Answer:
function: x=-4
y-intercept: f(0)=-37
Step-by-step explanation:
hope this helps!
The quadratic function f(x) = -2(x + 4)^2 - 5 in standard form is:
f(x) = -2x² - 16x - 37.
What is a function?A function has an input and an output.
A function can be one-to-one or onto one.
It simply indicated the relationships between the input and the output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
To rename the quadratic function f(x) = -2(x + 4)^2 - 5 in standard form, we need to expand and simplify the expression:
f(x) = -2(x + 4)² - 5
f(x) = -2(x² + 8x + 16) - 5
f(x) = -2x² - 16x - 32 - 5
f(x) = -2x² - 16x - 37
Therefore,
The quadratic function f(x) = -2(x + 4)^2 - 5 in standard form is:
f(x) = -2x² - 16x - 37.
Learn more about functions here:
https://brainly.com/question/28533782
#SPJ2
Simplify the following expressions. All answers should be in standard form.
[tex]5x(3x + 2)[/tex]
Answer:
The given expression in simplified form is: [tex]15x^2+10x[/tex]
Step-by-step explanation:
Simplifying the expression involve reducing the number of terms to minimum and making the expressions in standard form.
This may involve addition, subtraction and multiplication of variables.
Given expression is:
[tex]5x(3x+2)[/tex]
Distributing 5x will give us:
[tex]= 5.3.x.x + 5.2.x\\=15x^2+10x[/tex]
Hence,
The given expression in simplified form is: [tex]15x^2+10x[/tex]
Suppose x varies directly with y and x=29 when y=-87. What is the constant of variation
and what is the value of x when y=-189
Answer:
x = -71
Step-by-step explanation:
If it correlates together than it goes down a total of -102.
6. What is the slope of the line pictured?
Answer:
-1/3
Step-by-step explanation:
We can do this by counting the number of spaces away the points shown are. Starting from the leftmost point, you move down one, or -1, units, and right 3 units. Since slope is defined as rise over run, you can then say that the slope is:
-1/3
Hope this helps!
Graph the function.
f(x) = -5/4x +4
Answer:
1. Put a dot at y=4
2. Go DOWN 5 blocks, go RIGHT 4 blocks
3. Put a dot at this point
4. Connect your 1st dot to the second dot for your first line segment
5. Follow the pattern
7n2 + 9k2 + 6 6n Submit
Answer:
9 ( -10 - 10y )
Step-by-step explanation:
Marcus has a circular rug in his room . if the diameter of the rug is equal to the length of the bedroom floor , what is the circumference of his rug ?
Answer:
37.68ft
Step-by-step explanation:
circumference = πd
12*π=37.68ft
I don’t know this question please help me!!!
Answer:
5
Step-by-step explanation:
150 diveded by 30 is 5
Answer:
It sounds like 5 months, but the wording you chose is a little strange. What are the other wording options?
Step-by-step explanation:
150/30=5.
I hope this helps.
2/3b+5=20-b
can someone help me out plz because i keep getting this wrong
Answer:
b=9.
Step-by-step explanation:
Elyse wants to buy a new softball glove that costs $46.50. She has $15 and plans to save $5.25 each week. How many weeks will it take her to save the money?
Elysa would have to save money for 6 weeks to afford the glove
46.50-15= 31.5/5.25= 6
Multiply.
(5x + 4)^2
The multiplication of the given equation i.e. [tex](5x + 4)^2[/tex] should be considered as the [tex]25x^2 + 40x + 16[/tex].
Calculation of the equation:Since the given equation is [tex](5x + 4)^2[/tex]
We have to break this equation
So, it can be like
[tex](5x)^2 + 2 \times 5x \times 4 + 4^2[/tex]
[tex]25x^2 + 40x + 16[/tex]
Hence, we can conclude that The multiplication of the given equation i.e. [tex](5x + 4)^2[/tex] should be considered as the [tex]25x^2 + 40x + 16[/tex].
Learn more about an equation here: https://brainly.com/question/17069398
-2 and 4
what is the slope intercept form
Answer:
y=4x-2
Step-by-step explanation:
Simplify the expression. ( 5 x 2 − 3 x ) − ( 5 x 2 − 3 x + 1 )
Answer:
-1
Step-by-step explanation:
Following PEMDAS The answer equals to -1
*plssss make me brainlist*
Answer:
Let's simplify step-by-step.
5x2−3x−(5x2−3x+1)
Distribute the Negative Sign:
=5x2−3x+−1(5x2−3x+1)
=5x2+−3x+−1(5x2)+−1(−3x)+(−1)(1)
=5x2+−3x+−5x2+3x+−1
Combine Like Terms:
=5x2+−3x+−5x2+3x+−1
=(5x2+−5x2)+(−3x+3x)+(−1)
=−1
Step-by-step explanation:
Show your work
You complete 40% of ur hw problems before dinner what fraction of the problems did u complete before dinner
Please help please please
Answer:
x= 11.04
................
How do you know 4/5 is already simpless? Explain
Answer:
cause u cant make it more simpler
Step-by-step explanation:
4 and 5 cannot bbe cancelled by any number
Answer:
you can simply a fraction with even and odd numbers
Amir drove 165 miles in three hours . What was his speed in miles per hour
Answer:
165 divided by 3 55 miles per hour
Step-by-step explanation:
divide 165 by 3
equals to 1 hour
George is in charge of
prepping a pinata for a
party. He puts 72 pieces of
candy in the pinata. If
each person gets 2/8 of the
candy, how many pieces of
candy will each person
receive?
45 =p x 60
NEED HELP ASAP
Answer:
p = 3/4 or 0.75
Step-by-step explanation:
your equation: 60p = 45
divide both sides by 60: p = 45/60
simply the fraction by dividing the numerator and denominator by 15: p = 3/4
your answer: 3/4 or 0.75
Answer: p = 75%
Step-by-step explanation:
p = 45/60 then divide that by 15/15
so 45 divided by 15 is 3
and 60 divided by 15 is 4
this equals too 3/4 = 0.75
0.75 = 75%
Solve the following
equations for r:
9r - 66 = 116 - 4r
Answer:
r = 14
Step-by-step explanation:
9r - 66 = 116 - 4r
+4r +4r
13r - 66 = 116
+66 +66
13r = 182
divide both sides by 13
r = 14
Hope this helps!!!
Mildreda bought 3 boxes of pencils. There were 4 pencils in each box. Which shows how Mildreda could figure out how many pencils she bought?
Answer: 12
Step-by-step explanation:
4 x 3 =12
0.93+0.80 rounded to the nearest whole number
Answer:
1.73 rounded to the nearest whole number is 2
Answer: 2
Step-by-step explanation: 1.73 since 7 is high round up.
Please help me if you can
Answer:
Area_3 = 25
Distance from Washington to Springfield = 70.7 miles
Step-by-step explanation:
Two
If one side of a square is 50 miles, all sides are.
a^2 + b^2 = c^2
You are looking for c. a and b both equal 50
50^2 + 50^2 = c^2
c^2 = 2500 + 2500
c^2 = 5000
√c^2 = √5000
c = 70.7 miles
One
Again you are using a^2 + b^2 = c^2
c = 169
Perimeter of square 2 = 48
a = ?
a is square 3.b is square 2c is square 14s = 48
s = b = 48/4
s = b = 12
area_2 = s^2
Area_2 =12^2
Area_2 = 144
Area_ 1^2 - Area_2 ^2 = Area_3^2
169 - 144 = Area_3^2
side_3 = sqrt(25)
area= 25
A coupon for 60% off has been awarded to the first 50 customers at a
new restaurant and you were 12th in line! Woohoo! If your bill was $12.80,
how much will you save
Answer: you will save $7.68 but you will spend $5.12
Step-by-step explanation: 12.8 x 0.6
Jonah is going to the hardware store for his Uncle Frederick. He needs to buy 4 yards of electrical wire and 14 quarts of liquid nails The store only sells wire by the foot. How many feet does Jonah need? (3 ft = 1 yd)
Answer:
Jonah needs 12 feet of electrical wire.
Step-by-step explanation:
[tex]\frac{3 feet}{1 yard}[/tex]= [tex]\frac{x}{4 yards}[/tex]
cross multiply
12 yard × ft = 1 yard x
12÷1=12
12 feet of wire.
what is the simplified form of the expression
[tex] \sqrt[3]{27} [/tex]
simplified form of the expression
[tex] \sqrt[3]{27} [/tex]
Answer:
[tex]\rightsquigarrow[/tex] [tex]\tt{\sqrt[3]{27} }[/tex] ⠀
[tex]\rightsquigarrow[/tex] [tex]\tt{\sqrt[3]{3×3×3} }[/tex] ⠀
[tex]\rightsquigarrow[/tex] [tex]\tt{3 }[/tex] ⠀
Jamal reads every day. He read 55 pages on Tuesday, which is 25% less than what he read on Monday. How many total pages did Jamal read on Monday and Tuesday? Write solution as a mixed number
Answer:
68/.75
Step-by-step explanation:
line that is parallel y=-1.25x+7
Helppppp me please ???
Answer:
176•74
Step-by-step explanation:
area of circle is πr^2
π=3•142
r=7•5
3•142×7•5×7•5
=176•737
176•74
Rewrite the expression without parenthesis
8(2x + 1)
Answer: 16x+8
Step-by-step explanation:
you use the distributive property. 8 * 2x = 16x and 8 * 1 = 8
Stock prices for a certain company start at $12 per share an increase at a rate of
$2 per month. Write an equation of the function of the value of the stock price v,
as a function of the number of month that have passed, m.
Step-by-step explanation:
V = $12
M = The number of months
So, function = v + $2m
Lets take an Example = for example the stock price now is $20
V + $2m = $20
V = $12
So, 12 + $2m = 20
$2m = 20 - 12
$2m = 8
m = 8/2
m = 4
So this used we can easily find the number of months
Now let's try with the stock price only
The total now is $24
And 6 months passed
v + $2m = $24
v + $2(6) = $24
v + $12 = $24
v = $24 - $12
v = $12
So we got the same stock price
We found with this function the stock price as well as the number of months
Hope this answers ur question!