1. Which point is a solution to this system of equations? 3х - у = 7 and 2x + 3y = 1
Answers
9514 1404 393
Answer:
(x, y) = (2, -1)
Step-by-step explanation:
A graphing calculator can find a solution quickly. (see attached)
__
The first equation can give an expression for y:
y = 3x -7
We can substitute this into the second equation:
2x +3(3x -7) = 1
11x -21 = 1 . . . . . . simplify
11x = 22 . . . . . . . add 21
x = 2 . . . . . . . divide by 2
y = 3(2) -7 = -1 . . . . using our equation for y
The solution is (x, y) = (2, -1).
Related Questions
What is the unit price for an ounce of coffee if a 120-ounce package costs $9.60?
O $0.08 per ounce
O $0.80 per ounce
O $1.25 per ounce
O $110.40 per ounce
Answers
Price divided by ounces gives you the unit price.
$9.60/120 ounces = $0.08/ounce
Answer:
0.08
Step-by-step explanation:
Two functions are shown in the table below.
Function - 1,2,3,4,5,6
f(x) = −x2 + 4x + 12
g(x) = x + 8
Complete the table on your own paper, then select the value that is a solution to f(x) = g(x).
x = 6
x = 3
x = 5
x = 4
Answers
Answer:
[tex](d)\ x = 4[/tex]
Step-by-step explanation:
Given
[tex]f(x) = -x^2 + 4x + 12[/tex]
[tex]g(x) = x + 8[/tex]
Required
Find x such that: [tex]f(x) = g(x)[/tex]
This gives:
[tex]-x^2 + 4x + 12 = x+8[/tex]
Collect like terms
[tex]-x^2 + 4x -x + 12 -8=0[/tex]
[tex]-x^2 + 3x +4 =0[/tex]
Expand
[tex]-x^2 + 4x - x+4 =0[/tex]
Factorize
[tex]x(x - 4) - 1(x-4) = 0[/tex]
Factor out x - 1
[tex](x- 1)(x - 4)=0[/tex]
Solve:
[tex]x =1\ or\ x = 4[/tex]
What is the perimeter of this shape? Use numbers only. *
Answers
Answer:
13 m.
Step-by-step explanation:
Formula for perimeter of a rectangle: side + side + side + side.
In other words, add every side of the rectangle.
[tex]2.5+4+2.5+4=13.[/tex]
Therefore, 13 meters is the perimeter of this shape.
Answer:
13m
Step-by-step explanation:
Perimeter of a Rectangle: 2(L + W) where L is the Length, and W is the Width of the rectangle.
=> 2(4 + 2.5)
=> 2(6.5)
=> 13
Perimeter of the Figure = 13 m
Hope this helps!
What’s the correct answer?? I will mark as brainlest
Answers
Answer:
11
Step-by-step explanation:
Calculator
What is the value of n?
Enter your answer in the box.
Answers
Answer:
168
Step-by-step explanation:
168+8+4=180
Q3) There are 200 passengers on a plane. 84 of them are women and 12 are children.
What percentage of them are:
a) women
b) children
c) neither women nor children?
Answers
Step 1: Divide 84 by 200
84/200 =
84 ÷ 200 =
0.42
Step 2: Convert the result to decimal
0.42 = 42%
B. Children
Step 1: Divide 12 by 200
12/200 =
12 ÷ 200 =
0.06
Step 2: Convert the result to decimal
0.06 = 6%
C. Other
Step 1: Add the given numbers
84 + 12 = 96
Step 2: Subtract the total from the result
200 - 96 = 104
Step 3: Divide 104 by 200
104/200 =
104 ÷ 200 =
0.52
Step 4: Convert 0.52 to decimal
0.52 = 52%
7.
Which number line represents the solution to 2x + 3 < 5?
Answers
I think it's option 2.
Answer:
Option 2
Step-by-step explanation:
Option 2 is the answer
hope it helps uu
brainliest pls
If the regular price of an item is x dollars, what is the discount price in
dollars?
7.b
The price of the is x dollars is $
Answers
Answer:
x/regular price=y
1-y=discountx100
Step-by-step explanation:
What is the equation of the quadratic function represented by this table ??HELP PLEASE GRADUATION IS JUNE FIRST
Answers
9514 1404 393
Answer:
-3, 7, 8
Step-by-step explanation:
You can fill in the boxes from the table values as shown in the attachment.
The leading coefficient is negative because the parabola opens downward. The value of it is the change in y-value as x changes by 1 unit either side of the vertex.
The vertex is identified by the fact that the y-values are symmetrical either side of the vertex.
Answer:
-3, 7, 8
Step-by-step explanation:
a triangle has an area of 72 unites squared the base is 4 units tall how tall is the height
Answers
Answer:
h = 36 units
Step-by-step explanation:
A = 1/2bh
72=1/2(4)h
72=2h
h=36 units
Help me please? Making brainliest!
Answers
Answer:
0.33333
Step-by-step explanation:
[tex] \huge \red {\frac{1}{3}} \orange {=} \purple {0.33333} [/tex]
Hope it helps you in your learning process
It’s the last one, 0.33333
Which of the following pairs of triangles can be proven similar through SSS similarity?
Answers
Answer:
d
Step-by-step explanation:
The ΔDGF and ΔABC can be proven similar through SSS similarity. Therefore, option D is the correct answer.
We need to find which of the given pairs of triangles can be proven similar through SSS similarity.
What is SSS similarity?If all the three sides of a triangle are in proportion to the three sides of another triangle, then the two triangles are similar.
Now, form option D.
DF/AB=DG/AC=FG/BC
⇒8/2=10/2.5=11/2.75
⇒4=4=4
Thus, ΔDGF and ΔABC are similar.
Therefore, option D is the correct answer.
To learn more about the similarity visit:
https://brainly.com/question/12670209.
#SPJ5
Given the right angle triangle shown here, calculate:
1. a) sin(a)
17
2. a) sin(b)
8
b) cos(a)
b
b) cos(b)
15
c) tan(a)
c) tan(b)
Write trig. ratios for each.
Answers
Answer:
see explanation
Step-by-step explanation:
(1)
(a)
sin(a) = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{15}{17}[/tex]
(b)
cos(a) = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{8}{17}[/tex]
(c)
tan(a) = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{15}{8}[/tex]
----------------------------------------------------
(2)
(a)
sin(b) = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{8}{17}[/tex]
(b)
cos(b) = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{15}{17}[/tex]
(c)
tan(b) = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{8}{15}[/tex]
help with 6grade math
Answers
36/a
55 - b
18 + c
49d
explanation:
just do what it says
HELP HELP HELP HELP HELPPPP.
Answers
Answer:
letter d
................
Answer:
I think the answer is D - 0.6
1) The lines A and B are parallel. Identify a pair of corresponding angles?
A) ∠ 1 and ∠ 6
B) ∠ 3 and ∠ 8
C) ∠ 6 and ∠ 5
D) ∠ 5 and ∠7
2) If 25 measures 110°, what is the measure of ∠ 2?
-0)
A) 55°
B) 70°
C) 110°
D) 160°
Answers
2. If angle 5 is 110 degrees angle two would be c. 110 degrees as well
Each nickel is $0.05. Write and solve an equation to determine the total number of nickels needed to make $2.25
Answers
Answer:
you need 45 nickels
Step-by-step explanation:
Emily earns $15 for each car she washes. Create an equation to represent the relationship between the number of cars washed, C, and the amount, in dollars, Emily earns, m.
Answers
Answer:
An equation is c = 15m
Step-by-step explanation:
Please help me ! Is it 1 or 3
Answers
Answer:
its 3
Step-by-step explanation:
Answer:
not Shure but I think it is 1
Plz help me well mark brainliest if correct....?.?.?.?
Answers
The speed you are going determines the distance you travel before coming to a complete stop after pressing the brake.
Use the computer outputs, scatterplots, and residual plots to determine which statements are true. Check all that apply.
GIVING OUT BRAINLIEST IF CORRECT!
The linear model is most appropriate.
The power model is most appropriate.
Models are always improved by transformations.
The r2 on the linear model is stronger.
The residual plot is more patterned on the linear model.
Answers
Answer: A and D
Step-by-step explanation:
Please helppppppppppppppppppp
Answers
Answer:
50 feet
Step-by-step explanation:
Perimeter is the sum of all of the lengths of the sides.
A triangle has three sides, and three lengths are given, therefore all the sides are given.
The sum of the sides is 20 + 20 + 10 = 50
So the Perimeter is 50 feet
Answer:50
Step-by-step explanation:20+20+10=50
If you answer this question correctly i'll give you brainliest.
Answers
Answer:
5.7.11.13
Step-by-step explanation:
My guess
Answer:
first 11 second is 12 and 13 third is 14
Step-by-step explanation:
can someone help me on this please
Answers
Answer:
from top to bottom: 12, 17, 90
Step-by-step explanation:
the total for the first row is 45, and 2 of the numbers are 23 and 10. so, what you do is add 23 and 10 to get 33. Then you just subtract 33 from 45 to get 12.
Same with the other one. the total is 40 so you just subtract 23 from 40 to get 17.
The last one you add the numbers up. So 40+17+33 is 90.
pls mark brainliest (it is the crown)
Answer:
Sophomores in Art: 17
Freshmen in Drama: 12
Total Total: 90
Step-by-step explanation:
Total Kids in art: 40
Freshmen in art: 23
that leaves 17
Total kids in Drama: 33
Sophomores in Drama: 21
that leaves 12
Total sophomores in total: 45
Total freshmen in total: 45
That adds up to 90
Most people complain that they gain weight during the December holidays. To find out how much, we sample the weights of 23 adults in mid-November and again in early to mid-January. The mean weight change for the sample was a gain of 1.64 lbs., with a standard deviation of the differences of 8.73 lbs. Find a 88% confidence level for the average weight gain.
Answers
Answer:
The 88% confidence level for the average weight gain if between -1.30 lbs and 4.58 lbs.
Step-by-step explanation:
We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 23 - 1 = 22
88% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 22 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.88}{2} = 0.94[/tex]. So we have T = 1.6176
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}} = 1.6176\frac{8.73}{\sqrt{23}} = 2.94[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 1.64 - 2.94 = -1.30 lbs
The upper end of the interval is the sample mean added to M. So it is 1.64 + 2.94 = 4.58 lbs
The 88% confidence level for the average weight gain if between -1.30 lbs and 4.58 lbs.
Answer: CANNOT DO
Step-by-step explanation:
The sample size is less than 30 and it does not specifically state that it is normally distributed, so you cannot compute the answer.
Two less than the product of five and a number is negative 12.
Answers
Answer:
1. 2x-4=10
2. 3x+3=2x-1
3. 7x+x=24
4. 5+x=-18
5. -14=10-6x
6. 2x-2=x+12
7. 3x-31=2
8. 5x-14=16
9. 2x+8=4(5-x
10. 2x-3=3(1+x)
Explanation:
I JUST TAKEN THE QUIZ!!!!!
Help pls 15 points!!
Answers
Answer:
i think its num 4
Step-by-step explanation:
Write the following inequality in slope-intercept form. 6x+2y≤46
Answers
Answer:
y ≤ -3x + 23
Step-by-step explanation:
1. 6x + 2y ≤ 46
•subtract “6x” from both sides to isolate the “y” variable
2. 2y ≤ 46 -6x
•divide both sides by “2”
3. y ≤ 23 -3x
•reorder the terms so it fits the “y = mx + b” slope-intercept format
4. y ≤ -3x + 23
3+6+2=61
2+8+3=31
4+7+4=42
5+6+4=62
8+7+4=?????
Answers
Answer:
6mm AR, a 6 mm wildcat version which shares 6.5 Grendel's casing, but sends a (usually) lighter projectile up to 1,000 yards (900 m). 6.5×42mm, also known as 6.5 MPC (Multi Purpose Cartridge), based on a necked up .223 Remington case.
Step-by-step explanation:
Answer: 19
Step-by-step explanation:
8+7+4
8+7=15
15+4=19
HELP HELP HELP I NEED HELP
Answers
Answer:
b
Step-by-step explanation:
cause it a circle and it will need a little more then the number it is