Answer:
h(x) = 5x+6
Step-by-step explanation:
h(x) = f(x) - g(x)
h(x) = 3x+2 - (-2x-4)
h(x) = 3x+2 + 2x+4
h(x) = 5x+6
All we need to do is plug in the equations for f(x) and g(x) into h(x)
Let's do it
f(x) = 3x + 2 and g(x) = -2x -4
h(x) = f(x) - g(x)
h(x) = (3x + 2) - (-2x - 4)
Combine like terms
(3x) - (-2x) → 3x + 2x → 5x
(+2) - (-4) → 2 + 4 → 6
Let's put them together
h(x) = 5x + 6
Hope I helped ! :)
which expression is equivalent to 4(x+7)
Answer:
4x + 28
Step-by-step explanation:
Here, what you need to do is multiply 4 by x, and then 4 by 7. It's really just the distributive property doing its work.
4(x + 7)
(4 * x) + (4 * 7)
4x + 28 is the new expression.
Help please I put a picture
Answer:
Q' is at 0, 1.
J' is at 5, 3.
H' is at 3, 5.
Step-by-step explanation:
Whoopsiedaisy nearly botched it up
Asap anwer plssssss!!! Ed can ride 30km on the bicycle in the same time it takes him to walk 14km. If his riding rate is 10kph faster than his walking rate, what is his walking rate
Answer: 8.75
Step-by-step explanation:
Let walking rate = x
Riding rate = x + 10
Time taken to ride 30km = time taken to walk 14 km
Time = distance / speed
Hence,
30/ (x + 10) = 14 / x
Cross multiply :
30x = 14( x + 10)
30x = 14x + 140
30x - 14x = 140
16x = 140
x = 140 / 16
x = 8.75
Walking rate = 8.75 kph
............................
Answer:
The answer above is correct.Step-by-step explanation:
I hope l helped you. ❤❤6. Which expressions are equivalent to
4(x - 1)? Circle all that apply.
Answer:
C, E
Step-by-step explanation:
it is
Talla is packing a moving box. She has a square-framed poster with an area of 4 square feet. The cube-shaped box has a volume of 12 cubic feet. Will the poster lie flat in the box? Explain?
Click the icon to view the moving box
An area of 4 square feet means the square poster has dimensions. If the poster were the side of a cube, that cube would have a volume of The box has a
Se flat in the bottom of the box
sides must be
than the sides of the poster, meaning that the poster
volume, so its
Hence , the poster will lie flat in the box as the area of box is much greater than the area of poster .
The house occupied by a two-dimensional flat surface is termed the realm. it's measured in sq. units. The area of the cube is given by A = 6a² where "a" is the side of the cube . ........(1)The number of house, measured in cubiform units, that associate degree object or substance occupies is termed volume. Two-dimensional doesn’t have volume however has space solely which is given by V = a³ where "a" is the side of the cube .It is given that area of square framed poster = 9 sq. feet and volume of cube shaped box = 30 cubic feet.
Using volume formula , we get
a³ = 12
a = ∛12
a = 2.28 feet
Putting a = 2√3 in equation (1) , we get area of cube
6 (2.28)² = 6 × 5.19
= 31.19 square feet
Since the cube box is giant enough in order that the poster can lie flat within the box.
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There were 225 tickets sold for the ballgame. Children's' tickets were $1 and adults' tickets were $2. If
the total amount of tickets sold was $400, how many of each type were sold?
Answer: 175 adult and 50 children
Step-by-step explanation:
1x+2y=400
x+y=225
subtract x
y=225-x
substitute for y in first set
1x+2(225-x)=400
1x+450-2x=400
450-x=400
-x=-50
x=50
substitute for second set
50+y=225
y=175
What is the sign of the product of three integers with the same sign? Explain your thinking
Answer:
The same sign that the integers have
Step-by-step explanation:
When 3 positive numbers are multiplied together, the product will be positive. In fact, when any number of positive numbers are multiplied together, the product will always be positive.
Examples: 5*7*14=490
1*2*3*4*5*6*7=5040
When 3 negative numbers are multiplied together, the product will be negative. Two negatives make a positive and a negative and a positive will make a negative. Because the product of the first two numbers will be positive, the final product will be negative.
Examples:
(-9)(-2)(-5)
Two negatives make a positive
= 18(-5)
A negative and a positive make a negative
= -90
I hope this helps! Please comment if you have any questions :)
What is the greatest common factor of 16, 8, and 44?
the greatest common factor is 4
solve 2x^2+9x-7=0
Give your solutions correct to 3 significant figures.
Answer:
X = -1 or X = -3.5
Step-by-step explanation:
2x^2 + 9x + 7 = 0
ac = 14
b = 9
find a two numbers which when you multiply you get 14 and add you get 9.
so it will 2 and 7. (they replace b which is 9x)
therefore: 2x^2 + 2x + 7x + 7 = 0
find common factors using each 2 from the four.
2x( x + 1) + 7 (x+1) = 0
so it will be (2x + 7) (x+1) = 0
find x,
i) 2x +7 = 0
x= -3.5
ii) x + 1 = 0
x = -1
write the equation of the ellipse graphed below.
ps. this is on Khan Academy’s ‘Ellipse standard equation & graph’
Answer: I am assuming its telling me to see where it is placed at so it would be (5,7).
I not for sure but I am pretty sure!
Good Luck!
whats 2+2
idbibidhbvisdhbvkdbhvadkvbavsdjbvksajbvhllkcxbjv
fv;dfjnvalb
n;dvljadnfb;ljdafnj
Question 19 of 25
The graph of a certain quadratic function has no x-intercepts. Which of the
following are possible values for the discriminant? Check all that apply
A.0
B.-7
C.18
D.-25
A quantity with an initial value of 5500 decays exponentially at a rate of 5% every eight hours what is the value of the quantity after one day to the nearest hundredth
Answer:
≈4715.56
Step-by-step explanation:
The value of the quantity after one day to the nearest hundredth will be 4715.56.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Given that:-
A quantity with an initial value of 5500 decays exponentially at a rate of 5% every eight hours what is the value of the quantity after one day to the nearest hundredthThe expression for the final value will be:-
Final quantity = 5500( 0.95 )³
Final quantity = 4715.56
Therefore the value of the quantity after one day to the nearest hundredth will be 4715.56.
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Help easy math question!!!
Answer:
16 feet
Step-by-step explanation:
This ladder and building creates a right triangle with 34 as the hypotenuse and 30 as a side. the Pythagorean theorem says that a^2 + b^2 = c^2 so 900 + b^2 = 1156. b^2 = 256, square root both sides and you get b = 16
Answer:
16 feet
Step-by-step explanation:
use Pythagorean theorem
a^2 + b^2 = c^2
a^2 + 30^2 = 34^2
a^2 + 900 = 1156
move 900 to the right to leave the a variable by itself
a^2 = 256
take the square root of both sides
a = 16
A box contains 90 discs numbered from 2 to 90. If one disc is drawn at a random, find the probability that it bears a two digit number
Step-by-step explanation:
Let E be the event of drawing a disc from the box of discs numbered from 1 to 90
Two digit numbers from 1 to 90=10,11,12,.....,90
No. of favorable outcomes=81
Total no. of possible outcomes =90
We know that, Probability P(E) =(Total no.of possible outcomes)(No.of favorable outcomes)=9081=109
Therefore, the probability of a two digit numbered disc from the box of discs numbered from 1 to 90=109
hope it helps !
Can someone help me with questions 5&6 please
Answer:
5) B. -6
6) A. 2/3
Step-by-step explanation:
take two points (3, 2) and (12, 8) and use the equation y2- y1 / x2 - x1 to find the slope
(8-2) / (12-3)
6/9 simplified to 2/3
Doctor Forrest charges $60 for a home visit plus an additional fee of $12.50 per hour spent with the patient. Doctor Forrest arrives at a patient’s home at 9:30 am. The total bill for the visit was $97.50. What time did the doctor leave the patient's home?
Answer: 12:30 p.m
Step-by-step explanation:
h=hours
97.5=60+12.5h
12.5h=37.5
h=3
9:30 a.m.+h=
9:30 a.m.+ 3=12:30 p.m
a positive integer n not exceeding 100 is chosen in such a way that if n ≤ 50 , then the probability of choosing n is p , and if n > 50 , then the probability of choosing n is 3 p . the probability that a perfect square is chosen is (a) 0.05 (b) 0.065 (c) 0.08 (d) 0.09 (e) 0.1
The probability that a perfect square is chosen is 0.08;
P represents the likelihood of selecting the number 'n' such that n>50. There are exactly 7 perfect squares less than 50. Therefore, there is a 7/50 chance of having a perfect square that is less than or equal to 50.
The likelihood of selecting the number "n" such that n>50 is also given as 3p. From 50 to 100, there are precisely 3 perfect squares. Therefore, there is a 3/50 chance of having a perfect square that is higher than 50 and less than or equal to 100.
The chance of selecting any number between "1" and "100" is p+3p=4p.
The probability that the chosen number is a perfect square and less than or equal to 50 is p × 7/50;
The odds that the selected number is larger than 50 but not higher than 100 and a perfect square are 3p × 3/50;
Consequently, the likelihood that any selected number is a perfect square is (p×7/50+3p×3/50)÷4p
If we simplify, we have 0.08.
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whats my fav football team the person who gets it right gets brainliest
A Pats
B Cheifs
C Panthers
D Steelers
PQR~TSR,find the length of SRe
Answer:
SR = 17.56
Step-by-step explanation:
Formula = PR * RT = SR * RQ
60 * (4x - 26) = 38 * (2x - 1)
Solve for x
240x - 1560 = 76x - 38
164x = 1522
x = 9.28
Solve for SR
2x - 1
2(9.28) - 1
SR = 17.56
The value of the variable 'x' is 29. Then the length of the side SR will be 57 units.
What is the triangle?The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180 °.
The ratio of the matching sides will remain constant if two triangles are comparable to one another.
The triangle ΔPQR is similar to the triangle ΔTSR. Then the ratio of the corresponding side will be constant.
SR / RQ = RT / PR
(2x - 1) / 38 = (4x - 26) / 60
(2x - 1) / 19 = (2x - 13) / 15
19(2x - 13) = 15(2x - 1)
Simplify the equation further, then we have
38x - 247 = 30x - 15
38x - 30x = 247 - 15
8x = 232
x = 232 / 8
x = 29
Then the length of the side SR will be given as,
SR = 2(29) - 1
SR = 58 - 1
SR = 57
The value of the variable 'x' is 29. Then the length of the side SR will be 57 units.
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Tammy and Jodi assembled 420 circuit boards in 8 hours. The next day they assembled 36 more circuit boards in the same amount of time. What was their average rate on the second day?
Answer:
fifty seven
Step-by-step explanation:
what is the total price of a $48 jacket with 8% sales tax
The length of a flower garden is 9 meters. The width of the garden, w, is unknown. If the area of the garden is greater
than 45 square meters, what are the possible values of w, its width, in meters?
OW> 36
Ow< 36
OW> 5
O w<5
Answer:
The width should be more than 5 m. So it can be 6,7 ...
Step-by-step explanation:
The length of a flower garden is = 9 m
The width of a flower garden is = w
The area of a flower garden > 45 sq. m
The area of a flower garden = l * b
l * b > 45
9 * b > 45
the width should be more than 5 m. So it can be 6,7 ...
A chord of a circle is equal to the radius of the circle, name the figure obtained.
Answer:
diameter
Step-by-step explanation:
that's the answer i think
My mom recommends that my sister and I drink 6 liters of water every day. There are approximately 29.6 milliliters in 1 fluid ounce. What is the measurement to the number of fluid ounces in 6 liters?
Answer:
there are 202.884 fluid ounces in 6 liters
Step-by-step explanation:
your mom wants you to drink a lot of water
Help if you can plz!!!
What is 55% of 35?
pls help
Answer:
55% of the number 35 is 19.25.
Hope this helps!
Um could you just explain how you got the answer so i can do the rest by myself?? ❤︎❤︎
In APQR, mZP = (4x – 14)", mZQ = (5x + 6)°, and
mZR = (x - 2)°. Find mZR.
Answer:
x = 19
m<R = 17°
Step-by-step explanation:
PQR is a triangle and the sum of interior angles in a triangle is equal to 180°
m<P + m<Q + m<R = 180°
4x - 14 + 5x + 6 + x - 2 = 180° add like terms
10x - 10 = 180 add 10 from both sides
10x = 190 divide both sides by 10
x = 19
angle R is x - 2 so if we replace x with the value we found
m<R = 19 - 2 = 17°
i need help. thank you
Answer:
x = 2
Step-by-step explanation:
x/6 + 1 = 2x - 8/3 (first you want to multiply by 6 on both sides to get rid of x/6)
x + 6 = 12x - 16 (add 16 on both sides)
x + 22 = 12x (subtract x on both sides)
22 = 11x (divide by 11 on both sides)
2 = x
Hope this helps ya!!