
The height of the pyramid in the diagram is three times the radius of the cone. The base area of the pyramid is the same as the base area of the
cone. What is the expression for the volume of the pyramid in terms of the radius r of the cone?
Answer:
jhhfhgk
Step-by-step explanation:
Answer:
Hey, the correct nswer is option A
Step-by-step explanation:
A. V = [tex]\pi[/tex]r3
Write an equation in point-slope form that describes the line with a slope of -3 that contains the point (1,2)
Answer:
y - 2 = -3(x - 1)Step-by-step explanation:
The point-slope form of equation of function passing the point (x₀,y₀) where m is the slope is: y - y₀ = m(x - x₀)
m = -3
(1, 2) ⇒ x₀ = 1, y₀ = 2
y - 2 = -3(x - 1)
please help asap!! it’s due in about 20 minutes
Answer:
GH = 20
Step-by-step explanation:
Here, we want to get the numerical length of GH
from what we have, G is on FH
What this could mean is that;
FG + GH = FH
x + 5x = 4x + 8
6x = 4x + 8
6x-4x = 8
2x = 8
x = 8/2
x =4
Recall;
GH = 5x
GH = 5(4)
GH = 20
What is x-intercept of y=-3x+5
Answer:
To find x intercept, u graph it
the x intercept is 1.67
Step-by-step explanation:
Solve 2p + 2 = 12
This is 7th grade hon math
Answer:
Okay, subtract 2 from 12 and you get ten divided by 2 is 5 so five is the answer
Step-by-step explanation:
Answer:
work it backwards.
12-2= 10
10 ÷2 = 5
so, 2 x 5 plus 2= 12
p= 5
What is the area of polygon ABCDE?
Need answers ASAP!
Will give brainliest if possible!!
Answer:
66 cm
Step-by-step explanation:
You can find the area of the rectangle by simply multiplying the sides that are complete and don't touch the triangle. That is equal to 60 cm.
To find the area of the triangle, you first have to find the sides. You can find the first side by subtract the top side of the rectangle from the bottom, which gets us 3 (12-9). Then subtract the left side (5) from the right side (9) (9-5), which gets us 4. That would mean that 3*4*1/2 is equal to 6. 6+60 is equal to 66 cm.
Hope that this helps!
this is due today !! help pls
Answer:
13
Step-by-step explanation:
Answer:
you are going to do angles sum on 180 so what you are to do is 5+12+B+c=180