In the equation below a= b= and c=
Answer:
a=4 b = -16 c=9
Step-by-step explanation:
4(x-2)^2 -7
We need to FOIL out the (x-2) ^2
( x-2)^2 = (x-2) (x-2) = x^2 -2x -2x+4 = x^2 -4x+4
Replace this in the equation
4( x^2 -4x+4) -7
Distribute
4x^2 -16x +16 -7
Combine like terms
4x^2 -16x +9
a=4 b = -16 c=9
Answer: a= 4 b=-16 c=9
Step-by-step explanation:
My teacher told me the answer
What is 35% of 80?
please help me.
Answer:
35% of 80 is 28
Step-by-step explanation:
Kevin has a checking account. This month he deposits three paychecks. Each paycheck is for $225.75. He also makes two payments for utilities. Each payment is for $75. He makes a third payment for $125. What is Kevin's new account balance?
Kelvin's new account balance is, $402.25
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
We have to given that;
Kevin has a checking account. This month he deposits three paychecks.
Here, Each paycheck is for $225.75. He also makes two payments for utilities. Each payment is for $75. He makes a third payment for $125.
Hence, Kevin's new account balance is,
⇒ 3 × $225.75 - 2 × $75 - $125
⇒ $677.25 - $150 - $125
⇒ $402.25
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I’m begging you please help I will even do another one and add more points to your account
Please help me solve these equations. Very confusing.
Step-by-step explanation:
1A (3,-2)
1B
By substitution
[tex]4x - 3y = 18 \\ 2x + y = 4 \\ y = 4 - 2x \\ 4x - 3(4 - 2x) = 18 \\ 4x - 12 + 6x = 18 \\ 10x = 30 \\ x = 3 \\ y = 4 - 2(3) \\ y = 4 - 6 = - 2[/tex]
1C
By elimination
[tex](4x - 3y = 18) -2 \times (2x + y = 4) \\( 4x - 3y = 18) - (4x + 2y = 8) \\ - 5y = 10 \\ y = - 2 \\ 4x - 3 \times ( - 2) = 18 \\ 4x + 6 = 18 \\ 4x = 12 \\ x = 3[/tex]
A town park has two biking trails. Marsh Trail is 5 and 3/10 miles long. Woodland Trail is 2 and 4/5 miles long. How much longer is Marsh Trail than Woodland Trail?
1. 3 and 5/10
2: 2 and 5/10
3: 8 and 1/10
4: 3 and 1/5
I need a answer quick!
Answer:
2. 2 and 5/10
Step-by-step explanation:
5 and 3/10 - 2 and 4/5 —> 4 and 13/10 - 2 and 8/10 = 2 and 5/10
5x+4y=16 -2x-4y=-4
Show your step by step process.
Solve the system of linear equations.
Answer:
x=1 and y= 5[tex]\frac{1}{4}[/tex]
Step-by-step explanation:
To solve this, lets take the first equation and find the x value.
Because it is ordered in standard form, we need to convert to slope-intercept form, and isolate the y.
5x+4y=16
-5x -5x
4y=-5x+16
÷4 ÷4 ÷4
y=[tex]\frac{-5}{4}[/tex]+4
or
y=-1[tex]\frac{1}{4}[/tex]+4
or
y= 5[tex]\frac{1}{4}[/tex]
Now that we have the y value, we can use this to find the x value by inserting it into either equation, since they both have y values in them. Going with the first one again, lets try it:
5x+4([tex]\frac{-5}{4}[/tex]+4)=16
5x-5+16=16
5x+11=16
-11 -11
5x=5
÷5 ÷5
x=1 and y= 5[tex]\frac{1}{4}[/tex]
I needdd helpppp I’ll give u brainlest
Answer:
1
Step-by-step explanation:
Two friends, Emma and Alice, are growing out their hair. They plan to cut it off at a certain point and donate it to a charity that makes wigs for people with cancer. Emma's hair is already 10 centimeters long and grows at a constant rate of 2 centimeters per month. Alice's hair is 30 centimeters and growing at a speed of 1 centimeter per month. If the girls get their hair cut on a certain day, they will have exactly the same length to donate. How long will their hair be?
Answer:
50 cm
Step-by-step explanation:
Let
x = number of months
Emma = 10 + 2x
Alice = 30 + x
Equate the equation of both girls
10 + 2x = 30 + x
10 - 30 = x - 2x
-20 = - x
x = 20
How long will their hair be?
Emma = 10 + 2x
= 10 + 2(20)
= 10 + 40
= 50cm
Alice = 30 + x
= 30 + 20
= 50 cm
Who can help me on my math I’m failing can y’all please help me on some questions.
It’s solving systems of equations
Answer:
7 quarters, 8 nickels
Step-by-step explanation:
So the system of equations you have is:
x + y = 15
0.25x + 0.05y = 2.15
Here's how to solve:
first, multiply both sides of the equation 0.25x + 0.05y = 2.15 by 100 to get rid of the decimal places:
25x + 5y = 215
Then, you can divide both sides by 5 to simplify it more:
5x + y = 43
Now, you have the system of equations:
5x + y = 43
x + y = 15
Now subtract the two equations:
4x = 28
divide both sides by 4
x = 7
plug x = 7 into the equation x + y = 15 to solve for y:
7 + y = 15
subtract 7 from both sides
y = 8
So you know that there are 7 quarters and 8 nickels.
Answer:
John and his 3 friends decide to order food. The cost of one box of food is $x. If each boy purchases one box of food, what is the total cost? *
HELP DUE IN 10 MINS!
Are the following triangles congruent? If so, identify the postulate and finish the congruent statement.
If they are not congruent or there is not enough information, then write not possible in each blank.
Postulate:
Congruence Statement: ΔRED ≅ Δ:
Answer:
Yes, they are congruent.
Step-by-step explanation:
Reflected triangles can be congruent
To be congruent two triangles must be the same shape and size. However one triangle can be reflected, that is, flipped over with respect to the other.
Answer:
YesStep-by-step explanation:
Two sides and the included angle are congruent:
RD≅SX∠RDE≅∠SXOED≅OXPostulate: SAS
Congruence Statement: ΔRED ≅ ΔSOX
In Antarctica, the warmest month averages a temperature of -14F, which is 57 degrees warmer than its coldest month. What is the average temperature for the coldest month?
Answer:
its 43
Step-by-step explanation:
Evaluate the following expression. 4 –1 + 2
Answer:
5
Step-by-step explanation:
A worker's salary increases by 3.5%. If the raise amounts to $2450, how much was the worker being paid before the raise?
Answer:
644
Step-by-step explanation:
Based on the cone shown, which statements are correct?
A)
B)
If the volume is 47 cm”, then the height of the cone is approximately 5 cm.
If the height is 10 cm, then the volume of the cone is approximately 74
cm?
If the height is 20 cm, then the volume of the cone is approximately 289
cm?
The equation v = {1x3)?h can be used to find the volume of the cone.
C)
D)
E)
The equation -
3V
7(3)
can be used to find the height of the cone.
Answer:
A,c,d
Step-by-step explanation:
The solution is Option A.
If the volume is 47 cm³ , then the height of the cone is approximately 5 cm and volume of cone is given by ( 1/3 ) πr²h
What is a Cone?
A cone is a three-dimensional shape in geometry that narrows smoothly from a flat base (usually circular base) to a point(which forms an axis to the center of base) called the apex or vertex.
The volume of a cone is given by the equation
Volume of Cone = ( 1/3 ) πr²h
where r is the radius of the cone
h is the height of the cone
Given data ,
Let the radius of the cone be = r
Now , the value of r = 3 cm
So , the equation will be
The volume of the cone is given by the formula ,
Volume of Cone = ( 1/3 ) πr²h
where r is the radius of the cone
h is the height of the cone
a)
If the volume is 47 cm³, then the height of the cone is approximately 5 cm
So , substitute the values in the equation , we get
Volume of Cone = 47 cm³
So ,
( 1/3 ) πr²h = 47 cm³
Radius of cone r = 3 cm
Height of cone h = 5 cm
( 1/3 ) πr²h = 47 cm³
( 1/3 ) x 3.14 x 3 x 3 x 5 = 47
3.14 x 15 = 47
47 = 47
Therefore , the solution is true
Hence , If the volume is 47 cm³, then the height of the cone is approximately 5 cm and the volume of cone is given by ( 1/3 ) πr²h
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Sorry for the bad quality picture, I just need question b. Thank you!
9514 1404 393
Answer:
P(Red) = 0.44
Step-by-step explanation:
There are 3 (mutually exclusive) ways to get red. The probability of red is the sum of the probabilities of the different ways to get there:
P(red) = (0.35)(0.6) + (0.45)(0.2) + (0.20)(0.7) = 0.21 + 0.09 + 0.14 = 0.44
The probability a player will select a red ball is 0.44.
Find the reciprocal
(Urgent!!)
Answer:
1) 2
2) [tex]\frac{3}{2}[/tex] or [tex]1\frac{1}{2}[/tex]
3) 5
4) 3
5) [tex]\frac{5}{3}[/tex] or [tex]1\frac{2}{3}[/tex]
6) [tex]\frac{4}{5}[/tex]
7) [tex]\frac{5}{2}[/tex] or [tex]2\frac{1}{2}[/tex]
8) [tex]\frac{7}{3}[/tex] or [tex]2\frac{1}{3}[/tex]
9) [tex]\frac{2}{3}[/tex]
Step-by-step explanation:
The reciprocal is the fraction flipped. To make sure it is a reciprocal though, multiply the original and the reciprocal. If it is the correct reciprocal, you will get 1 as your answer.
Hope it helps!
Write the equation of a line in slope intercept form given;
(6,-3), (0, 5)
Answer:
[tex]y=(-4/3)x+5[/tex]
Step-by-step explanation:
so you want to start by using y=mx+b
step one: find the slope (remember m is the slope in this)
m= [tex]\frac{y2-y1}{x2-x1}[/tex]
m= [tex]\frac{5+3}{0-6}[/tex]
m= [tex]\frac{8}{-6}[/tex]
m= - [tex]\frac{4}{3\\}[/tex]
step two: insert the value we found for m into the equation and take one of the given points and insert the x and y into the equation (im using (0,5)) and solve for b.
y=mx+b
5= -4/3(0)+b
5=b
step three: rewrite y=mx+b with the values we found for m and for b
[tex]y=(-4/3)x+5[/tex]
pls help will give brainliest if it lets me
Answer:
A
Step-by-step explanation:
Answer:
a
Step-by-step explanation:
A stick is five inches long how long is the stick in centimeters ( 1 in = 2.54 cm )
Answer: 12.70 cm
Step-by-step explanation:
12.70 is the correct answer
A farmhouse shelters 7 animals. Some are horses and some are ducks. Altogether there are 20 legs. How many of each animal are there?
Answer:
3 horses and 4 ducks
Step-by-step explanation:
let h be the no. of horses and d be the no. of ducks
h+d=7
d=7-h
Since horses have 4 legs and ducks have 2 legs,
4h+2d=20
4h+2(7-h)=20
4h+14-2h=20
2h=6
h=3
d=4
every answer I have typed in is wrong but what is.
2/12 simplified
Answer:
1/6
Step-by-step explanation:
hope this helps :)
1/6
divide both by 2 and you get 1/6
Express the decimal 0.43 as a fraction in its simplest form.
Answer:
Step-by-step explanation:
43/100 or 43%
Which image shows a rotation?
Answer:
there is no pic
Step-by-step explanation:
edit your question with a pic
Please help I’m being timed
Answer: D: x ∈ [0, 4)
Step-by-step explanation:
For a function:
y = f(x)
The range is the set of the outputs, the possible "y" values
The domain is the set of the inputs, the possible "x" values.
Now, we want to see the domain in which the function increases.
First, we can see that the whole domain of the graph is the interval:
[0, 9]
And a function is increasing if, reading from left to righ, the graph goes upwards.
In the image, we can see that the graph increases in the segment:
[0, 4)
Where we have an open segment because in the point x = 4 the graph stops increasing.
Then the domain where the function increases is:
D: x ∈ [0, 4)
what is 4x - 4y = -4 in y=mx+b form
Answer:
y=x+1
Step-by-step explanation:
4x-4y= -4
-4x -4x
-4y = -4x-4
divide all by -4
y= x+1
the triangles are similar. solve for x
Answer:
x= 6.25
Step-by-step explanation:
The hypotenuse of triangle JKL is taken as 96, in the similar way the hypotenuse of triangle JTU is 36. So x can be found by first finding the value of JU, using the Pythagoras theorem.
[tex]a^{2} = b^{2} + c^{2}[/tex]
In this shape the formula will be:
[tex]TU^{2} = JT^{2} + JU^{2}[/tex]
Substitute the given values in the shape into the formula.
TU = 34
JT = 27
TU = Lets take 'y'
[tex]34^{2} = 27^{2} + y^{2}[/tex]
1156 = 729 + [tex]y^{2}[/tex]
[tex]y^{2}[/tex] = 1156 - 729
[tex]y^{2}[/tex] = 427
y = [tex]\sqrt{427}[/tex] = 20.7 ( rounded to 1 decimal place) = 21 (rounded to whole number).
So the original value of JU is '21', but we have to find the value of 'x'. So the expression '-4 + 4x' is equal to 21. This can be written as:
-4 + 4x = 21
4x = 21 + 4
4x = 25
∴ x = [tex]\frac{25}{4}[/tex] = 6.25
x= 6.25
Write an equation of the line that passes through the given points
6) (0, 2), (2, 5) 7) (0, -3), (2, -3)
1!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
24 kilograms turned into pounds
Answer:
52.91 pounds
Step-by-step explanation:
You go to the store and buy 6 pieces of candy for $7.80.
a) Determine the constant of proportionality and use it to write an equation to find the cost 'y for buying any
number of candies, "X'.
b) What operation did you use to find or determine the unit price?
c) Explain whether you believe this process will work for all scenarios regarding the unit rate?
d) What is the relationship between the constant of proportionality and the Unit Rate?
Students, draw anywhere on this slide!