Graph the functions on the same coordinate axis.
S f(x) = x + 1
1 g(x) = x² - 6x - 7
What are the solutions to the system of equations?
Select each correct answer.
(1, 2)
(6, 7)
(-1,0)
(-8, – 7)
(8,9)
Answers
Answer:
(-1,0) and (8,9)
Step-by-step explanation:
The solution will be obtained when f(x) = g(x)
Mathematically;
x + 1 = x^2-6x-7
x^2-6x-x-7-1 = 0
x^2-7x-8 = 0
x^2-8x + x -8 = 0
x(x-8) + 1(x-8) = 0
(x+1)(x-8) = 0
x = -1
x = 8
so let us get the f(x) and g(x) values
For x + 1
-1 + 1 = 0
8 + 1 = 9
Points are;
(-1,0) and (8,9)
Related Questions
Given that f(x) = x^2 + 16x + 63 and g(x) = x + 9, find f(x) + g()
Answers
Answer:
f(x) + g(x) = x² + 17x + 72
If you want to factor that, then it comes out as:
f(x) + g(x) = (x + 8)(x + 9)
Step-by-step explanation:
[tex]f(x) + g(x)\\= x^2 + 16x + 63 + x + 9\\= x^2 + 17x + 72\\= (x + 8)(x + 9)[/tex]
Help....i don't remember even going over this at all.
Answers
Answer: Choice A)
Set A is an exponential function and the values increase at a faster rate than Set B.
======================================================
Explanation:
Focus on Set A. Each time x goes up by 1, y goes up by a factor of 10. In other words, the y value is being multiplied by 10.
10*10 = 100100*10 = 1,0001,000*10 = 10,00010,000*10 = 100,000etc
This strongly implies that we're dealing with an exponential function. The equation for this function is y = 10^x.
Plug in x = 1 and you should get y = 10. Repeat for x = 2 and it should lead to y = 100. This helps confirm we have the correct function.
On the other hand, Set B deals with a linear equation which is y = 50x+950. The slope 50 is the amount we're increasing y each time x goes up by 1. If you plug x = 1 into this, you should get y = 1000. Plug in x = 2 and it leads to y = 1050, and so on.
When comparing exponential growth rates versus linear growth rates, the exponential will be faster. This is true even if you have a very small exponential growth rate. At some point, the exponential will overtake the linear. The linear growth rate is some constant value that never changes. The exponential growth rate increases over time. Think about simple interest versus compound interest and that may be a good example to go over.
A meteorologist finds that the temperature at the 6000-foot level of a mountain is 76°F and the temperature at the 12,000-foot level of
the mountain is 49°F. Write a linear equation to represent the temperature T at an elevation of x, where x is in thousands of feet.
Answers
Answer:
T=x/78
height/78=76
Step-by-step explanation:
Maya bought a new iphone case for $40. Now, it is on sale for $25. Find the percent of change in the
price. Since the new price is less than the original price, this is a percent of decrease.
Step 1: Find the amount of decrease.
Your answer
Step 2: Find the percent of decrease.
PLEASE HELP, I WILL MARK THE FIRST PERSON AS BRAINLIEST!
Answers
Answer:
Step 1: $15
Step 2: 38%
Step-by-step explanation:
Step 1:
40 - 25 =15.
Therefore, the price would decrease by $15.
Step 2:
40 multiplied by .38 equals 24.80. You would round that up to 25. If you plugged in 37%, it would equal 25.20, which is over the price. Therefore the price decreased by 38%.
7y+65.7=2 true or false(don't answer that I just don't want this taken down(unless you do actually have the answer) is anyone in the middle of school coming up with random math problems that you know are incorrect but still ask your teacher if they are right anyway? cause same (20 POINTS IF YOU ANSWER AND BRAINLIEST IF YOU ANSWER MY "QUESTION")
Answers
It's false and same lol
Use a graphing calculator to graph the function below. What is the
minimum value of the function?
y= 22 + 8x + 7
-13
-9
-6
-3
Answers
Answer:
-3
Step-by-step explanation:
please help me out! find f(-9)
Answers
Answer:
f(-9) = -64
Step-by-step explanation:
Substitute -9 for x:
f(-9) = - (-9)^2 - 4(-9) - 19
= -81 + 36 - 19
= -64
help me with my math for brainiest:)
Answers
1. P=3
Step by step:
P-5=-2 -move the constant to the right hand side and change its sign
P=-2+5 - calculate the sum
P=3
2. W=-2.8
Step by step:
W+13.2=10.4 - move the constant tot he right hand side and change its sign
W=10.4-13.3 - calculate the difference
W=-2.8
3. X=2/3
Step by step:
X-5/6=-1/6 - move the constant to the rig hand side and change its sign
X=-1/6+5/6 - calculate the sum
X=2/3
The ratio of band students to choir students is 4:6. There are a total of 60 students in the band and choir. How many students are in the band?
Answers
Answer:
24
Step-by-step explanation:
Given that:
The ratio of band students to choir students is 4 : 6.
Total number of students in the band and choir combined = 60
To find:
The number of students in the band = ?
Solution:
First of all, let us understand the meaning of the ratio given.
Ratio of 4 : 6 means there are 4 number of band students for every 6 number of choir students.
Also, number of band students will be in the multiples of 4 only and
number of choir students will be in the multiples of 6 only
Let the total number of band students = 4[tex]x[/tex]
Let the total number of choir students = 6[tex]x[/tex]
Total number of students = 60
As per question statement, we can write the following equation:
[tex]\Rightarrow 4x+6x=60\\\Rightarrow 10x = 60\\\Rightarrow x =6[/tex]
Total number of band students = 4 [tex]\times[/tex] 6 = 24
Which point is not on the graph of the function y=×+5
Answers
Answer:
your gonna need to start from the point 5 and move up
Step-by-step explanation:
Help me please
Tyler filled a small jar with quarters and dimes and
donated it to his school's charity club. The club member
receiving the jar asked, "Do you happen to know how
much is in the jar?" Tyler said, "I know it's at
least $8.50, but I don't know the exact amount."
Write an inequality to represent the relationship
between the number of dimes, x, and the number of
quarters, y, and the dollar amount of the money in the
jar.
(It will say "CORRECT" when you type in the correct
inequality.)
Answers
Answer:
Step-by-step explanation:
X=8.50
y=9.50
The inequality that represents the relationship will be 0.10x + 0.25y ≤ 8.50.
What is inequality?Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.
Tyler filled a little container with quarters and dimes and gave it to his school's foundation club. The club party getting the container inquired, "Do you end up realizing how much is in the container?" Tyler said, "I know it's something like $8.50, yet I don't have a clue about the specific sum."
Let x be the number of dimes and y be the number of quarters. Then the inequality is given as,
0.10x + 0.25y ≤ 8.50
The inequality that represents the relationship will be 0.10x + 0.25y ≤ 8.50.
More about the inequality link is given below.
https://brainly.com/question/19491153
#SPJ2
Sean mixes coconut oil with several other ingredients to make homemade toothpaste for his dog Rocky. He uses 1/2 cup of coconut oil to make 2/3 cup of toothpaste. How much coconut oil does Sean use per cup of toothpaste?
Answers
Answer:
3/4 cup of coconut
Step-by-step explanation:
Given:
[tex]\frac{1}{2}[/tex] cup of coconut for [tex]\frac{2}{3}[/tex] cup of toothpaste
Required
Determine how much oil for a cup of toothpaste
Represent Coconut with C and Toothpaste with T;
So,
When
[tex]C = \frac{1}{2}\ \ T = \frac{2}{3}[/tex]
We're to solve for
C when T = 1
This can be represented as:
[tex]\frac{1}{2} = \frac{2}{3}[/tex] --- 1/2 to 2/3
[tex]C = 1[/tex]
Cross Multiply:
[tex]C * \frac{2}{3} = \frac{1}{2} * 1[/tex]
[tex]\frac{2}{3}C = \frac{1}{2}[/tex]
Solve for C
[tex]C = \frac{1}{2}/\frac{2}{3}[/tex]
[tex]C = \frac{1}{2}*\frac{3}{2}[/tex]
[tex]C = \frac{3}{4}[/tex]
This means Sean needs 3/4 cup of coconut oil
Answer:
[Picture contains answer]
PICTURE EVIDENCE:
what is the median for 9, 37, 39, 13
Answers
Answer:
i'm not sure
Step-by-step explanation:
Answer:
(13+37)/2 = 25
Step-by-step explanation:
the prices of magazines and books at the school book fair are shown in the table. determine if each statement is true or false
Answers
Answer:
true, false, true
Step-by-step explanation:
A- The expression 7.95b + 4.95m represents the cost of buying b books and magazines (true)
B- The expression 12.90(b+m) represents the cost of buying b books m magazines (false)
C- The total cost of buying 3 books and 4 magazines is $43.65 (true)
23.85b + 19.8m = $43.65
i hope this answers your question :) have a great day
Maria is m inches tall. Blaire is 2 inches taller than Maria. If Blaire is 52 inches tall, which equation could be used to find how tall Maria is?
A. 2m = 52
B. 52 = 1/2 m
C .m + 2 = 52
D. 52 = m - 2
Answers
Explanation: adding 2 inches to m would equal Blaire’s height
Andrews sandwich consists of a 20 g piece of cheese is 60 g piece of turkey into 30 g slices of bread what is the total weight of Andrews sandwich in kilograms
Answers
Answer:
0.11 kilos
Step-by-step explanation:
Line R T is a perpendicular bisector of Line segment U V. Line R T is a perpendicular bisector of line segment U V. The lines intersect at point S. Line segment U S and S V are congruent. What is true of any triangle created by points U, V, and any point on Line R T other than S? It will be a right triangle. It will be an acute triangle. It will be an equilateral triangle. It will be an isosceles triangle.
Answers
Answer:
D
Step-by-step explanation:
Answer:
D. It will be an isosceles triangle.
Explanation: This is the correct answer on Edge 2021, just took the quiz. Hope this helps ^-^.
What place value docs the 6 have in 764,328
Answers
Answer:
It's in the ten thousands place
Step-by-step explanation:
700,000
60,000
4,000
300
20
8
764,328
Hope this helps. Have a nice day
Answer:
6 is in the ten thousandth place
Choose the number sentence whose product is 5.85. A. 1.7 x 3.5 B. 26 x 2.25 C. 4.5 x 2.3 D. 1.3 x 4.5
Answers
Answer:
b
Step-by-step explanation:
Answer:
The actual right answer is D
Step-by-step explanation:
1.3 x 4.5 = 5.85
answer = D
A farmer wants to fence off part of a rectangular field to create an area that is 22,500 square feet. He then wants to divide that area in half by creating a fence parallel to one side of the rectangle. Find the dimensions of the area that will minimize the amount of fencing he needs.
Answers
Answer:
90 x 125
Step-by-step explanation:
22500÷2 = 11250
factors of 11250 = {1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 125, 150, 225, 250, 375, 450, 625, 750, 1125, 1250, 1875, 2250, 3750, 5625, 11250} (this took me long to type and calculate lol)
well we want the factors as close as possible to minimize the perimeter. In this case, it is 90 and 125. therefore the dimenstions are 90 x 125
What is the equation of the graph below?
*A graph shows a parabola that opens down with a vertex at three commas two*
A) y = − (x + 2)² + 2
B) y = − (x − 3)² + 2
C) y = (x − 2)² + 2
D) y = (x + 3)² + 2
Pretty sure it's B, but I'm not sure.
Answers
Answer:
B: y = − (x − 3)² + 2
Step-by-step explanation:
You can check this using a graphing calculator, but it has a vertex of (3,2)
Answer:
B
Step-by-step explanation:
Which of these statements correctly compares the graphed function f(x) to the function
g(x)= x/2 +5
Answers
Answer: g= x+10/2x
Step-by-step explanation: Here a picture if you see it, hope this help
Please help with geometry question!!!! will give brainliest
Answers
Answer:
so pretty much what your doing is 4x3
Step-by-step explanation:
Answer:
x = 32
Angle B = 120°
Step-by-step explanation:
3 (4x - 8) = 360°
4x - 8 = 120
4x = 128
x = 32
There are 25 town homes in the Alief Community subdivision.
•Company A provides water to 1/5 of the town homes.
•Company B provides water to 9/15 of the town homes.
•Company C provides water to the remaining town homes.
In this subdivision, company C provides water to how many houses?
Answers
Answer:
5
Step-by-step explanation:
Fist, you would see that company a Provides water to 5 people, since 1/5 of 25 is 5. 25/15X9=15. 15+5=20. So, 25-20=5.
Find the measure of the indicated side. Round to the nearest tenth.
Answers
Answer:
x=23.5
Step-by-step explanation:
[tex]cos59.3=\frac{12}{x}\\x(cos59.3)=12\\x=\frac{12}{cos59.3}\\x=23.5[/tex]
The sum of x and 6.5 is 11.9. Find
he value of x.
Answers
Answer:
5.4
Step-by-step explanation:
Sum = 11.9
One decimal = 6/5
x = 11.9 - 6.5
= 5.4
Therefore x is 5.4 :)
Which ordered pair is a solution to the system of inequalities?
y>−2 and x+y≤4
Answers
Answer:-2,-3
Step-by-step explanation:
Name the corresponding angle with angle 2
Answers
Answer
3 it cant be 6 because lines L and M are not parallel
Step-by-step explanation:
plss plss help asap!!!
Answers
Answer:
[tex]f(x) = - 2x + 7 \\ f( - 5) = - 2( - 5) + 7 \\ f( - 5) = + 17[/tex]
What is the slope of the line perpendicular to the line with equation 4x-5y+13=0
Answers
Answer:
m = - 5/4
Step-by-step explanation:
If two lines are perpendicular, their slopes are negative reciprocals, which means that their product is -1
We can write the equation
4*x - 5*y + 13 = 0
as: 5*y = 4*x + 13 or
y = (4/5)*x + 13 (1)
Equation (1) is the equation of a straight line in its slope point form, 4/5 is the slope, according to this the slope of a perpendicular line is
-5/4