The value of f(10)+10 for the given function is 32.
The given functions are f(x) = 3x-8 and g(x) = -x²+ 4x-11.
What is the function?Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.
1) Put x=10 in the function f(x) = 3x-8, we get
f(10)=3(10)-8
= 22
So, f(10)+10
= 22+10=32
2) Put x=-9 in the function g(x) = -x²+ 4x-11, we get
g(-9)=-(-9)²+4(-9)-11
= -81-36-11
= -128
So, g(-9)+7
= -128+7
= -121
3) Put x=4 in the function g(x) = -x²+ 4x-11, we get
g(4) = -(4)²+4(4)-11
=-16+16-11
=-11
Now, -2xg(4) =-2x(-11)
=22x
4) Put x=-4 in the function f(x) = 3x-8, we get
(-4)=3(-4)-8
= -20
Put x=7 in the function g(x) = -x²+ 4x-11, we get
g(7)=-(7)²+4(7)-11
= -49+28-11
= -32
5. Given f(x)= 9 –2x, if f(x)= 19
Now, 9-2x=19
⇒ -2x=10
⇒ x=-5
Therefore, the value of f(10)+10 for the given function is 32.
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CAN SOMEONE TELL ME THE AREA PLEASE
Answer:
1.3 m²
Step-by-step explanation:
The shape is a trapezoid.
Area of a trapezoid = ½(a + b)*h
Where, a = 0.8 m
b = 1.8 m
h = height of the trapezoid which is not given.
Therefore, find h using trigonometric function with 45° as reference angle:
Hypotenuse = 1.4 m
Opposite = h
Apply SOH, which is:
Sin 45 = Opp/Hyp
Sin 45 = h/1.4
1.4*Sin 45 = h
0.989949493 = h
h ≈ 1.0 m
✔️Area of Trapezoid = ½(0.8 + 1.8)*1 = 1.3 m²
If a rocket travels 68,732 milometers in 3 hours, what is it's speed?
a) 23,000 Km/hr
b) 23,000 hr/km
c) 22,910 hr/km
d) 22,911 km/hr
Answer:
v = 0.0229 km/h
Step-by-step explanation:
Given that,
Distance, d = 68,732 milometers = 0.0687 km
Time, t = 3 hours
We need to find the speed of the rocket. The speed of an object is given by :
[tex]v=\dfrac{d}{t}\\\\v=\dfrac{0.0687}{3}[/tex]
v = 0.0229 km/h
So, the speed of the rocket is 0.0229 km/h.
PLS HELP BIG RESPONSE ALOT OF POINTS
Answer: Melanie has the most money at the end of the week.
Step-by-step explanation:
Melanie gets the 1 weekly allowance. But it could also depend on how much her weekly allowance is. Your bus rides aren't a lot, so riding the bus 7 times doesn't take much money. She also gets paid for 2 hours, so she could be working somewhere with more money being paid by the hour. While on the other hand, Dana could be working a minimum wage job and wasting more money, because she also pays for food. She could be on her own and have to spend more money for her needs and the things she would need. (And because it says Melanie gets 1 weekly allowance that means she still lives with her parents so they pay for her benefits and things she needs.)
Enter numbers in figures to complete the passage below.
Give all values in pounds and pence, e.g. £3.50 not £3.5
SALE
Taal buys a jacket in the sale.
It has 15% off and he pays £42.50.
The original price of the jacket was £
He saved £
Answer:
£50 ; £7.50
Step-by-step explanation:
Given that:
Discount on sale, d = 15%
Amount paid = £42.50
Hence the relation to obtain the amount paid goes thus ;
Amount paid = (1 - d) * original amount
Let original amount = x
42.50 = (1 - 0.15)x
42.50 = 0.85x
x = 42.50 / 0.85
x = £50
Amount saved :
£(50 - 42.50) = £7.50
According to the graph, what is the value of the constant in the equation
below?
25+
(3.25)
Height
Constant
Width
20 +
15
(5, 15)
Height
10
(15,5)
(25,3)
10
15
20
25
Width
O A. 5
B. 100
O c. 10
O D. 75
Answer:The Answer is C
Step-by-step explanation:
The value of the constant in the equation below is 100. So, the correct option is (C).
What is Height?Height also known as elevation is defined as the vertical distance either between the top and bottom of something or between a base and something above it. It refers to something measured vertically high or low.
Height is body measurement usually measured in feet (feet) + inch (in) and centimeter (cm) where these are length measurements, so the SI unit will be meter.
Height equation: H= C/W
where, H is the height, C is the constant and W is the width.
We choose a point given in the graphic, I will choose (4,25), which means that when W=4 and H=25 . We use this to find the constant. So
25=C/3
C= 100
Thus, the value of the constant in the equation below is 100. So, the correct option is (C).
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Help pls!!ty!!:))):):
Answer:
Step-by-step explanation:
y = 85x+90
3) 85*3+90 (rule)
y= 85*3 = 255 + 90 = 345 (output)
4) 85*4+90 (rule)
y = 85*4= 340 + 90 = 430 (output)
Hiromi spends 100 minutes on a research project. Al spends 1/2 of the time Hiromi spent on his research project. How many hours did Hiromi and Al spend on their research projects altogether?
(Mixed number and fraction)
Answer:
Step-by-step explanation:
Use the estimates from (c) and (d) to calculate the relative change in the average household
income from 2002 to 2012. Round to the nearest one percent. Indicate if the change is an
increase or decrease.
Answer:
it decreased by 5.55% change of 6%
The relative change is -6% Rounding to the nearest percent.
What are average?The average can be calculated by dividing the sum of observations by the number of observations.
Average = Sum of observations/the number of observations
The relative change can be calculated by dividing the absolute change (the subtraction of the values) by the initial value.
The absolute change is the final value minus the initial value;
Absolute change = 51000 - 54000 = -3000
Now, calculating the relative change;
Relative = -3000/54000
Relative = - 0.0555
Since the relative change is negative, this change indicates a decrease.
Therefore, the relative change is -6% Rounding to the nearest percent.
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A normal body temperature for a human is approximately 98° Fahrenheit. What is this temperature in degrees Celsius? Round your answer to the nearest tenth.
Answer:
37°C
Step-by-step explanation:
The normal body temperature of a human is 98°F. To convert it into Celsius we know the realtion between Celsius and Farenheight as ,
➳ C/5 = F -32/9
➳ C/5 = 98 - 32/9
➳ C/5 = 66/9
➳ C = 66/9 × 5
➳ C = 36.66 °C ≈ 37°C
Hence the body temperature in Celsius measure is 37°C .Solve for the unknowns.
a, b , c ,d
Answer:
can u plz make a good picture to solve I can't see good
Step-by-step explanation:
and thanks
-10 + 10у + -3y +7
DOES ANYONE KNOW THE ANSWER????????????
Answer:
The answer is 30.
Step-by-step explanation:
Don't worry about the x and y it just make your head confuse, that's what my teacher said just add up the number.
Snigdha can type 550 words in half an hour how many words would she type in 6 minutes
Answer:
110
Step-by-step explanation:
took the same test 1 week ago
Answer:
110 words
Step-by-step explanation:
What we know:
- Snigdha can type 550 words in 30 minutes
1) Find how many words they can type in 1 minute
To do this, divide 550 words by 30 minutes:
550÷30=18.3333... words
Therefore, Snigdha can type approximately 18 words in one minute.
2) Multiply 18 words by 6 minutes
18.3333...×6=110
Therefore, Snigdha can type 110 words in 6 minutes.
I hope this helps!
The distance from Cherotich's home to school is
2km 400m. He goes to school in the morning
and returns in the evening daily. What distance
does he cover from Monday to Friday?
Step-by-step explanation:
his one day distance=2400m
his mon -fri distance=2400×4
=9600m
I need help pls. I'm not sure how to solve it
Answer:
0 is an integer and a whole number
Question
A county fair attracts large crowds of people every year. Ideally, 280,000 people come to the fair, but this value can vary by
as many as 8,500 people. What are the maximum and minimum numbers of people expected to attend the fair?
Answer:
the maximum amount of people would be 288, 500 and the minimum would be 271,500
Step-by-step explanation:
basically if the average number is 280,000 all we have to do is add and subtract 8,500 to find the maximum and minimum
There could be up to 288.500 persons present, with a minimum of 271,500.
What is an expression?Mathematical expression is the combination of numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also be used to denote the logical syntax's operation order and other properties.
The average number is 280,000 all we have to do is add and subtract 8,500 to find the maximum and minimum.
Maximum = 2800000 + 8500 = 288,500
Minimum = 271,500 - 8500 = 263000
Therefore, there could be up to 288.500 persons present, with a minimum of 271,500.
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In the diagram, the measure of angle 5 is (10x – 9)°, and the measure of angle 7 is (9x)°. What is the measure of angle 6, to the nearest degree?
A transversal intersects 2 lines to form 8 angles. Clockwise from the top left, the angles are 1, 2, 3, 4; 5, 6, 7, 8.
What is the measure of angle 6, to the nearest degree?
9514 1404 393
Answer:
99°
Step-by-step explanation:
If we assume that angles 5 and 7 are vertical angles, they are congruent:
10x -9 = 9x
x = 9 . . . . . . . add 9-9x
Then angles 5 and 7 are ...
(10·9 -9)° = 9·9° = 81°
Angle 6 will be the supplement to this.
angle 6 = 180° -81°
angle 6 = 99°
Answer:
the answer is not 99
Step-by-step explanation:
What is the area of the triangle?
O 216 cm?
O 288 cm2
O 324 cm2
O 576 cm
Base:36
Hight 16
Answer:
288 cm^2
Step-by-step explanation:
Area of Triangle: 1/2bh
1/2(36)(16)
1/2(576)
288
216 is the real answer i took the test.
Which represents the value of c?
Oc=
(3) sin(409)
sin (45)
C =
(3) sin(45)
sin (409)
C =
sin(409)
(3) sin(45°)
sin(45)
(3) sin(409)
Answer:
c = 3.3 cm
Step-by-step explanation:
A = 180 - (95 + 45) = 40° (sum of triangle)
a = 3.0 cm
C = 45°
c = ?
Applying the Law of Sines, we have:
[tex] \frac{Sin(40)}{3} = \frac{Sin(45)}{c} [/tex]
Cross multiply
[tex] Sin(40)*c = Sin(45)*3 [/tex]
Divide both sides by sin(40)
[tex] c = \frac{Sin(45)*3}{sin(40)} [/tex]
c = 3.3001886 ≈ 3.3 cm (nearest tenth)
ASAP pls help
A chef has 5 blocks of butter. Each block weighs 1 pound. She cuts each block into fourths. How many 1/4 -pound pieces of butter does the chef have?
Answer:
20, 1/4 pound pieces of butter
Step-by-step explanation:
1/4*4= 1 pound
so,
4*5=20
:)
Can someone please help and explain? Will give brainliest to most helpful
Answer:
x = 44
y = 22
Step-by-step explanation:
✔️Find x:
Reference angle = 60°
Hypotenuse = x
Opposite side length = 22√3
Applying the trigonometric FUNCTION, SOH, we have:
Sin 60 = opp/hyp
Sin 60 = (22√3)/x
x × Sin 60 = 22√3
x = (22√3)/Sin 60
x = (22√3)/(√3/2) (sin 60 = √3/2)
x = 22√3 × 2/√3
x = (22√3 × 2) / √3
x = (44√3) / √3
x = 44
✔️Find y:
Reference angle = 60°
Hypotenuse = x = 44
Adjacent length = y
Applying CAH, we have:
Cos 60 = adj/hyp
Cos 60 = y/44
44 × Cos 60 = y
44 × ½ = y (cos 60 = ½)
22 = y
y = 22
Answer:
x=44,y=22
Step-by-step explanation:
sin 60=22√3/x
x=22√3/sin60=44
sin30=y/x
y=sin30×44=22
Given
mZAOC = 104°
mZAOB = 7x + 30°
mZBOC = 9x + 42°
Find mZBOC:
Answer:
The answer is 60°
Step-by-step explanation:
From looking at the problem we know that mZAOB and mZBOC make up angle mZAOC.
We also know that mZAOC is 104°
This means that the two other angles have to make up 104°
To figure out mZBOC,
First, you can subtract 30 and 42 from 104.
We do this because it allows us to focus on the variables.
104-30-42=32
Next, we can look at the variables and the coefficients and see that in order for 7x and 9x to make 32, x has to equal 2.
7(2)+9(2)=32
Now that we know what x equals we can substitute it into the equation for mZBOC.
9x + 42°
9(2) + 42°
60°
Thus, mZBOC equals 60°
Find LR, given kite FLRD with diagonals intersecting at A and FA = 4, AR = 12, LA = 5
Answer:
LR = 13
Step-by-step explanation:
LAR is a right triangle and if two sides are known you can you use the pythagorean theorem to find the missing side
LA = 5
AR = 12
5² + 12² = LR²
LR² = 25 + 144
LR² = 169
LR = √169 = 13
Rhonda has a USB drive that can hold 8 million bytes choose the best approximation of the number of bytes that Rhonda’s USB drive can hold
Answer:
8 times 10^9
Step-by-step explanation:
hope it helps
please help me 80% of what number is 16
What is the part?
What is the total?
What is the percent?
What is the answer?
Answer:
80 percent of 16 is 12.8 I'm sorry but that's all I know
The figure shows two parallel lines cut by a transversal. Which angle pairs are alternate exterior angles? Choose all that apply. Please help PT.3
A. Angle A and Angle G
B. Angle B and Angle H
C. Angle B and Angle F
D. Angle B and Angle G
E. Angle H and Angle A
F. Angle E and Angle D
Answer:
D and E
Step-by-step explanation:
Answer: d and e!
Step-by-step explanation:
:)
RADICALS
NEED HELP ASAP PLEASE!!!
Answer:
[tex]\sqrt[3]{64} = 4[/tex] [tex]\sqrt{64} = 8[/tex]
Step-by-step explanation:
Find the values of m and n.
A. m = 60, n = 12
B. m = 50, n = 20
C. m = 50, n = 16
D. m = 60, n = 24
Answer:
D. m= 60, n= 24
Step-by-step explanation:
The angle marked with blue, will also be 2m° (Vertically opposite angles)
So, 2m = (4m- 120)°
2m = 120°
m = 60°
Now, (4m-120)° = 5n° (Vertically opposite angles)
[4(60)- 120]° = 5n°
240- 120 = 5n°
120/5° = n
n= 24°
Hope this helps you
Wilbur landed his plane.
The plane's elevation relative to the ground (in meters) as a function of time (in seconds) is graphed.
8000+
7000
6000
5000 -
Elevation (meters)
4000
3000
2000
1000
200
400
1600
an 00 1009 1200 1400
Time seconds)
Will mark brainiest
NEED ASAP!! ILL GIVE YOU 30 points!!
Hopt decided to sell some mimstoons (x) and kents (y). Altogether,
she planned to sell at least 8 items.
Write an inequality showing the above constraint.
Answer:
X+Y is greater then or equal to 8
Step-by-step explanation:
In total she wants to sell at least 8 items which implies shes willing to sell more (so greater or equal to) then it's adding X+Y bc those are the items that she is selling
I need to know how to simplify 18 - 9 x (-4) ÷ 3 + 10 x 2