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
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
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
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:
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.
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
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.
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
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
Determine if the survey question is biased. If the question is biased, suggest a better wording. Why is eating carrots good for you?
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.
(7y2 - 3y)-(4y2 + 2y- 2)
Answer:
Step-by-step explanation:
7y^2 - 3y - 4y^2 -2y + 2
3y^2 - 5y + 2
What is the result if you divide 18r⁴s⁵t⁶/ ⁻3r²st³
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]
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.
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
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
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
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
I’ve tried for so long and I don’t know any of these please help I need answers
Answer:
Step-by-step explanation:
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
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
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]
What is the length of a rectangle with width 20 in, and area 172 in2
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:
¿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
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
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
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