Answer:
See Explanation
Step-by-step explanation:
1.
Given
[tex]y = 6x - 11[/tex]
[tex]-2x - 3y = -7[/tex]
Solve for x and y
In the first equation, we have: [tex]y = 6x - 11[/tex]
Substitute [tex]6x - 11[/tex] for [tex]y[/tex] in the second
[tex]-2x - 3y = -7[/tex]
[tex]-2x - 3(6x - 11) = -7[/tex]
[tex]-2x - 18x + 33 = -7[/tex]
[tex]-20x+ 33 = -7[/tex]
[tex]-20x= -7-33[/tex]
[tex]-20x= -40[/tex]
Divide through by -1
[tex]20x = 40[/tex]
[tex]x = 40/20[/tex]
[tex]x = 2[/tex]
Recall that:
[tex]y = 6x - 11[/tex]
[tex]y = 6 * 2 - 11[/tex]
[tex]y = 1[/tex]
2,
Given
[tex]-3x - 3y = 3[/tex]
[tex]y = -5x - 17[/tex]
In the second equation, we have: [tex]y = -5x - 17[/tex]
Substitute [tex]-5x - 17[/tex] for [tex]y[/tex] in the first equation
[tex]-3x - 3y = 3[/tex]
[tex]-3x - 3(-5x - 17) = 3[/tex]
[tex]-3x + 15x + 51 = 3[/tex]
[tex]12x + 51 = 3[/tex]
[tex]12x=3 - 51[/tex]
[tex]12x=-48[/tex]
[tex]x = -48/12[/tex]
[tex]x = -4[/tex]
Recall that: [tex]y = -5x - 17[/tex]
[tex]y = -5 * -4 - 17[/tex]
[tex]y = -3[/tex]
3. Given
[tex]-4x + y = 6[/tex]
[tex]-5x - y = 21[/tex]
Add both equations to eliminate y
[tex]-4x - 5x + y - y = 6 + 21[/tex]
[tex]-9x= 27[/tex]
Solve for x
[tex]x = 27/-9[/tex]
[tex]x = -3[/tex]
Substitute -3 for x in the first equation: [tex]-4x + y = 6[/tex]
[tex]-4 * -3 + y = 6[/tex]
[tex]12 + y = 6[/tex]
[tex]y = 6 - 12[/tex]
[tex]y = -6[/tex]
4. Given
[tex]-7x - 2y = -13[/tex]
[tex]x - 2y = 11[/tex]
Make x the subject in the second equation
[tex]x - 2y = 11[/tex]
[tex]x = 11 + 2y[/tex]
Substitute 11 + 2y for x in the first equation
[tex]-7x - 2y = -13[/tex]
[tex]-7 (11 + 2y) - 2y = -13[/tex]
[tex]-77 -14y - 2y = -13[/tex]
[tex]-77 -16y = -13[/tex]
[tex]-16y = -13 + 77[/tex]
[tex]-16y = 64[/tex]
[tex]y = 64/-16[/tex]
[tex]y = -4[/tex]
Substitute -4 for y in [tex]x = 11 + 2y[/tex]
[tex]x = 11 + 2 * -4[/tex]
[tex]x = 11 -8[/tex]
[tex]x = 3[/tex]
5. Given
[tex]-2x + 6y = 6[/tex]
[tex]-7x + 8y = -5[/tex]
Multiply the first equation by 7 and the second by - 2 to eliminate x
The first
[tex]7(-2x + 6y = 6)[/tex]
[tex]-14x + 42y =42[/tex]
The second
[tex]-2(-7x + 8y = -5)[/tex]
[tex]14x - 16y = 10[/tex]
Add the resulting equations
[tex]-14x + 42y =42[/tex]
[tex]14x - 16y = 10[/tex]
------------------------------
[tex]-14x + 14x + 42y - 16y = 42 + 10[/tex]
[tex]42y - 16y = 42 + 10[/tex]
[tex]26y = 52[/tex]
Solve for y
[tex]y = 52/26[/tex]
[tex]y = 2[/tex]
Substitute 2 for y in [tex]-2x + 6y = 6[/tex]
[tex]-2x + 6 * 2 = 6[/tex]
[tex]-2x + 12 = 6[/tex]
[tex]-2x = 6 -12[/tex]
[tex]-2x = -6[/tex]
Solve for x
[tex]x = -6/-2[/tex]
[tex]x = 3[/tex]
3. A serving of a frozen casserole is 1/6 of a pan. If Vicky eats 1/7 of the pan, what fraction of a serving has Vicky eaten? Vicky has eaten of a serving (Type an integer or a simplified fraction.)
Answer:
[tex]x=\dfrac{6}{7}[/tex]
Step-by-step explanation:
A serving of a frozen casserole is 1/6 of a pan.
Vicky is 1/7 of the pan
We need to find the fraction of a serving has Vicky eaten. Let he has eaten x. It means (1/6) of x is equal to (1/7).
ATQ,
[tex]\dfrac{1}{6}x=\dfrac{1}{7}\\\\x=\dfrac{6}{7}[/tex]
So, he has eaten (6/7) of a serving Vicky eaten.
ILL MARK BRAINLIEST PLS NEED HELP
Answer:
Hello!!! Princess Sakura here ^^
Step-by-step explanation:
These type of problems could be a little tricky so I'll explain this one as I go.
So the first step I would do is to multiply the 8 in both sides so you end up with...[tex]x+11=-24[/tex]
After that it should be easier and you'll go at it normally by subtracting the 11 in both sides and that should leave you with the answer of [tex]x=-35[/tex]
HELP ME HELP ME PLEASEEE
!!!!!!!!!
Answer:
I belive so it is
The slope: 3/2
The y-intercept: (0,9)
Step-by-step explanation:
what is the change in elevation from 70 below sea level to 40 above sea level
Answer:
110
Step-by-step explanation:
70 below sea level is kinda like -70 and 40 above is just... 40. So to get 110 you add 70 to -70 and 40 to the first sum and then add 70 and 40 together. Your sum will be 110!
Hope this helps!
To make 3/4 pound it makes nuts how many pounds of cashews would you add to 1/8 pound them almonds and 1/4 pound of peanuts
9514 1404 393
Answer:
a. 3/8 lb of cashews
Step-by-step explanation:
The amount that needs to be added is the difference between the amount of mix wanted and the amount of mix provided by the given quantities of nuts.
3/4 lb - (1/8 lb +1/4 lb) = (3/4 -1/4 -1/8) lb = (2/4 -1/8) lb = (4/8 -1/8) lb
= 3/8 lb . . . . amount of cashews needed
Which point is located on the line represented by
the equation y = 5x + 4?
All points in the format: (x, 5x + 4) are in the line.
A few examples are: [tex](-2,-6), (-1,-1), (0,4), (1,9), (2,14)[/tex]
--------------------------
The equation of the line is:
[tex]y = 5x + 4[/tex]
This means that the points located on the line have the following format:
[tex](x, y) = (x, 5x + 4)[/tex]
Among the examples:
[tex](-2, 5(-2) + 4) = (-2,-6)[/tex]
[tex](-1, 5(-1) + 4) = (-1,-1)[/tex]
[tex](0, 5(0) + 4) = (0,4)[/tex]
[tex](1, 5(1) + 4) = (1,9)[/tex]
[tex](2, 5(2) + 4) = (2,14)[/tex]
A similar problem is given at https://brainly.com/question/22566209
Two hundred thirty-three and sixty-four hundredths in standard form
Answer:
243.64
Step-by-step explanation:
its word form
what are the slope rules?
please write them so i can write them in my notes
many thanks <3
Answer:
y=mx+b
mx = slope
b= y intercept
Step-by-step explanation:
Answer:
y = mx + b
slope- rise/run
Step-by-step explanation:
Maria spent $22.68 on 7.2 gallons of gas. Her friend, April, spent $31.16 on 9.5 gallons of gas at a different gas station. Who paid less per gallon for gas, Maria or April? Justify. Pls help me!!!:(((
Answer:
Maria paid less. She paid $.13 less than Apri.
Step-by-step explanation:
Maria-divide $22.68 by 7.2= $3.15 per gallon of gas
April-divide $31.16 by 9.5=$3.28 per gallon of gas
n-4=20
What is the answer.?
Answer:
n=24
Step-by-step explanation:
add 4 to both sides
Answer:
n =24Step-by-step explanation:
[tex]n-4=20\\\\\mathrm{Add\:}4\mathrm{\:to\:both\:sides}\\n-4+4=20+4\\\\Simplify\\\\n = 24[/tex]
5x – 3(x – 6) =
i don’t know what to do
Answer:
2x+18
Step-by-step explanation:
I hope this help.
what is the rate of change for the graph?
Answer:
Step-by-step explanation:
1,2
2,7
7-2 is 5 and 2-1 is 1
5/1 is the slope
7=2*5+b
7=10+b
-3=b
y=5x-3
How do you work out 3^2+2^3 indices
3^2 +2^3
9+2^3
9+8
Answer : 17
What number is the largest?
A) 3.4 x 10^23
B) 3.4 x 10^21
C)3.4 x 10^22
Answer:
is A
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
The higher the exponent of a number, the larger the number is. The highest exponent is that of A which is 23.
help please i am really struggling
Answer:
Normally it would be the second option, but I believe the question writers made a mistake. Parallel lines always have the same slope (hence 2x), but have to have different y intercepts. I'm afraid to say none of the above.
Which statement correctly identifies a local minimum of the graphed function?
Over the interval [–3, –2], the local minimum is 0.
Over the interval [–2, –1], the local minimum is 2.2.
Over the interval [–1, 0.5], the local minimum is 1.
Over the interval [0.5, 2], the local minimum is 4.
Statement which is correctly identifies the local minimum of the graphed function is given by over the interval [tex][-1,0.5],[/tex] the local minimum is [tex]1[/tex].
What is graph?
" Graph is defined as the pictorial representation of the relation between the given variables on the coordinate plane along x-axis and y-axis."
According to the question,
Form the given graph of the function local minimum is given by
a. Over the interval [tex][-3, -2][/tex], the local minimum is [tex]0[/tex]:
From the graph value of y coordinate at [tex]x= -3[/tex] is closest to [tex]-6[/tex]. As per given statement local minimum is zero . [tex]-6 < 0[/tex]
At [tex]-2[/tex] closest to [tex]1[/tex] , [tex]1 > 0[/tex]
Therefore , local minimum [tex]=0[/tex] is not a correct option.
b. Over the interval[tex][-2, -1][/tex], the local minimum is [tex]2.2.[/tex]
From the graph at [tex]-2[/tex] closest to [tex]1[/tex] , [tex]1 \neq 2.2[/tex].
Moving from [tex]-2[/tex] to [tex]-1[/tex] graph is increasing . At [tex]-1[/tex] y - coordinate is equals to [tex]2[/tex].
Again [tex]2\neq 2.2[/tex]
Therefore, it is not a correct option.
c. Over the interval[tex][-1, 0.5][/tex], the local minimum is [tex]1[/tex]
From the graph at [tex]-1[/tex] closest to [tex]2[/tex] ,and keep on decreasing till [tex]x=0[/tex] .
From [tex]0[/tex] to [tex]0.5[/tex] graph keep on increasing.
At [tex]x= 0[/tex] value of y-coordinate is equals to [tex]1[/tex] , which represents the local minimum at [tex]x= 0[/tex] which is in the interval [tex][ -1, 0.5][/tex]
At [tex]x= -1[/tex] y- coordinate is equals to [tex]2[/tex]
At [tex]x= 0.5[/tex] y- coordinate is equals to [tex]2[/tex]
Local minimum [tex]= 1[/tex] at [tex]x=0[/tex]
Therefore, it is a correct option.
d. Over the interval [tex][0.5, 2],[/tex] the local minimum is [tex]4.[/tex]
In the given interval graph keeps on increasing [tex]1[/tex] to [tex]4[/tex] and so on.
It is not a correct option.
Hence, statement which is correctly identifies the local minimum of the graphed function is given by over the interval [tex][-1,0.5],[/tex] the local minimum is [tex]1[/tex].
Learn more about graph here
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PLEasEE help me...
i need
an equation with the solution of x=5.
a equation with the solution of 3/2 (1.5)
an equation with the solution of -2
thank you
Answer:
3x + 3 = x + 13
y=1.5x−6.5,
Step-by-step explanation:
substitute the number in for the first two
how many slices of pizza there are in 20 large pizzas each having 15 slices.
A.
300
B.
350
C.
200
D.
450
Answer:
A. 300
Step-by-step explanation:
20 pizzas x 15 slices in each pizza = 300 total slices in 20 pizzas
whats the answer to number 1 please and thank you? please write down the steps too
Answer:87
Step-by-step explanation:
43+x+15=3x
58+x=3x
58=2x
x=29
I aredy know it but can ya put it and see if I’m right plz :>
PLEASE HELP. 50 POINTS!! MULTIPLE CHOICE QUESTION I ATTACHED A PHOTO
Step-by-step explanation:
p⁻m ÷ pⁿ
p⁻m⁻ⁿ
Therefore,
Option C is correct ✔.
Write the coordinates of point H' after the following translation:
1) translation: 6 units left and 4 units up
Answer:
I= (-4, 2)
G= (-1,-1)
H= (-1,3)
Step-by-step explanation:
Translation of the object= 6 units left and 4 units up.
If csc 0 = 2, find sin 0
Answer:
1/2 (Please read explanation to educate yourself)
Step-by-step explanation:
csc = hyp/opp
sin is the inverse of csc --> sin = opp/hyp
so for csc you have csc(0) = 2/1 and since sin is the inverse then sin(0) = 1/2
Very basic trigonometry and it is the fundamentals of every higher math so learn it well.
A group of friends are playing a lawn game. In each round of the game, the players take turns throwing a plastic disc and aiming for the line. Their score is based on the distance their disc lands from the line. If the disc lands before the line, their score is negative. If the disc lands after the line, their score is positive.The table below shows the scores from the first round.
Jada -4
Jacques 7
Maeve -2
Vladamir 3
Terrance 1
Put the players in order from first place to last place.
Please put the answer and not something stupid
Also I’ll give brainliest
Answer: Here
Step-by-step explanation:
7,3,1,-2
Answer:
7,3,1,-2
hope it helps
Find the slope of the line that passes through the points (4, 3) and
(2, 7).
Answer:
-2
Step-by-step explanation:
7-3/2-4=-2
use slope formula
The equation of line passes through the points (4, 3) and (2, 7) will be;
⇒ y = - 2x + 11
What is Equation of line?
The equation of line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Given that;
Two points on the line are (4, 3) and (2, 7)
Now,
Since, The equation of line passes through the points (4, 3) and (2, 7)
So, We need to find the slope of the line.
Hence, Slope of the line is,
m = (y₂ - y₁) / (x₂ - x₁)
m = (7 - 3) / (2 - 4)
m = 4 / -2
m = - 2
Thus, The equation of line with slope - 2 is,
⇒ y - 3 = - 2 (x - 4)
⇒ y - 3 = - 2x + 8
⇒ y = - 2x + 11
Therefore, The equation of line passes through the points (4, 3) and
(2, 7) will be;
⇒ y = - 2x + 11
Learn more about the equation of line visit:
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maria has three more than twice as many crayons as elizabeth
Answer:
You did not provide your whole question?
Step-by-step explanation:
At a factory, five robots can construct
a car every ten minutes. How many
robots are needed if the company
wants to produce 30 cars every 25
minutes?
Answer:
5 times the quantity of 30 is (5*30) = 150 robots are needed.
Step-by-step explanation:
....
I need help with this algebra question can someone explain the steps on how you solve it ?
Answer:
27
Step-by-step explanation:
(5+√2)²
you distribute the ² in the ()
so 5²+√2²
5²=25
√2²=2 because the √ and ² cancel each other out and you get 2
so now you have
25+2
which equals
27
Given expression:
(5 + [tex]\sqrt{2}[/tex])²
Now let us solve this problem by simplifying it;
(5 + [tex]\sqrt{2}[/tex])²:
the power implies the expression in the bracket should be repeated twice:
= (5 + [tex]\sqrt{2}[/tex]) (5 + [tex]\sqrt{2}[/tex])
Then expand the bracket by distribution;
= (5 x 5) + 5([tex]\sqrt{2}[/tex]) + 5([tex]\sqrt{2}[/tex]) + 2
= 25 + 10[tex]\sqrt{2}[/tex] + 2
= 27 + 10[tex]\sqrt{2}[/tex]
How many 1/8s are in 1 1/4
Please answer
Answer:
10
Step-by-step explanation:
Two 1/8 is a quarter
1/8 in decimal form is 0.125
0.125 x 10 = 1.25 a.k.a 1 1/4
I'm so sorry for the mistype
Answer:
Step-by-step explanation:
One eighth is one part of eight equal sections. Two eighths is one quarter and four eighths is a half. Eighths if you make them into quarters and then divide each quarter in half.
If f(x) = 5x - 75, find f(-2).
Answer:
-85
Step-by-step explanation: