Answer:
a = 2.5, b = 1
Step-by-step explanation:
Given the 2 equations
4a = 5b + 5 → (1)
2a = 3b + 2 → (2)
Multiplying (2) by - 2 and adding the result to (1) will eliminate a
- 4a = - 6b - 4 → (3)
Add (1) and (3) term by term to eliminate a
0 = - b + 1 ( add b to both sides )
b = 1
Substitute b = 1 into either of the 2 equations and solve for a
Substituting into (2)
2a = 3(1) + 2 = 3 + 2 = 5 ( divide both sides by 2 )
a = 2.5
Answer:
a = 2.5
b = 1
Step-by-step explanation:
4a = 5b + 5 and 2a = 3b + 2
→ Multiply the second equation by 2
4a = 6b + 4
→ Subtract this new equation from the first one
0 = b - 1
→ Find b by adding 1 on both sides
b = 1
→ Substitute b into one of the equation
4a = ( 5 × 1 ) + 5
→ Simplify
4a = 10
→ Divide both sides by 4
a = 2.5
Identify the recursive formula for the sequence –3, 9, –27, 81, . . . .
Answer:
Hello,
Answer A
Step-by-step explanation:
[tex]a_n=(-3)*a_{n-1}\\a_1=-3\\Answer\ A[/tex]
Option A is correct -
[tex]f(n)=\left \{ {{f(1)=-3} \atop {f(n)=-3f(n-1)\;\;n > 1}} \right.[/tex]
We have a sequence : –3, 9, –27, 81, . . . .
We have to find the recursive formula for this sequence.
What is the formula to find the recursive of a Geometric sequence?The formula to find the recursive of geometric sequence is -
[tex]a_{n} =ra_{n-1} \;\;\;\;for\;n\geq 2[/tex]
We have the following sequence -
–3, 9, –27, 81, . . . .
First let's see if it is a geometric sequence or not. For a sequence to be a geometric sequence -
[tex]\frac{9}{-3} =\frac{-27}{9} =\frac{81}{-27}= -3=r[/tex]
Hence, it is a geometric sequence with r = -3.
Substituting the value of r in the formula of recursive, we get -
[tex]a_{n} = -3a_{n-1}[/tex] and [tex]a(1)=-3[/tex]
Hence, Option A is correct.
To solve more questions on finding the recursive of a sequence, visit the link below -
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HElp Please its Pre-Calculus Matrix
The determinant is C. -541.
Using a cofactor expansion along the first row:
[tex]\begin{vmatrix}-8&-4&-1\\1&7&-3\\8&9&9\end{vmatrix} = -8\begin{vmatrix}7&-3\\9&9\end{vmatrix} + 4\begin{vmatrix}1&-3\\8&9\end{vmatrix} - \begin{vmatrix}1&7\\8&9\end{vmatrix} \\\\= -8(7\times9-(-3)\times9) + 4(1\times9-(-3)\times8) - (1\times9-7\times8) \\\\ = -8(63+27) + 4(9+24) - (9-56)\\\\= \boxed{-541}[/tex]
Determine the probability (as a decimal rounded to the nearest hundredth) of a normal random variable with a mean of three and a standard deviation of four realizing a value that is strictly greater than 1.9
Answer:
Step-by-step explanation:
On a normal distribution table with z scores of 0 as the mean and the standard deviations going to the right and to the left, 1.9 on the normal curve where 3 is the mean falls at -.275 on the normal curve where 0 is the mean. I used the normal distribution z table for negative values to get that .39165 lies to the left of -.275, which means that 1 - .39165 of the data lies to the right.
The probability that the value is greater than 1.9 is .60835, or as a percentage, 60.835%.
The Bui family consists of 2 adults and 3 children. They spent $36 for zoo tickets. The equation 2x + 3y = 36 describes the cost for x adult tickets and y child tickets. Part of the equation is graphed below. What is the y-intercept?
On a coordinate plane, a line goes through points (6, 8) and (12, 4).
(0, 12)
(0, 18)
(12, 0)
(18, 0)
Answer: (0, 12)
Step-by-step explanation:
2x + 3y = 36
2(0) + 3y = 36
3y = 36
3/3 36\3
= 12
On edge
Answer:
a
Step-by-step explanation:
If a graph is a line, it will always have a domain of all real numbers.
True or False
Answer:
i think its true.
Step-by-step explanation:
Hope it helps!
the product of 2x and 3 is 138. find the number x
Answer:
x = 23
General Formulas and Concepts:
Pre-Algebra
Equality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
3(2x) = 138
Step 2: Solve for x
Simplify: 6x = 138[Division Property of Equality] Divide 6 on both sides: x = 23could you pls teach me this question
Answer:
if it's area the area would be the length of the diameter of the semi circle which is the height of the triangle multiplied by the base of the triangle to find the area of the triangle then to find the area of the circle would be pie multiplied by the diameter divided by two squared
[tex]\pi \ \times 7 {}^{2} [/tex]
then the total area would be the area of the triangle plus the area of the half circle
Solve inequality problem (urgent help please)
Answer:
B
Step-by-step explanation:
|3m-2|=>1
1 <= 3m-2 or 3m-2 <= -1
3 <= 3m or 3m <= 1
1 <= m or m <= (1/3)
How much is the bill for a person who uses 560 kwh in a month?
Answer:
An electric company calculates a person's monthly bill from the number of kilowatt-hours (kWh), x, used, x 200 The function b(ar) = { 0.102, 0.15(x - 200) +20, 200 determines the bill How much is the bill for a person who uses 800 kWh in a month?
Does anyone know the answer
Answer:
It's False Because Hypotenuse will be the longest side of leg here
Find the Segment.I need help ASAP
Answer:
Does the answer help you?
Answer:
x = 65 units
Step-by-step explanation:
Using the Altitude- on- Hypotenuse theorem
(leg of large triangle)² = (part of hypotenuse below it) × (whole hypotenuse), so
x² = 25 × (25 + 144) = 25 × 169 = 4225 ( take square root of both sides )
x = [tex]\sqrt{4225}[/tex] = 65 units
asnwer question in screenshot pls
It's not a typo that 0 is written twice.
==============================================================
Explanation:
This is considered a step function because it resembles steps or a staircase. The vertical pieces aren't drawn to allow it to remain a function (or else it fails the vertical line test). Also there should be open holes at each left endpoint.
Recall that any horizontal line has a slope of 0 due to the fact that the rise is 0
slope = rise/run
The rise takes care of the vertical change in position. But if the line doesn't go up or down, then rise = 0 leads to slope = 0.
In short, the slope of each horizontal portion is 0. It doesn't matter which sub-section you focus on.
This is why you'll type 0 into the first two boxes.
------------------
As for the remaining two boxes, you'll be looking where the graph is the highest and the lowest to determine the max and min y values respectively.
We see that y peaks at y = 4 at the very top. So you'll type 4 into the third box.
Furthermore, we see that the lowest part of the graph is when y = -3. Therefore, this is the minimum aka smallest y value and you'll type -3 into the fourth box.
Select the best real-world situation that can be represented by 12 + = 13.50. Group of answer choices Mary wants to buy flowers and perfume. She has $13.50 to spend, but has already spent $12 on perfume. How much does she have left to spend on flowers? Rachel earns $12 per hour. How long does it take her to earn $13.50? Jane has $13.50 to spend. How many roses can she buy if they are $12 each? Sarah has $12 in her checking account, but has written a check for $13.50. How much is she overdrawn?
Answer:
Mary wants to buy flowers and perfume. She has $13.50 to spend, but has already spent $12 on perfume. How much does she have left to spend on flowers?
Step-by-step explanation:
12 + c = 13.50
OpruonnA seems to be the best, hence, Breaking down in real world terms :
13.50 = total cost
Number of variables added to make up total cost = 2 ; this represents the cost of the 2 items purchased ; flowers and perfume
Cost of perfume = 12
Cost of flowers = c
Total cost of items = $13.50
ZABC and ZDEF are complementary angles.
What is the measure of x?
А,
С X = [?]°
549
D
B
Х
>F
Answer:
x = 36
Step-by-step explanation:
Complementary angles add to 90 degrees
54+x = 90
x = 90-54
x = 36
Answer:
IF ABC and DEF are complementary then ABC + DEF = 90°
Therefore, DEF = 90° -ABC
Since DEF = 54° and DEF = x then
x = 90° -54°
x = 36°
Step-by-step explanation:
PLZ HELP!! ASAP!! IT"S FROM KHAN!! NO FILES!!
Answer:
The slope is (1/4)
Step-by-step explanation:
Slope is calculated for the points (5,6) and (1,5). Slope is (6-5)/(5-1)=1/4
Answer: m = 10/3
Step-by-step explanation:
(0.3, 1) (0.6, 2)
(2-1)/(0.6-0.3)=
1/0.3 = 10/3
graph the line that passes through the points (-3,-7) and (-2,-7) and determine the equation of the line
Answer:
y = -7
Step-by-step explanation:
y2 - y1 / x2 - x1
-7 - (-7) / -2 - (-3)
0/1
= 0
y = 0x + b
-7 = 0(-2) + b
-7 = 0 + b
-7 = b
Two supplementary angles measure (7x + 11) and (14x + 1)º. What is
the measure of the smaller angle?
(1) 40.5°
(2) 67°
(3) 108°
(4) 123°
Answer:
67 degrees (Answer 2)
Step-by-step explanation:
These two angles must sum up to 180 degreess because they are supplementary. Then:
7x + 11 + 14x + 1 = 180, or
21x + 12 = 180, or
21x = 168
Solving for x, we divide both sides by 21. This results in x = 8.
The measure of the smaller angle is 7x + 11, which here is 7(8) + 11 = 67 degrees (Answer 2).
H = 5 ft
Which is the formula
for the volume
of a cylinder?
A. V = a^2 + b^2 + c^2
B. V = (area of the base)(radius)
C. V = (area of the base)(height)
Answer: C. V = (area of the base)(height)
This applies to any prism. A cylinder is effectively a prism but the base is a circle rather than a polygon.
The cylindrical volume formula you may be more familiar with is
V = pi*r^2*h
note how the pi*r^2 portion is the area of the circular base. So we can replace the pi*r^2 with "area of the base" to end up with choice C.
Find the value of the variable (x) to the nearest tenth.
Answer:
I think its ten
Step-by-step explanation:
Out of a class of 150 one third opted for Germany two fifth for Italian and rest for French. find how many opted for French
Answer:
40
Step-by-step explanation:
Total is 150
Germany=1/3 *150 = 50
Italian= 2/5 * 150 = 60
Total - Germany- Italian= French
150 - 50 -60= 40
What are the simplest forms for red, blue, and green line
Answer:
Red line: y=-1/2x+1 Blue line: y=-1/3x-2 Green line: y=x
Step-by-step explanation:
f(x) red line m=-1/2 b=1
g(x) blue line m=-1/3 b=-2
h(x) green line m=1 b=0
Out of a sample of 327 Americans, 245 said they had no interest in professional soccer.
(Data simulated from Carey & Kereslidze, 2007) A 95% confidence interval for the
proportion of Americans who have no interest in professional soccer is 0.70 to 0.80.
Suppose that another sample of 784 Americans was taken and asked the same question.
How would the width of the new confidence interval compare to the width of the
confidence interval based on the 327 women in the armed forces?
The width of the confidence interval based on the 784 women would be narrower than the
confidence interval based on the 327 women.
The width of the confidence interval based on the 784 women would be wider than the
confidence interval based on the 327 women.
The width of the confidence interval based on the 784 women would be the same as the
confidence interval based on the 327 women.
O No answer text provided.
Answer:
The width of the confidence interval based on the 784 women would be narrower than the confidence interval based on the 327 women.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].
The margin of error is:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
From this, we have that the margin of error, and also the width, is inversely proportional to the sample size, that is, a larger sample size leads to a smaller margin of error and a narrower interval.
How would the width of the new confidence interval compare to the width of the confidence interval based on the 327 women in the armed forces?
New interval: 784
Old interval: 327
Sample size increased, so the new interval will be narrower, and the correct answer is:
The width of the confidence interval based on the 784 women would be narrower than the confidence interval based on the 327 women.
an agent receives a commission of d% of the selling price of a house. if the commission amounted to 600, the selling price, in dollars was
Need help brainlist and will mark brainlist
Answer:
Selling price is $60000/d
Step-by-step explanation:
Let the selling price be say $x. Now the commission is d% of x, that is (d/100)*x=600. x=60000/d
Commission of d% amounts to 600 the selling price in dollers will be
Selling price = 600 * [tex]\frac{100}{d}[/tex] = 6000/d $
What are Selling price, Cost price, Profit &Loss ?The price of an item which i have sold to someone is my selling price and for the person it is his/her cost price.
When my selling price is more than my cost price I make profit.
When my selling price is less than my cost price i make loss.
In the given question d% of commision amounts to 600$. Let us assume d% = 10 % for easy understanding.
[tex]\frac{percentage}{100}[/tex] * selling price = 600
[tex]\frac{d}{100}[/tex] * selling price = 600
Selling price = 600 * [tex]\frac{100}{d}[/tex] = 6000/d $
or, 60000/10 = 6000 $
Learn more about Profit and Loss here :
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Hotdogs come in packages of 10, while rolls come in either 8 or 12. What is the smallest number of packages of each you have to buy in order to have the same number of hotdogs and rolls?
Please explain the answer.
if the rolls come in 8
then we check which multiples 8 and 10 have in common which is 40
8,16,24,32,40
10,20,30,40
which is 5 packages of rolls and 4 pack of hot dogs
if the rolls are 12
we check the multiples which they have in common
12,24,36,48,60
10,20,30,40,50,60
which is 5 packages of rolls and 6 pack of hot dogs
Pls mark as brainliest
Is this a function or no ?
Fiona y sus amigas fueron a una tienda de batidos. Pidieron tres batidos de fresa y dos batidos de proteínas por un total de $ 24,00. La semana pasada pidieron un batido de fresa y cuatro batidos de proteínas por un total de $ 25,50. El sistema que representa sus compras se encuentra a continuación. x + 4 y = 25,50 3 x + 2 y = 24,00 ¿Cuál es el precio de un batido de proteínas? $ 3,75 $ 4.50 $ 4.95 $ 5.25
Answer:
Un batido de proteínas cuesta $ 5,25.
Step-by-step explanation:
El sistema de ecuaciones descrito al final del enunciado coincide con lo descrito al comienzo del mismo, de modo que podemos concentraron casi exclusivamente en la resolución del sistema en cuestión, la cual se describe a continuación:
Este es el sistema a resolver:
[tex]x + 4\cdot y = 25,50[/tex] (1)
[tex]3\cdot x + 2\cdot y = 24,00[/tex] (2)
Donde [tex]x[/tex] es el coste de un batido de fresa y [tex]y[/tex] corresponde al coste de un batido de proteínas:
1) Despejamos [tex]x[/tex] en (1):
[tex]x = 25,50 - 4\cdot y[/tex]
2) Eliminamos [tex]x[/tex] en (2):
[tex]3\cdot (25,50 - 4\cdot y) + 2\cdot y = 24,00[/tex]
[tex]76,50 - 12\cdot y +2\cdot y = 24,00[/tex]
3) Simplificamos y despejamos [tex]y[/tex]:
[tex]10\cdot y = 52,50[/tex]
[tex]y = 5,25[/tex]
Un batido de proteínas cuesta $ 5,25.
Solve for X. Geometry
Answer: " x = 10 " .
Step-by-step explanation:
Note the top "line segment" ; and the bottom "line"; have equal measurements:
The length of the top line segment is:
" (2x − 8) + 5 ."
The length of the bottom line is: " (x + 7) " ;
__________
To solve for "x" ;
___________
(2x − 8) + 5 = (x + 7) ;
Rewrite as:
2x − 8 + 5 = x + 7 ;
Note: −8 + 5 = -3 ;
_______________
Rewrite the equation as:
2x − 3 = x + 7 ;
We can subtract "x" from each side of the equation;
and add "3" to each side of the equation:
2x − 3 − x + 3 = x + 7 − x + 3 ;
_______________
to get:
_______________
x = 10 .
_______________
Let us check our answer
(2x − 8) + 5 =? (x + 7) ;
________
(2*10 − 8) + 5 =? (10 + 7) ? ;
(20 − 8) + 5 =? 17 ?
12 + 5 =? 17 ? Yes!
_______________
Best wishes in your academic pursuits!
_______________
For the system of equations:
-4s + 2t = -5
8s - 6t=7
What is the value of s?
Answer:
s = 2
Step-by-step explanation:
I'll be using the substitution method.
Find the slope of the line containing the points (-3, -6) and (4, 7).
Answer:
[tex]\frac{13}{7}[/tex]
Step-by-step explanation:
→ State the slope formula
( y₂ - y₁ ) ÷ ( x₂ - x₁ )
→ Substitute in the values
( 7 - -6 ) ÷ ( 4 - -3 )
→ Simplify
[tex]\frac{13}{7}[/tex]
Answer:
slope = [tex]\frac{13}{7}[/tex]
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 3, - 6) and (x₂, y₂ ) = (4, 7)
m = [tex]\frac{7-(-6)}{4-(-3)}[/tex] = [tex]\frac{7+6}{4+3}[/tex] = [tex]\frac{13}{7}[/tex]
How much should 5x³+3x²-2x+1 be increased to get 6x² +7
Answer:
-5x³ + 3x³ + 2x + 6
Step-by-step explanation:
if that is truly the complete problem description, then the only possible answer I can think of, that makes any sense :
what do I need to add to 5x³+3x²-2x+1 to get 6x²+7 ?
the answer is
6x²+7 - (5x³+3x²-2x+1) = 6x²+7-5x³-3x²+2x-1 =
= -5x³ + 3x³ + 2x + 6
