Answer:
[tex]x_1 = 1[/tex]
[tex]x_2=0[/tex]
Step-by-step explanation:
The question is incomplete as the method is not given.
However, the question can still be solved.
Given
[tex]x_1 - x_2 = 1[/tex]
[tex]3x_1 + x_2 = 3[/tex]
Make xi the subject in the first equation
[tex]x_1 = 1 + x_2[/tex]
Substitute 1 + x2 for xi in the second equation
[tex]3(1+x_2)+x_2 = 3[/tex]
Open bracket
[tex]3+3x_2+x_2=3[/tex]
[tex]3+4x_2=3[/tex]
Collect Like Terms
[tex]4x_2 = 3-3[/tex]
[tex]4x_2 =0[/tex]
Solve for x2
[tex]x_2=0/4[/tex]
[tex]x_2=0[/tex]
Recall that:
[tex]x_1 = 1 + x_2[/tex]
[tex]x_1 = 1+0[/tex]
[tex]x_1 = 1[/tex]
Alex needs to bisect ∠ABC using a compass and straightedge. He starts by performing the following steps. Step 1: Place the compass on vertex B of the angle. Step 2: Draw an arc that intersects both sides of the angle. Step 3: Label these intersections as point D and point E . Step 4: Place the compass at point D and draw an arc in the interior of the angle. What are the next steps Alex should take in his construction?
Answer:
Step 5: Without changing the length of the compass place it on point E and draw an arc in the interior of the angle.
Step 6: Draw a straight line with the straight edge that goes from the vertex and thru the intersection of both arcs.
Step-by-step explanation:
To bisect and angle is to split it prefectly in half, making for example a 90º angle into two 45º angles, in order to do this you will just need to use your compass and draw an arc that will pass over both sides of the angle, after that you put it in the intersections of the arc and the sides and just draw arcs that fit inside the angle from there where both arcs created from the intersections of the precious arc meet that's the middle of the angle, so now you just draw a straight line from the vertex to the intersection of both arcs and you just have bisected an angle.
Alice was rock climbing. She climbed to a height of 22 feet. Next, she descended 8 feet. Then, she ascended another 34 feet. What was
Alice's elevation?
Answer:
48 brainlest plz
Step-by-step explanation:
22-8=14
14+34=48
HELLLPP!!!! Jake's regular hourly wage is $14.15 after working 40 hours in a week he gets paid overtime which is a pay and a half if Jake worked for 58 hours what will his weekly gross income be
how to factor g2 − 32g + 256
Answer:
Using the snowflake method, you have to find the factors of 256 that add up to get 32.
The result will look like this:
(g-16)(g-16)
Answer:
[tex](g-16)^2[/tex]
Step-by-step explanation:
[tex]g^2-32g + 256[/tex]
To factor it you should remember that
[tex](a-b)^2 = a^2 -2ab+b^2[/tex]
It is easy to seee that
[tex]32 = 2 \cdot 16[/tex]
and
[tex]256 = 16^2[/tex]
Therefore
[tex]g^2-32g + 256 = g^2 - (2\cdot 16)g+ 16^2 = (g-16)^2[/tex]
−3.5=x4 please help me
There are 20 students in a class and 70% of these students passed their Biology test.
What number of these students passed their test? Round your answer to the nearest whole
number if necessary.
Answer:
The answer is 14 students.
Step-by-step explanation:
70% of 20 = 14
If f(x)=x^2 and g(x) =3x-1 find [g • f](x)
Answer:
3x²-1
Step-by-step explanation:
f(x) = x²
g(x) = 3x-1
[g·f](x)
g(f(x))
3(x²)-1
help with math, please
will give 100 points
Answer: y=x10
Step-by-step explanation:
The ratio of boys to girls in Ella's grade is 3 to 4. The ratio of boys to girls in Minh's grade is 4 to 5. Each grade has a total of 20 girls. How many boys are in each grade?
insert two arithmetic means between 15 and 36
Answer: a_1 = 15
a_4 = 36
a_n = a_1 + (n - 1)d
36 = 15 + (4 - 1)d
21 = 3d
7 = d
15, 22, 29, 36
Tara's website, verdantveggies.com, specializes in the sale of rare or unusual vegetable seeds. Tara sells packets of sweet-pepper seeds for $2.85 each and packets of hot-pepper seeds for $4.29 each. She also offers a 16-packet mixed-pepper assortment combining packets of both types of seeds at $3.30 per packet. How many packets of each type of seed are in the assortment?
Answer:
Let's define the variables:
S = # of sweet pepper seeds in the mix pack.
H = # of hot pepper seeds in the mix pack.
Let's suppose that $3.30 is the mean price of the seeds in the mix pack.
Then we have two equations:
S + H = 16.
(S*$2.85 + H*$4.29)/16 = $3.30
Now let's solve this system.
The first step is isolating one variable in one of the equations, i will isolate S in the first equation.
S = 16 - H.
Now we can replace this in the second equation, and solve it for H.
( (16 - H)*$2.85 + H*$4.29)/16 = $3.30
( (16 - H)*$2.85 + H*$4.29) = $3.30*16 = $52.80
$45.60 + H*$1.44 = $52.80
H*$1.44 = $52.80 - $45.60 = $7.20
H = $7.20/$1.44 = 5
Then in the mix pack there are 5 hot-pepper seeds.
And the other 11 must be sweet-pepper seeds
Algebraic equations are equations that contain unknown variables.
The number of packets of sweet-pepper seeds is 11 and the number of packets of hot-pepper seeds is 5.
Let's represent:is
The number of packets of sweet-pepper seeds = s
The number of packets of hot-pepper seeds = h
Based on this question, our system of equations are:
$2.85 x s + $4.29 x h = $3.30(16)
2.85s + 4.29h = 52.8...........Equation 1
s + h = 16...........Equation 2
s = 16 - h
We substitute 16 - h for s in Equation 1
2.85(16 - h) + 4.29h = 52.8
45.6 -2.85h + 4.29h = 52.8
Subtract 45.6 from both sides
45.6 - 45.6 -2.85h + 4.29h = 52.8 - 45.6
1.44h = 7.2
h = 5
There are 5 hot-pepper seeds in the assortment.
Solving for the number of sweet-pepper seeds.
s = 16 - h
s = 16 - 5
s = 11
There are 11 sweet-pepper seeds in the assortment.
Therefore, the number of packets of sweet-pepper seeds is 11 and the number of packets of hot-pepper seeds is 5.
To learn more, visit the link below:
brainly.com/question/12978834
Given f(x) = 5x + 1, find f(-3).
I need help ASAP
Answer:
take a look ...........
Eight more than.twice an number is four less than the same number
Answer:
2x+8=x-4
Step-by-step explanation:
I think that's right, let me know if it's wrong and I'll delete
3. At a road work site, 20 cones are placed along 50 feet of road. How many cones are placed
along 35 feet of road? *
Answer:
14 cones
Step-by-step explanation:
20/50=0.4
0.4 times 35=14
State the domain of the relation (1,2,3,3,4,5) (-3,-1,1,2,3)
The equation of a circle is (x−2)2+(y+6)2=100. Find the equation of a circle that is externally tangent to the given circle and has a center at (18, −6).
Answer:
(x-18)^2+(y+6)^=36
Step-by-step explanation:
circle basic equation is (x-h)^2+(y-k)^2=r^2
center is (18,-6) it is also externally tangent
so
(x-18)^2+(y+6)^2=36 answer
The equation of a circle that is externally tangent to the given circle and has a center at (18, −6) is [tex](x-18)^2+(y+6)^=36[/tex]
What is an equation of a circle?A circle can be characterized by its center's location and its radius's length. Let the center of the considered circle be at (h,k) coordinate.
Let the radius of the circle be 'r' units.
Then, the equation of that circle would be:
[tex](x-h)^2 + (y-k)^2 = r^2[/tex]
Given that the circle basic equation is [tex](x-2)^2+(y+6)^2=100[/tex]
The center is (18,-6) it is also externally tangent;
Therefore,
[tex](x-18)^2+(y+6)^2=36[/tex]
Therefore, the equation of a circle that is externally tangent to the circle is; [tex](x-18)^2+(y+6)^2=36[/tex]
Learn more about equation of a circle here:
https://brainly.com/question/10165274
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Steven put together 2,494 pieces of a puzzle. About how many pieces did he put together?
Answer:
2,494
Step-by-step explanation:
if he put 2,494pieces together you repeated the same question
What is the slopeWhat is the slope of this
linear equation:
2x+3y= -4x+9 of this linear equation: 2x+3y= -4x+9
Answer:
Slope = -2
Step-by-step explanation:
Equation in slope intercept form:
y = -2x + 3
Meaning slope equals -2
please help!! I'm really confused
Answer:
Point a is correct.
Step-by-step explanation:
hope I helped.
14 is no less than 8 times a number x plus 6.
An inequality is ?
Answer:
The inequality is 14 ≤ 8x + 6
HURRY whats the rate of change
Answer:
G. -9/2 o -4.5
Step-by-step explanation:
Answer:
G. -9/2
Step-by-step explanation:
this is the rate of change
A factory that manufactures screws is performing a quality control experiment. Each object should have a length of no more than 19 centimeters. The factory believes that the length of the screws exceeds this value and measures the length of 65 screws. The sample mean screw length was 19.04 centimeters. The population standard deviation is known is known to be 0.19 centimeters. What is the null hypothesis and what is the alternative hypothesis?
Answer:
Step-by-step explanation:
Ok
Answer:
A factory that manufactures bolts is performing a quality control experiment. Each object should have a length of no more than 11 centimeters. The factory believes that the length of the bolts exceeds this value and measures the length of 76 bolts. The sample mean bolt length was 11.09 centimeters. The population standard deviation is known to be 0.29 centimeters.
What is the test statistic ?
What is the -value?
Does sufficient evidence exist that the length of bolts is actually greater than the mean value at a significance level of
There are 8 dinner rolls in a package.
How many packages will be needed to feed 100 people if each person has 2 dinner rolls? Enter the correct answer to complete the statement.
They will need
packages.
Answer: 25 packages
Step-by-step explanation: 100x2=200 / 200/8=25
Answer:
100x2 = 200 dinner rolls
200 ÷ 8 = 25 packages
5 1/5- 1 3/4 fractions
Answer:
3 9/20
Step-by-step explanation:
first find a common demonator and change the denomators and what ever you did to the bottom you do to the top, then subtract them.
Please help, I’ve been stuck
plz help im having a very hard time answering these questions
i will mark u as brainliest
STEP BY STEP EXPLANATION:
drops
What is the interquartile range (IQR) of the salaries?
25
35
70
100
Answer:
First you order the data from least to greatest
then find the mean
next you Calculate the median of both the lower and upper half of the data
The IQR is the difference between the upper and lower medians.
Step-by-step explanation:
One of the dog treats in Shelley’s shop is 8 inches long and 3.2 inches wide. She wants to make a miniature version that has proportional dimensions. If the miniature treat will be 3 inches long, how wide should it be?
Answer:
1.2in
Step-by-step explanation:
Answer:
(1) 1.2 inches
Somebody please answer this question I’m begging you
Answer: The answer is A, the y value increases by 1.5 as the x value increases by 1. Therefore A does not describe the graph.
PLEASE HELP ME IM BEGGING YOU!!!
FIND THE VALUE OF X
84 I'm sure it's that I did it before