x^2+3x+37=-7x
I'm supposed to complete the square but my teacher did not explain it well at all. It would be really great if you showed the steps to get the answer :)
Answer:
x= -74 or -84
Step-by-step explanation:
x^2+3x+37=-7x
x^2+3x+7x+37=0
x^2+10x+37=0
this convert to following
[tex]( - b + - \sqrt{ {b}^{2} } - 4 \times a \times c) \div 2 \times a[/tex]
-b= -(10), a= 1, c =37
according to that
x= -74 or x= -84
Does anyone get this?
PLEASE HELP!!!!! 25 POINTS!!!!!!
Answer:
The values of x and y that make the quadrilateral is a parallelogram are x = 12 and y = 21
Step-by-step explanation:
In the parallelogram, every two opposite sides are equal in lengthsIn the given figure
If DEFG is a parallelogram, then DE = GF and DG = EF
∵ DE = GF
∵ DE = 6x - 12 and GF = 2x + 36
→ Equate them
∴ 6x - 12 = 2x + 36
→ Subtract 2x from both sides
∵ 6x - 2x - 12 = 2x - 2x + 36
∴ 4x - 12 = 36
→ Add 12 to both sides
∵ 4x - 12 + 12 = 36 + 12
∴ 4x = 48
→ Divide both sides by 4
∴ x = 12
∵ DG = EF
∵ DG = 6y - 42 and EF = 4y
→ Equate them
∴ 6y - 42 = 4y
→ Add 42 to both sides
∵ 6y - 42 + 42 = 4y + 42
∴ 6y = 4y + 42
→ Subtract 4y from both sides
∵ 6y - 4y = 4y - 4y + 42
∴ 2y = 42
→ Divide both sides by 2
∴ y = 21
∴ The values of x and y that make the quadrilateral is a parallelogram are
x = 12 and y = 21
Can someone help me?
Answer:48miles
solution on the picture
if it's helpful ❤❤❤
THANK YOU
A bag contains 49 coins consisting of quarters and dimes. There are 2.5 times as many quarters as there are dimes in the bag. Write a system of equations that models this situation. How many dimes are in the bag?
pls write step by step so that I can understand :)
Answer:
Dimes = 35
Quarters = 14
Step-by-step explanation:
Let
quarters = q
Dimes = d
Total coins = 49
There are 2.5 times as many quarters as there are dimes in the bag
Dimes = 2.5q
Quarters + Dimes = Total
q + 2.5q = 49
3.5q = 49
q = 49/3.5
q = 14
d = 2.5q
= 2.5 * 14
= 35
d = 35
Therefore,
Dimes = 35
Quarters = 14
Answer:
The system of equations that models this equation area:
d + q = 49
q = 2.5d
What is the value of the expression (0.4)2
HELP!!!
Solve for the value of x
-3x - 8 = -20
A. 4
B. 28/3
C. -28/3
D.-4|
Answer:
A. 4, X = 4
Step-by-step explanation:
-3x - 8 = -20
Move the constant to the right-hand side and change its sign
-3x = -20 + 8
Calculate the sum
-3x + -12
Divide both sides of the equation by -3
x = 4
Solution
x = 4
i need to know the answer
Answer:
A.
Step-by-step explanation:
Combine 7 and -3 to get 4
4+7xy is the answer
Answer:
Yes, you can combine the 7 and the -3. Simplified expression is 4 + 7xy
Step-by-step explanation:
Which of the following is the solution set of the given equation?
(x-3)-2(x+6)=5
Answer:
the answer is x=-20 there you go
Answer: x = - 20 Hope I Helped!!
Step-by-step explanation:
Distribute
Eliminate Redundant Parentheses
Subtract The Numbers
Combine Like Terms
Add 15 to both sides of the equation!!!
X^2+2x+1=4 complete the square
Answer:
[tex] {x}^{2} +2 x + 1 = 4 \\ {(x + 1)}^{2} = 4 \\( x + 1) = + 2 \: and \: (x + 1) = - 2 \\ \boxed{x = 1 \: and \: x = - 3}[/tex]
x= 1 or x= -3 is the right answer.The question and possible answer are in the picture thank you!
Answer:
pretty sure its the first one
Step-by-step explanation:
If Sheila drove 152 km at an average speed of 95 km/h, how much time did her trip take?
(NEED TO SHOW YOUR WORK)
1.6 hours
152 km total divided by her speed, 95 km/h =1.6
On the first day, you pay $5 for 2 boxes of popcorn.
The next day you pay $7.50 for 3 boxes. Are the ratios
equivalant.
Answer:
10 5
Step-by-step explanation:
Answer: Yes
Step-by-step explanation:
First find the unit rate by find the cost per box.
To find the cost per post you will divide the cost by the number of boxes.
5/ 2 = 2.5
7.50/ 3 = 2.5
2.5 is indeed equal to 2.5 so they are equivalent.
Help!!! What is the difference ? (x - 8)/(3x) - (3x)/(x ^ 2)
Answer:
Given that you're providing only a single term, asking for a difference doesn't make a lot of sense. I assume you're asking to have the expression simplified?
If so, then it can be reduced to (x - 17) / 3x
Step-by-step explanation:
You can simplify by multiplying both terms each by a different ratio that equals one, but also gives the terms common denominator. Multiplying the first one by x²/x² and the second by 3x/3x will do that for you.
After that you can group the terms into one fraction and simplify:
[tex]\frac{x - 8}{3x} - \frac{3x}{x^2} \\\\= \frac{x - 8}{3x}\times\frac{x^2}{x^2} - \frac{3x}{x^2} \times\frac{3x}{3x} \\\\= \frac{x^3 - 8x^2}{3x^3} - \frac{9x^2}{3x^3} \\\\= \frac{x^3 - 8x^2 - 9x^2}{3x^3} \\\\= \frac{x - 8 - 9}{3x}\\\\= \frac{x - 17}{3x}\\[/tex]
Answer:
The difference of [tex]\frac{x-8}{3x}-\frac{3x}{x^2}[/tex] is [tex]\mathbf{\frac{x-17}{3x}}[/tex]
Step-by-step explanation:
We need to find the difference: [tex]\frac{x-8}{3x}-\frac{3x}{x^2}[/tex]
Simplifying to find the difference:
[tex]\frac{x-8}{3x}-\frac{3x}{x^2}[/tex]
x is common in both 3x and x^2 so, we can cancel it out and we get:
[tex]=\frac{x-8}{3x}-\frac{3x}{x(x)}\\=\frac{x-8}{3x}-\frac{3}{x}[/tex]
Now, taking LCM of 3x and x we get 3x, We will multiply 3x with both terms and then solve we get:
[tex]=\frac{x-8-3(3)}{3x}\\=\frac{x-8-9}{3x}\\=\frac{x-17}{3x}[/tex]
It cannot be further simplified, so we get [tex]\frac{x-17}{3x}[/tex] as answer.
So, The difference of [tex]\frac{x-8}{3x}-\frac{3x}{x^2}[/tex] is [tex]\mathbf{\frac{x-17}{3x}}[/tex]
I need some help ? Does anyone know this:)I’m new too this thats why im asking loll
Answer:
C≈31.42
Step-by-step explanation:
Radius=5 (10 divided by 2)
C=2πr
Brainly plss
On average, 15% of the patients a certain emergency room receives are uninsured. Let N be the number of patients the emergency room receives until it receives the first uninsured patient of the day. Assume the insurance status of the patients is independent. Find the probability that it takes at least 6 patients until the emergency room receives the first uninsured patient. You may round your answer to the nearest hundredth.
Answer: 0.44
Step-by-step explanation:
PLEASE ANSWER I WILL MARK AS BRAINLIESTTTTTT
Simplify the expression by combining like terms.
43a−12b+13a+52b
Enter your answer as an expression, like this: 42x+53
Answer:
56a + 40b
Step-by-step explanation:
hope this helps!
Answer: 56a + 40b
Step-by-step explanation:
43a - 12b + 13a + 52b
Bring like terms together
43a + 13a - 12b + 52b
Combine like terms
56a + 40b
Hope that helped!
p(x) = -2x – 2; Find p(-3)
WILL MARK BRAINLIST!!! only for correct answer
NEED CORRECT ANSWER ASAPPP
Answer:
B
Step-by-step explanation:
The answer is B because the slope is [tex]\frac{4}{1}[/tex] and there is no y- intercept
Answer:
A.
Step-by-step explanation:
It starts from 32 on the y-axis and goes up 4 times on x-axis.
Hurry please! Thank you I really appreciate it :)
Answer:
5 meters
Step-by-step explanation:
Asubmarine is only allowed to change its depth by rising toward the surface in 60-meter stages. It starts off at -340 meters.
1. At what depth is it after
1.1 stage
2. 2 stages
3.4 stages
2. How many stages will it take to return to the surface?
Answer:
stage 1 -280
stage 2 -220
stage 3 -160
stage 4 - 100
it takes 6 stages to return to the surface.
Step-by-step explanation:
8
A school board voted whether to adopt new math books. Those that voted yes
out numbered those that voted no by a ratio of 5 to 1. If 18 school board
members voted, how many voted yes for new math books and how many
voted no?
Answer:
15 people voted yes and 3 people voted no.
Step-by-step explanation:
Given that:
Ratio of yes to no = 5 : 1
Total number of board members who voted = 18
Let,
x be the number of times.
5x+x = 18
6x = 18
Dividing both sides by 6
[tex]\frac{6x}{6}=\frac{18}{6}\\x=3[/tex]
People who voted yes = 5(3) = 15
People who voted no = 3
Hence,
15 people voted yes and 3 people voted no.
When is the slope intercept form only y= mx and not y = mx+b?
Answer:
No Y-Intercept
Step-by-step explanation:
The only way for a slope to never have B within itself, is when Slope intercept form has no value for B or the Y intercept.
Your favorite shoes were on sale for 35% off. The shoes have a regular price of $160. Sales tax was 4%. What is the total price paid for the shoes including the discount and tax?
Answer:
108.16
Step-by-step explanation:
1
What California law did the U.S. Supreme Court recently overturn?
A
a law that required minors to stop playing violent video games
B
a law that made it a criminal offense to sell violent video games
С
a law that banned violent video games from all stores in California
D
a law that barred stores from selling violent video games to minors
A mirror is 24 inches high and 28 inches wide. The center of the mirror will hang 514 feet from the floor on a wall that is 8 feet high.
What will be the distance from the top of the mirror to the ceiling once the mirror is hung on the wall?
A
[tex]1\frac{3}{4}[/tex] feet
B
[tex]2\frac{3}{4}[/tex] feet
C
[tex]5\frac{1}{4}[/tex] feet
D
8 feet
Answer:
A is the answer
Step-by-step explanation:
I think
Which inequality is graphed on the coordinate plane?
Answer:
B
Step-by-step explanation:
The slope is 4/1 which equals 4
the y int is 2
this gives us 4x+2
the line is dotted which mean there is no equal sign with the inequality
The shaded area is above the line, meaning y is greater
what is 4 × 10^2 in scientific notation?
Answer:
104 = 10 × 10 × 10 × 10 = 10,000
Step-by-step explanation:
In words: 104 could be called "10 to the fourth power", "10 to the power 4" or "10 to the 4"
These are from the same question
Answer:
a. 25%
b. 6.5%
c. 20%
Step-by-step explanation:
Ella buys 5 packs of muffins. She uses a coupon and saves $3 off the total. Which expression represents her total cost?
A. 5m -3
B. 5 -3m
C.5+3
D. 5m + 3
Answer:
The answer is A. 5m - 3
Step-by-step explanation:
Ella bought 5 packs of muffins but since we don't know how many muffins are in each pack, we put a variable in place so it's 5m. Since she saved $3 off the total, that means you would subtract 3 from the total, so the problem would be 5m - 3