Answers
F(x)=3x^2+4x
G(x)=2x^2-x+1
The two x^2 items are both positive and are added together to be 5x^2
The two x items would be added together to get 3x cause of the -x
Then +1 is just +1
Making the equation 5x^2+3x+1
If we were subtracting you would be absolutely correct, but since we are adding would go the opposite direction.
I hope this helps!
Answer: 5x^2+3x+1
Step-by-step explanation:
Solving for (f+g)(x) add both functions so
(3x^2+4x)+(2x^2-x+1)
Add like terms
3x^2+2x^2=5x^2
4x+-x=3x
+1
Add terms
5x^2+3x+1
Related Questions
Which one? Please be honest.
Answers
Answer:
x = 24, y = 19
Step-by-step explanation:
Form the question,
Note: opposite side of a parallelogram are equal.
From the diagram,
2x-8 = x+16
Solve for x.
Collect like terms
2x-x = 16+8
x = 24.
Also,
2y = y+19
Solve for y
Collect like terms
2y-y = 19
y = 19.
Hence, x = 24, y = 19.
The first option is correct
Nikea went running three days in a row. She ran 3 1/2 miles on Monday. She ran the same distance on Tuesday as she did on Wednesday. She ran a total of 7 1/4 miles on all three days. Which of these equations can be used to find the numbers of miles, x, that Nikea ran on Tuesday and Wednesday? Select all that apply.
A. 2x=7 1/4−3 1/2
B. 2x +3 1/2 = 7 1/4
C. 3 1/2 + x + x = 7 1/4
D. 3 1/2 + x = 7 1/4
E. 7 1/4 + 3 1/2 =2x
Answers
Answer; A B and C are the correct answers also please do not follow the other links answer
Step-by-step explanation:
If your credit card is stolen and the thief runs up a total debt of $1,000, but you notify the issuer of the card as soon as you discover it is missing, what is the maximum amount that you must pay according to Federal law?
Answers
Answer:
50 dollars
Step-by-step explanation:
college website
You take measurements of the distance traveled by an object that is increasing its speed at a constant rate. The distance traveled d as a function of time t can be modeled by a quadratic function. What is the quadratic function that models distances of 21 ft at 1 s, 59 ft at 2 s, and 141 ft at 4 s?
Answers
Answer:
Follows are the solution to this question:
Step-by-step explanation:
Given:
[tex]s_1 = 21 \ \ t_1 = 1\\\\s_2 = 59 \ \ t_2 = 2\\\\s_3 = 141 \ \ t_3 = 4[/tex]
All points are on the graph including its quadratic function, in order to install their coordinates to values of x and y with the following values:
[tex]y= ax^2 + bx + c\\\\21=a+b+c[/tex] Inserting the coordinates of the first point
[tex]y= ax^2 + bx + c\\\\59 =4a+2b+c[/tex] Inserting the coordinates of the second point
[tex]y= ax^2 + bx + c\\\\141=16a+4b+c[/tex] Inserting the coordinates of the third point
you start at 7,2 then move 5 units left and 6 units up
Answers
Answer:
Im pretty sure its (2,8).
Step-by-step explanation:
can someone help me with the equation and the diagram and the answers for this question please and thank you
Answers
Answer:
i dont know about the diagram but the answer is 9
Step-by-step explanation:
a bag contains 5 blue, 8 red, and 7 green marbles. a marble is selected at random. Write each answer as a fraction, percent, and a decimal.
Answers
Answer:
1/4 and 0.25 and 25% chance for blue, 2/5 and 0.4 and 40% chance for red, and 7/20 and 0.35 and 35% for green.
Step-by-step explanation:
add all the marbles (20) and that’s the total. then however many marbles in the color that’s the top number in the fraction. divide the top number by the bottom number to get the decimal and move the decimal 2 spaces to the right to get the percent.
The speed of boat in still water is 15km/hr if needs 4 more his to travel 63 km against the current of a river than it needs to travel down the river determine the system of equation
Answers
Answer:
[tex]\frac{63}{15 - c} - \frac{63}{15 + c} = 4[/tex]
Step-by-step explanation:
The systems of equations are
Let us assume the rate of the current be c
Now actual speed against the current is (15 - c)
And, the actual speed with the current is (15 + c)
Here we applied the time formula i.e. distance by speed
Also the upstream time - downstream time = 4
Now the equations are
[tex]\frac{63}{15 - c} - \frac{63}{15 + c} = 4[/tex]
5. The perimeter of the shown
triangle is 21 cm. Find the lengths
of its sides.
7x - 5
7 - 3(x - 1)
14 - 3x
Answers
Answer:
7 cm
Step-by-step explanation:
An equilateral triangle has all sides equal.
To find the measure of the side, simply divide the perimeter by 3. This is because a triangle has 3 sides.
21 ÷ 3 = 7
The difference between the roots of the quadratic equation x^2-14x+q=0 is 6. Find q.
Answers
Answer:
The value of q is 40
Step-by-step explanation:
In the quadratic equation ax² - bx + c = 0, where
a = 1
b is the sum of its two roots
c is the product of its two roots
Assume that the roots of the quadratic equations are x and y
∵ The quadratic equation is x² - 14x + q = 0
∴ a = 1 , b = 14 and c = q
∵ b is the sum of its two roots
∵ Its roots are x and y
∴ x + y = 14 ⇒ (1)
∵ The difference between the roots is 6
∴ x - y = 6 ⇒ (2)
Now we have a system of equation to solve it
Add equations (1) and (2)
∴ 2x = 20
- Divide both sides by 2
∴ x = 10
Substitute the value of x in equation (1) or (2) to find y
∵ 10 + y = 14
- Subtract 10 from both sides
∴ y = 4
∵ c is the product of the two roots
∴ c = 10 × 4 = 40
∵ c = q
∴ q = 40
The value of q is 40
Using the dimensions shown, you could create a rectangular prism. Caculate the surface area for the rectangular prism. A 30m2 b 56m2 c 60m2 d 112m2
Answers
Answer:
550ft²
Step-by-step explanation:
Since we are not given the dimension of the rectangular prism. Let us assume;
Length of the rectangular base L = 10ft
Width of the rectangular base W = 15ft
height of the prism H = 5ft
Total surface area of the prism = 2(LW + WH + LH)
Substitute the given values
Total surface area of the prism = 2{10*15 + 15*5 + 10*5}
Total surface area of the prism = 2(150+75+50)
Total surface area of the prism = 2(275)
Total surface area of the prism = 550ft²
Which graph represents the table below?
х
-1
0
1
y
4
1
-2
Answers
help me pls AAAAAAAA
Answers
Answer:
10/3 liters
Step-by-step explanation:
Divide (4/3) by 2, then multiply by 5
Answer:
10/3 liters
Step-by-step explanation:
Your welcome, hope this helps you
Which is an example of a quadratic trinomial
Answers
Answer:
Option 1 4x^3+6x^2-10x
Step-by-step explanation:
when the highest value for x has a cube root, it is a trinomial. Tri for 3. When it is squared it is a binomial. Bi for 2.
Hope that helps :)
A bag contains 90 marbles. some green and some transparent. The ratio of green
marbles to transparent ones is 3.2. How many green marbles are there?
Answers
Answer:
54 green marbles
Step-by-step explanation:
So green : transparent = 3:2
so 3+2=5 and 3*90/5 = 54 green marbles
the perimeter of a rectangular red sticker is 34 mm. it is 8 mm tall. how wide is it?
Answers
Answer:
9 mm wide
Step-by-step explanation:
Perimeter = length x 2 + width x 2
34 mm = 16 mm + ?
34mm = 16 mm + 18 mm
18/2 = 9
9 mm wide
Answer:
p=2L+2W
34mm=(2×8)+2W
34mm=16+2W
2W=34mm-16mm
2W=18mm
W=9mm
Geomotry 10th grade easy 25 points
Answers
Answer: 1=60°
Step-by-step explanation:
First, let's take our given angle of 30°
30° is in a right triangle, so the angles must be 90°, 60°, and 30°
Now the angle that is 45° makes angle 1 congruent to angle 60°
Meaning angle 1 is 60°
Answer:
m < 1 = 60
Step-by-step explanation:
Since the transversal is perpendicular to m,
it implies that the triangle formed by the perpendicular transversal, the slant transversal and the line m is a right angle triangle.
We use vertically opposite angles property to bring m<1 in to the right triangle.
We now use the sum of interior angles property to obtain,
m < 1 + 30 + 90 = 180
This implies that,
m < 1 + 120 + 180
We group like terms to obtain,
m < 1 = 180 - 120
This means that,
m < 1 = 60
We could have also used corresponding angles property, then
m < 1 + 30 = 90
m < 1 = 90 - 30
m < 1 = 60
Cual es el valor absoluto de 6.3
Answers
Answer:
Usamos la notación para decir "el valor absoluto de -2", lo cual significa "la distancia de -2 al 0 en la recta numérica". ... 6.3: Altitud y temperatura absoluta.
7y - 2 3/4 = 1/2 solve these equation
Answers
Answer:
y = [tex]\frac{13}{28}[/tex]
Step-by-step explanation:
Given
7y - 2 [tex]\frac{3}{4}[/tex] = [tex]\frac{1}{2}[/tex] ( change the mixed number to an improper fraction )
7y - [tex]\frac{11}{4}[/tex] = [tex]\frac{1}{2}[/tex] ( multiply through by 4 to clear the fractions )
28y - 11 = 2 ( add 11 to both sides )
28y = 13 ( divide both sides by 28 )
y = [tex]\frac{13}{28}[/tex]
Answer: y= 13/28
1. Convert 2 3/4 to improper fraction. Use this rule: a b/c = ac+b/c.
7y - 2 • 4 + 3 / 4 = 1/2
2. Simplify 2 • 4 to 8.
7y - 8 + 3 / 4 = 1/2
3. Simplify 8 + 3 to 11.
7y - 11/4 = 1/2
4. Add 11/4 to both sides.
7y = 1/2 + 11/4
5. Simplify 1/2 + 11/4 to 13/4.
7y = 13/4
6. Divided both sides by 7.
Y= 13/4 / 7
7. Simplify 13/4 / 7 to 13 / 4 • 7.
Y = 13 / 4 • 7
8. Simplify 4 • 7 to 28.
Y= 13/28
Last year, all purchases of a certain product were made either online or in a store. If 55 percent of the purchases were made online, what was the ratio of the number of
purchases made online to the number of purchases made in a store?
Answers
Hope this helps!
Line d has a slope of 3/2. Line e has a slope of -2/3. Are line d and line e parallel or
perpendicular?
Answers
Answer:
We can determine from their equations whether two lines are parallel by comparing their slopes. If the slopes are the same and the y-intercepts are different, the lines are parallel. If the slopes are different, the lines are not parallel. Unlike parallel lines, perpendicular lines do intersect
Tyler has 3 times as many books as Mai. How many books does Mai have if Tyler has 21 books?
Answers
Step-by-step explanation:
Say 21 divided by 3, which gives you 7
So mai has 7 books
Answer:
Mai has 7 books
Step-by-step explanation:
Tyler has 21 books and 3 times more than Mai
21/3 = 7
The table shows the running speeds of 10 randomly selected ostriches. Speed (mlles per hour) 35 40 37 33 36 34 32 36 41 36 Based on the data, select the most reasonable prediction about the speed of ostriches.
A. The typical ostrich runs at speeds greater than 40 miles per hour
B. The top speed of an ostrich is 40 miles per hour.
C. The typical ostrich runs at a speed of about 30 miles per hour
D. The typical ostrich runs at a speed of about 36 miles per hour.
Answers
Answer:
D;the tropical ostrich runs at a speed of about 36 miles per hour
Answer: It is D, The typical ostrich runs at a speed of about 36 miles per hour.
Step-by-step explanation:
I took the quiz on A p e x^^
Simplify the expression:
8(-4 + 3) =
Answers
Answer:
- 8
Step-by-step explanation:
8( - 4 + 3)
- 32 + 24
- 8
Answer:
-8
Step-by-step explanation:
Bonnie deposits $70.00 into a new savings account.
• The account earns 4.5% simple interest per year.
• No money is added or removed from the savings account for 3 years.
What is the total amount of money in her savings account at the end of the 3 years?
A. $9.45
B. $79.45
C. $94.50
D. $164.50
Answers
Answer:
B. $79.45
Step-by-step explanation:
The equation for simple interest is I = PRT, where I = interest earned, P = principal/amount invested, R = rate as a decimal, and T = time in years.
For this example, we'll calculate the interest earned, then add to the principal to get the total amount of money in her account.
I = (70)(0.045)(3)
I = 9.45
70 + 9.45 = $79.45
Please let me know if you have questions.
Which of the following is another way of expressing 4 out of 5
Answers
Answer:
4/5
Step-by-step explanation:
I believe this is looking for a fraction? 4 over 5 or 4/5 means 4 out of 5.
In ΔMNO, the measure of ∠O=90°, NO = 1.8 feet, and OM = 3.6 feet. Find the measure of ∠M to the nearest tenth of a degree.
Answers
Explanation- tan-1(1.8/3.6)=26.56°
Answer:26.6
Step-by-step explanation:
delta math right ?
Create a linear equation in the slope-intercept form that contains points (2,-8) and (6,-4). PLSSS HELPP Giving brainliest.
Answers
Answer:
y = x - 10
Step-by-step explanation:
(2,-8) and (6,-4)
m=(y2-y1)/(x2-x1)
m= (-4 + 8)/(6-2)
m= 4/4
m=1
y - y1 = m(x - x1)
y + 8 = 1(x - 2)
y + 8 = x - 2
y = x - 10
can anyone help!
WITH STEPS!
Answers
Answer:
When we have something like:
[tex]\sqrt[n]{x}[/tex]
It is called the n-th root of x.
Where x is called the radicand, and n is called the index.
Then the term:
[tex]\sqrt[4]{16}[/tex]
is called the fourth root of 16.
And in this case, we can see that the index is 4, and the radicand is 16.
At the end, we have the question: what is the 4th root of 16?
this is:
[tex]\sqrt[4]{16} = \sqrt[4]{4*4} = \sqrt[4]{2*2*2*2} = 2[/tex]
The 4th root of 16 is equal to 2.
que fait 2au carré plus 5
Answers
Answer:
The answer is 9.
Step-by-step explanation:
2 squared = 4
4 + 5 = 9