The value of algebraic expression [tex]y^2+6y+8[/tex] at y = -3 is -1.
An algebraic expression is an expression built up from constant, variables, and algebraic operations : addition, subtraction, multiplication, division and exponentiation.
In the given question,
algebraic expression = [tex]y^2+6y+8[/tex]
the value of the algebraic expression at y = -3
[tex]= y^2+6y+8\\\\=(-3)^2 + 6(-3) + 8\\\\= 9 - 18 + 8\\\\=-1[/tex]
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Quesheip Use the number line below, where RS = 6y +2, ST=5y + 9, and RT= 13y - 1 a What is the value of y? b Find RS, ST, and RT. R S T a. What is the value of y? y=Type an integer or a decimal.)
Answer:
[tex]y = 6[/tex]
[tex]RS = 38[/tex]
[tex]ST = 39[/tex]
[tex]RT = 77[/tex]
Step-by-step explanation:
Given:
[tex]RS = 6y +2[/tex]
[tex]ST=5y + 9[/tex]
[tex]RT= 13y - 1[/tex]
Solving (a): The value of y
From the given parameters, we understand that
[tex]RT = RS + ST[/tex]
Substitute values for RS, ST and RT
[tex]13y - 1 = 6y + 2 + 5y + 9[/tex]
Collect Like Terms
[tex]13y - 6y - 5y = 1 + 2 + 9[/tex]
[tex]2y = 12[/tex]
Divide both sides by 2
[tex]y = \frac{12}{2}[/tex]
[tex]y = 6[/tex]
Solving (b):
The value of RS
Substitute 6 for y in [tex]RS = 6y +2[/tex]
[tex]RS = 6 * 6 + 2[/tex]
[tex]RS = 36 + 2[/tex]
[tex]RS = 38[/tex]
The value of ST
Substitute 6 for y in [tex]ST=5y + 9[/tex]
[tex]ST = 5 * 6 + 9[/tex]
[tex]ST = 30 + 9[/tex]
[tex]ST = 39[/tex]
The value of ST
Substitute 6 for y in [tex]RT= 13y - 1[/tex]
[tex]RT = 13 * 6 - 1[/tex]
[tex]RT = 78 - 1[/tex]
[tex]RT = 77[/tex]
Answer:
Guy who answered first is wrong it’s 5 not 6
Step-by-step explanation:
Need help pppppppppplz
Answer:
83%
Step-by-step explanation:
The fraction shown is 5/6.
5/6= 0.83333333
0.83333333= 83%
You are helping your dad build a rectangular dog park. The length of the dog park feet can be represented by
8x + 2 and the width in feet can be represented by 2x - 12. If your dad bought 160 feet of fencing
(perimeter), what is the length of the dog park?
Answer:
The length of the dog park is 74 feet.
Step-by-step explanation:
Given that,
Length of park = (8x+2)..(I)
Width of park = (2x-12)...(II)
Perimeter = 160 feet
We need to calculate the value of x
Using formula of perimeter of rectangular park
[tex]P=2(l+w)[/tex]
Where, l = length
w = width
Put the value into the formula
[tex]160=2(8x+2+2x-12)[/tex]
[tex]160=20x-20[/tex]
[tex]x=\dfrac{160+20}{20}[/tex]
[tex]x=9[/tex]
We need to calculate the length of the dog park
Using equation (I)
[tex]l=8x+2[/tex]
Put the value of x
[tex]l=8\times9+2[/tex]
[tex]l=74\ feet[/tex]
Hence, The length of the dog park is 74 feet.
#15 how do i do it and how do i solve?!
Answer:
perimeter=8x+30
Step-by-step explanation:
(3x+15)+(3x+15)+(x)+(x)
^each side is represented within the parentheses
then, rearrange the terms so they are organized by like terms
3x+3x+x+x+15+15
8x+30
find the base of isolation triangle whose area is 60 CM square and length of one of its equal side is 13 cm
Answer:
base = 10 cm
Step-by-step explanation:
The height from the vertex is a perpendicular bisector of the isosceles Δ
This line divides the triangle into 2 right triangles with hypotenuse 13
Thus each right triangle is a 5- 12- 13 with legs 5 and 12
The height is 12 cm and the base 5 cm
Then the base of the isosceles Δ = 2 × 5 cm = 10 cm
Note Area = 0.5 × 10 × 12 = 60 cm²
An object travels 8 miles in 20 minutes at a constant speed. What is the object's speed in miles per hour
Answer:
24miles/hourStep-by-step explanation:
Speed is the change in distance of a body with respect to time.
Speed = Distance/tIme
Given parameters
Distance = 8miles
TIME = 20minutes
Convert minutes to hour
since 60minutes = 1hr
20 min = x
cross multiply
20 = 60x
x = 20/60
x = 1/3
Hence 20mins = 1/3 hr
Speed = 8miles/(1/3)hr
speed = 8 miles * 3/1 hr
speed = 24 miles/hr
Hence the object's speed in miles per hour is 24miles/hour
The object's speed in miles per hour is 24 miles per hour.
Distance = 8 miles
Time = 20 minutes = 20/60 = 1/3 hour
The speed of an object is calculated as:
= Distance / Time
= 8 ÷ 1/3
= 8 × 3
= 24
In conclusion, the object's speed in miles per hour is 24 miles per hour.
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A 5 1/2 foot by 12 foot concrete wall is to be built using concrete blocks. What is the area of the wall
Answer:
66 feet
Step-by-step explanation:
5 1/2 times 12
A car of m = 1200. kg collides with a tree while traveling 60.0 mph. The collision occurs over a time period of 0.0500 seconds. Determine the magnitude of the force exerted on the car as it comes to rest during the collision. (1 m/s = 2.24 mph) 1.58 × 10 3N 1.44 × 10 6N 3.60 × 10 3N 6.4331 × 10 5N
Answer:
6.4331 × 10 5N
Step-by-step explanation:
Given the following :
Mass (m) of car = 1200kg
Initial Velocity (u) of car = 60 mph
Final velocity = 0 ( comes to rest)
Velocity in m/s = 60 / 2.24 = 26.785 m/s
Time (t) = 0.0500
Using the relation :
Ft = m(v - u)
Where,
v = final velocity ; u = initial velocity ; t = time ; F = force
F*0.05 = 1200(26.785 - 0)
0.05F = 32142.86 - 0
F = 32142.86 / 0.05
F = 642857.14 N
F = 6.43 × 10^5 N
Paul takes a random sample of 50 students in his seventh-grade class and finds that 20 of the students in the sample prefer chocolate ice cream over vanilla ice cream. There are 200 students in the seventh grade. Based on the sample proportion, about how many students in the seventh grade would be expected to prefer chocolate ice cream over vanilla ice cream? 40 80 50 200 I am confused. Please explain a step by step explanation
Answer:
80 students.
Step-by-step explanation:
Since there were 50 students, and 20 students wanted the chocolate icecream, that makes a proportion of 2/5. Then, there are 200 students in this whole seventh grade, and imagine that they have the same proportion of the 50 students. So, you should do 2/5 × 200, and the answer is 80.
I hope this helps you! ;)
Find the distance of each segment AB and CD. You may leave in radical form. A (3, 4) B(1, 0) and C (-1, 2) D (-2, 5)
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
AB
[tex]\sqrt{(1-3)^2+(0-4)^2}[/tex]
[tex]\sqrt{4+16}[/tex]
[tex]\sqrt{20}[/tex]
[tex]2\sqrt5[/tex]
CD
[tex]\sqrt{(-2-(-1))^2+(5-2)^2}[/tex]
[tex]\sqrt{1+9[/tex]
[tex]\sqrt{10}[/tex]
Hope this helps.
頑張って!
Answer:
Step-by-step explanation:
se the graph to determine the input values that
correspond with f(x) = 1.
O x=4
O x= 1 and x = 4
O x= -7 and x = 4
O x= -7 and x = 2
6.
(-6, 4)
4
(1,4) w
2
(-7, 1)
(2, 1) x w
2
4
-8/ -6 -4 -2 e
-2
-4thrrt
F(t)+-2t^2+5t, [1,6] What could this function model be used in real life?
Explanation:
It might represent the relative position of an object that has some initial velocity and constant acceleration. For whatever reason, the time period of interest is 1 to 6 seconds.
Which equation shows the correct relationship between the measures of the angles of the two triangles?
Answer:
The answer is C
Answer:
c is the answer
Step-by-step explanation:
the answer is c
The left and right page numbers of an open book are two consecutive integers whose sum is 229
Answer:
114, and 115
Step-by-step explanation:
114+115 = 229
Answer:
114 and 115
Step-by-step explanation:
Let's say the pages are p
so
Left page = p
Right page = p+1
p(p+1) = 229
2p+ 1 = 229 we want to know what p is so isolate the variable:
-1 -1
2p=228 Divide:
p=114
The pages are 114 and 115
Check: 114+115 = 229
Hope this helps :)
Which of the following is a name for this line? I’m unsure of this question Pleaseee Helppp
Answer:C
Step-by-step explanation:
the line above AB signifies that its a line segment
there are points for A and B
please help with all 3!! will give brainliest!!
Answer:
11. 9. 4.
Step-by-step explanation:
Since BD bisects ABC, angle ABD = angle CBD.
(13x - 56) = (7x + 10)
6x = 66
x = 11.
Again for the next question BD bisects ABC.
(x + 15) = (4x - 12)
3x = 27
x = 9.
For the last question,
(9x + 9) = (12x - 3)
3x = 12
x = 4.
Question 1 Determine if graph shows two quantities that are proportional to each other. A Proportional B Non-Proportional Why or why not?
it is not proportional because the line does not go straight from the origin. The origin is 0 and 0 in the bottom corner
Write an expression equivalent to 6x+3y-4x+2
Answer:
10x+3y+2
Step-by-step explanation:
If f(x)=3-|7+2x|, evaluate if f(-5)
Answer:
0
Step-by-step explanation:
the || makes whatever number is inside it abslute so -3 becomes 3 instead
Answer:
[tex]f(-5)=0[/tex]
Step-by-step explanation:
[tex]f(x)=3-|7+2x|\\f(-5)=3-|7+2(-5)|\\f(-5)=3-|7+(-10)|\\f(-5)=3-|-3|\\f(-5)=3-3\\f(-5)=0[/tex]
Could -2 be used as a base to rewrite 32?
engage"
Select one:
OYes
ONO
Submit Answer
Answer:
No
Step-by-step explanation:
During break 125 students went to canteen to purchase cake and ice-cream. If 80 students purchased cake, 57 purchased ice-creams, find the number of students who purchased both.41.
Answer: 12
Step-by-step explanation:
Total = Cake + Ice Cream - Both
125 = 80 + 57 - Both
125 = 137 - Both
-12 = -Both
12 = Both
Answer:
Step-by-step explanation:
Total = Cake + Ice Cream - Both
125 = 80 + 57 - Both
125 = 137 - Both
-12 = -Both
12 = Both
6) A demand curve for a product is the number of items the consumer will buy at different prices. At a price of $2 a store can sell 2400 of a particular type of toy truck. At a price of $8 the store can sell 600 such trucks. If x represents the price of trucks and y the number of items sold, write an equation for the demand curve.
Given :
When price is $2 dollars he sells 2400 units .
When price is $8 dollars he sells 600 units .
To Find :
If x represents the price of trucks and y the number of items sold, write an equation for the demand curve.
Solution :
Two points are given :
[tex](x_1,y_1)=(2,2400)[/tex]
[tex](x_2,y_2)=(8,600)[/tex]
Now , slope is given by :
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}\\\\m=\dfrac{2400-600}{2-8}\\\\m=\dfrac{-1800}{6}\\\\m=-300[/tex]
Now , the equation of line containing these two points and slope -300 is :
[tex](y-y_1)=m(x-x_1)\\\\y-600=-300(x-8)\\\\y=-300x+2400+600\\\\y=-300x+3000[/tex]
Therefore , equation for the demand curve is [tex]y = -300x +3000[/tex] .
Hence , this is the required solution .
A football team lost 2 yards every 5 minutes. Write the integer that represents how many yards the team lost after 15 minutes
Answer:
the answer is in the picture
Step-by-step explanation:
Help me check my answer! :)
Use greater than, less than, or equal to sign to compare.
3/5 and 0.6
(i got equal to, just checking )
Answer:
yes its equal :)
Step-by-step explanation:
3/5= 0.6
Answer:
[tex]\huge\boxed{\sf Equal \ to}[/tex]
Step-by-step explanation:
=> 3/5 = 0.6
So,
=> 0.6 = 0.6
We'll use "equal to" sign.
Hope this helped!
~AnonymousHelper1807Marcus has $45 in his bank account. He deposits a check for $65. Two days later he
withdraws $20. How much money is left in his account?
Answer: $90
Step-by-step explanation: Take 45 and add 65, then subtract 20.
need help i WILL MARK YOU BRANLEST HELP!!!!!
simplify the expression (a^3 over 2)^3
Step-by-step explanation:
(a3/2)3
(a3)3/(2)3
a9/8
Hope it is helpful for you
Which of the following represents fifth root of x to the fourth power in exponential form? (6 points) a 4x5 b 5x4 c x to the five fourths power d x to the four fifths power
Answer:
B) 5x4
one its not A nor its C
its either B or D but i would go with B because D doesn't make sense all because D is saying x4^5 but its 5x^4
Answer:
[tex]x^{\frac{4}{5} }[/tex]
Step-by-step explanation:
Using the rule of radicals/ exponents
[tex]\sqrt[n]{x^{m} }[/tex] ⇔ [tex]x^{\frac{m}{n} }[/tex] , thus
[tex]\sqrt[5]{x^{4} }[/tex] = [tex]x^{\frac{4}{5} }[/tex]
five number are in the ratio 1:2:3:4:5 and the sum is 585.find the numbers
Answer:
39, 78, 117, 156 and 195.
Step-by-step explanation:
If the lowest number is x then we can write the numbers as:
x, 2x, 3x, 4x and 5x, so:
x + 2x + 3x + 4x + 5x = 585
15x = 585
x = 39.
So the second number is 39 * 2 = 78
So all numbers are 39, 78, 117, 156 and 195.
5 Laura says that the distance between (4, -2) and (4, -7) in the coordinate plane is
equal to 1-2-(-7) units.
Ryan says that the distance between the points (2, 3) and (-9,3) in the coordinate
plane is equal to 2 + 9 units.
Is either Laura or Ryan correct? Explain.
Answer:
Ryan is correct.
Step-by-step explanation:
Laura says that the distance between (4, -2) and (4, -7) in the coordinate plane is equal to 1-2-(-7) units.
Here, x-coordinates are same, so the distance between these points is the difference between y-coordinates.
Distance between (4, -2) and (4, -7) = -2-(-7)
= -2+7
= 5 units.
So, Laura is incorrect.
Ryan says that the distance between the points (2, 3) and (-9,3) in the coordinate plane is equal to 2 + 9 units.
Here, y-coordinates are same, so the distance between these points is the difference between x-coordinates.
Distance between (2, 3) and (-9,3) = 2-(-9)
= 2+9
= 11 units.
Therefore, Ryan is correct.
1.
Change these measurements into metres:
(b) 425 cm
(d) 140 cm
(e) 780 cm
(a) 245 cm
(c) 535 cm
(f) 340 cm
(g) 2 565 cm
(h) 5 010 cm
2.
Change these measurements into centimetres:
(a) 8 m
(b) 13 m
(c) 24 m
(d) 207 m
(e) 21 m
(f) 100 m
(g) 105 m
(h) 1 m
Answer:
1m = 100cm, 100cm = 1m
1.
b) 425cm = 4.25m
d) 140cm = 1.4m
e) 780cm = 7.8m
a) 245cm = 2.45m
c) 535cm = 5.35m
f) 340cm = 3.4m
g) 2,565cm = 25.65m
h) 5,010cm = 50.10m
2.
a) 8m = 800cm
b) 13m = 1,300cm
c) 24m = 2,400cm
d) 207m = 207,000cm
e) 21m = 21,000cm
f) 100m = 100,000cm
g) 105m = 105,000cm
h) 1m = 100cm
Answer:
•Centimeters to Meters
a) 2.45 m
b) 4.25 m
c) 5.35 m
d) 1.4 m
e) 7.8 m
f) 3.4 m
g) 25.65 m
h) 50.1 m
•Meters to Centimeters
a) 800 cm
b) 1,300 cm
c) 2,400 cm
d) 20,700 cm
e) 2,100 cm
f) 10,000 cm
g) 10,500 cm
h) 100 cm
Step-by-step explanation:
When you go to convert centimeters into meters, you divide the number of centimeters by 100. Once divided, that number is how many meters it is. Ex. There are 652 cm and you need to find out how many meters there are. Divide 652 by 100 (652/100) and that equals 6.52 m
When you go to convert meters into centimeters, multiple the number of meters by 100. Ex. There’s 4 m of rope and you want to know the length in centimeters. Multiply 4 by 100 (4x100) and you should get 400 cm.