Answer:
(f + g)(x) = – 3x^2 + 5x - 8
Step-by-step explanation:
(f + g)(x) = f(x) + g(x)
= 5x^2 + 9x – 4 + (– 8x^2 – 3x – 4)
= 5x^2 + 9x – 4 – 8x^2 – 3x – 4
Combine
= – 3x^2 + 5x - 8
The sum of the given functions is defined as the expression (f + g)(x) which is equal to -3x² + 6x – 8.
Use the concept of quadratic function defined as:
The definition of a quadratic as a second-degree polynomial equation demands that at least one squared term must be included. It also goes by the name quadratic equations. The quadratic equation has the following generic form:
ax² + bx + c = 0
The given functions are:
f(x) = 5x² + 9x – 4
g(x) = – 8x² – 3x – 4
Since (f + g)(x) = f(x) + g(x)
Then put the functions,
(f + g)(x) = (5x² + 9x – 4) + ( – 8x² – 3x – 4)
Rearranging like terms,
(f + g)(x) = 5x²– 8x² + 9x – 3x – 4 – 4
Simplifying it,
(f + g)(x) = -3x² + 6x – 8
Hence,
The expression for (f + g)(x) is -3x² + 6x – 8.
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A can of soda contains 12 ounces of soda. What is the amount in milliliters (mL)? Conversion Factor: 1 ounce = 29.6 milliliters A. 2.47 mL B. 24.7 mL C. 355.2 mL D. 3552 mL
Answer:
The answer is C: 355.2 mL.
Step-by-step explanation:
12*29.6=355.2. I hope this helps! Have a great rest of your day!
I need to finish this but im confused :(
Answer:
basically, with each value of x, you replace it by x on the equation
Step-by-step explanation:
y=1/3(12)
y=4
--------
y=1/3(3)
y=1
--------
y=1/3(18)
y=6
-------
hope this helped!
What is the value of x in the equation 4/3/10
I need to figure out what the slope is.
9514 1404 393
Answer:
2
Step-by-step explanation:
The slope formula is useful for this.
m = (y2 -y1)/(x2 -x1)
m = (-2 -(-6))/(3 -1) = 4/2 = 2
The slope of the line is 2.
Write the slope-intercept equation of this line.
when the answers are
A. y=-2x-3
b. y=2x-5
c. y=-1/2x-5
d.y=-1/2x-3
Answer:
[tex]y=-\frac{1}{2} x-3[/tex]
Step-by-step explanation:
Hi there!
Slope intercept form: [tex]y=mx+b[/tex] where m is the slope of the line and b is the y-intercept (the value of y when the line crosses the y-axis)
1) Determine the slope
The slope of a line is the same as its [tex]\frac{rise}{run}[/tex], or in other words, the number of units the line moves upwards over the number of units the line moves to the right.
In the graph, we can see that for every 2 units it moves right, it moves down 1 units. Therefore, our slope is [tex]-\frac{1}{2}[/tex]. This is negative since it is traveling downwards.
Plug [tex]-\frac{1}{2}[/tex] into [tex]y=mx+b[/tex] as m:
[tex]y=-\frac{1}{2} x+b[/tex]
2) Determine the y-intercept
In the graph, we can see that the line crosses the y-axis when y is equal to -3. Plug -3 into [tex]y=-\frac{1}{2} x+b[/tex] as b:
[tex]y=-\frac{1}{2} x-3[/tex]
I hope this helps!
There are 5 cups of tea in the pitcher. There are 10 fluid ounces of tea in the glass. In fluid ounces, how much more tea is in the pitcher than in the glass? Type in! QUICK!
Answer:
30 fl oz
Step-by-step explanation:
1 c = 8 fl oz
5c = 40 fl oz
40 fl oz - 10 fl oz = 30 fl oz
Answer:
3 fl oz
Step-by-step explanation:
What best describes the distance between two points with coordinates (2,-3) and (-4,2)
Answer:
Option c (7.8) is the correct alternative.
Step-by-step explanation:
The given points are:
(x₁, y₁) = (2, -3)
(x₂, y₂) = (-4, 2)
As we know,
The distance between two points will be:
= [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
On substituting the values, we get
= [tex]\sqrt{(-4-2)^2+(2-(-3))^2}[/tex]
= [tex]\sqrt{(-4-2)^2+(2+3)^2}[/tex]
= [tex]\sqrt{(6)^2+(5)^2}[/tex]
= [tex]\sqrt{36+25}[/tex]
= [tex]\sqrt{61}[/tex]
= [tex]7.8 \ units[/tex]
Malik is using a cookbook to make a recipe, but he cannot find his
measuring cups! He has, however, found a tablespoon. Inside the
back cover of the cookbook, it says that 1 cup = 16 tablespoons.
Determine how he could use the tablespoon to measure out the
following ingredients. Show each step of your solution.
• 2 cups of flour
• 12 cup sunflower seeds
• 194 cup of oatmeal in
Answer:
a. Given a number of tablespoons, find the number of cups:
1. Since he needs 2 cups, he can use 2×16=32 tablespoons.
2.Since he needs 1/2 cup, he can use 1/2×16=8 tablespoons.
He needs 1 1/4 cups. 1 cup is 16 tablespoons. 1/4 cup is 1/4×16=4 tablespoons. So altogether he needs 16+4=20 tablespoons.Given a number of cups, find the number of tablespoons:
I already found that 20 tablespoons is 1 1/4 cups. So for 28 tablespoons I need an additional 8 tablespoons, or an additional 1/2 cup. 1 1/4+1/2=1 3/4, so 28 tablespoons gets him 1 3/4 cups. (Alternatively, we might say that 1 tablespoon is 1/16 cups. 1/16×28=28/16, which we can rewrite as 1 12/16 or 1 3/4.)
I notice that to convert from tablespoons to cups, I always divide by 16. 6÷16=6/16, which we can write as 1 3/8. (Alternatively, 1 tablespoon is 1/16 cups. 1/16×6=6/16, which we can rewrite as 1 3/8.)
Step-by-step explanation:
consider the triangle
Quadrilateral ABCD is rotated 90° about the origin. What are the coordinates
of quadrilateral A'B'C'D?
Answer:
Its A
Step-by-step explanation:
Answer:
A'(5,-5) ,B'(1,-5) ,C'(1,-2) ,D'(5,-1)
Please help!! Need help with this algebra question quickly!!
Answer:
The area would be:-
(x-2) multiplied by (2x-1)
So, the answer would be
= [tex]2x^{2} -5x + 2[/tex]
Which is equal to the cos ÐR?
PLEASE HELP ME
Answer: 4/5 = .8
cos adj/hyp of r is .8
HOWEVER...
I’m assuming it’s talking about angle R...
What is 4 nickels to 2 dollars
Answer: b
Step-by-step explanation:
Answer:
How many nickels make a 2 dollars?
40 nickels
50 per penny roll or 40 nickels to complete a $2 roll, the denominations can become less self-explanatory the higher the face value and physical thickness of a coin
What is the surface area?
Answer:
212
Step-by-step explanation:
hope you will understand
Which of the following is not true when using the confidence interval method for testing a claim about μ when σ is unknown? Choose the correct answer below. A. The P-value method and the classical method are not equivalent to the confidence interval method in that they may yield different results. B. The P-value method, the traditional method, and the confidence interval method are equivalent and yield the same results. C. For a two-tailed hypothesis test with a 0.05 significance level, one must construct a 95% confidence interval. D. For a one-tailed hypothesis test with a 0.05 significance level, one must construct a 90% confidence interval.
Answer:
The P-value method and the classical method are not equivalent to the confidence interval method in that they may yield different results ( A )
Step-by-step explanation:
The False statement about using the confidence interval method when testing a claim about μ when σ is unknown is ; The P-value method and the classical method are not equivalent to the confidence interval method in that they may yield different results
This is because sometimes the values gotten from the p-value and confidence interval differs and this occurs mostly when the sample size is very small.
29. A number divided by 8 gives answer 27, remainder 4. Find the number.
Answer:
220
Step-by-step explanation:
Divisor • Quotient + Remainder = Dividend
The divisor is 8, the quotient is 27, the remainder is 4.
27 • 8 = 216; 216+ 4= 220 (Don’t forget that multiplication is commutative, so 8 & 27 can swap places!) 220 is the number that when divided by 8 gives 27 remainder 4.
In simpler way
Dividend = divisor × quotient + remainder.
Divisor = 8, quotient = 27, remainder = 4.
Dividend = (8×27)+4,
= 216+ 4
= 220
The number is 220.
For proof
Complete the square
to find the vertex
of this parabola.
y^2+4x - 2y+21=0
Answer:
::::::::::::::::::::
(-5,1)
The vertex of the parabola represented by the equation y² + 4x - 2y + 21 = 0 is (-5, 1).
The parabola is represented by the equation y² + 4x - 2y + 21 = 0.
Take the coefficient of y, which is -2, divide it by 2, and square the result:
(-2/2)² = 1
Now, we add and subtract this value inside the parentheses to maintain the equation's balance:
y² - 2y + 1 + 4x + 21 - 1 = 0
Rearranging the terms, we have:
(y² - 2y + 1) + 4x + 20 = 0
Now, the terms inside the parentheses can be written as a perfect square:
(y - 1)² + 4x + 20 = 0
Setting (y - 1)² = 0,
(y - 1)² = 0
y - 1 = 0
y = 1
Substitute y = 1 back into the equation to find the x-coordinate of the vertex:
(1 - 1)² + 4x + 20 = 0
0 + 4x + 20 = 0
4x = -20
x = -5
Therefore, the vertex of the parabola is (-5, 1).
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The number 31.5 is 37.5% of what number?
A. 69
B. 84
C. 315
D. 375
Answer: B
Step-by-step explanation:
What is m∠G to the nearest tenth? A right angle triangle EFG. The length of EF is 28.2 and GF is 45.8. Angle GFE is given as 90 degrees.
Answer:
31.6°
Step-by-step explanation:
The triangle given us a right angled Triangle
We solve the above question using the trigonometric function of Tangent
The formula is given as:
tan θ = opp/adj
θ = m∠G = ?
Opposite = EF is 28.2
Adjacent = GF is 45.8
tan θ = 28.2/45.8
θ = arc tan (28.2/45.8)
θ = 31.621459805°
Approximately
m∠G = 31.6°
What is the measure of AC?
D
30°
90 E
90° B
A. 1200
B. 150°
C. 90°
с
O D. 30°
What is the volume of the right rectangular prism 
Answer:
432
Step-by-step explanation:
V=length×width×height
= 8×6=48
=48×9=432
Answer:
[tex]432{mm}^{3} [/tex]
Step-by-step explanation:
[tex]9mm \times 6mm \times 8mm = 432 {mm}^{3} [/tex]
Help what type of function is this
17. Find the value(s) of the variable(s). If necessary, round decimal answers to the nearest
tenth.
15
51
a x = 19.3, y = 12.1
b. x 23.8, y = 18.5
C. x = 12.1, y = 19.3
d. x = 18.5, y = 23.8
Answer:
C.
Step-by-step explanation:
The answer should be less than 15 for x since its the smallest side and C is the only answer that has that.
She walks 2 minutes for every 5 she runs. If she walks for 12 minutes how many minutes does she spend running?
Determine the slope between these these points
Answer:
-12/5
Step-by-step explanation:
The Martinez Company has just completed a physical inventory count at year end, December 31, 2022. Only the items on the shelves, in storage, and in the receiving area were counted and costed on the FIFO basis. The inventory amounted to $81,600. During the audit, the independent CPA discovered the following additional information:
(a) There were goods in transit on December 31, 2022, from a supplier with terms FOB destination, costing $9,800. Because the goods had not arrived, they were excluded from the physical inventory count.
(b) On December 27, 2022, a regular customer purchased goods for cash amounting to $1,150 and had them shipped to a bonded warehouse for temporary storage on December 28, 2022. The goods were shipped via common carrier with terms FOB shipping point. The customer picked the goods up from the warehouse on January 4, 2023. Martinez Company had paid $575 for the goods and, because they were in storage, Martinez included them in the physical inventory count.
(c) Martinez Company, on the date of the inventory, received notice from a supplier that goods ordered earlier, at a cost of $3,500, had been delivered to the transportation company on December 28, 2022; the terms were FOB shipping point. Because the shipment had not arrived on December 31, 2022, it was excluded from the physical inventory.
(d) On December 31, 2022, there were goods in transit to customers, with terms FOB shipping point, amounting to $760 (expected delivery on January 8, 2023). Because the goods had been shipped, they were excluded from the physical inventory count.
(e) On December 31, 2022, Martinez Company shipped $2,400 worth of goods to a customer, FOB destination. The goods arrived on January 5, 2023. Because the goods were not on hand, they were not included in the physical inventory count.
(f) Martinez Company, as the consignee, had goods on consignment that cost $2,700. Because these goods were on hand as of December 31, 2022, they were included in the physical inventory count.
Analyze the above information and calculate a corrected amount for the ending inventory.
-2a + 5b + 6a + 8b combine like terms
Answer:
4a + 13b
Step-by-step explanation:
-2a + 5b + 6a + 8b
combine like terms:
4a + 13b
Answer:
4a+13b
Step-by-step explanation:
-2a+6a+5b+8b. group like terms
4a+13b
PLS HELP FOR 78 POINTS AND PLS NO POINTLESS LINKS
Answer:
1. 12.9
2. 14
Step-by-step explanation:
11, 18, 7, 14, 5, 16, 14. 18
Added Together it is 103.
Divided by 8, it is around 12.9
5, 7, 11, 14, 14, 16, 18, 18
Answer:
12.9 and 14Step-by-step explanation:
Given data:
11, 18, 7, 14, 5, 16, 14, 18Mean is the average:
(11 + 18 + 7 + 14 + 5 + 16 + 14 + 18)/ 8 = 12.875 ≈ 12.9Put the data in the ascending order, the median is the average of the two middle numbers when number of data is even:
5, 7, 11, 14, 14, 16, 18, 18Median is 14 as both middle numbers are sameA line passes through the points (-1,4) and (4,-2). Find the equation of the line in slope intercept form.
Answer:
Your Answer mark me as brainlist
Step-by-step explanation:
slope = "rise over run" the difference in y values divided by the difference in x values
= 6/-3 = -2 = m. It's negative because as x increases, y decreases
plug that into the point slope formula, with either point. generally use the most simple point
y-h= m(x-k) where m= -2 and (k,h) = (2,-2)
y+2 = -2(x-2)
simply if you want
Y = -2x +4 -2 = -2x +2
or
2x +y = 2
What is C= 5/9 F−32)
Btw / (like in 5/9) is a way I use fractions c:
Answer:
f = 9c 5 + 288/5
Step-by-step explanation: