Answer: It's 65.9
Step-by-step explanation:
decreased by 7.5%means 100% - 7.5% = 92.5%92.5% * x = 61x= 61 / 92.5%x = 65.9459to the nearest tenth :original number is 65.9Hope this helps have a awesome day/night❤️✨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).
Learn more about Equation of Parabola:
https://brainly.com/question/4074088
Help I have to the 7th grade even do I am in 6th
Answer:
6
Step-by-step explanation:
2+8-11+7=6
Write the equation of the line in slope-intercept form using y=mx+b
7 - 3x + 6x^2 - 10 + x - x^2=?
Answer:
5x^2-2x-3
Step-by-step explanation:
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
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
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
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.
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.
I JUST NEED TUESDAY!
On monday joe found a $1 bill, 4 quarters, and 3 dimes. On tuesday joe finds 3 time as much money. How much money did jow find on monday and tuesday in total?
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
A ladder 3m leans against a wall. The foot of the ladder is 80cm from the wall. The distance the ladder reaches up the wall is:
Answer:
d
Step-by-step explanation:
hope this helps :)
The distance the ladder reaches up the wall is 289 cm. The correct option is E 289 cm
Pythagoras' theoremThe Pythagoras' theorem states that, in a right triangle, the square of the hypotenuse equals the sum of the squares of the other two sides
Let the length of the ladder be l
The distance of the foot of the ladder from the wall be f
and the distance the ladder reaches up the wall be h
By applying Pythagoras' theorem, we can write that
l² = f² + h²
From the given information,
l = 3m = 300 cm
f = 80 cm
Putting the parameters into the equation, we get
300² = 80² + h²
90000 = 6400 + h²
Then,
h² = 90000 - 6400
h² = 83600
∴ h = √83600
h = 289.1366
h ≅ 289 cm
Hence, the distance the ladder reaches up the wall is 289 cm. The correct option is E 289 cm
Learn more on Pythagoras' theorem here: https://brainly.com/question/14355334
#SPJ2
PLS HELP ME
TROLL FOR POINTS= REPORT
CORRECT ANSWER= BRAINLIEST
Answer:
2 days
Step-by-step explanation:
We need to pay $63.68 per DAY and $0.10 per MILE, while staying BELOW the budget of $170... therefore,
$63.68d + $0.10m < $170We are also already given m, which is 250 miles (The amount she plans to travel.) Solve for d.
$63.68d + $0.10(250) < $170$63.68d + $25 < $170$63.68d < $145d < 2.777In other words, the theoretical maximum amount of time she can rent before exceeding her budget is 2.777 days. That's not practical though so we will round the final answer DOWN to 2 days to be safe and stay within budget.
PLEASE HELP APAP, WILL MARK BRAINLIEST WHEN POSSIBLE! The length of a rectangle is shown below:
On a coordinate grid from negative 6 to positive 6 on the x-axis and on the y-axis, two points A and B are shown. The point A is on ordered pair negative 4, 5, and the point B is on ordered pair 5, 5.
If the area of the rectangle to be drawn is 90 square units, where should points C and D be located, if they lie vertically below A and B, to make this rectangle?
1. C(4, −5), D(−3, −5)
2. C(5, −4), D(−4, −4)
3. C(5, −5), D(−4, −5)
4. C(−5, 5), D(−5, −4)
What are the dimensions of a box that can hold 512 cubic cm of 1 cm cubes and has the least surface area? Round answer to the nearest tenth, if needed. (Assume length is the smallest measurement and height is the largest measurement.)
Ginny bought 2.2 pounds of bananas at a cost of $0.49 per pound and 1.3 pounds of grapes at a cost of $1.29 per pound. What was the total cost of the bananas and grapes Ginny purchased?
Answer:
$2.76
Step-by-step explanation:
Price per pound times the number of pounds Ginny bought
Bananas:
2.2*0.49 = 1.078 -> 1.08
Grapes:
1.3*1.29 = 1.677 -> 1.68
Now, to find the total cost of both, add the prices together
1.08 + 1.68 = 2.76
Answer:
$2.76
Step-by-step explanation:
one pound of bananas cost $0.49 , multiply this cost by 2.2 to find the cost at this weight.
2.2*0.49=1.078=1.08
1.3*1.29=1.677=1.68
1.08+1.68=2.76
PLEASE HELP ME IM BEGGING YOU: Rectangle QUAD has coordinates Q(0,0), U(0, 3), A(5, 3), and D(5,0). Q'U'A'D' is the image of QUAD after a dilation with center (0,0) and scale factor 6. What are the coordinates of point U'?
The coordinates of point U' are (???)
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
...............................................................So help.
Answer: 3/11 = 0.27272727272727, -5/8 = 0.625
Step-by-step explanation:
23. 3/11 as a decimal is 0.27272727.
24. 5/8 as a decimal is 0.625.
25. 7/10 as a decimal is 0.7.
26. 2 5/7 as a decimal is 2.71428571.
And lastly, 27. -1 80/99 as a decimal is 1.888888.
If something seems incorrect here, please don't refrain to tell me.
What is the unknown fraction?
Answer: 17/100
Step-by-step explanation: I first made 8/10 into 80/100 and then i did 97-80 which is 17 so the answer is 17/100.
please help asap! :3
Answer:
B. 816
Step-by-step explanation:
plz help me have a nice day
Answer:
a
Step-by-step explanation:
**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:)
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
Daytime:
Evening:
What are the 2 MEDIANS?
Answer:
Daytime= 50
Evening=40
COLTONMCGHEE27!!!!!!!!!!!!!!!!!!!!!!! HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! PLZZZZZZZZZZ!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! Will mark brainly
3/5(20-15x)+8x=13
What is the value of 'x'?
Which expression is equivalent to the expression below?
2.1 + (–3.7h) + 1.9h – 1.4
A. 3.5 – 5.6h
B. 4.9h
C. 0.7 + 1.8h
D. 0.7 – 1.8h
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 )
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!!!)
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