Answer:
RXS=48
Step-by-step explanation:
According to the figure,
RXQ+QXS=RXS
or,8x-1+3x+5=5x+28
or,8x+3x-5x=28+1-5
or,6x=24
or, x=24/6
or,x=4
Then,
RXS=5x+28
=5×4+28
=20+28
=48
Solve:
a. 5y – 3 = – 18
b. -3x – 9 = 0
c. 4 + 3(z - 8) = -23
d. 1 – 2(y – 4) = 5
Answer:
a. y = -3
b. x = -3
c. z = - 1
d. y = -7
Step-by-step explanation:
a. 5y - 3 = - 18
5y = -18 +3
5y = -15
y = -15/5
y = - 3
b. -3x - 9 = 0
-3x = 9
x = 9/-3
x = -3
c. 4 + 3(z-8)= -23
4 + 3z-24 = -23
3z - 20 = -23
3z = -23 + 20
3z = -3
z = -3/3
z = - 1
d. 1 - 2(y-4) = 5
1 - 2y + 8 = 5
9 - 2y = 5
-2y = 14
y = 14/-2
y = -7
Monique has 12$ in her account, and she withdraws 40$ from the ATM.
Answer: -$28
Step-by-step explanation: Since Monique has $12, then she subtracts $40 from that. 12 - 40 = -28.
Hope this helps!
Which of the following is the graph of f(x) = |xl translated 2 units right, 2 units up, and dilated by a factor of 1/3?
Answer:
Its the C graph
Step-by-step explanation:
Hey, can someone help me with 8 math problems of numbers in their prime factored form? I have no idea how to do this and my teacher didn't really explain very well, so this would be a big help!
Prime factorization is shows you the only way a number can be factored.
Here are some examples:
6 = 2 x 3
(2 and 3 are prime numbers) If you need to, search up a prime chart of numbers. Also prime numbers is technically how small you can get a number.
Here are some more examples:
12 = 2 x 2 x 3
45 = 5 x 3 x 3
now that you see what it looks like, you may be wondering how did factor those out? Well first find a divisible number. lets use this example;
Factor out 42.
first think of your times table, what two numbers get you to 42, I know that 6 times 7 does so now write it out:
42 = 6 x 7
Is this equation done?
No it is not, 6 can still be factored.
What two numbers get you the product of 6?
they are 3 and 2.
Now the final factored out equation looks like this:
42 = 3 x 2 x 7
----------------------------
I hope this helps!
A polynomial function h(x) has a zero of x = 3 - 41 with a multiplicity of one. Certain values of h() are given in the following table.
x h(x)
-5 0
-2 3
-1 0
1. 2
4 0
7 6
10 O
If every real x-intercept of h() is shown in the table and each has a multiplicity of one, what is the degree of h(x)?
3
4
5
6
The degree of a polynomial is the value of the highest degree of a monomial in the polynomial
The degree of the polynomial h(x) is 5
The reason the above value is correct is as follows;
Given;
A zero of a polynomial function h(x) is the imaginary number, x = 3 - 4·i
The multiplicity of the root at x = 3 - 4·i is One
The given table showing the real roots of the polynomial is presented as follows;
[tex]\begin{array}{|c|cc|}\mathbf{x}&&\mathbf{h(x)}\\\displaystyle -5&&0\\-2&&3\\-1&&0\\1&&2\\4&&0\\7&&6\\10&&0\end{array}\right][/tex]
Required:
To find the degree of the polynomial, h(x)
Solution:
The maximum number of roots of a polynomial is given by the degree of the polynomial
The number of roots is given by the number zeros
The maximum number of roots an nth degree polynomial can have = n roots
From the given table, the number of zeros = 4 (each with multiplicity of one) = The number of real roots
Therefore, the total number of roots of the polynomial = 4 + 1 = 5 = The (minimum possible) degree of the polynomial
The degree of the polynomial = 5
Learn more about degree of a polynomial here:
https://brainly.com/question/2706981
in the figure below the measure of <1=5x°, the measure of <2=y°, and the measure of <3=85°. Find the value of each variable.
(for the first one <1=5x° I found out x=17 so I just need the rest if you can)
Answer:
y=95
Step-by-step explanation:
17x5=85
180-85=95
y=95
Each of the pairs of opposite angles made by two intersecting lines is called a pair of vertical angles. The value of x and y is 17 and 95, respectively.
What are vertical angles?Each of the pairs of opposite angles made by two intersecting lines is called a pair of vertical angles.
The measure of ∠1 and ∠3 will be equal since the two angles are vertical angles. Therefore, we can write.
∠1 = ∠3
5x° = 85°
x = 85° / 5
x = 17°
Also, the sum of measures ∠1 and ∠2 will be equal to 180°, this is because the two angles form a pair of linear angles. Therefore, we can write,
∠1 + ∠2 = 180°
5x + y = 180°
Substitute the value of x,
5(17°) + y = 180°
85° + y = 180°
y = 180° - 85°
y = 95°
Hence, the value of x and y is 17 and 95, respectively.
The complete question is mentioned below.
Learn more about Vertical Angles here:
https://brainly.com/question/24460838
#SPJ2
the set of whole numbers and their opposites
Answer:
Integers
Step-by-step explanation:
PLEASE HELP THIS IS DUE TODAY :((
The picture is attached below
The question is
Given the piecewise function shown below select all of the statements that are true
A is true: 1 > 0, and f (1) = 1² - 1 = 0.
B is false: -2 < 0, so f (-2) = -(-2) + 1 = 3.
C is false: 4 > 0, and f (4) = 4² - 1 = 15.
D is true: -1 < 0, so f (-1) = -(-1) + 1 = 2.
14 - 8 + 3 + 8 × [24 ÷ 8]
Answer:
33
Step-by-step explanation:
14 - 8 + 3 + 8 × [24 ÷ 8] =
14 - 8 + 3 + 8 × 3 =
14 - 8 + 3 + 24 =
6 + 3 + 24 =
9 + 24 =
33
Answer:
14-20×(24÷8)=-6×{3}=-18
Robert,Susan,and Todd are standing in a line. How many ways can they be arranged.
Answer:
They can be arranged 6 times
Step-by-step explanation:
Robert, Susan, Tod... Tod, Susan, Robert... Susan, Robert, Tod... Tod, Robert, Susan... Susan, Tod, Robert... Robert, Tod, Susan.
The area of a circle of radius 3 cm is approximately equal to
the difference between a number f and 2
Answer:
f-2
Step-by-step explanation:
difference means subtractions
f-2
Can someone explain me how to do this
8) v = -3
9) m = 4
Explanation:
8)
[First distribute the factored terms on the left side of the equation]
2(v + 4) + 3(4v + 5) = -19 →
2(v) + 2(4) + 3(4v) + 3(5) = -19 →
2v + 8 + 12v + 15 = -19 →
[Next, add the like terms together]
(2v + 12v) + (8 + 15) = -19 →
14v + 23 = -19 →
[Subtract 23 from both sides to isolate the constant term]
14v + 23 – 23 = -19 – 23 →
14v = -42 →
[Lastly, divide both sides by 14 in order to obtain the value of v from the coefficient of 14 in 14v]
14v / 14 = -42 / 14 →
v = -3
9)
[Start by distributing the factored term on the left side of the equation]
2(m – 1) = 10 – m →
2m – 2 = 10 – m →
[Next, add m to both sides in order to isolate the m term and remove -m from the right side of the equation]
2m – 2 + m = 10 – m + m →
3m – 2 = 10 →
[Add 2 to both sides to isolate the constant term and remove -2 on the left side of the equation]
3m – 2 + 2 = 10 + 2 →
3m = 12 →
[Finally, divide by 3 on both sides in order to reduce the coefficient of 3 in 3m to get m]
3m / 3 = 12 / 3 →
m = 4
PLEASEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE HELP DECIMAL WORD PROBLEM INTO EQUATION
Answer:
136 miles
Step-by-step explanation:
Write an equation to represent the cost of the rental, and then solve the equation to find the number of miles.
Let x = number of miles.
The total cost is the cost per mile plus the base fee.
1 mile costs $0.90
2 miles cost $0.90 * 2
x miles cost $0.90 * x, or simply 0.9x
The base fee is $16.95, so the total to rent for x miles is 0.9x + 16.95
The equation
c = 0.9x + 16.95
gives you the cost, c, for a rental of x miles.
We are told the total cost was $139.35. Replace c with 139.35, and solve for x, the number of miles.
139.35 = 0.9x + 16.95
Switch sides.
0.9x + 16.95 = 139.35
Subtract 16.95 from both sides.
0.9x = 122.4
Divide both sides by 0.9
x = 122.4/0.9
x = 136
Answer: 136 miles
-4a-(8a+1)= -169
Explain
[tex] - 4a - (8a + 1) = - 169 \\ \\ 4a + 8a + 1 = 169 \\ \\ 4a + 8a = 169 - 1 \\ \\ 12a = 169 - 1 \\ \\ 12a = 168 \\ \\ a = \frac{168}{12} \\ \\ a = 14 \\ \\ this \: was \: helping \: you[/tex]
Step-by-step explanation:
Okay so remember the BODMAS rule where u start with brackets right; Since we're proving that RHS =LHS ,we look at the side which is more complicated and solve it first.
RHS: -4a-(8a+1) =-169
-4a-8a-1=-169
-4a-8a= -169+1 ( N:B like terms)
-12a= -168
-12a/-12= -168/-12
a= 14
Then go back to the original equation and subtitute .
where u see a u put the value u calculated.
-4a-(8a+1)=-169
-4(14)-(8(14)+1)= -169
-169= -169 and u DONE!!
Joan joined her school's band. She bought a viola for $72.21, and a song book
which was $7.25 with a $100 bill. How much change was Joan given?
Hello :D
To do this you need to add the cost of the violin and the song book.
$72.21 + $7.25 = $79.46
$100 - $79.46 = $20.54
The answer is $20.54. I hope this helps :)
Find the x- and y-intercepts of each line and write the equation in standard form.
y=-4/3x+6
Answer:
Standard form: [tex]4x + 3y = 18[/tex]
x-intercept: [tex](\frac{9}{2} ,0)[/tex]
y-intercept: [tex](0,6)[/tex]
Graphed:
Pls answer these questions
Step-by-step explanation:
Objective; Translating points
A translation is when we moving figures and points. We can represent a transformation algebraically and geometrically.
Algebracially:
[tex](x + h)[/tex]
where h is the amount of units we move right or left
and
[tex](y + k)[/tex]
where k is the amount of units we move up or down
For 1. We are asked to translate the figure 3 units up and 7 units to the left.
7 units to the left is the same as subtracting 7 . from x valyes. and 3 units up is is same as adding 3 units to the y values, so subtract 7 from every x coovalues. and add 3 to every y value. is
Our new coordinates
E is (-5,3) F is (-2,4) G is (-3,5) H is (-5,5).
2. 6 units right and 8 units up is basically add 6 to every x value and add 8 to every y value.
So our new coordinates is
T' (1,3)
U' (4,3)
V'(4,5)
W'(1,5)
Find the distance between the points (
–
18,4) and (
–
18,
–
20).
Answer:
(-18,4) is 16 units below (-18,20). hope this helps
Step-by-step explanation:
- Zombie
3 divided by 45 I need help I stink at division
Answer:45 divided by 3 is 15
Step-by-step explanation:
Answer:
its 15
I'm bad at explaning
what is -9/14 + 2/7 as a fraction in simplest form
Answer:
-5/14 (change 2/7 to 4/14 and it’ll help)
please help me quickly
Answer:
look we solve it without options
4 - 2x = 24
4 - 2x -4 = 24 -4
SO FIRSTLY SUBTRACT 4
-2x = 20
-2x /-2 = 20 /-2
SO DIVIDE BY -2
X = - 10
So analyse options and u will know that option b is correct :))
Solve each equation 3m-3/5=2m-1/2
Answer:
m= 1/10
Step-by-step explanation:
1. Move the terms so that will be 3m - 2m=-1/2 + 3/5
2. Subtract the m values so that will be 3m - 2m= 1 or m
3. Calculate the sum.
4. So the answer will be m= 1/10. M because we subtracted 2 from 3 which make us 1 so we say it m and 1/10 by doing 1/2 + 3/5.
Answer:
Step-by-step explanation:
3m - 3/5 = 2m - 1/2
3m - 2m = 3/5 - 1/2
m = 0.1
Write
3
_
6
in lowest terms.
Answer:
1/2
Step-by-step explanation:
3 is half of 6 so the smallest term would be 1/2.
evaluate x^2 for x=.5, 1, -1
Answer:
Step-by-step explanation:
5^2=.25
1^2=1
-1^2=-1
(6x^2-3)-(4x+7)
Help fast please!!
Answer:
6x^2-4x-10
Step-by-step explanation:
Do you need to show work?
Is Beryllium a gas, solid, or liquid? *
Answer:
solid
Step-by-step explanation:
solid..... ......!!!!!!!!
Answer:
beryllium is a solid substance
Step-by-step explanation:
beryllium solid at room temperatureHelp pleaseeeeeeeeeee
Answer:
3(x+5)
hope it helps you
X^3+2/3x^4-1/2x^2 integral
[tex] \frac{2 {x}^{5} }{15} + \frac{ {x}^{4} }{4} - \frac{ {x}^{3} }{6} + c[/tex]
simplified form =
[tex] \frac{ {x}^{3}(8 {x}^{2} + 15x - 10) }{60} + c[/tex]
To take a taxi, it costs $3.00 plus an additional $2.00 per mile traveled. You spend $20 on the taxi. How many miles did you go?
Answer: 8.5 miles
Step-by-step explanation:
Given information
Base fee = $3.00
Fee per mile = $2.00
Distance = x
Total money spend = $20
Set equation
3 + 2x = 20
Subtract 3 on both sides
3 + 2x - 3 = 20 - 3
2x = 17
Divide 2 on both sides
2x / 2 = 17 / 2
[tex]\boxed{x=8.5}[/tex]
Hope this helps!! :)
Please let me know if you have any questions