Answer:
The equation in point-slope form is: [tex]\mathbf{y=\frac{1}{11}x-\frac{5}{11} }[/tex]
Step-by-step explanation:
We need to find equation of line in point slope form that passes through points (5,0) and (-6, -1).
The general equation of point slope form is: [tex]\mathbf{y-y_1=m(x-x_1)}[/tex]
where m is the slope of line.
We need to know Slope m
Finding Slope m
Finding Slope m using formula: [tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]
We have [tex]x_1=5, y_1=0, x_2=-6 \ and \ y_2=-1[/tex]
Putting values and finding slope
[tex]Slope=\frac{-1-0}{-6-(5)}\\Slope=\frac{-1}{-6-5}\\Slope=\frac{-1}{-11}\\Slope=\frac{1}{11}[/tex]
So , slope m is: [tex]\mathbf{m=\frac{1}{11}}[/tex]
Using point (5,0) and slope m =1/22 the equation of point-slope form is:
[tex]y-y_1=m(x-x_1)\\y-0=\frac{1}{11} (x-5)\\y=\frac{1}{11}x-\frac{5}{11}[/tex]
So, the equation in point-slope form is: [tex]\mathbf{y=\frac{1}{11}x-\frac{5}{11} }[/tex]
The Observatory charges a $100 trip fee, plus $6.50 per student. Identify the rate of change.
Answer:
i deepends on how many students but if you have 5 kids then its 100$ plus 6.50 each kid
Step-by-step explanation:
Answer: Maybe I agree with the student, deepends on how many students but if you have 5 kids then its 100$ plus 6.50 each kid.
Step-by-step explanation:
At the grocery store, 5 pounds of ham costs $21.65. How much would 50 pounds of ham cost?
Answer:
$216.50
Step-by-step explanation:
Set up a proportion
5/21.65= 50/x
Jeremiah answers 90% of the questions on his test correctly. There are 40 questions on the test. Correct Test Questions 10% 10% 10% 10% 10% 10% 10% 10% 10% 10% StartFraction 1 over 10 EndFraction StartFraction 1 over 10 EndFraction StartFraction 1 over 10 EndFraction StartFraction 1 over 10 EndFraction StartFraction 1 over 10 EndFraction StartFraction 1 over 10 EndFraction StartFraction 1 over 10 EndFraction StartFraction 1 over 10 EndFraction StartFraction 1 over 10 EndFraction StartFraction 1 over 10 EndFraction 4 4 4 4 4 4 4 4 4 4 Jeremiah writes the expression
Answer:
(40 minus StartFraction 1 over 10 EndFraction) times 40 or D
Step-by-step explanation:
(x+1)(x+5)≤0
Solve and write solution in interval notation
Answer:
just multiply first x+1 to x+5 then add and subtract
1. Given f(x) = 3x – 4 and g(x)=–2x+7 evaluate:
(fog)(5)
Answer:
(f o g)(5) = -13
General Formulas and Concepts:
Pre-Alg
Order of Operations: BPEMDASAlgebra I
Composition of functionsStep-by-step explanation:
Step 1: Define
f(x) = 3x - 4
g(x) = -2x + 7
(f o g)(5) is f(g(5))
Step 2: Find composite function
Substitute: (f o g)(x) = 3(-2x + 7) - 4Distribute: (f o g)(x) = -6x + 21 - 4Combine like terms: (f o g)(x) = -6x + 17Step 3: Solve
Substitute: (f o g)(5) = -6(5) + 17Multiply: (f o g)(5) = -30 + 17Add: (f o g)(5) = -13A restaurant use 8 1/4 pounds of carrots to make 6 carrot cakes. Frank wants to use the same recipe. How many pounds of carrots does Frank need to make one carrot cake?
Answer:
1 3/8 pounds
Step-by-step explanation:
divide 8 1/4 by 6
Opposite sides are supplementary? True or False ?
Answer:
It's true!
Step-by-step explanation:
I hope I helped!
Answer:
False because they are congruent
Step-by-step explanation:
Does 80/100 equal -8
Answer:
No.
Step-by-step explanation:
80/100 equals 0.8
What is the factored form of the binomial expansion 81x2 + 144xy + 64y2?
(9x – 8y)2
(9x + 8y)2
(3x – 4y)2
(3x + 4y)2
Find the sum of the following nine products: 1 × (10 – 1), 2 × (10 – 2), 3 × (10 – 3), … , 9 × (10 – 9)
Answer:
9, 16, 21, 9
Step-by-step explanation:
I hope this help and it was going in order
Answer:
165
Step-by-step explanation:
We solve the first 5
1*(10-1)=9
2*(10-2)=16
3*(10-3)=21
4*(10-4)=24
5*(10-5)= 25
and notice
when you go from 6 on its getting the same number because say 3*(10-3) = 3*7 and 7*(10-7) = 7*3 and 7*3 = 3*7 so
You add the first 5 integer you solved up
9 16 21 24 25 = 95
and then you double it no extra 25
and then you get 165 = answer
Comment trouver les valeurs à mettre dans une table de valeurs selon le problème?
Answer:
How to find the values to put in a table of values according to the problem?
Step-by-step explanation:
please help find the top angle
Answer:
130 degrees
Step-by-step explanation:
So u can see those little lines on two of the sides of the triangle, it means that it's congruent also meaning the same length, and if u didn't, the angles had to be the same in order for the sides to be the same length. So the other missing angle degree is also 25 degrees. A triangle is 180 degrees, so with this info:
25 + 25 + 4x + 2 = 180
4x + 52 = 180
4x = 128
x = 32, now we have x so replace the x in the equation with 32
4(32) + 2
128 + 2
130
One day a jewelry maker sold
42
%
of the
250
pieces of jewelry at the store. How many pieces of jewelry did the jewelry maker sell that day?
Answer:
208
Step-by-step explanation:
because 250-42=208
Answer/Step-by-step explanation:
The jewelry maker sold 105 pieces of jewelry.
Which lists all of the x-ontercept of the graphed function 0,6
Answer:
The answer is C, because those are the points that cross the x-axis.
Step-by-step explanation:
Answer: C
Step-by-step explanation:
When you look at the graph, you can see that all the points are listed where they should be
What is the missing term in the trinomial expression below?
(2x+2)(7x+8)=14x2+_______+16
A. 14x
B. 30x
C. 9x
D. 5x
Answer:
14 i hope this leads you into the good
A gym is selling monthly memberships for $35 each and reusable water bottles for $9 each. The gym
needs to make $1188 by the end of the month.
Enter a linear equation that describes the problem.
An equation for the amount of money made by the gym is = $1188, where m is the number of
monthly memberships sold, and w is the number of reusable water bottles sold.
Answer:
x = gym memberships, and y = bottles of water
30x + 7y = 1050.....when x = 28
30(28) + 7y = 1050
840 + 7y = 1050
7y = 1050 - 840
7y = 210
y = 210/7
y = 30....so he would have to sell 30 water bottles
Step-by-step explanation:
Answer:
1188=35m+9w
Step-by-step explanation:
PLZZZZ HELPPPPPP THIS IS TIMEDDDD!!!! *look at picture*
A person and a building cast a shadow at the same time of day. The person is 5.8 feet tall in case the shadow of 3.2 feet. The building cast a shadow of 28 feet.
Find the height of the building.
round your answer to the nearest 10th of a foot.
Answer:
Height of the building = 50.8 ft
Step-by-step explanation:
A person and a building are casting the shadows at the same time of the day.
Triangles formed by the person and his shadow and the building and its shadow will be similar.
Therefore, corresponding sides of the similar triangles will be proportional.
[tex]\frac{x}{28}=\frac{5.8}{3.2}[/tex]
x = [tex]\frac{5.8\times 28}{3.2}[/tex]
x = 50.75
x ≈ 50.8 ft
Answer:
50.8 feet is correct
Step-by-step explanation:
test says so
A 1622 kg car has a speed of 11.3 m/s when
it hits a tree. The tree doesn't move and the
car comes to rest.
Find the change in kinetic energy of the car. .
Answer in units of J.
The change in kinetic energy of the car is -83439.06 joules.
How to find change in kinetic energy?The change in kinetic energy of an object is equal to the final kinetic energy minus the initial kinetic energy.
Since the car comes to rest after hitting the tree, its final kinetic energy is 0.
The initial kinetic energy of the car can be calculated using the formula KE = 1/2 m v², where KE is the kinetic energy, m is the mass of the object, and v is the velocity.
Plugging in the values, we get:
KE = 1/2 × 1622 kg × (11.3 m/s)²
KE = 1/2 × 1622 kg × 128.69 m²/s²
KE = 83439.06 kg m²/s²
To convert this value to joules, you can use the conversion factor 1 joule = 1 kg m²/s².
The change in kinetic energy of the car is equal to the final kinetic energy minus the initial kinetic energy, or 0 - 83439.06 kg m²/s² = -83439.06 kg m²/s².
Therefore, the car's kinetic energy dropped by -83439.06 joules.
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The amount of seed in a bird feeder decreases 10.8 ounces in 5 days. The amount of seed decreases the same amount each day. What is the change in the amount of seed in the feeder in 7 days?
Unit rate is the quantity of an amount of something at a rate of one of another quantity.
If the amount of seed in a bird feeder decreases by 10.8 ounces in 5 days.
The change in the amount of seed in the feeder in 7 days is 15.12 ounces.
What is a unit rate?It is the quantity of an amount of something at a rate of one of another quantity.
Example:
A man can run 3 miles in 60 minutes.
The time to run 1 mile is 20 minutes.
We have,
The rate at which the amount of seed decreases.
10.8 ounces = 5 days
Divide both sides by 5.
10.8/5 ounces = 1 day
Multiply 7 on both sides.
7 x 2.16 ounces = 7 days
15.12 ounces = 7 days
This means that in 7 days, the amount of seed decreases by 15.12 ounces.
Thus,
If the amount of seed in a bird feeder decreases by 10.8 ounces in 5 days.
The change in the amount of seed in the feeder in 7 days is 15.12 ounces.
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The manager of a shopping center wishes to obtain information on the shopping habits of people in the area. The area contains four neighborhoods of varying populations. The manager suspects that the shopping habits may be different in different-sized neighborhoods. Which of the following sampling designs would be most effective in gathering the information the manager requires?
A. a convenience sample from the area
B. a simple random sample from the area
C. a cluster sample using the neighborhoods as clusters
D. a stratified sample from the neighborhoods in the area
E. an online poll that invites all people from the neighborhoods in the area to participate
Answer:
defintly A
Step-by-step explanation:
because all the others are inconvenient and bad
Answer:
D
Step-by-step explanation:
Because you want to be able to see data from all neighborhoods.
The expression (x^3)(x^−17) is equivalent to xn. What is the value of n?
Answer:
-14Step-by-step explanation:
(x^3)(x^−17) =x^(3 - 17) =x^-14n = -14n = -14
(x^3)(x^−17) =
x^(3 - 17) =
x^-14
What is 35% of 80? use the if/of formula
Answer:28
Step-by-step explanation:
10%= 8
35%/10%= 3.5
8 x 3.5 = 28
Answer:
28
Step-by-step explanation:
80/x=100/35
(80/x)*x=(100/35)*x - we multiply both sides of the equation by x
80=2.85714285714*x - we divide both sides of the equation by (2.85714285714) to get x
80/2.85714285714=x
28=x
x=28
now we have:
35% of 80=28
Hurryyy !!! Lincoln Glass pays it workers overtime if they work on weekends or
holidays. Overtime is 1/2 times the usual hourly pay. If Tim was
earning $8.25 an hour, how much would he get for 1 hour of
overtime? For 8 hours of overtime?
Step-by-step explanation:
since overtime is 1/2 the usual pay which is 8.25 or 8 1/4 then its 8 1/4 (divided) by 1/2 which is equal to 4.125 or 4 1/8 so: in 1 hour the workers get paid 4 1/8 dollars and in 8 hours its 8 x 4 1/8 which is equal to 33
really hope this helps :) good luck
#Answer:
1 hour = $4.13 (rounded) . 1 hour = $4.125 (not rounded)
8 hours = $33.04 (rounded) 8 hours = $33 (not rounded)
Step-by-step explanation:
explain the benefits of each of the three forms of quadratic equations, standard form, vertex form, and factored form. What do they reveal about the graph or the quadratic?
Answer:
Summary:
Standard form allow us to quickly find the y-intercept.
Vertex form allow us to quickly locate the vertex.
And factored form allows us to quickly determine the roots/zeros.
Step-by-step explanation:
The three forms of quadratics are the standard form, vertex form, and the factored form. Each of them reveals a specific part about the quadratic.
Standard Form:
The standard form of a quadratic is:
[tex]ax^2+bx+c[/tex]
There are only two details that can be conveyed by a quadratic in standard form immediately: (1) the leading coefficient a, and (2) the y-intercept.
The leading coefficient a will tell us if the parabola curves upwards or downwards.
And the constant c will give us the y-intercept.
Vertex Form:
The vertex form of a quadratic is:
[tex]a(x-h)^2+k[/tex]
There are also two details that can be conveyed by a quadratic in vertex form: (1) the vertex, and (2) the leading coefficient.
The leading coefficient is given by a. Again, this tells us the orientation of the parabola.
And the vertex is given by (h, k).
Hence, in my opinion, vertex form is the best form of a quadratic since it immediately reveals the vertex, the most important aspect of a quadratic.
Factored Form:
The factored form of a quadratic is:
[tex]a(x-p)(x-q)[/tex]
Where p and q are the zeros/roots/solutions of the quadratic.
Again, factored form gives us two details about the quadratic: (1) the leading coefficient, and (2) the zeros.
The zeros tells us when the parabola crosses the x-axis, which can assist in graphing.
Summary:
Therefore, each form of a quadratic equation has its own benefits.
Standard form allow us to find the y-intercept.
Vertex form allow us to quickly locate the vertex.
And factored form allows us to quickly determine the roots/zeros.
Hence, depending on the question, each form can be useful in its own way.
please help, will give brainlist
(x-2)(x-1) use the distributive property
please explain as well!
Answer:
Step-by-step explanation:
(x-2)(x-1)
You need to take the first x and multiply by the other x. Then multiply the first x by the -1. Do this for the -2 also. -2 by the second x and -2 by the -1.
You get x^2-x-2x+2 then combine terms.
x^2-3x+2
Answer:
x² - 3x + 2
Step-by-step explanation:
(x-2)(x-1)
xx - x - 2x + 2
x² - 3x + 2
Deon throws a ball into the air. The height h of the ball, in meters, at time t seconds is modeled by the function h(t)=-5t^2+14t+3 When will the ball hit the ground
Answer:
The time the ball will hit the ground is 1.4s
Step-by-step explanation:
Given;
function of the ball's motion; h(t)= -5t²+ 14t + 3h
The final velocity of the ball, v , is given as;
v = dh/dt
v = -10t + 14
When the ball hits the ground, the final velocity, v = 0
v = -10t + 14
0 = -10t + 14
10t = 14
t = 14 / 10
t = 1.4s
Therefore, the time the ball will hit the ground is 1.4s
A 12 foot ladder is leaning up against a wall. If the angel made between the ladder and the ground is 80 degrees. How far up can the ladder reach the wall? Round to the nearest tenth of a foot
Answer:
11.8 feetStep-by-step explanation:
Given
Length of the ladder = 12foot
angle of elevation = 80 degrees
Required
Height of the wall (opposite side)
The set up will form a right angled triangle where
length of the ladder is the hypotenuse
height of the wall is opposite;
Using SOH, CAH, TOA trig identity
According to SOH
sin 80 = opp/hyp
sin80 = opp/12
opp = 12sin80
opp = 11.82 feet
Hence the height of the wall is 11.8feet (to the nearest tenth)
can someone help me this is algebra 1
Jada is buying a car and the cost is c + 400 = 36,000 where c is the price of the car and 270 is the registration fee but in the end 36000 was paid.
c + 400 = 36,000
1. Avery multiplies both sides of the equation by 2 while her brother Jaxon adds 2,000 to both sides of the equation. Will both moves leads to the SAME solution for the equation? Ensure math evidence is shown or included in your response when you explain your reasoning.
2. What is the solution?
Answer:
hi do You have tiktok?mm
GARDENING A gardener uses a grow light to grow vegetables indoors. If m∠1=(8x)° and m∠2=(7x−4)°, what is m∠1?
Answer: 64
supplementary angles; 180-116=64
The m∠1 is 64.
Given that,
A gardener uses a grow light to grow vegetables indoors. If m∠1=(8x)° and m∠2=(7x−4)°Based on the above information, the calculation is as follows:
= 180 - 116
= 64
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Express 6 3/4 in simplest radical form
Answer:
4√6^3
Step-by-step explanation: