[tex]\\ \sf\longmapsto (4x+2)(x-3)[/tex]
[tex]\\ \sf\longmapsto 4x(x-3)+2(x-3)[/tex]
[tex]\\ \sf\longmapsto 4x^2-12x+2x-6[/tex]
[tex]\\ \sf\longmapsto 4x^2-10x-6[/tex]
Answer:
Step-by-step explanation:
(4x + 2)(x - 3) =4x *(x -3) + 2*(x -3)
= 4x*x - 3*4x + x*2 - 3*2
= 4x² - 12x + 2x - 6 {Combine like terms}
= 4x² - 10x - 6
Please I need a Hand
*How much money was in Caroline's account when it was opened? Explain.
*After 2 years, how much money would Caroline have saved? (Hint - convert years to months before solving). To earn full credit, show your work using a method explained in the Orientation.
Answer:
A) $3100
B) $6700
Step-by-step explanation:
A)The first table entry is the value of the opening balance of Caroline's account.
$3100 was in Caroline's account when it was opened.
__
B)After 1 month, the balance in Caroline's account increased by $3250 -3100 = $150. There are 12 months in a year, so after 2 years, Caroline will have made 12×2 = 24 additional deposits of $150. Her account value will be ...
24 × monthly deposit + initial balance
= 24 × $150 + $3100 = $3600 +3100 = $6700
Caroline would have saved $6700 after 2 years.
An online store charges $5 to ship one box and $10 to ship two boxes. Write an explicit formula for an arithmetic sequence to represent the amount the online store pays to ship n boxes. Use the explicit formula to determine how much the online store charges when shipping 11 items.
Write an explicit formula for an arithmetic sequence to represent the amount the online store pays to ship n boxes.
From what we know so far,
y = 5n
Use the explicit formula to determine how much the online store charges when shipping 11 items.
y = 5(11)
y = 55 dollars
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
Answer:
$55
Step-by-step explanation:
Since we are not given much information in this problem, we know this must be a pretty simple sequence. If we make a sequence of Natural Numbers and match it up to the prices we've been given, we get
1,2,3,4...
5,10,15...
The price is increasing by five dollars for every "n", so our sequence is just 5n. Extrapolating this out gives us $55 for n=11
Lucy can type 300 words in 5 minutes. How many words can Lucy type in 27 minutes?
Answer:
1620 wordsStep-by-step explanation:
Given,
Number of words Lucy can type in 5 minutes
= 300 words
So,
Number of words Lucy can type in 1 minute
[tex] = \frac{300}{5} \: words[/tex]
= 60 words
Therefore,
Number of words Lucy can type in 27 minutes
= (60 × 27) words
= 1,620 words
Hence, Lucy can type 1620 words in 27 minutes.
Translate the situations into equations and solve
The lengths of the sides of a triangle are
consecutive even integers. Find the length of the
longest side if it is 14 units shorter than the
perimeter.
THIS IS URGENT PLS HELP!
1. Find the x and y intercept for the function 3x-4y=12
Step-by-step explanation:
To easily solve this problem we need to know two facts:
the y-intercept is 'c' when a line is in the slope-intercept form (y = mx + c)the x-intercept occurs when y = 0Slope-intercept form
Since 3x - 4y = 12
3x - 12 = 4y
y = ³/₄ x - 3
∴ y-intercept is (0, -3)
Solve for x when y = 0
Since 3x - 4y = 12
3x - 4(0) = 12
x = 4
∴ x-intercept is (4, 0)
We can check our answer by graphing the line and seeing if it passes through the intercepts we calculated. Since it does (see graph below), then the answers we calculated are correct.
I'm thinking of a number that is 24 hundred less than half of 860 tens. what is my number?
Answer:
the answer is 4276, hope this helps :)
help me please on my math I need All of this FACTORS and the LCM
Answer:
the LCM is :
1. 144
2.40
3.870
4. 63
5.216
6.150
7. 112
8.162
9. 96
10. 40
solve the equation: -5x+12=20
-5x + 12 = 20
-5x = 20 - 12
-5x = 8
x = -8/5
(6,1),(7,2),(8,3) what is the range
Answer:
the range is 1, 2, 3
Step-by-step explanation:
Is the first number divisible by the second? Explain.
45 by 5
Answer:
Yes
Step-by-step explanation:
45 is divisible by 5 because 45 divided by 5 is 9
¯\_(ツ)_/¯
hii I need help with this I really don't get it and I'm like, bad at Functions and stuff like that, I hope this doesn't trouble you :(
please help me i have until midnight. im really stressed
Answer:
15/2= 7 1/2 =7.5
Step by step
Step 1 of 2: Add.
Add
5 and 2 over 165
2
16
+ 2 and 3 over 82
3
8
= 120 over 16
120
16
Step 1 of 2: Add, sub-step a: Convert mixed number to improper fraction.
Convert mixed number to improper fraction
5 and 2 over 165
2
16
= ( 5 × 16 ) over 16
5 × 16
16
+ 2 over 16
2
16
= ( 80 + 2 ) over 16
80 + 2
16
= 82 over 16
82
16
Step 1 of 2: Add, sub-step b: Convert mixed number to improper fraction.
Convert mixed number to improper fraction
2 and 3 over 82
3
8
= ( 2 × 8 ) over 8
2 × 8
8
+ 3 over 8
3
8
= ( 16 + 3 ) over 8
16 + 3
8
= 19 over 8
19
8
Step 1 of 2: Add, sub-step c: Find common denominator.
Find common denominator
82 over 16
82
16
+ 19 over 8
19
8
= ( 82 × 1 ) over ( 16 × 1 )
82 × 1
16 × 1
+ ( 19 × 2 ) over ( 8 × 2 )
19 × 2
8 × 2
= 82 over 16
82
16
+ 38 over 16
38
16
16 is the least common multiple of denominators 16 and 8. Use it to convert to equivalent fractions with this common denominator.
Step 1 of 2: Add, sub-step d: Add.
Add
82 over 16
82
16
+ 38 over 16
38
16
= ( 82 + 38 ) over 16
82 + 38
16
= 120 over 16
120
16
Step 1 of 2: Add.Hide
Step 2 of 2: Simplify.
Simplify
120 over 16
120
16
= 15 over 2
15
2
= 7 and 1 over 27
1
2
Step 2 of 2: Simplify, sub-step a: Reduce fraction to lowest terms.
Reduce fraction to lowest terms
120 over 16
120
16
= ( 120 ÷ 8 ) over ( 16 ÷ 8 )
120 ÷ 8
16 ÷ 8
= 15 over 2
15
2
8 is the greatest common divisor of 120 and 16. Reduce by dividing both numerator and denominator by 8.
Step 2 of 2: Simplify, sub-step b: Convert improper fraction to mixed number.
Convert improper fraction to mixed number
15 over 2
15
2
= 7 and 1 over 27
1
2
15 ÷ 2 = 7 remainder 1
100 PTS! HELP QUICK!!
Answer:
x=1
Step-by-step explanation:
suppose 40% of college students plan to vote in the election. now suppose we randomly select 200 college students and ask them if they plan to vote. what is the probability that more than 75 of the 200 students sampled plan to vote?
Answer:
62.5%
Step-by-step explanation:
Given that the zeros of a quadratic function are −2 and −5, what is the standard form of the quadratic function? A) f(x) = x2 + 5x + 10 B) f(x) = x2 + 7x + 10 C) f(x) = x2 − 5x + 10 D) f(x) = x2 − 7x + 10
Step-by-step explanation:
x = -2 and x = -5
x + 2 = 0 and x + 5 = 0
(x + 2)(x + 5) = 0
x² + 5x + 2x + 10 = 0
x² + 7x + 10 = 0
Option → B
Determine whether each function is even, odd, or neither.
f(x) = x²_9
g(x) = |x-3
f(x) = 22-1
g(x) = x + x2
Rule for even
[tex]\\ \sf\longmapsto \boxed{\sf f(-x)=f(x),x\in D_f}[/tex]
Rule for odd
[tex]\\ \sf\longmapsto \boxed{\sf f(-x)=-f(x),D_f}[/tex]
Here D_f means domain of function.#1
[tex]\\ \sf\longmapsto f(x)=\sqrt{x^2}-9[/tex]
Take x=4[tex]\\ \sf\longmapsto f(4)=\sqrt{4^2}-9=4-9=-5[/tex]
[tex]\\ \sf\longmapsto f(-4)=\sqrt{(-4)^2}=4-9=-5[/tex]
Even function✓#2
[tex]\\ \sf\longmapsto g(x)=|x-3|[/tex]
Take x=2[tex]\\ \sf\longmapsto g(2)=|2-3|=|-1|=1[/tex]
[tex]\\ \sf\longmapsto g(-2)=|-2-3|=|-5|=5[/tex]
[tex]\\ \sf\longmapsto -g(2)=-1[/tex]
Odd function✓#3
[tex]\\ \sf\longmapsto f(x)=\dfrac{x}{x^2-1}[/tex]
Take x=3[tex]\\ \sf\longmapsto f(3)=\dfrac{3}{3^2-1}=\dfrac{3}{9-1}=\dfrac{3}{8}[/tex]
[tex]\\ \sf\longmapsto f(-3)=\dfrac{-3}{(-3)^2-1}=\dfrac{-3}{8}[/tex]
[tex]\\ \sf\longmapsto -f(3)=\dfrac{-3}{8}[/tex]
Odd function ✓#4
[tex]\\ \sf\longmapsto g(x)=x+x^2[/tex]
Take x=1[tex]\\ \sf\longmapsto g(1)=1+(1)^2=2[/tex]
[tex]\\ \sf\longmapsto g(-1)=-1+(-1)^2=0[/tex]
[tex]\\ \sf\longmapsto -g(1)=-2[/tex]
Neither✓2315 x 584 / 591 x 841
Answer:
About 2.72 rounded
Step-by-step explanation:
PEMDAS
:))
Please help me please help meee
Answer:
A
Step-by-step explanation:
As it is 7 people that like blue
Jasmine grandma gave her 7$to spend at a yogurt stand the frozen yogurt and toppings cost 0.45$ she also buys a bottle of water for $2.50 how many x-ounces of yogurt and toppings can jasmine afford?
A.x<4.3
B.x<10.0
C.x<15.6
D.x<21.1
Plz hurry!
Answer:
B
Step-by-step explanation:
solved using calculator.
7-2.50:4.5
4.5 - 0.45 is 10.0
ez dubs man
IM FAILLING PLZ HELPPPPP MEEEE
Answer: (x+ 13, y+13)
Step-by-step explanation:
Bobbi wanted to purchase a shirt that had an original price of $38.99 at the store where she works. She gets an employee discount of 25%. How much will she need to pay for the shirt?
Answer:
29.2425
Step-by-step explanation:
25%=0.25
38.99 * 0.75 = 29.2425
HELP ASAP WILL GIVE BRAINLIEST OR MORE POINTS
Answer:
the first option
Step-by-step explanation:
hope this help have a great rest of your night :)❤
A rope is stretched tight between the tops
of two flag poles. One pole is 16 m tall, the
other is 8 m tall and they stand on level
ground 6 m apart. Find the rope's length.
m
Answer:
10 m.
Step-by-step explanation:
We have a triangle with hypotenuse h m (the rope's length) and one leg 16 - 8 = 8 m and the other 6 m.
So h^2 = 8*2 + 6^2 = 100
h = 10 m.
Find the volume of the largest right circular cylinder that can be inscribed in a sphere of radius 6
Answer:
c.
took the test
Step-by-step explanation:
Please help thanks!!!
Answer:
[tex]a^{2}[/tex]
Step-by-step explanation:
Answer: ?
Step-by-step explanation:
Mark can make 424242 birthday cakes in 777 days.
How many birthday cakes can Mark make in 555 days?
birthday cakes
Bridget was thinking of a number. Bridget adds 11 then divides by 9 to get an answer of 67.
Form an equation with x from the information.
Answer:
Bridget was thinking of the number 592
correct??
Step-by-step explanation:
A local little league has a total of 60 players ,80% of whom are right handed how many right handed players are there?
plz help will mark as brainliest
Answer:
the three sides are 8, 12 and 16
Step-by-step explanation:
since the ratio is in 2:3:4, we need to work out each side individually so add them=2+3+4=9
9n=36, n=4
2:3:4
2 × 4 = 8
3 × 4 = 12
4 × 4 = 16
favorite food of 100 kapampangan sinigang 27