Answer:
y = x² - 2
Step-by-step explanation:
Quadratic Parent Function: y = a(bx + h)² + k
k = vertical movement up/down
Since we are only dealing with a vertical shift down, we are only modifying variable k
k = -2
y = x²
y = x² - 2
What is the solution to 7x + 6y if y = 10 and x = 2?
Answer: First we will substitute the numbers in place of the variables in the equation, and then we will use order of operations to solve.
7x + 6y would be equal to:
7(2) + 6(10)
Now we will perform the multiplication:
7 * 2 = 14
6 * 10 = 60
The equation now looks like:
14 + 60
This is equal to 74. Your answer is therefore 74.
Hi there! Hopefully this helps!
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Answer: 74First we need to evaluate the variables into the expression.
7x + 6y = 7(2) + 6(10).
6 x 10 = 60
7 x 2 = 14.
60 + 14 = 74
cos²45+Sin²60 + sin^2 30
Step-by-step explanation:
[tex] { \cos}^{2} 45 \degree + { \sin}^{2} 60 + { \sin}^{2} 30 \degree \\ = \bigg( \frac{1}{ \sqrt{2} } \bigg)^{2} + \bigg( \frac{ \sqrt{3} }{ 2} \bigg)^{2} + \bigg( \frac{1}{2} \bigg)^{2} \\ \\ = \frac{1}{2} + \frac{3}{4} + \frac{1}{4} \\ \\ = \frac{2}{4} + \frac{3}{4} + \frac{1}{4} \\ \\ = \frac{2 + 3 + 1}{4} \\ \\ = \frac{6}{4} \\ \\ = \frac{3}{2} \\ \\ = 1 \frac{1}{2} \\ [/tex]
An item is on sale for $100. If it was discounted by 20%, what was the original selling price?
Answer: The original price was $125
Step-by-step explanation:
If an item is on sale for $100 and it was discounted by 20% then we could set up an equation and solve for the original price.
Remember if there were 20% discount then 80% of the price will be left.
80% * x = 100
0.8x =100
x = 125
Step-by-step explanation:
We have :
• Selling Price = $100
• discount = 20%
As we know
• Selling Price = Cost - Discount
Now we have
• Discount = 20%
Let cost be x
→ Selling Price = x - 20% of x
→ selling price = 80% of x
→ 80% of x = 100
→ 80/100 x = 100
→ x = 100 × 100 / 80
→ x = $ 125
I’ve tried for so long and I don’t know any of these please help I need answers
Answer:
Step-by-step explanation:
More help please I really appreciate the people that has been helping also !
Answer:
8- b=79
9- b=23
10- b=67
8.)
[tex]37 = n - 42[/tex]
Add 42 to both sides of the equal sign to isolate the variable (n).
[tex]79 = n[/tex]
9.)
[tex]b + 62 = 85[/tex]
Subtract 62 from both sides of the equal sign to isolate the variable (b).
[tex]b = 23[/tex]
10.)
[tex]92 = 25 + l[/tex]
Subtract 25 from both sides of the equal sign to isolate the variable (l).
[tex]67 = l[/tex]
perform the indicated operation. (4+12i)+(-9-8i)
Answer:
4 i - 5
Step-by-step explanation:
Simplify the following:
4 + 12 i - 9 - 8 i
Hint: | Evaluate 4 + 12 i - 9 - 8 i.
4 + 12 i - 9 - 8 i = (12 i - 8 i) + (4 - 9) = -5 + 4 i:
Answer: 4 i - 5
Which number is not the square of a whole number?
100
400
80
Answer:
it should be 80
Step-by-step explanation:
100 squared is 10
400 squared is 20
80 does not have an exact answer 8.944 so it is 80
What is the value of x: -7x = -2x + 15
Answer:
-3
Step-by-step explanation:
-7x=-2x+15
collect like terms
-7x+2x=15
-5x=15
divide both sides by -5
x=15/-5
x=-3
classify the following numbers as rational or irrational. √23
Answer:
Irrational
Step-by-step explanation:
Unless a radical solves out to be a whole number, rads are irrational.
Answer:
√23 is an Irrational Number
Step-by-step explanation:
√23 = 4.79 is not a pefect square so its an irrational number
Christina goes to the market with $25. She buys one papaya for $4 and has the rest of the money for bananas. Each banana costs $0.55. Write an inequality for the number of bananas she can purchase.
Answer:
0.55x+4<=25
Step-by-step explanation:
It would be 0.55x because x is the number of bananas and 0.55 is the cost and the 4 represents the $4 she spent for a papaya. The 25 is the amount of money she has so it says less than or equal to because she only has so much money.
Multiply (3x)(x2 + 4x - 15).
(3 x3 + 12 x2 - 45 )
3 x + 12 x - 45 x3)
(4 x3 + 3 x + 12 x2 - 15 )
(3 x4 + 12 x3 - 45 )
Answer:
3x^3 + 12x^2 - 45x
Step-by-step explanation:
Multiply 3x with x^2 then 4x and then -15 in order
3x × x^2 = 3x^3
3x × 4x = 12x^2
3x × (-15) = -45x now add the expressions
3x^3 + 12x^2 - 45x
needing help!!!! pls help
Answer:
110 = z
Step-by-step explanation:
Since these figures are similar, the angles have to be the same measure
<A =< E
<B = < F
<C = <G
<D = <H
110 = z
f (x) =2x-3 find f (1)
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{ - 1 }}}}}[/tex]
Step-by-step explanation:
Given, f( x ) = 2x - 3
Here, we assume the value of x as 1
Now, Finding f ( 1 )
[tex] \sf{f(1) = 2 \times 1 - 3}[/tex]
Multiply the numbers : 2 and 1
⇒[tex] \sf{f(1) = 2 - 3}[/tex]
Subtract the numbers : 3 from 2
⇒[tex] \sf{f(1) = - 1}[/tex]
Hope I helped!
Best regards!!
Answer: f = -6
Step-by-step explanation:
Remove parentheses
f= -2*3
f= -6
Solve the equation for x. Enter your answers as radical expressions. Then estimate to one decimal place, if
necessary.
X^2 = 5
Answer:
The answer is
[tex]x = \sqrt{5} \: \: \: \: \: or \: \: \: \: \: \: x = - \sqrt{5} \\ x = 2.2 \: \: \: \: \: or \: \: \: \: \: \: \: x = - 2.2[/tex]Step-by-step explanation:
x² - 5 = 0
Using the quadratic formula
That's
[tex] x = \frac{ - b\pm \sqrt{ {b}^{2} - 4ac } }{2a} [/tex]Solve the equation
From the question
a = 1 , b = 0 , c = 5
So we have
[tex]x = \frac{ - - 0\pm \sqrt{ {0}^{2} - 4(1)( - 5)} }{2(1)} \\ x = \frac{\pm \sqrt{20} }{2} \\ x = \frac{\pm2 \sqrt{5} }{2} \\ x = \pm \sqrt{5} \: \: \: [/tex]We have the final answer as
[tex]x = \sqrt{5} \: \: \: \: \: or \: \: \: \: \: \: x = - \sqrt{5} \\ x = 2.2 \: \: \: \: \: or \: \: \: \: \: \: \: x = - 2.2[/tex]Hope this helps you
Determine if the survey question is biased. If the question is biased, suggest a better wording. Why is eating carrots good for you?
What is the length of a rectangle with width 20 in, and area 172 in2
20) Round each number to the nearest hundreds place.
a) 345.983
b) 1283.75
c) 9980.32
d) 1111.111
e) 689.4
Answer:
Step-by-step explanation:
X X X X . X X X
^ this is the hundreds place
X X X X . X X X
^ this is the hundredths place
a) 300 Because the place behind it is less than 5.
b) 1300 The place in the tens is 5 or greater.
c) 10,000 The place in the tens is 5 or greater which causes the 9 in the hundreds to go up which also causes the 9 in the thousands to go up as well.
d) 1,100
e) 700
Susan charges $8 per hour walking her neighbor’s dog. She charges $12 per hour babysitting. Part A: Define the variables. Part B: Write an expression to represent the amount Susan earns dog walking and babysitting
Answer:
Part A: The variables are the amount charged per hour dog walking and the amount charged per hour babysitting.
Part B: y=8d+12b
Step-by-step explanation:
To undo multiplication, you
A.divide
B.mulitpy
C. add
D. subtract
Answer:
A
Step-by-step explanation:
It’s the opposite
Answer: In order to undo multiplication you must divide. For fractions multiply the reciprocal to get it to the other side in an equation.
Step-by-step explanation:
So it is given that we have to do the opposite operation of multiplication, so that is division. In an equation, if we have a fraction, then we multiply the reciprocal of the fraction to get it to the other side.
Hence, your answer.
10.36 less than the product of 42 and x
please i need help
Answer:
so the problem is saying 42x-10.36 so it's just saying take 10.36 away from 42 multiplied by X
Step-by-step explanation:
PLEASE GIVE A GOOD EXPLANATION FOR A FREE BRAINLIEST: 26.8 + 0.65 - 0.028 =
[tex]\boxed{27.422}[/tex]
We will use order of operations to add and subtract from left to right to solve this equation.
26.8 + 0.65 = 27.45
The equation now looks like:
27.45 - 0.028 = 27.422
Therefore, your answer is 27.422.
Answer:
ok so
26.8
+ 0.65
----------------
27.45
- 0.028
----------------
27.422
Step-by-step explanation:
uhh just math
Little Johnny is fleeing from a horde of zombies. He is 4000 feet from a safe zone where a gate will be closed in 3 minutes. If Johnny is running at a rate of 22 mph, will he be able to reach the safe zone before the gate is closed? Yes or No? Explain BRIEFLY.
Answer:
Johnny will be able to reach the safe zone before the gate is closed.
Step-by-step explanation:
Given that:
Distance of Little Johnny from safe zone = 4000 feet
Time = 3 minutes
Speed = 22 mph
To find:
Will Johnny be able to reach the safe zone ?
Solution:
Johnny can only be safe if he can travel 4000 feet in 3 minutes with the given speed.
Let us try to find out, the distance that he can travel in 3 minutes at speed of 22 mph.
Let us have a look at the formula of distance traveled:
[tex]Distance = Speed \times Time[/tex]
Time = 3 minutes = [tex]\frac{3}{60}[/tex] hrs
Speed = 22 mph
[tex]Distance = 22 \times \frac{3}{60}\\\Rightarrow Distance = \dfrac{22}{20}\ miles \\\Rightarrow Distance = 1.1\ miles[/tex]
We know that 1 mile = 5280 feet
Therefore 1.1 miles = 5280 [tex]\times[/tex] 1.1 feet = 5808 feet
Distance traveled by Little Johnny is greater than 4000 feet.
Therefore Johnny will be able to reach the safe zone before the gate is closed.
is -55.505 a rational number?
Answer:
yes
Step-by-step explanation:
Any number that can be written in p/q from is a rational number
is 1,600 1 tenth of 16,000
Answer:
true
Step-by-step explanation:
16,000 / 10 = 1,600
What is the domain of g?
Answer:
x≥ -3
Step-by-step explanation:
The domain is the values that x can take
g(x) = sqrt( x+3)
This must be greater than or equal to zero
x+3 must be greater than or equal to zero
x must be greater than or equal to -3
x≥ -3
(7y2 - 3y)-(4y2 + 2y- 2)
Answer:
Step-by-step explanation:
7y^2 - 3y - 4y^2 -2y + 2
3y^2 - 5y + 2
¿Por que 10/25 es equivalente a 2/5?
Answer:
because if u divide the top and bottom by 5, you'll get 2/5
Step-by-step explanation:
Answer: Porque dividir ambos por 5 y eso es lo más bajo que pueden ir
Step-by-step explanation:
10 / 5 = 2
25 / 5 = 5
Solve the proportion. I will give brainliest.
2/7=r/4
Answer:
Cross multiply:
2 * 4 = 7 * r
Simplifying
2 * 4 = 7 * r
Multiply 2 * 4
8 = 7 * r
Solving
8 = 7r
Hope this helps.
A car rental agency charges a fee of $35 per day plus $.20 for each mile driven. How much will it cost to rent the car for 4 days and drive 730 miles? Your answer should include a $ and two decimal places, in the format $10.00
Answer:
$271.00. Remember to put it in the right format
Step-by-step explanation:
So since its 35 dollars per day, we can first do 35*4 to get 140. So just for having the car, it costs 125 dollars.
Now to find the amount of money for the miles, we can do 730*0.20=146
Now we add those two amounts so we do 125+146=271.
So $271.00
What is the result if you divide 18r⁴s⁵t⁶/ ⁻3r²st³