Answer:
r = - 2
Step-by-step explanation:
Calculate the slope m using the slope formula and equate to [tex]\frac{1}{7}[/tex]
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 9, - 3) and (x₂, y₂ ) = (- 2, r)
m = [tex]\frac{r+3}{-2+9}[/tex] , that is
[tex]\frac{r+3}{7}[/tex] = [tex]\frac{1}{7}[/tex] ( cross- multiply )
7(r + 3) = 7 ( divide both sides by 7 )
r + 3 = 1 ( subtract 3 from both sides )
r = - 2
1. The figure shows a graph of the function of f(x) in the xy-coordinate plane, with the vertex at (1,9) and the zeros
at -2 and 4.
x
5 6 7 8 9
The function g is defined by g(x) = -3x + 2. Which statements are true? Select ALL that apply.
f{-2) is greater than g(-2).
f{-1) is less than g(-1).
f{0) is greater than g(0)
f(1) is less than g(1).
f(2) is greater than g(2).
Answer:
f{0) is greater than g(0) and f(2) is greater than g(2).
Step-by-step explanation:
f{0) is greater than g(0) = f(0)=8 and g(0)=2
f(2) is greater than g(2) = f(2)=8 and g(2)= -4
The two statements that are correct are f(0) is greater than g(0), and f(2) is greater than g(2).
What is the general equation of parabola?The general equation of a parabola is given as,
[tex]y=a(x-h)^2+k[/tex]
where (h,k) is the coordinate of the vertex of the parabola.
The equation of the parabola with vertex (1,9) can be written as,
[tex]y=a(x-h)^2+k\\\\y=a(x-1)^2+9[/tex]
Now, the value of a can be found by putting one zero of the parabola,
[tex]y=a(4-1)^2+9\\\\0=a(3)^2+9\\\\-9=a(3)^2\\\\-9=a9\\\\a=-1[/tex]
Thus, the equation of the parabola can be written as y=-(x-1)²+9.
A.) The value of the two functions when the value of x is -2 can be written as,
[tex]f(x)=-(x-1)^2+9\\\\f(-2)=-(-2-1)^2+9\\\\f(-2)=0[/tex]
[tex]g(x) = -3x + 2\\\\g(-2) = -3(-2) + 2\\\\g(-2)=8[/tex]
Therefore, f(-2) is less than g(-2).
B.) The value of the two functions when the value of x is -1 can be written as,
[tex]f(x)=-(x-1)^2+9\\\\f(-1)=-(-1-1)^2+9\\\\f(-2)=5[/tex]
[tex]g(x) = -3x + 2\\\\g(-1) = -3(-1) + 2\\\\g(-1)=5[/tex]
Therefore, f(-1) is equal to g(-1).
C.) The value of the two functions when the value of x is 0 can be written as,
[tex]f(x)=-(x-1)^2+9\\\\f(0)=-(0-1)^2+9\\\\f(0)=8[/tex]
[tex]g(x) = -3x + 2\\\\g(0) = -3(0) + 2\\\\g(0)=2[/tex]
Therefore, f(0) is greater than g(0).
D.) The value of the two functions when the value of x is 1 can be written as,
[tex]f(x)=-(x-1)^2+9\\\\f(1)=-(1-1)^2+9\\\\f(1)=9[/tex]
[tex]g(x) = -3x + 2\\\\g(1) = -3(1) + 2\\\\g(1)=1[/tex]
Therefore, f(1) is greater than g(1).
E.) The value of the two functions when the value of x is 2 can be written as,
[tex]f(x)=-(x-1)^2+9\\\\f(2)=-(2-1)^2+9\\\\f(2)=8[/tex]
[tex]g(x) = -3x + 2\\\\g(2) = -3(2) + 2\\\\g(2)=-4[/tex]
Therefore, f(2) is greater than g(2).
Thus, the two statements that are correct are f(0) is greater than g(0), and f(2) is greater than g(2).
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John is testing his friend. He wrote the following on an index card:
My grandfather is 68, adopted my mother on Sunday, March 18, 2001. My mother was not even a year old. My mother had me at 18. How old am I?
Answer:
2 exactly
Step-by-step explanation:
I need some help with my math pls
Answer:
all you need to do break them step by step.
really good mothed understood?
Answer:
y=-4x+5
Step-by-step explanation:
you start at 5 and go down 4 and right 1 and there is your answer.
this is so hard i need some help ill give brainliest too
Answer: They are incorrect
Step-by-step explanation: They are incorrect because 12+15=27 and 20+9=29 so it won't work out because the numbers need to be equal. I hope this helps!
will give brainlesit to the best giving answer
Answer:
D! See explanation below!
Step-by-step explanation:
D is absolutely correct!
And I'll explain why:
The area of the trapezoid is (lower base + upper base) times (height) divide 2
So:[tex](4+7)(8)/2\\=11(4)\\=44 (cm)^{2}[/tex]
The area of the Triangle is (Base)(Height)/2
So:[tex](6)(10)/2\\=30(cm)^{2}[/tex]
Well, 44 is larger than 30, so the answer's D!!!
Hoped I helped. (P.S. I love math!!!)
A corporation had $125,000 in a bank account on March 1. On April 1, theamount of money in the account had decreased by 8%. On May 1, the amountof money in the account was half of the amount that was in the account on April1. How much money was in the account on May 1?
Answer:
the answer is 57500
Step-by-step explanation:
Answer:
$5,000
Step-by-step explanation:
7 - 3x + 6x^2 - 10 + x - x^2=?
Answer:
5x^2-2x-3
Step-by-step explanation:
help plsss
Write an equation for the word problem and solve it (show work).
"ally became a waiter at a fancy restaurant. She makes $9 per hour. One night she made $150 in tips. How many hours did she work if he made a total of $226.50."
Variable: x = hours
Equation: __________________
Work:
Solution: x = ______ hours
Answer:
226.50 - 150 = 76.5 divided by 9 = 8.5 hours
Step-by-step explanation:
Answer:
8.5 hours
Step-by-step explanation:
First, you need to subtract 226.50 and 150 which gives you 7.65. After that, you need to divide 76.5 by 9 which will give you 8.5 hours. I hope this helps
HELP FAST
The temperature in the morning was -4 F. At night the temperature dropped to -12.8 F. How can the temperature drop from the morning to the night be represented? A. 16.8 LB. 8.4 F C. -8.8 F D. -16.8 F
Answer: d)
Step-by-step explanation: hope this works I been thinking
Which equation has a solution of x=8.5?
A −5x=42.5negative 5 x is equal to 42 point 5
B −3x=−25.5negative 3 x is equal to negative 25 point 5
C x−3.5=12x minus 3 point 5 is equal to 12
D x+2.5=−11
Pls Help!!
Answer: B
-25.5/-3=8.5
x=8.5
At a pizza shop, you can choose thick or thin crust, red or white sauce, and toppings of pepperoni, cheese, or vegetarian. Create a tree diagram to display the sample space.
Answer: thick,white,pepperoni thick,white,cheese thick,white,vegetarian<>thick,red,pepperoni thick,red,cheese thick,red,vegetarian><thin,red,pepperoni thin,red,cheese, thin,red,vegetarian>> thin,white,pepperoni thin,white,cheese thin,white vegetarian :) have a nice day
The tree diagram will have factors Pizza , thick and thin , red or white and toppings .
What is a tree diagram?
A tree diagram is a new management planning tool that depicts the hierarchy of tasks and subtasks needed to complete and objective. The tree diagram starts with one item that branches into two or more, each of which branch into two or more, and so on.
According to the question
At a pizza shop, you can choose thick or thin crust, red or white sauce, and toppings of pepperoni, cheese, or vegetarian.
In a tree diagram shown as following
1. Pizza
2. thick and thin
3. red or white
4. toppings
The tree diagram to display the sample space is attached below .
Hence, the tree diagram will have factors Pizza , thick and thin , red or white and toppings .
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Please help how do you solve this?
Answer:
A, 120 degrees
Step-by-step explanation:
=============================================================
Explanation:
Triangle ABC is equilateral, so all three sides are the same length. This means the three angles are also the same measure. Call each interior angle x.
The three angles add to 180, so x+x+x = 180 solves to x = 60. Each interior angle is 60 degrees.
Angle DAC is an exterior angle of measure 180-x = 180-60 = 120 degrees
------------
Or another method you could use is the fact that all exterior angles of any polygon add to 360.
Since we have n = 3 sides, this means each exterior angle of an equilateral triangle is 360/n = 360/3 = 120 degrees
We consider this a regular polygon because all sides are the same length and all angles are the same measure. So the formula for the exterior angle measure 360/n would apply to any regular polygon and not just triangles.
Solve the inequality.
−78≤m−138
The solution is
Answer:
M = 60
Step-by-step explanation:
You are doing the opposite to each side to simplify the inequality so on one side it is the variable in your case, it is m and the other side is your number. You are going to add 138 to both sides and then you get your answer.
-78 ≤ M - 138
-78 + 138 ≤ M - 138 +138
60 ≤ M
=
M ≥ 60
HURRY! The length of the base of a triangle is 7 unit and the height is 4 unit . What is the area
Answer:
The answer is 14 units
Step-by-step explanation:
7*4=28
28/2=14
Answer:
The answer is 14 square unit
Step-by-step explanation:
A= b times h divided by 2
7 x 4 = 28 divided by 2 = 14
solve this please
3(2y+3)-4y=-3
Answer:
=−6
Step-by-step explanation:
Answer:
y= -6
Step-by-step explanation:
First step: Distribute the 3 (times everything in the parintheses by 3)
6y+9-4y=-3
Then, Combine like terms
2y+9=-3
Subtract 9 from both sides
2y=-12
Divide by 2
y=-6
plz help me have a nice day
Answer:
a
Step-by-step explanation:
Help me answer image sent. (I zoomed the graph so you can see it better.)
Answer:
1. K
2. F
3. B
4. E
5. H
6. J
Answer:
1=E
2=F
3=B
4=G
5=H
6=J
Step-by-step explanation:
JUST TRYING TO HELP HAV A GUD DAY
**URGENT(***
Select from the drop-down menus to correctly complete the statements about the given figures.
Quadrilateral ABCD is the result of a
Choose...
translation and then a dilation
reflection and then a rotation
rotation and then a translation
of quadrilateral IJKL.
Therefore, the quadrilaterals are
Choose...
congruent
similar
neither congruent nor similar
.
Answer:i would say translation then dilation and they are similar.
Step-by-step explanation:
Have a nice day:)
HELP!!!!!!!!!!!!!!!!
Amil is given the equation shown.
x2 + 14x + 37 = 0
He completes the square and rewrites the given equation. Which equation is
equivalent to the given equation?
A.
(x + 7)2 – 12 = 0
B.
(x – 7)2 – 12 = 0
C.
(x + 7)2 + 12 = 0
D.
(x – 7)2 + 12 = 0
please help thank you soooo much
Answer:
Question 5 - 30 seconds
Question 6 - 7.5
Step-by-step explanation:
For question 5, just check and think, if it was 1 min per block, it would take 10 mins not 5. Which leads to 30 seconds.
For question 6, All I did was multiply all the answers by 40 and then check which equals 300.
What evidence from the end of the drama and the folktale best supports the answer to Part A? Write the similar details in the boxes.
Answer:
Step-by-step explanation: its blurry sorry
Answer:
the similar details in the boxes.
Step-by-step explanation:
Which of the following represents the area of the shaded region created by the rectangle and four congruent circles?
A.1O8 Square inches
B.492 square inches
C.420 square inches
D.528 square inches
Answer:
D. 528
Step-by-step explanation:
It would be D because 24x22= 505+(6x4)=528
The table below shows field goal statistics for three different kickers.
Kicker Field goals attempted Field goals made
A 14 12
B 18 15
C 24 19
Order the kickers by their field goal success rate from least to greatest.
Answer: Kicker C, kicker B, and then kicker A
Step-by-step explanation:
divide the field goals made by field goals attempted to get the success rate. A = 12 / 14 = 0.857 B = 15 / 18 = 0.83 C = 19 / 24 = 0.79
0.79 < 0.83 < 0.857
Answer:
cba
Step-by-step explanation:
An object’s height is measured in centimeters and in inches. Two rulers, one showing inches, the other showing centimeters. The rulers are aligned at zero. An arrow extends from the one inch mark on the first ruler toward the equivalent length on the other ruler, with the caption, one inch equals two and fifty-four hundredths centimeters. Write an equation that relates the number of centimeters c to the number of inches i. Determine the height in centimeters of a chair that is 32 inches tall. Enter the correct answers in the boxes.
If an object’s height is measured in centimeters and in inches. the height of the chair in centimeters is 81.28 cm.
How to find the height?We know that one inch is equivalent to two and fifty-four hundredths centimeters. We can write this as:
1 inch = 2.54 centimeters
To find the equation that relates the number of centimeters c to the number of inches i, we can use this conversion factor:
c = 2.54i
This equation tells us that the number of centimeters is equal to 2.54 times the number of inches.
To find the height in centimeters of a chair that is 32 inches tall, we can plug in i = 32 into the equation above:
c = 2.54i
c = 2.54(32)
c = 81.28
Therefore, the height of the chair in centimeters is 81.28 cm.
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An engineer filled a tank with water and made a graph of the number of gallons of water in the tank after a given period of time
Which rate is equal to the equivalent ratios of points on this graph? SELECT ALL THAT APPLY.
A. 3 gallons/ 4 minutes
B. 1 gallon/ 1 1/3 minutes
C. 1 gallon/ 4 minutes
D. 4 gallons/ 3 minutes
E. 12 gallons/ 16 minutes
F. 60 gallons/ 44 minutes
hELPPpepeppeeppepepepepe
Answer:
( -1, -1 )
Step-by-step explanation:
Just multiply the scale factor with the coordinates
-3 × [tex]\frac{1}{3}[/tex]
= [tex]\frac{-3}{3}[/tex]
= -1
So the coordinates are :
( -1, -1 )
helpppppppppppppp pleaseeeeeeeeeeee
Answer:
WHAT IS THE QUESTION?
Step-by-step explanation:
COLTONMCGHEE27!!!!!!!!!!!!!!!!!!!!!!! HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! PLZZZZZZZZZZ!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! Will mark brainly
3/5(20-15x)+8x=13
What is the value of 'x'?
he average cost of gas per gallon last year was $2.649. This year, the average cost of gas per gallon is $2.999. Find the percent of change. State whether the change is an increase or decrease.
Answer:
The average price of diesel is $2.55.
Step-by-step explanation:
The average price of diesel is $2.55, the same as two weeks ago. Gas prices vary based on a number of factors, including local competition, fuel demand, refineries, oil and gasoline inventories and transportation costs.
Answer:
Its a 13.2125% Increase.
Step-by-step explanation: