Answer:
x = -6
Step-by-step explanation:
0 = In(x + 7)
x + 7 = e⁰
x + 7 = 1
x = 1 - 7
x = -6
Steps to solve:
0 = In(x + 7)
~Log definition
e^0 = x + 7
~Simplify
1 = x + 7
~Solve for x
1 - 7 = x + 7 - 7
-6 = x
Therefore, the answer is x = -6
Best of Luck!
(09.01 LC))
For f(x) = x2 and g(x)=(x-3)2, in which direction and by how many units should f(x) be
shifted to obtain g(x)? (5 points)
Answer:
3 units to the right
Step-by-step explanation:
Given f(x) then f(x + a) represents a horizontal translation of f(x)
• If a > 0 then a shift of a units to the left
• If a < 0 then a shift of a units to the right
Thus
g(x) = (x - 3)² is f(x) shifted to the right by 3 units
If you have a cubic polynomial of the form y = ax^3 + bx^2 + cx + d and lets say it passes through the points (2,28), (-1, -5), (4, 220), and (-2, -20) what would the coefficients a, b, c, and d equal? So confused, I'd greatly appreciate help! Thank you!
Step-by-step explanation:
Step 1: Solve using the first point
(2, 28)
[tex]28 = a(2)^3 + b(2)^2 + c(2) + d[/tex]
[tex]28 = 8a + 4b + 2c + d[/tex]
Step 2: Solve using the second point
(-1, -5)
[tex]-5 = a(-1)^3 + b(-1)^2 + c(-1) + d[/tex]
[tex]-5 = -a + b - c + d[/tex]
Step 3: Solve using the third point
(4, 220)
[tex]220 = a(4)^3 + b(4)^2 + c(4) + d[/tex]
[tex]220 = 64a + 16b + 4c + d[/tex]
Step 4: Solve using the fourth point
(-2, -20)
[tex]-20 = a(-2)^3 + b(-2)^2 + c(-2) + d[/tex]
[tex]-20 = -8a + 4b - 2c + d[/tex]
Step 5: Combine the first and fourth equations
[tex]28 - 20 = 8a - 8a + 4b + 4b + 2c - 2c + d + d[/tex]
[tex]8 = 8b + 2d[/tex]
[tex]8 - 8b = 8b - 8b + 2d[/tex]
[tex](8 -8b)/2 = 2d/2[/tex]
[tex]4 - 4b = d[/tex]
Step 6: Solve for c in the second equation
[tex]-5 + 5 = -a + b - c + d + 5[/tex]
[tex]0 + c = -a + b - c + c + d + 5[/tex]
[tex]c = -a + b + d + 5[/tex]
Step 7: Substitute d with the stuff we got in step 5
[tex]c = -a + b + (4 - 4b) + 5[/tex]
[tex]c = -a + b + 4 - 4b + 5[/tex]
[tex]c = -a - 3b + 9[/tex]
Step 8: Substitute d and c into the first equation
[tex]28 = 8a + 4b + 2(-a - 3b + 9) + (4 - 4b)[/tex]
[tex]28 = 8a + 4b - 2a - 6b + 18 + 4 - 4b[/tex]
[tex]28 - 22 = 6a - 6b + 22 - 22[/tex]
[tex]6 / 6 = (6a - 6b) / 6[/tex]
[tex]1 + b = a - b + b[/tex]
[tex]1 + b = a[/tex]
Step 9: Substitute a, b, and c into the third equation
[tex]220 = 64(1 + b) + 16b + 4(-(1 + b) - 3b + 9) + (4 - 4b)[/tex]
[tex]220 = 64 + 64b + 16b + 4(-1 - b - 3b + 9) + 4 - 4b[/tex]
[tex]220 - 100 = 60b + 100 - 100[/tex]
[tex]120 / 60 = 60b / 60[/tex]
[tex]2 = b[/tex]
Step 10: Find a using b = 2
[tex]a = b + 1[/tex]
[tex]a = (2) + 1[/tex]
[tex]a = 3[/tex]
Step 11: Find c using a = 3 and b = 2
[tex]c = -a - 3b + 9[/tex]
[tex]c = -(3) - 3(2) + 9[/tex]
[tex]c = -3 - 6 + 9[/tex]
[tex]c = 0[/tex]
Step 12: Find d using b = 2
[tex]d = 4 - 4b[/tex]
[tex]d = 4 - 4(2)[/tex]
[tex]d = 4 - 8[/tex]
[tex]d = -4[/tex]
Answer: [tex]a = 3, b = 2, c = 0,d = -4[/tex]
Answer:
a = 3
b = 2
c = 0
d = -4
Step-by-step explanation:
Form 4 equations and solve simultaneously
28 = a(2)³ + b(2)² + c(2) + d
28 = 8a + 4b + 2c + d (1)
-5 = -a + b - c + d (2)
220 = 64a + 16b + 4c + d (3)
-20 = -8a + 4b - 2c + d (4)
(1) + (4)
28 = 8a + 4b + 2c + d
-20 = -8a + 4b - 2c + d
8 = 8b + 2d
d = 4 - 4b
Equation (2)
c = -a + b + d + 5
c = -a + b + 4 - 4b+ 5
c = -a - 3b + 9
28 = 8a + 4b + 2c + d (1)
28 = 8a + 4b + 2(-a - 3b + 9) + 4 - 4b
28 = 6a - 6b + 22
6a - 6b = 6
a - b = 1
a = b + 1
220 = 64a + 16b + 4c + d (3)
220 = 64(b + 1) + 16b + 4(-b - 1 - 3b + 9) + 4 - 4b
220 = 60b + 100
60b = 120
b = 2
a = 2 + 1
a = 3
c = -3 - 3(2) + 9
c = 0
d = 4 - 4(2)
d = -4
two consecutive integers whose product is 17
Answer:
8 and 9
Step-by-step explanation:
8 comes after 9 and 8 + 9 = 17
Ying Zyiyu covered the first 300 miles of a trip going at 60 mph and the last hundred going at 40 mph. What was his average speed for the entire trip?
NEED IN 5 MINUTES
Answer:
Average speed is (total distance)/(total time).
To find the total time we need to do some division.
Time for 200 miles=200/50=4 hours.
Time for 100=100/40=5/2 hours.
Total time=13/2 hours. Total distance=200+100=300 miles.
Av speed=300/(13/2)=300×2/13=600/13=46.15 mph approx.
WILL MARK BRAINLIEST!!! OWO
Answer:
G equilateral
Step-by-step explanation:
scalene = all the sides of the triangle are not equal
isosceles = two sides of the triangle is equal
Answer should be equilateral = All the sides of the triangle is equal.
F H J are not describing any triangle.
Answer:G equilateral
Step-by-step explanation:
^///^
11. Your company earns extra money by advertising other local businesses in their monthly newsletter . You charge $145 for a half -page ad , and $ 260 for a full - page ad in the newsletter . the company earned a total of 1650 from ad sales last month , how many full page , and how many half page ads did you sell ?
Answer:
six half page ads and three full page ads
Step-by-step explanation:
6*145= 870
3*260= 780
870+780= 1650
Which expression can be used to find the surface area of the following rectangular prism?
Answer:
d
Step-by-step explanation:
to find the surface area you have to add all the following numbers and double them
hope this helps
Answer:
D, if it is correct plz say thanks to let me know it is correct
Step-by-step explanation:
Writing What is the diameter of a circle with a circumference of 11.277 ft? Use pencil and paper.
The diameter is
ft.
I hope this helps you
Find the missing angle.
Answer:
127
Step-by-step explanation:
Answer:
x= 127 degrees
Step-by-step explanation:
use the vertical angles theorem to say that x=90*+37*. So, x=127 degrees.
Please Answer ASAP!
Subtracting a number is the same as adding its opposite. Use this understanding to complete each of the equations below.
Enter numbers to evaluate ‐13−23.
‐13−23= ‐13 + ___
= ___
Enter numbers to evaluate ‐13−(‐23).
‐13−(‐23)= ‐13 + ____
= _____
Step-by-step explanation:
-13 - 23 = -13 + (-23)
= -36
-13 - (-23) = -13 + 23
= 10
Answer:
Step-by-step explanation:
-13 - 23 = -13 + (-23)
= -36
-13 - (-23) = -13 + 23
=10
Which statement best describes the function represented by the graph?
Answer:
Step-by-step explanation:
You read a graph from left to right, just like you would read words on a page in a book. At the left-most "side" of this graph, we are way up at positive infinity. As we move from left to right, the graph begins to drop in y values. A drop in y values indicates a decreasing graph. So it's decreasing, we have that part. As the graph grows up into y values that increase forever, it will also grow in the x direction to negative infinity. As the graph decreases in y values from left to right, the x values increase into positive infinity. So your choice is the second one: The function is decreasing on the interval (-∞, ∞).
Answer:
It's B
Step-by-step explanation:
Which graph represents the function f(x) =1/3 |x|?
Step-by-step explanation:
f(x) = 1/3|x|
then
f(x) = 1/3x , if x ≥ 0
and
f(x) = -1/3x , if x ≤ 0
the slope of f(x) = 1/3x is 1/3
the slope of f(x) = -1/3x is -1/3
this two above conditions apply on to the fourth graph to the right.
Math question down below
Answer:
24
Step-by-step explanation:
1 US Gallon = 8 US Pints
3 US Gallons = 24 US Pints
A functiom is graphed on the coordinate plane.
What is the value of the function when x=4?
Answer: The answer is 2. Go open of the x line 2 then it lines up with the y.
Answer:
I thought it was 1
Step-by-step explanation:
|5−4r|=17
Can someone answer this question for me?? I will mark you brainliest if you get the correct answer!!
Answer:
R=-3 which is the same thing as 11/2
Step-by-step explanation:
Answer:
r=−3,11/2
Step-by-step explanation:
thats what I got
2/3 divided by 1 1/2
Answer: 0.4
Step-by-step explanation:
Help me asap I’m turning this in late please hep
Answer:
The answer is 27 If not please correct me!
Answer:
27
Step-by-step explanation:
You need to plug 100 in for m and multiply that. Then you need to add 7 to 20 to get your answer.
Hope this help.
Which statement is true?
Answer:
all parallelograms are rectangles
Step-by-step explanation:
the have 2 sets of parallel lines that are equal in length
A man has 1/4 of a kilogram of couscous. He shared them equally among 2 people. How many kilograms does each person get? Input your answer as a fraction of a kilogram.
I got an answer that felt way off... I just need to make sure I'm right!
Answer:
1/8 maybe
Step-by-step explanation:
Answer:
1/8
Step-by-step explanation:
The heights of 200 adults were recorded and divided into two categories.
6' or over
Under 6
Male
14
88
Female
2
Which two-way frequency table correctly shows the marginal frequencies?
Answer: the answer is B
Step-by-step explanation:
14+6 is 16. Add 88 to 16 and you get 104. 200-104=96.
The two-frequency table that correctly shows the marginal frequencies of the given data is: B.
What is a Marginal Frequency in a Two-way Frequency Table?In a two-way frequency table, the marginal frequency is simply the the sum of any one of the columns or rows in a data.
In table B, 14 + 6 equals 16, so also does 88 + 16 = 104. Subtract 104 from 200, and you have 96.
Therefore, table B correctly shows the marginal frequencies.
Learn more about marginal frequencies on:
https://brainly.com/question/16377212
#SPJ2
If AQSR - AYXZ describes two triangles, which other statement is also true?
Answer:
RSQA ~ ZXYA
Step-by-step explanation:
PLEASE HELP AGAIN, SORRY I SUCK AT MATH.
Answer:
C. 24 degrees
Step-by-step explanation:
All triangle must be 180 degrees in total. So you have to add all the known degrees together to find the missing degree.
120+36=156
Then subtract the sum of the known angles from 180 to find the degree of the unknown angle
180-156=24
Answer: C
Step-by-step explanation:
I'll explain why.
The sum of the angles in a triangle must be equal to 180º. We already know 2 of the 3 angles, therefore, we can make an equation to find x.
The sum of the angles (x+36+120) must be equal to 180 (=180)
x+36+120=180
Combine like terms
x+156=180
Subtract 156 to isolate x
x=180-156
x=24
math question down below screen shot
Answer:
the screen shoy isnt showing up
Step-by-step explanation:
Evaluate (if possible) the six trigonometri
trigonometric functions of the real number t. (If an answer is undefined, enter UNDEFINED.)
t= 4π/3
Answer:
undefined
Step-by-step explanation:
Frank will paint a wall that measures 10 feet by 14 feet what is the area of the wall that frank will paint
Answer:
140 ft squared
Step-by-step explanation:
Answer:
140 ft
Step-by-step explanation:
10 × 14 = 140 so the answer is 140 ft
Which description best compared the graph of the two functions below?
Answer:
The description that best compares the graph of the two function is:
The line for function A is steeper.
Step-by-step explanation:
Answer:
The line for function a is a steeper
Step-by-step explanation:
Does choosing a blue marble represent the complement event of choosing a red marble? Explain.
Answer:
No, the probability of choosing a red marble is not the complement of choosing a blue marble.
P(red) + P(blue) = 3/5, not 1.
The number of blue and red marbles does not add to the total number of outcomes.
There are other marbles besides red ones and blue ones.
Step-by-step explanation:
i got it right.
Answer:
The complementary event for choosing a red marble is choosing a blue or purple. The total number of marbles is 5. The probability of choosing a red marble is 1/5, and the complement would be 4/5. That is not the same as choosing a blue marble.
Help plz!!!!! I need help
Answer: J and K
Step-by-step explanation:
[tex]\sqrt{20}[/tex] is about [tex]4.472135[/tex]
Answer:
J and K
Step-by-step explanation:
√20=4.47
4.47 is almost in between J and K in the number line.
Hence, it's J and K.
The McPhearson family went fishing. They caught 7 fish. The weights of the fish were 15, 16, 15, 13, 19, 20, and 21 pounds. What is the mean weight of these fish? Answer options with 4 options A. 15 B. 16 C. 17 D. 18
Answer:
C. 17
Step-by-step explanation:
The mean weight can be calculated by adding the numbers 15 + 16 + 15 + 13 + 19 + 20 + 21 divided by the number 7, which is the amount of numbers you just added.
(15 + 16 + 15 + 13 + 19 + 20 + 21)/7
the outcome = 17 which corresponds to answer C.
Answer: The answer is C.17
Step-by-step explanation:
help please, what is the the perimeter of the figure to the nearest hundredth.
Answer:
100
Step-by-step explanation:
