Answer:
x=65
Step-by-step explanation:
Mable earns $180 in 18 hours. at this rate how many dollars will she earn in 30 hours
Step-by-step explanation:
18 hours = $180
1 hour = 180/18 = $10
so 30 hours = 30 × 10 = $300
please give me a brainliest answer
The length of a rectangle is 8 cm more then 4 times the with. If the perimeter of the rectangle is 46 cm, what are the dimensions
Answer:
15
Step-by-step explanation:
let the breadth be x
let the length be x+8
perimeter of rectangle=2 (length +breadth)
so, 2 (x+x+8)=44cm
=2 (2x+8)=44
=4x + 16=44
=4x= 44-16
=4x= 28
=x = 28÷4
=x= 7
therefore,
breadth is 7 (x)
length is 7+8 (x+8)
=15
Q is a degree 5 polynomial that passes through the origin, has zeros i and 7 - i, and q(-1)= -520. find the equation for q
Using the factor theorem, the equation for q is:
[tex]q(x) = 4(x^5 - 14x^4 + 51x^3 - 14x^2 + 50x)[/tex]
The Factor Theorem states that a polynomial function with roots [tex]x_1, x_2, ..., x_n[/tex] is given by:
[tex]f(x) = a(x - x_1)(x - x_2)...(x - x_n)[/tex]
In which a is the leading coefficient.
In this problem:
Passes through the origin, so x = 0 is a zero, that is [tex]x_1 = 0[/tex].x = i is a zero, and thus, it's conjugate also is, that is, x = -i, hence [tex]x_2 = i, x_3 = -i[/tex]x = 7 - i is a zero, and thus, it's conjugate also is, that is, x = 7 + i, hence [tex]x_4 = 7 - i, x_3 = 7 + i[/tex]Then, the equation is:
[tex]q(x) = a(x - 0)(x - i)(x + i)(x - 7 + i)(x - 7 - i)[/tex]
[tex]q(x) = ax(x^2 - i^2)((x-7)^2 - i^2)[/tex]
Considering that [tex]i^2 = -1[/tex]
[tex]q(x) = ax(x^2 + 1)(x^2 - 14x + 50)[/tex]
[tex]q(x) = ax(x^4 - 14x^3 + 51x^2 - 14x + 50)[/tex]
[tex]q(x) = a(x^5 - 14x^4 + 51x^3 - 14x^2 + 50x)[/tex]
q(-1) = -520 means that when [tex]x = -1, q = -520[/tex], and this is used to find a.
[tex]q(x) = a(x^5 - 14x^4 + 51x^3 - 14x^2 + 50x)[/tex]
[tex]-520 = a(-1 - 14 - 51 - 14 - 50)[/tex]
[tex]130a = 520[/tex]
[tex]a = \frac{520}{130}[/tex]
[tex]a = 4[/tex]
Hence, the equation is:
[tex]q(x) = 4(x^5 - 14x^4 + 51x^3 - 14x^2 + 50x)[/tex]
A similar problem is given at https://brainly.com/question/24380382
Which of the following represents the distance between x and y on a number line?
A. (x + y)
B. |y - x|
C. (y – x)
D. |x+y|
E. yx
PLSSS HELP THIS IS HARD ANYONE
Answer:
Option D
Step-by-step explanation:
f(-1,3) = (3-2 , 2*(-1) = (1, -2)
f(-3,5) = (5-2 , 2*(-3) ) = (3, -6)
f(-1,0) = (0-2 , 2*(-1) = (-2, -2)
rewrite the equation in slope-intercept form y + 4 = -2 (x-5)
Answer:
y = -2x + 6
Step-by-step explanation:
Slope intercept form: y = mx +b
y + 4 = -2(x - 5)
y + 4 = -2x + 10
y = -2x + 10 - 4
y = -2x + 6
write an equation of the line that passes through the point P(2, 5 ) that is parallel to y=4x+1
bindus choir class is performing a concert. she wants to buy as many tickets as she can afford. if tickets cost $3.25 each and she has $14.25 to spend, how many tickets can she buy?
Answer:
4 tickets
Step-by-step explanation:
1 ticket is $3.25
2 ticket is $6.5
3 ticket is $9.75
4 ticket is $13
5 tickets is over and makes $16.25
Show that the expression 1.50(10-r) is equivalent to 15-1.50r
Answer:
third answer
Step-by-step explanation:
Pls help will mark the brainiest
Identify the factors of the terms of the expression.
6 + 2a + 15b the factors of the terms are?
Given :
6 + 2a + 15bTo find :-
The factors of the terms of the expression.Solution :-
First term :-
6 Factors = 1 , 2,3,6Second term :-
2a Factors = a , 1 , 2Third term :-
15bb,1,3,5,15If the heights of a population of men are approximately Normally distributed, and the middle 99.7% have heights between 5'0" and 7'0", what is the standard deviation of the heights of the population?
a. 1"
b. 12"
c. 6"
d. 4"
e. 3"
Answer:
4 inches
Step-by-step explanation:
the middle number is 6 and the distance from 99.7 from the middle is 3 standard deviations. 12/3 =4
The value of 99.7% is the closest to the percentage of these heights that is within 3 standard deviations of the mean. The correct option is e.
What is the empirical rule?If your distribution follows a normal distribution, the standard deviation and mean can tell you where the majority of the data are.
It is given that the heights of a large population of ostriches are normally distributed. The percentage of these heights is within 3 standard deviations of the mean.
As we know from the empirical rule:
It is the rule of 68-95-99.7.
From the data given in the question: The height of a large population of ostriches is normally distributed.
X ~ (u, б²)
Normal distribution.
P{u - 3б < X < u + 3б}
From the distribution table:
P{u - 3б < X < u + 3б} = 99.7%
Thus, the value of 99.7% is the closest to the percentage of these heights that is within 3 standard deviations of the mean.
Learn more about the empirical rule here:
brainly.com/question/5440679
#SPJ2
If you deposit $400 into an account that offers a 5% interest rate. How much interest will you earn after 1 year?
Answer: The answer is $20
Multiply 400 by .05 or 5%.
If you wanna know 6 years it would be 536 usd
Explanation:
This would be an compound interest. Meaning that your gain every year would increase exponentially.
The equation to calculate this would be: Kn = K0⋅
(1+p100)n Kn is your savings after the period nK0 is your starting deposit p is the percentage n is the period of interest for your example we would have.
Kn=400⋅
(1+5100)6
Can someone answer this for me
Sachin used synthetic division to divide a polynomial, p(x), by x + 5 and found that there was no remainder. What does this tell Sachin about how p(x) and x + 5 are related?
A. x + 5 is a factor of p(x)
B. p(x) divided by x + 5 is 0
C. x + 5 is not a factor of p(x)
D. x + 5 cannot be divided evenly into p(x)
Answer:
A
Step-by-step explanation:
The x + 5 is a factor of p(x) this represents that p(x) and x + 5 are related.
Given that,
Let us assume polynomial be p(x), and it is divided by x + 5.There is no remainder.Based on the above information, we can say that
x + 5 represent the factor of p(x).
Therefore we can conclude that the first option is correct.
Learn more: brainly.com/question/24169758
967 times 24 equals?
Answer:
23,208 is the final answer.
Hope this helps!
Answer:
23,208
Hopefully this is correct
A = {1, 3, 5, 7, 9}
B = {2, 4, 6, 8, 10}
C = {1, 5, 6, 7, 9}
A ∪ (B ∩ C) =
Answer:
Answer is (1,3,5,6,7,9)
Find the missing angle measure.
Answer:
83
Step-by-step explanation:
p + 7 /8 = 18/ 12 what does p equal
Answer:
P = 5/8 or 15/24
Step-by-step explanation:
p = 18/12 - 7/8
p = 36/24 - 21/24
p = 15/24 ( Simplify )
p = 5/8
Answer:
Step-by-step explanation:
[tex]p+\dfrac{7}{8}=\dfrac{18}{12}\\\\p=\dfrac{18}{12}-\dfrac{7}{8}\\\\\\LCM \ of 8 \ and \ 12 \ is \ 24\\\\p=\dfrac{18*2}{12*2}-\dfrac{7*3}{8*3}\\\\p=\dfrac{36}{24}-\dfrac{21}{24}\\\\p=\dfrac{15}{24}[/tex]
[tex]p=\dfrac{5}{8}[/tex]
a new car increased in price from 78200 to 136850 what is the percentage increase
Answer:
The percentage increase is by 1.75
Step-by-step explanation:
78,200 x 1.75 = 136,850
-9 + ( -16) =
( -4) – (-6) + (-5) – (8) =
( 3) – (-9) + (-3) – (-2) =
- ( 5) – (-7) + (-8) =
- ( -8) – (-9) + (-4) – (-1) =
( -5) – (-11) + (10) – (8) =
( -1) – (-2) + (-3) – (-6) =
( -4) – ( 4) – (6) + (-5) – (-8) =
(-6) + (-5) – (-8) =
Answer:
-9 + ( -16) = -25
( -4) – (-6) + (-5) – (8) =-11
( 3) – (-9) + (-3) – (-2) =11
- ( 5) – (-7) + (-8) =-6
- ( -8) – (-9) + (-4) – (-1) =14
( -5) – (-11) + (10) – (8) =8
( -1) – (-2) + (-3) – (-6) =4
( -4) – ( 4) – (6) + (-5) – (-8) =-11
(-6) + (-5) – (-8) =-3
Step-by-step explanation:
Hope it helps
Answers:
-9 + ( -16) = -25
( -4) – (-6) + (-5) – (8) = -11
( 3) – (-9) + (-3) – (-2) = 11
- ( 5) – (-7) + (-8) = -6
- ( -8) – (-9) + (-4) – (-1) = 14
( -5) – (-11) + (10) – (8) = 8
( -1) – (-2) + (-3) – (-6) = 4
( -4) – ( 4) – (6) + (-5) – (-8) = -11
(-6) + (-5) – (-8) = -3
Question:What is the equations of this function?
Plz help will give brainiest
Select all statements that are true about the triangles.
Answer:
D and E
Step-by-step explanation:
D) Δ ABC , ΔDCB
AB = DC
BC = CB
AC = DB
Side Side Side congruent.
E)Δ ABC , ΔDCB
AB = DC
∠D = ∠A
AC = DB
Side Angle Side congruent.
Answer:
E
Step-by-step explanation:
When we write that 2 triangles are congruent we have to write the letters in order of their corresponding sides so ΔABC has the sides in order
AB, then BC, and then CA
the corresponding sides of the other triangle are
DC, then CB, then BD so the other triangle should be Δ DCB
because (AB≅DC, BC≅CB, CA≅BD)
In this case we eliminate the A,B,C answers.
D is also not correct because we do not know if <ABC is congruent with <DCB
E is correct because we are given the sides AB≅DC, and CA≅BD and we know that BC≅CB because of the reflexive property (a line segment is congruent with itself).
We have 3 ≅sides so we can use the Side-Side-Side Congruence Theorem
F is not correct because we have enough information.
Ed is 7 years older than Ted. Ed's age is also 3/2 times Ted's age. How old areTed and Ed.
What is the slope of the line on the graph?
Enter your answer in the box.
No links Nothing unrelated
Answer:
6
Step-by-step explanation:
(y1-y2)/(x1-x2) = (-1-5)/(0-1) = -6/-1 = 6
Tara brought 30 books at a yard sale. She now has 220 books. Which equation can be solved to find b, the number of the books had before the yard sale?
Answer:
b=220-30
Step-by-step explanation:
factor the following equation
1263 + 14b2 + 30b + 35
Answer:
Step-by-step explanation:
2 ( 7 b 2 + 15 b + 649 )
Answer:
1298+28b+30b
1298+58b
2(649+29b)
Which of these is not a factor of 4x2? x2 2.
Solve the system of equations using the substitution method.
x+y=6
x = 2y
Answer:
x=4, y=2
Step-by-step explanation:
if x=2y just put 2y into the spot where x is for x+y=6
x+y=6
(2y) + y = 6
3y = 6
y = 2
now that I know y I can then replace y with the number 2
x= 2y
x = 2(2)
x= 4
Find an equation in point-slope form for the line having the slope m= - 4 and containing the point (4,5).
The equation in point-slope form is
(Use integers or fractions for any numbers in the equation.)
Step-by-step explanation:
The point-slope form of a line is (y - y₁) = m(x - x₁)
Since we know the slope (m) is -4
And the point ( x₁, y₁ ) is (4, 5)
Then we can just plug these into the equation above:
⇒ y - 5 = - 4 (x - 4)
I often use Desmos to check my answer. As seen below, the equation does pass through the point (4, 5).