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]
xx f(x)f(x)f, left parenthesis, x, right parenthesis
-5−5minus, 5 -2−2minus, 2
-4−4minus, 4 222
-3−3minus, 3 000
-2−2minus, 2 111
-1−1minus, 1 000
000 333
111 -7−7minus, 7
222 -8−8minus, 8
333 -3−3minus, 3
444 111
555 444
What is the average rate of change of fff over the interval -4\leq x\leq 5−4≤x≤5minus, 4, is less than or equal to, x, is less than or equal to, 5?
Give an exact number.
Answer:
4
Step-by-step explanation:
khan
Circle the true number sentences and rewrite the false sentences to make
4= 4
5 + 1 = 6 + 1
3 + 2 = 5 + 0
6+2=4+4
3+3= 6 + 2
9 + 0 = 7 + 2
8-8 +0
6+3=5+4
3+3=6+2
The given statements 4=4, 3+2=5+0, 6+2=4+4, 9+0=7+2, 8-8=0 and 6+3=5+4 are the true.
What is an equivalent expression?Equivalent expressions are expressions that work the same even though they look different. If two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value for the variable.
Here,
1) 4=4
Statement is true.
2) 5+1=6+1
6≠7
Statement is not true.
3) 3+2=5+0
5=5
Statement is true.
4) 6+2=4+4
8=8
Statement is true.
5) 3+3=6+2
6≠8
Statement is not true.
6) 9+0=7+2
9=9
Statement is true.
7) 8-8=0
0=0
Statement is true.
8) 6+3=5+4
9=9
Statement is true.
9) 3+3=6+2
6≠8
Statement is not true.
Therefore, the statements 4=4, 3+2=5+0, 6+2=4+4, 9+0=7+2, 8-8=0 and 6+3=5+4 are the true.
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PLZ HELP FAST
A cruise ship is currently 15 kilometers away from its port and is traveling away from the port at 15
kilometers per hour. The function y = 15x + 15 relates the number of kilometers y the ship will be from
its port x hours from now. How far will the cruise ship be from its port 3 hours from now?
The cruise ship will be______ kilometers away from port in 3 hours.
Answer:
45
Step-by-step explanation:
Answer: 60 kilometers
Step-by-step explanation:
Plug in your hours:
y = 15(3) + 15
y = 45 + 15
y = 60 kilometers
Hope this helps!
can someone help me i don’t get this at all !!!! OLEASEEE
Answer:
A
Step-by-step explanation:
not enough info
Given the domain {-4, 0, 5}, what is the range for the relation 12x + 6y = 24?
A.
{-4, 4, 14}
B.
{2, 4, 9}
C.
{-12, -4, 6}
D.
{12, 4, -6}
Answer:
The range is {12, 4, -6} ⇒ D
Step-by-step explanation:
The range of the relation is the values of y corresponding to the values given for x which is the domain of the relation
∵ The relation is 12x + 6y = 24
∵ The domain of the function is {-4, 0, 5}
→ That means x = -4, 0, 5, we need to find their corresponding values of y
∴ Substitute the values of x in the relation
∵ x = -4
∴ 12(-4) + 6y = 24
∴ -48 + 6y = 24
→ Add 48 to both sides
∴ -48 + 48 + 6y = 24 + 48
∴ 6y = 72
→ Divide both sides by 6 to find y
∴ [tex]\frac{6y}{6}=\frac{72}{6}[/tex]
∴ y = 12
∵ x = 0
∴ 12(0) + 6y = 24
∴ 0 + 6y = 24
∴ 6y = 24
→ Divide both sides by 6 to find y
∴ [tex]\frac{6y}{6}=\frac{24}{6}[/tex]
∴ y = 4
∵ x = 5
∴ 12(5) + 6y = 24
∴ 60 + 6y = 24
→ Subtract 60 from both sides
∴ 60 - 60 + 6y = 24 - 60
∴ 6y = -36
→ Divide both sides by 6 to find y
∴ [tex]\frac{6y}{6}=\frac{-36}{6}[/tex]
∴ y = -6
∵ The range is the values of y which corresponding to the domain
∴ The range is {12, 4, -6}
The answer is down below have a good day!!!
Solve for x: 3(x + 1) = -2 (x-1) - 4
Answer: x = -1
Remove parentheses
Calculate
Move the terms
collect like terms, calculate.
divide both sides.
Answer: x = -1
3(x + 1) = -2(x-1) - 4 (Expand by distributing)
3x + 3 = -2x + 2 - 4 (Rearrange the terms so that the terms with a variable of x are on one side)
3x + 2x = 2 - 4 - 3 (Collect like terms)
5x = -5 (Divide both sides by 5 to isolate for x)
x = -1
∴ x = -1.
Solve for V and simplify.
2v+6=13v-4v+62
The equation 5y=6 represents purchasing 5 tubs of yogurt for $6 In this
equation, what does the solution represent?
z=b+ m/a, solve for a
45.52
The attendance at a seminar in year 1 was 500. In Year 2, the attendance changed by 100. What was the percent chang
in attendance?
O The percent change was 0.2%.
O The percent change was 0.4%.
O The percent change was 20%.
O The percent change was 40%.
Save and Exit
Next
Submit
Marke this and tu
Answer:
20%
Step-by-step explanation:
[tex]percent change = \frac{difference}{original value} * 100[/tex]
[tex]= \frac{100}{500} * 100\\= 20[/tex]
What happens to the median if the game with 3 hits is remqued from the data sset
What is the circumference of a circle that has a radius of 7 m?
Step-by-step explanation:
you you can use two formulas here either pi d or 2 pi r so when you use pie d which change the radius to diameter by multiplying by two so in this case we will multiply 7 by 2 to get 14 then use the formula so is 22/7 * 14 to get 44
3. An almirah is sold at 5,225 after allowing a discount of 5%. Find its marked price.
Answer:
4,963.85
Step-by-step explanation:
how to construct cuboid net? what should be the measurement (around 1-5)?
the measurement should be 4
Use a triple integral to find the volume of the given solid. The solid bounded by the parabolic cylinder y = x2 and the planes z = 0, z = 4, y = 16.
Answer:
The answer is "[tex]\bold{\frac{1024}{3}}[/tex]".
Step-by-step explanation:
[tex]= \int\limits^{4}_{-4} \int\limits^{4}_{0} \int\limits^{16}_{x^2} dy\ dx \ dz \\\\= 2 \int\limits^{4}_{0} \int\limits^{4}_{0} \int\limits^{16}_{x^2} dy\ dx \ dz \\\\ = 2 \int\limits^{4}_{0} \int\limits^{4}_{0} (16-x^2) dx \ dz \\\\= 2 \int\limits^{4}_{0} \int\limits^{4}_{0} 16x -\frac{x^3}{3} dx \ dz \\\\= 2 (16x -\frac{x^3}{3})^4_{0} \ dz \\\\= 2 (4) (16x -\frac{64}{3}) \\\\=8(\frac{2}{3} \times 64) \\\\=(\frac{16\times 64}{3} ) \\\\= \frac{1024}{3}[/tex]
The volume of the given solid is [tex]\frac{1024}{3}[/tex] cubic units.
In this question we must use the triple integral formula in rectangular coordinates to determine the volume of the solid ([tex]V[/tex]):
[tex]V = \iiint dy\,dx\,dz[/tex] (1)
The solid is constrained by the following intervals:
[tex]y \in [x^{2}, 16][/tex], [tex]x \in [-4, 4][/tex], [tex]z\in [0, 4][/tex]
Then, the triple integral is now described:
[tex]V = \int\limits_{0}^{4}\int\limits_{-4}^{4}\int\limits_{x^{2}}^{16} dy\,dx\,dz[/tex]
Now we proceed to integrate thrice to obtain the volume:
[tex]V = \int \limits_{0}^{4}\int \limits_{-4}^{4} (16-x^{2})\,dx\,dz[/tex]
[tex]V = \int\limits_{0}^{4} \left(16\cdot x - \frac{x^{3}}{3}\right)\left|\limits_{-4}^{4} dz[/tex]
[tex]V = \frac{256}{3} \int\limits_{0}^{4} dz = \frac{1024}{3}[/tex]
The volume of the given solid is [tex]\frac{1024}{3}[/tex] cubic units.
We kindly invite to check this question on triple integrals: https://brainly.com/question/19484372
Graph the line that represents the equation
Answer:
In the attachment.Step-by-step explanation:
We need only two points.
Choose any two values of x. Put them to the equation and calculate the value of y:
[tex]y=-\dfrac{2}{3}x+1\\\\\text{for}\ x=0\\\\y=-\dfrac{2}{3}\cdot0+1=0+1=1\to A(0;\ 1)\\\\\text{for}\ x=3\\\\y=-\dfrac{2}{3}\cdot3+1=-2+1=-1\to B(3;\ -1)[/tex]
85 miles on 8 gallons of gas
Answer:
11.6 miles per gallon
Step-by-step explanation:
Answer:
11.6 miles per gallon
Step-by-step explanation:
just divide
Evaluate and reduce:
3
4
35 - -
F
Enter the number that belongs in the
green box.
Answer:
28
Step-by-step explanation:
35/5 ÷ -3/4
=7÷ (-3/4)
=7× (4/-3)
=(7×4)/-3
=- 28/3
the minus is already placed in the question, that makes the answer 28 without the minus
A water-salt mixture calls for 3/4 cup if salt to be placed in 5 1/2 cups of water if i use 1 cup if salt how much water should i use to preserve the proper water to salt ratio
Answer:
7⅓ cups of water
Step-by-step explanation:
Water-salt mixture ratio = ¾ cup of salt to 5½ cups of water (¾ : 5½)
To maintain this water to salt ratio, if you intend to use 1 cup of salt, the number of water you need to add can be calculated as follows:
¾ cup of salt : 5½ cups of water = 1 cup of salt : x cups of water
¾ : 5½ = 1 : x
[tex] \frac{\frac{3}{4}}{5\frac{1}{2}}. = \frac{1}{x} [/tex]
[tex] \frac{\frac{3}{4}}{\frac{11}{2}} = \frac{1}{x} [/tex]
[tex] \frac{3}{4}*{\frac{2}{11} = \frac{1}{x} [/tex]
[tex] \frac{3}{2}*{\frac{1}{11} = \frac{1}{x} [/tex]
[tex] \frac{3*1}{2*11} = \frac{1}{x} [/tex]
[tex] \frac{3}{22} = \frac{1}{x} [/tex]
Cross multiply
[tex] 3x = 22 [/tex]
Divide both sides by 3
[tex] \frac{3x}{3} = \frac{22}{3} [/tex]
[tex] x = 7\frac{1}{3} [/tex]
Number of cups of water to add to 1 cup if salt is 7⅓ cups.
Good Morning
Here is a Maths Question for you - I will give Brainliest. Worth 10 points. Also please answer ASAP.
Please show workings as well.
Thanks
Jake
Answer:
13-(5*4)=?
13-20=-7
Step-by-step explanation:
the orginal number is 13 and accordin to the question it has stated that everysteps we have to take out 5 so what i did is that i multiplied 4 by 5 and i a going to subtract it from 13 which i have the result of -7.
Answer:
28
Step-by-step explanation:
first term(a)=13
difference(d)=5
t(4)=?
now,
t(4)=a+(n-1)d
=13+(4-1)5
=13+3×5
=28
PLEASE HELP FAST!!!! THIS IS URGENT!!!
For the following set of triangles, fill in the blanks with the correct measure. Enter your answers as number only.
1) m∠A = _____˚
2) m∠B = _____˚
3) m∠C = _____˚
4) m∠X = _____˚
5) m∠Y = _____˚
6) m∠Z = _____˚
7) Segment AB = ___ units
8) Segment BC = ___ units
9) Segment AC = ___ units
10) Segment XY = ___ units
11) Segment YZ = ___ units
12) Segment XZ = ___ units
Answer:
1. 53°
2. 90°
3. 37°
4. 57°
5. 90°
6. 37°
7. 3
8. 4
9. 5
10. 3
11. 4
12. 5
Step-by-step explanation:
it's alot to explain, if you need an explanation for a certain one, just ask me lol
I need to turn this in by tomorrow!!!!! PLEASE HELP ME.
Step-by-step explanation:
Alternate interior angles :- 1 , 4
corresponding angles :- 3
same side interior angles :- 2 , 5 , 6
Miguel works for a company that installs and repairs dishwashers. Last week he installed 3 and repaired 4 dishwashers. What is the ratio of Miguel’s total jobs to dishwashers that he repaired?
Answer:
ewhyfreu62
Step-by-step explanation:
Please help me solve both of them
Answer:
first one: a,d,e
second one: d
Step-by-step explanation:
pemdas
Answer:
1.- A
2.- A
Step-by-step explanation:
Please help me ..................
The answers are shown below:
What is square root?The square root of a number is that factor of a number which when multiplied by itself gives the original number. Squares and square roots are special exponents.
Consider the number 9. When 3 is multiplied by itself, it gives 9 as the product. This can be written as 3 × 3 or 32. Here, the exponent is 2, and we call it a square. Now when the exponent is 1/2, it refers to the square root of the number. For example, √n = n^1/2, where n is a positive integer.
a) point E represent √47 ( 6.855)b) point D represent √27 ( 5.19)
c) point A represent √11 ( 3.316)
√13(3.6050 lies between 3 and 4.-√150 (12.247) lies between (-12 and -13)side = √area= √30 = 5.477 inch√90=9.48 ( option b)The incorrect statement is √12 lies between 4 and 5Learn more about square root here:
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Maddy made $22.50 for babysitting for 5 hours for her aunt. Maddy was paid $21.00 for 3.5 hours of babysitting for her neighbor. How much more per hour does Maddy’s neighbor pay than her aunt?
A. $1.00/hr
B. $1.50/hr
C. $2.00/hr
D. $2.50/hr
Answer: B.1.50
Step-by-step explanation:
22.50 divided by 5 = 4.5
21.00 divided by 3.5 = 6.0
6 - 4.5 = 1.50
This will tell us the differences in
how much money they made.
PLSSSSSS 15 POINTS
create a discount booklet using
actual advertisements available right
now. Use newspaper or flyers. Must
have actual ads for the work. You
must show your calculations for each
ad.
Answer:
You cant make this..
Step-by-step explanation:
Can y’all help plzzzzz
1.
m
In the figure below, m||n. Match the angle pairs with the
correct label for the pairs.
A. 24 and 26
a.
Corresponding Angles
HA
B. 25 and 28
b.
?
Same-Side Interior Angles
C. Z2 and 26
c.
?
Alternate Interior Angles
D. 24 and 25
d. ?
Vertical Angles
The matching is as follows:
1. <4 and <6 ------> same- side interior angle
2. <5 and <6 ------> vertical angles
3. <2 and <6 ------> corresponding angle.
4. <4 and <5 ------> alternate interior angle
What are properties of parallel lines?Properties of Parallel Lines
The pairs of corresponding angles are equal.The pairs of vertically opposite angles are equal.The pairs of alternate interior angles are equal.The pairs of alternate exterior angles are equal.Now, from the figure
1. <4 and <6 shows the relationship of same- side interior angle
2. <5 and <6 shows the relation of vertical angles
3. <2 and <6 shows the relation of corresponding angle.
4. <4 and <5 shows the relation of alternate interior angle
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mariain buys a dress that costs 32 dollars she pays 10 percent sales tax
Answer:
the total cost would be $45.2
Can you guys help me with this angle problem for Geometry tysm
Answer:
You need to solve for x
Step-by-step explanation:
3x + 5 + 10x - 7 = 180
13x + 5 - 7 = 180
13x - 7 = 175
13x = 182
x = 14
Plug in x
3(14) + 5 for QRT and 10(14) - 7 for TRS
QRT = 47 and TRS = 133
Answer:
QRT = 47
TRS = 133
Step-by-step explanation:
The two angles form a straight line so they add to 180
3x+5 + 10x-7 = 180
13x-2 =180
Add 2 to each side
13x-2+2 =180+2
13x= 182
Divide by 13
13x/13 = 182/13
x =14
We want QRT = 3x+5 = 3*14+5 = 42+5 = 47
TRS = 10x-7 = 10*14-7 = 140-7 = 133