Answer:
14, 15, 16
Step-by-step explanation:
n + n+1 + n + 2 = 45
3n + 3 = 45
3n = 42
n = 14
14, 15, 16
Solve (x 3)2 (x 3) â€"" 2 = 0. Let u =.
The solution to the original equation will be -2 and -6
Given the function [tex](x + 3)^2 + (x + 3) - 2 = 0.[/tex]
If u = x + 3, the function in terms of "u" will be;
[tex]u^2+u-2=0[/tex]
Factorize the resulting equation as shown:
[tex]u^2+u-2=0\\u^2+2u-u-2=0\\u(u+2)-1(u+2)=0\\(u-1)(u+3) = 0\\u=1 \ and \ -3[/tex]
Since x + 3 = u
x = u - 3
If u = 1
x = 1 - 3 = -2
If u = -3
x = -3 - 3 = -6
Hence the solution to the original equation will be -2 and -6
Correct question:
Solve (x + 3)^2 + (x + 3) – 2 = 0. Let u = Rewrite the equation in terms of u. (u2 + 3) + u – 2 = 0 u2 + u – 2 = 0 (u2 + 9) + u – 2 = 0 u2 + u + 1 = 0 Factor the equation. What are the solutions of the original equation?
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Check
Match the solution set given in inequality notation with the solution set given in interval notation.
17,88
(-0, 7.8)
7.8
(7.8,00)
> 7.8
[7.8,00)
V
7.8
(-0, 7.8)
The Matching of the inequality is
x ≤ 7.8 -> (-∞,7.8]
x < 7.8 -> (-∞,7.8).
x > 7.8 -> (7.8,∞)
x ≥ 7.8 -> [7.8,∞).
What is Inequality?Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.
1. x ≤ 7.8
Here the value of is less than equal to 7.8 which means starting from -∞ to 7.8
Thus, the interval is (-∞,7.8]
2. x < 7.8
Here the value of is less than 7.8 which means starting from -∞ to less than 7.8.
Thus, the interval is (-∞,7.8).
3. x > 7.8
Here the value of is greater than 7.8 which means starting from 7.9 to ∞.
Thus, the interval is (7.8,∞)
4. x ≥ 7.8
Here the value of is greater than equal to 7.8 which means starting from 7.8 to ∞.
Thus, the interval is [7.8,∞).
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Pleaseeeee helpppp asapp
can you please answer this question asap
x-1/3-x+3/4=-1
The value of x is [tex]\mathbf{8\dfrac{1}{3}}[/tex]
The objective of this question is to evaluate and determine the value of x. The fraction given in the question consists of algebraic expressions and, we need to solve it through following process;
∴
[tex]\mathbf{\dfrac{x-1}{3-x} + \dfrac{3}{4}=-1 }[/tex]
Collect like terms
[tex]\mathbf{(\dfrac{x-1}{3-x})=-1 -\dfrac{3}{4}}}[/tex]
[tex]\mathbf{(\dfrac{x-1}{3-x})=-(\dfrac{7}{4}})}[/tex]
-4(x - 1) = -7(3 -x)
-4x + 4 = -21 + 7x
4x -7x = -21 - 4
-3x = - 25
[tex]\mathbf{x= \dfrac{25}{3}}[/tex]
[tex]\mathbf{x= 8\dfrac{1}{3}}[/tex]
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What number is halfway between 6.7 and 11.9
Answer:
2.05
Step-by-step explanation:
To find the Median value, we begin by sorting Or arranging our numbers In ascending Or descending order.
-8.8,-5.7,-2.6,0.5,3.6,6.7,9.8,11.9
Having an even (8) number of values, the median is the midway point between the two middle numbers.
In our case the two middle numbers are 0.5 and 3.6
(0.5+3.6)/2
Median=2.05 (In words: two && 5/100)
A store manager is marking down microscopes from $1,000 to $620. What is the discount, as
a percentage?
Under his cell phone plan, Nathaniel pays a flat cost of $41 per month and $4 per gigabyte. He wants to keep his bill at $45.80 per month. Write and solve an equation which can be used to determine 2, the number of gigabytes of data Nathaniel can use while staying within his budget.
Answer:
equation: 41+4x=45.80
answer: x=1.20
Step-by-step explanation:
The equation is $45.80 = $41 + ($4 × x) which can be used to determine the number of gigabytes of data Nathaniel can use while staying within his budget. And Nathaniel can use up to 1.2 gigabytes of data while staying within his budget of $45.80 per month.
Let's denote the number of gigabytes of data Nathaniel can use as x.
Then the equation representing his cell phone bill can be set up as:
Total cost = Flat cost + (Cost per gigabyte × Number of gigabytes)
$45.80 = $41 + ($4 × x)
Now, we can solve for x:
$4 × x = $45.80 - $41
$4 × x = $4.80
x = $4.80 / $4
x = 1.2
So, Nathaniel can use up to 1.2 gigabytes of data while staying within his budget of $45.80 per month.
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What is this in terms of joules?
The Bill of Rights was ___.
A) all of these
B) demanded by those considering ratification of the Constitution
C) none of these
D)the first ten amendments to the Constitution
E) added by the first Congress after the ratification of the Constitution
Answer: The answer is D, the first ten amendments to the constitution.
hi i need help with this
Answer:
15 in
Step-by-step explanation:
d^2 = w^2 + l^2
25^2 = 20^2 + l^2
l^2 = 225
l = 15
Which linear inequality is represented by the graph?
6-
-5
y s 2x + 4
oys 2x + 3
O y2+x+3
-3
O yz 2x + 3
Please help!!
Answer: y ≤ (1/2)x + 3
Step-by-step explanation:
The slope is 1/2 and the y-intercept is 3.
The linear inequality represented by the graph is [tex]y \le \frac 12x + 3[/tex]
From the graph, we have the following highlights:
The inequality has a closed line, and the bottom part is shadedThe slope of the line is 1/2The y-intercept is 3The first highlight implies that the inequality sign to use is ≤
The slope (m) is calculated as:
[tex]m = \frac{y_2 -y_1}{x_2 -x_1}[/tex]
So, we have:
[tex]m = \frac{3 -4}{0-2}[/tex]
[tex]m = \frac{-1}{-2}[/tex]
[tex]m = \frac{1}{2}[/tex]
The y-intercept (b) is where the line crosses the y-axis:
b = 3
The linear inequality is represented as:
[tex]y \le mx + b[/tex]
So, we have:
[tex]y \le \frac 12x + 3[/tex]
Hence, the linear inequality is [tex]y \le \frac 12x + 3[/tex]
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mandie is making 15 cups of fruit salad what is the ratio of grapes to blueberries should she use? 6:9 , 8:7 , 12:3 , 10:5
Answer:
god help you
Step-by-step explanation:
i think we should add all the ratio together.......
Evaluate -(2-6)(23).
O A. -8
B.
1/8
C. 8
O D.
- 1 / 8
Answer:
92
Step-by-step explanation:
- ( 2 - 6 )
= - ( - 4 )
= 4
- ( 2 - 6 ) ( 23 )
= 4 x 23
= 92
The evaluation of - (2- 6) ( 23) is 92
In mathematics, evaluation is a systematic method used in solving expressions. From the given information, we need to first solve the expressions in the brackets before multiplying them together.
From the given information:
= - ( 2 - 6) (23)
= - ( -4) (23)
= 4 × 23
= 92
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What is the solution to the 2nd degree equation below?x² + 2x + 4 = 0
Answer:
x = (−2 ± √−12)/2
Step-by-step explanation:
Using the quadratic formula (search it up if you don't know what it is, but it's basically the first thing in the pic):
What is the range of the relation?
Question 9 options:
{–4, –2,–1, 2}
{–4, 4}
{–3, –2, 0, 2}
{–4, –2, –1, 0, –2}
Answer:
{- 3, - 2, 0, 2 }
Step-by-step explanation:
The range is the y- coordinates of the points
(- 4, - 3 ) , (- 1, - 2 ) , (- 2, 0 ) , (0, 2 )
The y- coordinates are - 3, - 2, 0, 2
Then the range is { - 3, - 2, 0, 2 }
PLEASEEEEE HELPPPP ASAPPP
Answer:
40.5°
Step-by-step explanation:
The relevant trig relation is ...
Tan = Opposite/Adjacent
In this triangle, that means ...
tan(x°) = 4.7/5.5
The angle is found using the inverse function:
x° = arctan(4.7/5.5) ≈ 40.5°
What is the range of the function y = x^2?
Ox>0
O all real numbers
Oy>0
Answer:
The range is y≥0
Step-by-step explanation:
The shape of this graph is a parabola
You may see this by using the Desmos calculator and typing y=x^2 if you would like to visualize.
(a) The function y = x^2 simply takes whatever number you feed it (x) and outputs x squared.
For example
y = (2)^2=4
y = (3)^2 = 9
(b) To graph x^2 simply make a table of values and plug in 0 -> however high you would like to go ( usually to 5 or so is fine but you could go to infinity).
Example
y = x^2
Y | X
________
2 | 4
3 | 9
4 | 16
In this case the function's range is y≥0 because all y values will be greater than or equal to 0.
If you are wanting to learn how to specifically graph this you can look up (Graphing y = x²) if my quick graphing explanation back at mark (b) does not help.
What is 10/11x11/12 in the fraction form
Answer:
83/100
Step-by-step explanation:
10/11x11/12 is 0.8333333....
what percent increase is 1/3 to 1/6
Answer:
50% increase
Step-by-step explanation:
half of 6 is 3 thus 50%, and vise versa.
Solve w + 1∕4 < 7∕8.
Question 10 options:
A)
w < 5∕8
B)
w = 5∕8
C)
w > 5∕8
D)
w ≤ 5∕8
Answer:
w < 5/8
Step-by-step explanation:
a train goes 25 kilometers in 45 minutes, how fast would it go in 27 minutes?
Answer:
15km
Step-by-step explanation:
45mins = 25km
1 min =25/45
=5/9
27mins=5/9×27
=15km
if it's 11:24 what time will it be in 49 minutes
Hi,
if it's 11:24, it wil be 12:13
✅(◠‿◕)
509^6*78^8
HOW R YA'LL DOIN
Answer: Great U?
Have a great Day/Night
question 4 algebra maths
Answer:
30
Step-by-step explanation:
4(3)^2 +(3*-2)
4*9-6=36-6=30
Answer:
30
Step-by-step explanation:
Substitute x = 3 and y = - 2 into the expression
4x² + xy
= 4(3)² + 3(- 2)
= 4(9) - 6
= 36 - 6
= 30
Use the function below to find f(-2)
F(x)=3x
Answer:
B
Step-by-step explanation:
Using the rule of exponents
[tex]a^{-m}[/tex] = [tex]\frac{1}{a^{m} }[/tex]
Then
f(- 2) = [tex]3^{-2}[/tex] = [tex]\frac{1}{3^2}[/tex] = [tex]\frac{1}{9}[/tex] → B
The bottom of a rectangular swimming pool has a perimeter of 62 meters. Its area is 220 square meters. What are the dimensions of the pool?
_____meters by ____ meters
PLEASEE HELPP MEE PLEASEEEE!
Half the perimeter is the length + the width
62/2 = 31
Area = length x width
16 + 15 = 31, 15 x 16 = 240
17 + 14 = 31, 17 x 14 = 238
20 + 11 = 31, 20 x 11 = 220
Answer: 20 meters x 11 meters
PLEASE HELP
Jed has 352 stickers in his sticker collection. He wants
to put them in an album. The album holds 8 stickers per
page. How many pages will Jed need? *Show your work
for full credit using any method to solve the problem.
3. Solve the equation shown below for x.
6(x - 1) = 42
Answer:
Answer:
x=8
Step-by-step explanation:
open the brackets to be
6x-6=42
then collect like tems
6x=48
x=8
How many solutions does 9 - 5x = 8 - 3x - 1 -2x have?
A. One
B. Two
C. Infinite
D. Zero
Answer:
D) Zero solutions
Step-by-step explanation:
9 - 5x = 8 - 3x - 1 - 2x
9 - 5x = 7 - 5x
9 = 7
Zero solutions
i took the quiz its D. Zero
Joyce's mother buys some shares of Company A on Day 0.
On Day 7, the share price of Company A is $4.60.
If she sells all her shares of Company A and A buys 2000 shares of Company B on Day 7, she would receive $7400.
On Day 12, the share price of Company A is $4.80 and the share price of Company B is $0.50 less than that on Day 7.
If she sells all her shares of Company A and buys 5000 shares of Company B on Day 12, she would have to pay $5800. Find
(i) the number of shares of Company A Joyce's mother has,
(ii) the share price of Company B on Day 12.
Please help aNd thank you!!!
Answer:
(i) 4000
(ii) $5.00
Step-by-step explanation:
Let no. of shares of Company A be X
Let share price of Company B on Day 7 be $y
Share price of Company B on Day 12 = $(y-0.50)
(i)
Consider Day 7:
4.60x - 2000y = 7400................ (1)
Consider Day 12:
4.80x - 5000(y-0.50) = -5800
4.80x - 5000y + 2500 = -5800
4.80x - 5000y = -8300............... (2)
(1)*2.5:
11.5x - 5000y = 18500................. (3)
(3)-(2):
11.5x - 4.80x - 5000y + 5000y = 18500 + 8300
6.70x = 26800
x = 4000
(ii)
Sub. x = 4000 into (1):
4.60(4000) - 2000y = 7400
-2000y = 7400 - 18400
-2000y = -11000
y = 5.5
Share price of Company B on Day 12
= 5.50 - 0.50
= $5.00
