Answer:
x = -3, x = -2
Step-by-step explanation:
x² + 5x + 6 = 0
(x + 3)(x + 2) = 0
x + 3 = 0 x + 2 = 0
x = -3 x = -2
3(x − 2y) = −12(x + 2y)
Answer:
15x-18y
Step-by-step explanation:
Distribute then combine like terms
A student solved the given equation and justified every step except one. What is the missing reason? A) Associative property of addition B) Commutative property of addition C) Multiplicative property of equality D) Distributive property of multiplication over addition
Given:
The statements and reasons to solve an equation.
To find:
The missing reason.
Solution:
If a, b and c are three real number, then
Associative property of addition : [tex](a+b)+c=a+(b+c)[/tex]
Commutative property of addition : [tex]a+b=b+a[/tex]
Multiplicative property of equality : [tex]a=b\Leftrightarrow ca=cb[/tex]
Distributive property of multiplication over addition : [tex]a(b+c)=ab+ac[/tex]
In the given step, [tex](x+-3)+3[/tex] is written as [tex]x+(-3+3)[/tex].
It means, only parenthesis are changed, which is possible by Associative property of addition.
So, the missing reason is Associative property of addition.
Therefore, the correct option is A.
Jordan is purchasing a summer home. The home he wanted to buy was originally $227,000.
When he looked today, the home is selling for 12% less. What is the home selling for today?
Answer:
$199,760
Step-by-step explanation:
$227,000
- 12%
---------------------
$199,760
Gianna, Jada, and Brittney and a bunch of other friends had a horseshoe competition. Jada and Brittney were eliminated after two rounds because they were too busy texting but Gianna went onto round eight to win 47 pieces of gum. Later, she gave two to each of her friends. She only has 1 remaining. How many friends does she have?
Answer:
23 friends
Step-by-step explanation:
Let the number of friends she has = x
Total number of gum = 47 pieces
She gave 2 each to her friends, hence:
2x + 1 = 47
2x = 47 - 1
2x = 46
x = 46/2
x = 23
Therefore, the number of friends she has is 23
If the diameter of a circle is 50 yards, the radius is
Answer:
r = 25 yds
Step-by-step explanation:
The diameter is twice the radius, so the radius is 1/2 of the diameter
r = 1/2 d
r = 1/2 ( 50 yds)
r = 25 yds
answer: r=25yd
Hope this helps!
NEED HELP
what is the range?
|80 - 5x| = 4
Answer:
please be more specific
Simplify the following numerical expressions.
|7| - 7 =
2|-7| =
(-7)^2 =
-7-|-7|=
-7-1-71=
Answer:
|7| - 7 = 0
2|-7| = 14
(-7)^2 = 49
-7-|-7|= -14
-7-1-71= -79
Step-by-step explanation:
Answer:
|7| - 7 = 0
2|-7| = 14
(-7)^2 = 49
-7-|-7|= -14
-7-1-71= -79
Step-by-step explanation:
Help with this please?????
Claire and Richard are both artists who paint canvas. Claire uses the polynomial 50x^2+250 to decide how much to charge for her paintings. Richard uses the polynomial 40x^2+350 to decide how much to charge for his paintings.In each polynomial x is the height of the painting in feet. To the nearest tenth for what height will both Claire and Richard charge the same amount for a painting?
Answer:
3.2 ft
Step-by-step explanation:
50x²+250=40 x²+350
50x²-40x²=350-250
10x²=100
x²=100/10=10
x=√10≈3.1623≈3.2 ft
Which group contains numbers that all round most closely to 1/2?
A: 1/5, 2/9, 4/8
B: 3/5, 2/4, 4/7
C: 3/4, 5/6, 7/9
D: 1/2, 2/7, 9/10
pls help
Answer:
I think that B is the best answer
PLSSSSSS HELPPPPP ON NUMBER 6 ASAP TY TY TY
Answer:
The width is 4
Step-by-step explanation:
You would divide the area (24) by the length (6). So, 24/6=4.
Answer:
The answer is 4.
Step-by-step explanation:
You divide the area with the length.
24/6=4.
what is 40 times 8 minus 10 to the power of 2
Answer:
220
Step-by-step explanation:
40 x 8 = 320
[tex]10^{2}[/tex] = 100
320- 100 = 220
Hope that helps and have a great day!
Answer:
220
Step-by-step explanation:
Rewritten in numerical terms, the problem is:
40 * 8 - 10^2
Remember PEMDAS:
10^2 = 100
40*8 = 320
320 - 100 = 220
220
Tameca already has $55 dollars in her savings account. If she puts $5 per week in her account, write and solve an inequality to find out how many weeks she must save to have at least $100 in her account.
Answer:
9 weeks
Step-by-step explanation:
5 x 9 = 45
45 + 55 = 100
Answer:
55 + 5x ≥ 100.
5x ≥ 45.
Step-by-step explanation:
write the first equation shown above first, then subtract 55 from 55 and 55 from 100. do not use 0 later on in your equation! 100 - 55 = 45. then write the second equation. after you write the second equation, divide 5 by 5 and 45 by 5. do not use 0 later on in your equation! 45 divided by 5 = 9. she must save for 9 weeks. i hope this works! here is a picture of my work to help you understand it better! <3 it’s kind of blurry, but if you focus enough it’s easier to read.
Find the quadrant of the image.
A future is translated 7 units up and 4 units left. how large is the image in comparison to the figure ? the size of the image in comparison to the figure is
A. 4 times larger
B. The same size
C. 7 times smaller
8 + 11x
12x + 1
What’s the value of X?
Answer:
x = 7
Step-by-step explanation:
8 + 11x = 12x + 1
-x + 8 = 1
-x = -7
x = 7
Answer:
Step-by-step explanation:
Which part of this graph shows a nonlinear relationship?
Answer:
3
Step-by-step explanation:
Apps Managed bookmarks
Write an expression for the perimeter of the rectangle with a length of 2x and width of x.
Step-by-step explanation:
2x + 2x + x + x = Perimeter
6x = Perimeter
x = Perimeter ÷ 6
Plzzz help me
Suppose your business has a special checking account used just for paying the phone bill. The balance is $1530.00 this month. Next month the balance will be $1496.30, after that it will be $1432.60, and on the third month the balance will be $1428.90. Write an explicit formula to represent the balance in the account as an arithmetic sequence. How many months can you pay your phone bill without depositing any more money in the account?
A) An= 1530 + (n-1) ( -33.70); 46 months
B) An = 1530 + (n-1) (-33.70); 45 months
Please explain for me how you got the answer. Thank you so much
Answer:
B
Step-by-step explanation:
this month=1530
first month=1530-33.70=1496.30
Second =1496.30-63.70=1432.60
Third=1432.60-3.70=1428.90
Please help me!!! I feel sick and really want to go to bed so please help soon!! thank u!!!
Answer:
I think It is 8 as well, but not sure
Step-by-step explanation:
In June, Clarissa used 115 gigabytes of data on her cell phone. Given that June has 30 days, how much data did she use on average per day?
Answer:
3.8333333333...
Step-by-step explanation:
you take how many gigabytes (115) and divided it by the 30 days, giving you 3.833333333...
The point-slope form of a line that has a slope of -2 and passes through point (5,-2) is shown below.
y+2=-2(x-5)
What is the equation in slope-intercept form?
Oy=-2x+ 12
O y=-2x+8
y=-2X-7
O y=-2x-3
Answer:
y=-2x+8
Step-by-step Explanation:
could you vote me brainliest plz? thx :)
Dina's birthday was 125 days ago. If today is Sunday, on what day of the week did her birthday fall?
Answer:
her birthday is on Saturday
Step-by-step explanation:
please help, im not feeling good
Answer:
A
Step-by-step explanation:
Answer:
A. $4/1lb
Step-by-step explanation:
You can get the unit price of beef by looking at the graph, and the denominator is always the number on the bottom of this graph, and the numerator is always the one on the left. (Denominator is the bottom number in a fraction, numerator is the top)
Help please! I have to do this math test and I dont understand
Answer:
y=1x+1
Step-by-step explanation:
y=1x+1 gradient= 1 and y-intersept = 1
Customers at the palace pro shop receive a 10% discount if they are members. all customers must pay 7% in sales tax. The function f(x)=0.9x is used to determine the price of an item after the 10% member discount, where x is the regular price of the item. the function g(x)=1.07x is used to determine the total amount customers Pay for a purchase after all discounts are applied. Which function can be used to determine T(x), the total amount a member pays for an item with regular price of x dollars?
Answer: 0.963
Step-by-step explanation:
The function used to determine the total amount a member pays for an item with regular price of x dollars is T (x) = 0.963x.
What is discount?A discount is a reduction made from a regular or list price.
This is subtracted from the regular price of an item.
Now it is given that,
The function used to determine the price of an item after the 10% member discount,
f(x) = 0.9x,
where x is the regular price of the item.
The function used to determine the total amount customers Pay for a purchase after sales tax is applied.
g(x) = 1.07x
Now, total amount to be paid by customer for an item with regular price of x dollars
T(x) = regular price* discount * sales tax
⇒T(x) = x*0.9* 1.07
⇒T(x) = 0.963x
Hence, The function used to determine the total amount a member pays for an item with regular price of x dollars is T (x) = 0.963x.
More about function :
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Kelly has $20000 to invest, and hopes to earn $1390 in interest in the first year. She wants her investment in treasury bills to be $3000 more than her investment in corporate bonds. The expected return (in simple interest) on each investment are: Treasury Bills: 5%, Treasury Bonds: 7%, Corporate Bonds: 10%. How much should Kelly invest in each one?
Answer:
$8,000 in Treasury bills
$7,000 in Treasury bonds
$5,000 in corporate bonds
Step-by-step explanation:
Let the amount to be invested in treasury bills be $x , the amount to be invested in treasury bonds be $y
From the question, we understand that the amount she will invest in corporate bonds will be $3000 less than the amount in treasury bills;
So mathematically, this will be $(x - 3000)
So therefore, the amount invested in each will be;
x + y + x-3000 = 20,000
2x + y = 20,000 + 3000
2x + y = 23,000 ••••••••(i)
Let’s now work with the simple interests;
For treasury bills;
5% = 5/100 * x = 5x/100
For Corporate bonds ;
10% = 10/100 * (x -3000) = (x-3000)/10
For Treasury bonds 7%
7% = 7/100 * y = 7y/100
Adding all gives the total interest;
5x/100 + 7y/100 + (x-3000)/10 = 1390
Multiply through by 100
5x + 7y + 10(x-3000) = 1390 * 100
5x + 7y + 10(x-3000) = 139,000
5x + 7y + 10x -30,000 = 139,000
15x + 7y = 139,000 + 30,000
15x + 7y = 169,000 •••••••••(ii)
So we have two equations to solve simultaneously;
From i, y = 23,000 - 2x
Put this into ii
15x + 7(23,000 -2x) = 169,000
15x + 161,000 - 14x = 169,000
x + 161,000 = 169,000
x = 169,000 - 161,000
x = $8,000
y = 23,000 - 2x
y = 23,000 - 2(8,000)
= 23,000 - 16,000 = $7,000
So the last investment amount is x-3000 = 8,000 -3,000 = $5,000
Two parallel lines are crossed by a transversal.
Parallel lines r and s are cut by transversal q. On line s where it intersects with line q, the uppercase left angle is 125 degrees and the bottom right angle is d degrees.
What is the value of d
Answer:
125
Step-by-step explanation:
Measure of d will be,
⇒ d = 125°
What is mean by Angle?An angle is a combination of two rays (half-lines) with a common endpoint. The latter is known as the vertex of the angle and the rays as the sides, sometimes as the legs and sometimes the arms of the angle.
Given that;
Here, r and s are two parallel lines
And, q is the Transversal
Here, Uppercase left angle is 125 degrees
And, The bottom right angle is d degrees
We know that the sum of supplementary angles is 180°
Hence, By the figure, we get;
125 + x = 180
x = 180 - 125
x = 55°
Also we know that
Alternate interior angles are formed by a transversal intersecting two parallel lines . They are located between the two parallel lines but on opposite sides of the transversal, creating two pairs of alternate interior angles. Alternate interior angles are congruent, meaning they have equal measure.
So, Measure of d will also be,
d = 125°
Or,
d = 180 - 55
= 125°
Learn more about the angle visit:;
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write the equation of the line fully simplified slope-intercept form.
Answer:
y=-1/2x-8
Step-by-step explanation:
The slope is -1/2 and the y-intercept is -8.
The department store sells logo t-shirts at an original price of $12.50. Every month that a t-shirt doesn’t sell, the store reduces the price by 25%. Brianna calculated the price after two reductions:
12 dollars and 50 cents minus (12 dollars and 50 cents) (0.25) minus (12 dollars and 50 cents) (0.25) = 6 dollars and 25 cents
What is Brianna’s error?
Answer:
Brianna subtracted $12.50, even though you are not supposed to do that to find the price. You have to subtract $6.50, not $12.50.
The final answer is $7.04 because you subtract two initial prices.
Hope this helps you!
Answer:
The sample answer is :Brianna took both 25% discounts off the original amount. The second discount should have been calculated on the first reduced price of $9.38. The final sale price should have been $7.03.
Step-by-step explanation:
hope this helps :)
(-5, -4); y = -2x + 4
Answer:
y= -2x squared +4x+66
Step-by-step explanation:
Answer:
y= -2x squared +4x+66
Step-by-step explanation:
