Answer: Option D is correct.
Step-by-step explanation: An exponential function is in the form of where a is the initial value and b≠ 0 , b >1 .
Given: The function f(x) = y = ......[1]
The domain is all real numbers and the range is y > 0.
y-intercept defined as the graph crosses the y-axis.
Substitute the value of x= 0 in [1] to solve for y;
y = = 4
y-intercept = (0, 4)
End behavior:
when b =3 >1
then;
as ,
as ,
therefore, the only graph which represents the function y = is Option D
DEF, find the length of d, to the nearest tenth, given that ∠D=110o, e = 10cm and f = 14cm.
Answer:
d = 19.8 cm
Step-by-step explanation:
Use the law of cosines
[tex]d^{2} = e^{2} + f^{2} -2ef cos D\\d^{2} = 10^{2} + 14^{2} -2(10)(14) cos 110\\[/tex]
= 100 + 196 - 280 cos 110
= 296 - (-95.765640)
= 391.765640
[tex]d = \sqrt{391.7656401}[/tex]
d = 19.8 cm
please help 25 points
Answer:
P = 55[tex]\sqrt{10}[/tex] or 174 feet
Step-by-step explanation:
Megan ran 1 3/4 miles. What is this as an improper fraction?
Answer:
Yes it is improper fraction
Which set of ordered pairs represent y as a function of x?
a) {(-5,3) (6,2) (8,-9) (-5,4)}
b) {(9,4) (8,4) (9,5) (8,5)}
c) {(6,8) (7,8) (8,8) (9,9)}
d) {(-7,4) (-7,5) (-7,10) (-7,6)}
Answer:
The quadratic equations and their solutions are;
9 ± √33 /4 = 2x² - 9x + 6.
4 ± √6 /2 = 2x² - 8x + 5.
9 ± √89 /4 = 2x² - 9x - 1.
4 ± √22 /2 = 2x² - 8x - 3.
Explanation:
Any quadratic equation of the form, ax² + bx + c = 0 can be solved using the formula x = -b ± √b² - 4ac / 2a. Here a, b, and c are the coefficients of the x², x, and the numeric term respectively.
We have to solve all of the five equations to be able to match the equations with their solutions.
2x² - 8x + 5, here a = 2, b = -8, c = 5. x = -b ± √b² - 4ac / 2a = -(-8) ± √(-8)² - 4(2)(5) / 2(2) = 8 ± √64 - 40/4. 24 can also be written as 4 × 6 and √4 = 2. So x = 8 ± 2√6 / 2×2= 4±√6/2.
2x² - 10x + 3, here a = 2, b = -10, c = 3. x =-b ± √b² - 4ac / 2a =-(-10) ± √(-10)² - 4(2)(3) / 2(4) = 10 ± √100 + 24/4. 124 can also be written as 4 × 31 and √4 = 2. So x = 10 ± 2√31 / 2×2 = 5 ± √31 /2.
2x² - 8x - 3, here a = 2, b = -8, c = -3. x = -b ± √b² - 4ac / 2a = -(-8) ± √(-8)² - 4(2)(-3) / 2(2) = 8 ± √64 + 24/4. 88 can also be written as 4 × 22 and √4 = 2. So x = 8 ± 2√22 / 2×2 = 4± √22/2.
2x² - 9x - 1, here a = 2, b = -9, c = -1. x = -b ± √b² - 4ac / 2a = -(-9) ± √(-9)² - 4(2)(-1) / 2(2) = 9 ± √81 + 8/4. x = 9 ± √89 / 4.
2x² - 9x + 6, here a = 2, b = -9, c = 6. x = -b ± √b² - 4ac / 2a = -(-9) ± √(-9)² - 4(2)(6) / 2(2) = 9 ± √81 - 48/4. x = 9 ± √33 / 4 .
Step-by-step explanation:
Answer with Explanation:
To qualify as a function, each x value may not have more than 1 Y value.
This rules out A, B, and D.
The answer is C.
Why is A incorrect? -5 (the x value) has more than one y value so it is wrong.
Why is B incorrect? 9 (the x value) has more than one y value so it is wrong.
Why is D incorrect? -7 (the x value) has more than one y value so it is wrong.
You can also use the vertical line test to graph these pairs. Then, test by drawing a vertical line through the graph. If the vertical line goes through more than 1 pair, it is not a function.
solve 4x² - 3x - 2 = 0
give your solutions to 3 significant figures
Answer:
x=1.18
x=0.425
Step-by-step explanation:
none needed <3
Last year Emily invested some money and had gained 8% profit and her friend, Samira invested some money and gained 9% profit. Their total profit on the two investments was $1720. This year they each decided to invest the same amount of money as last year. Emily gained 7% profit this year and Samira gained 6%. If they receive a total profit of $1280, how much money did Emily invest? Answer.
Answer:
Emily's investment = $8,000
Step-by-step explanation:
Let Emily's invested amount = x
Let Samira's amount = y
8% of Emily's amount = 8/100 × x = 0.08x
9% of Samira's amount = 9/100 of y = 0.09y
∴ 0.08x + 0.09y = 1720
multiplying through by 100
8x + 9y = 172000 - - - - - (1)
7% of Emily's amount = 0.07x
6% 0f Samira's amount = 0.06y
0.07x + 0.06x = 1280
multiplying through by 100
7x + 6y = 128000 - - - - - - (2)
Next, let us subtract eqn 2 from eqn 1
equation (1) - equation 2
8x + 9y = 172000
-
7x + 6y = 128000
= x + 3y = 44000 - - - - (3)
from eqn (3) x = 44000 - 3y - - - - - (4)
putting this value of x into eqn 1
8x + 9y = 172000
8 (44000 - 3y) + 9y = 172000
352000 - 24y + 9y = 172000
-15y = 172000 - 352000 = -180000
y = 180000 ÷ 15
y = $12,000
finding x using eqn (4)
x = 44000 - 3y
x = 44000 - 3(12000)
x = 44000 - 36000
x = $8,000
∴ Emily's investment = $8,000
0=1-2y+14x what is the slope and the y-intercept
Answer:
slope: 7
y-intercept: 1/2
Step-by-step explanation:
Put it into the form y = mx + b where m is the slope and b will be the y-intercept. (For example, in the equation y = 3x + 2 the slope is 3 and the y-intercept is 2).
[tex]0=1-2y+14x\\2y=1+14x\\2y = 14x+ 1\\y = 7x + 1/2[/tex]
So you know that m = 7, so the slope is 7
and
b = 1/2, so the y-intercept is 1/2.
The system of equations y = -2x+4 and
y = $x-3 is graphed below. What is the
solution to the system of equations?
Y
2
-1
Plsss help anyone
Answer:
The answer is (3,-2)
Step-by-step explanation:
[tex] \frac{1}{3} x - 3 = - 2x + 4 \\ \frac{1}{3} x + 2x = 7 \\ \frac{7}{3} x = 7 \\ x = 3 \\ then \: \\ y = - 2[/tex]
Write a System of Equations to solve the following problem:
The county fair is a popular field trip destination. This year the senior class at High School A and the senior class at High School B both planned trips there. The senior class at High School A rented and filled 13 vans and 2 buses with 211 students. High School B rented and filled 4 vans
and 4 buses with 268 students. Each van and each bus carried the same number of students. Find the number of students in each van and in each bus.
#students each VAN can carry:
#students each BUS can carry:
Answer:
each van carries 7 students
each bus carries 60 students
Step-by-step explanation:
let v = # students in a van
let b = # students in a bus
system of equations:
13v + 2b = 211
4v + 4b = 268
I multiplied the 1st equation by -2 to eliminate the 'b' terms
-26v - 4b = -422
+ 4v + 4b = 268
-22v = -154
v = 7
substitute '7' for 'v':
4(7) + 4b = 268
28 + 4b = 268
4b = 240
b = 60
Answer:
13v + 2b = 211
4v + 4b = 268
#students each VAN can carry: 7
#students each BUS can carry: 60
Step-by-step explanation:
Let v = number of students in each van.
Let b = number of students in each bus.
High School A:
13v + 2b = 211
High School B:
4v + 4b = 268
The system of equations is
13v + 2b = 211
4v + 4b = 268
We will solve this system of equation with the addition method.
Write the first equation as it is. Divide both sides of the first equation by 2 and write it below the first equation. Then add the equations.
13v + 2b = 211
(+) -2v - 2b = -134
----------------------------
11v = 77
Divide both sides by 11.
v = 7
Substitute 7 for v in the first original equation and solve for b.
13v + 2b = 211
13(7) + 2b = 211
91 + 2b = 211
Subtract 91 from both sides.
2b = 120
Divide both sides by 2.
b = 60
Answer:
13v + 2b = 211
4v + 4b = 268
#students each VAN can carry: 7
#students each BUS can carry: 60
what the answer and how do I solve it?
Answer:
5xy^2z
Step-by-step explanation:
(-15/-3) x (x^6/x^5) x (y^5/y^3) x z = 5xy^2z
Answer:
[tex]5xy^2z[/tex]
Step-by-step explanation:
Please help me!!! I need soooo much help
Answer: option 3
Step-by-step explanation:
On a pen stand, there are 240 pens. Out of these, 80 are red and the rest are blue. Find the ratio of blue pens to the total number of pens.
Please give fast ill give brainly
Answer: it's 3 to 1
Step-by-step explanation: 3 red to 1 blue just trust in the process ill explain in the comments so you get this answer fast
LAST QUESTION PLEASE HELP ME
Answer:
t = 28
Step-by-step explanation:
56 = 2t
t = 56 / 2
t = 28
Hope that helps!
Answer: t= 28
Step-by-step explanation:
Isolate t by dividing both sides by 2.
A rectangle has length (x + 5)cm and width (x –2)cm. Its area is 60 cm 2
Area = length x width
60 = (x+5) (x-2)
60 = x^2 + 3x -10
Subtract 60 from both sides:
x^2 +3x -70 = 0
Solve for x by finding 2 numbers when added together = 3 and when multiplied by each other = -70
x = -10 and 7
Since the sides have to be a positive number we need to use 7
The length = x+5 = 7+5 = 12 cm
The width = x-2 = 7-2 = 5 cm
Part I : Write the type of polynomial next to the terms (monomial, binomial, trinomial)
1. 6x-4
2. x2-2xy-7
3. 26b2
4. -8
Part II: Write the polynomial in standard form
5. 12+5y+6xy+8xy2
6. 34x+9x4+3x7-4x2
Part III: Adding polynomials
7. (p3+5p2+9p-6)+(5p3-8p+1)
8.(2p4+3p+9) +(4p4+3p3+p)
Answer:
Part I:
1. binomial
2. trinomial
3. monomial
4. monomial
Part ll :
5. 8xy2 + 6xy + 5y + 12
6. 9x4 + 3x7 - 4x2 + 34x
Part lll:
7. (p3+5p2+9p-6)+(5p3-8p+1)
= p3 + 5p2 + 9p - 6 + 5p3 - 8p + 1
= 6p3 + 5p2 + p - 5 ( add all the like terms i. e. those terms having the same power)
8. (2p4+3p+9) +(4p4+3p3+p)
= 2p4 + 3p + 9 + 4p4 + 3p3 + p
= 6p4 + 3p3 + 4p + 9 ( adding all the like terms i. e. those terms having same power )
Hope this helped you
Hope this helped you ALL THE BEST !!
1/3x - 8 = 32 *
pls help
Answer:
120
Step-by-step explanation:
1/3x-8=32
1/3x=32+8
1/3x=40
x=40/(1/3)
x=(40/1)(3/1)
x=120/1
x=120
Juanita studied 3/2 hours on Saturday and 5/4 hours on Sunday. How many total hours did she study those two days?
Answer:
11/4
Step-by-step explanation:
3/2 can be re-written as 6/4. they now have the same denominator. 6/4 + 5/4 = 11/4
how many ml in 0.006
Answer:
6ml
Step-by-step explanation:
Answer:
if 0.006 l= 6ml
Step-by-step explanation:
Please help due in 19 minutes
Answer:
42 yd
Step-by-step explanation:
Formula for the area of a rhombus is the length times the width, all divided by 2. A is given as 26, and the total is 546, so the equation is set up like this:
[tex]\frac{26d}{2} =546[/tex]
(Solving for d)
First, multiply both sides by 2 to get:
26d = 1,092
Then, divide both sides by 26 to isolate the variable d:
d = 42
HELP ME PLEASE!!!!!!!!
Answer:
10
Step-by-step explanation:
(4 * 5) / 2 = 20 / 2 = 10
Answer:
Triangle R and triangle S are congruent triangles, so finding the area of triangle S would give us the area of triangle R.
The area of a triangle can be calculated as 1/2(bh), where b is the base and h is the height.
In this case, we have: 1/2(5)(4). This simplifies to 10.
So, the area of triangle R is 10 square meters.
Let me know if this helps!
I need help with math if you don't know the answer get out of the question and don't answer it and give the wrong answer or some link or even say "I don't know" or anything like that it's not fair to me cause it a waste of my points and time I will report your if you do that :) have a nice day and stay safe. PEOPLE WORK HARD FOR THERE POINTS IF YOU DON'T KNOW
Answer:
Number 4 is: A,E,F
Step-by-step explanation:
help thanks for brainliest
Answer:
one ton :)
Step-by-step explanation:
Answer:
ton?
Step-by-step explanation:
i think lol ° • .°• ✯
★ * ° °·
. • ° ★ • ☄
▁▂▃▄▅▆▇▇▆▅▄▃▁▂
6,816 divided by 32?
Answer:
213
Step-by-step explanation:
Answer:
213
Step-by-step explanation:
75.854 expanded form
Answer:
70+5+0.8+0.05+0.004
Step-by-step explanation:
Hi :)))))))))))))))))
Answer:
Answer:
Step-by-step explanation:
Hello!
Have a great day!
Help plsssssssssssssssssssssss
Explanation:
5.
The initial cost is $65.42
25% of 65.42 is 16.355
Add 16.355 + 65.42 and the total cost is: $81.78
6.
The initial cost is $12.50
3.2% of 12.50 is 0.4
Add 0.4 + 12.50 and the total cost is: $12.90
Simplify the following equation. n + 9 = 14
Answer:
n=5
Step-by-step explanation:
subtract 9 from both sides to get n by itself
Answer:
n=5
Step-by-step explanation:
move the constant to the right which is the 14 n=14-9
then you subtract 14 with 9
n=5
A laptop used to cost $999
was marked down to $850.
What was the percent of
markdown?
Answer:
The answer is 17.53 percent.
Step-by-step explanation:
Good luck!
Pleaseee answer correctly !!!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!
Answer:
OS is congruent to SQ
Step-by-step explanation:
Volume of the pyramid
