Answer:
[tex]f(x)=(x-1)^{2}+6[/tex]
Step-by-step explanation:
First, subtract 7 from each side.
[tex]-7=x^{2} -2x[/tex]
Now, add in a blank on each side so you can write in your new term that will complete the square. We'll call that term 's' for now.
[tex]-7+s=x^{2} -2x+ s[/tex]
The next step is to take half of the b term, and then square that. In this case, half of '[tex]-2[/tex]' is [tex]-1[/tex]. If we square that we get [tex]1[/tex]. So that is the term we will put in for [tex]s[/tex].
[tex]-7+1=x^{2} -2x+1[/tex]
Simplify:
[tex]-6=x^{2} -2x+1[/tex]
If you look at the right side of the equation, we can factor. That's because we completed the square. We can use the 'guess and check' method to factor. Remember, this is where we use 2 sets of parentheses and fill in the blanks.
[tex]-6=(x-1)(x-1)[/tex]
If we were to FOIL the right side we would end up with [tex]x^{2} -2x+1[/tex].
Since we have 2 '(x-1)' terms next to each other, we can simplify to:
[tex]-6=(x-1)^{2}[/tex]
Now, all we need to do is add 6 to both sides and we have the vertex form.
[tex]f(x)=(x-1)^{2}+6[/tex]
I hope this helps!
Here are the percents of the popular
vote won by each successful candidate
in 15 presidential elections.
49.6, 55.1, 57.4, 49.7, 61.1, 43.4,
60.7, 50.1, 50.7, 58.8, 53.9, 43.2,
49.2, 47.9, 51.2
What is the median?
Ok, you should first order every number in the regular order (1,2,3,4,5,6,7,and so on) or (1.2,1.3,2.4,5.9).
43.2, 43.4, 47.9, 49.2, 49.6, 49.7, 50.1, 50.7, 51.2, 53.9, 55.1, 57.4, 58.8, 60.7, 61.1.
Median means the exact middle and here there are total of 15 different numbers so we know this is going to be easier if this was even. 50.7 is the median because it is in the middle and there are an even number of numbers on each side to it, 7.
Answer: just to make it clear for people
it is 50.7
No texto Nascimento do Queijo,qual das crianças criou a teoria mais distante da realidade?
Answer:
ejre' fe trerxto fno
Step-by-step explanation:
Write an equation in slope intercept form that goes through (-1,6) and (3,-2)
First, we need to use slope formula* to find the slope.
[tex]m = \frac{-2 - 6}{3 - (-1)} = \frac{-8}{4} = -2[/tex]
Second, we use the slope we found and ONE of the 2 points listed and plug it into slope-intercept form** to solve for b.
Here is what we have so far:
[tex]m = -2[/tex]I'm going to use this point:
[tex]x = 3[/tex][tex]y = -2[/tex]Here is how to find b:
[tex]-2 = -2(3) + b\\\\-2 = -6 + b\\\\4 = b[/tex]
Finally, we put all of it together and we have our equation.
[tex]y = -2x + b[/tex]
*Slope formula: m = y₂ - y₁/x₂ - x₁
**Slope-intercept form: y = mx + b
Question Progress
Homework Progress
.
fou
a) Write down the coordinates
of point A
4
3
21
A
b) Plot the point B (3. -2) on
the grid
1
4 3 -2 -1 0
1
2 3 4
c) Point C has the
same x-coordinate as point A
same y-coordinate as point B
2
3
Write down the coordinates
of point
Answer:
Please check the attached figure!
Step-by-step explanation:
Part a)
Point A is located at the x-coordinate x=-4 and y-coordinate y=1.
Hence, the coordinates of point A = (-4, 1)
Part b)
Point B(3, -2) has been plotted and is shown in the attached figure.
It is clear from the attached diagram that point B is located at the x-coordinate x=3 and y-coordinate y=-2. Hence, the coordinates of point B = (3, -2)
Part C)
Point C has the same x-coordinate as point A i.e. x=-4 and the same y-coordinate as point B i.e. y=-2.
Hence, the coordinates of point C = (-4, -2). Point C is also plotted as shown in the diagram.
HELP WILL GIVE BRAINLIEST!!!!!!
Lin's father spent $20 on ice cream for the family. He had to pay a 7% sales tax. What was the total cost of the ice cream? $
*Hint: be sure to include 2 decimal places to show the cents*
Answer:
6%→0.06
Now, we need to multiply the pre-tax cost of this item by this value in order to calculate the sales tax cost.
\textup{Sales tax}=0.06\times\$2.35
\textup{Sales tax}=\$0.141
Round to two decimal places since our total is in dollars and cents.
\textup{Sales tax}=\$0.14
Last, add this value to the pre-tax value of the item to find the total cost.
\textup{Total cost}=\textup{Pre-tax value}+\textup{Sales tax}
\textup{Total cost}=\$2.35+\$0.14
\textup{Total cost}=\$2.49
Step-by-step explanation:
Which of the following angles are supplementary to _1?
Plsss Help
i am in doubt in this task... Thanks
Answer:
the answer is a
Step-by-step explanation:
What is the value of x in the equation 1.8-3.7x=4.2x+0.3
Answer:
15/79
Step-by-step explanation:
or in Alternate form is X= 0.1898734177215
The Hayes family is selecting a furniture set. A furniture set has a bed, a desk and a dresser. There are 3 beds, 3 desks, and 1 dresser to select from. How many different furniture sets could they select?
Answer:
3x3x1 which is 9
Step-by-step explanation:
9 furniture sets.
Hope this helps ;D
Brad has $10 to spend at Ruby's. He orders 1/2 pound of sausage and 11/4 pound of chicken. How much money will Brad have left after he pays for his order?
Answer:
Step-by-step explanation:
Brad will have $5.24 left after he pays for his order.
What is unit rate?A unit rate means a rate for one of something. We write this as a ratio with a denominator of one. For example, if you ran 70 yards in 10 seconds, you ran on average 7 yards in 1 second. Both of the ratios, 70 yards in 10 seconds and 7 yards in 1 second, are rates, but the 7 yards in 1 second is a unit rate.
Given that, Brad has $10 to spend at Ruby's. He orders 1/2 pound of sausage and 11/4 pound of chicken.
Price of sausage per pound (unit rate) = $3.25
Therefore, price of 1/2 pounds of sausages = $3.25×0.25 = $1.63
Price of chicken per pound (unit rate) = $2.50
Therefore, price of 1 1/4 pounds of sausages = $2.50 × 1.25 = $3.13
Total the amount he spent at Ruby's = $1.63+$3.13 = $4.76
Amount left after payment = $10-$4.76
= $5.24
Hence, Brad will have $5.24 left after he pays for his order.
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pls help me get this right..
Answer:
C)
Step-by-step explanation:
Subtract the 3x to the other side then divide by 2 which gives you -3/2 not -2/3
i will give brainliest if correct answer
4w-24≤-12
4w≤12
w≤3
the answer i got is fifth first
what is vertibrates
It is basically an animal which has a backbone that protects the spinal cord.
Mindy has $10.75 to buy school supplies. She spends $3.96 at one store for a package of glue sticks, but she still needs to buy 3 pens and a notebook. At the next store, she finds pens for $1.39 each. What is the most she can spend on a notebook if she buys the 3 pens
Answer:
2.62$
Step-by-step explanation:
Answer:
If she buys the pens she can use 2.62 dollars on a notebook
Step-by-step explanation:
10.75-3.96=6.43
1.39x3=4.17
6.43-4.17
2.62
Madison invested $3,300 in an account paying an interest rate of 6.7% compounded daily. Assuming no deposits or withdrawals are made, how much money, to the nearest ten dollars, would be in the account after 5 years?
Answer:4610
Step-by-step explanation:
$4564 is the amount in account after 5 years.
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
Given that Madison invested $3,300 in an account paying an interest rate of 6.7% compounded daily.
We need to assume no deposits or withdrawals are made, then we need to find money in account after 5 years.
Madison invested = $ 3300
Rate of interest = 6.7 %
Time = 5 years
[tex]A=P(1+\frac{r}{100} )^{t}[/tex]
P is the principle amount
t is the time
r is the rate of interest
[tex]A=3300(1+\frac{6.7}{100} )^{5}[/tex]
A=3300(1+0.067)⁵
A=3300(1.067)⁵
A=3300(1.383)
A=4563.9
A=4564
Hence, $4564 is the amount in account after 5 years.
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One hundred ninety-two students were surveyed about their favorite kind of TV programs. The results are shown in the table. Which kind of program did 25% of the students report as their favorite?
Answer:
Music was 25%
Step-by-step explanation:
An online music site charges 15 POINTS N BRAINLIEST 14.a one-time
membership fee of $20, plus $0.80 for every
song that is downloaded.
a) Write an equation for the total cost,
Cdollars, for downloading n songs.
b) Jacques downloaded 109 songs. What was
the total cost?
c) Michelle paid a total cost of $120. How many
songs did she download?
Answer:a) 20+0.8c B) 0.8x109 C)120/0.8
Step-by-step explanation:
Plz brainliest I am almost an expert
1. Multiply using distributive property.
(4x - 2)(x-3)
2. Multiply using the FOIL method.
(x - 5)(3x + 2)
Please explain it in an easy way.
Answer:
The distributive property tells us how to solve expressions in the form of a(b + c). The distributive property is sometimes called the distributive law of multiplication and division.
Step-by-step explanation:
Answer:
2. [tex]3x^2-13x-10[/tex]
Step-by-step explanation:
Expand (x−5)(3x+2) using the FOIL Method.
Step 2: Apply the distributive property.
[tex]x(3x+2)-5(3x+2)[/tex]
Step 3: Apply the distributive property.
[tex]x(3x)+x(2)-5(3x+2)[/tex]
Step 4: Apply the distributive property.
[tex]x(3x)+x(2)-5(3x)-5(2)[/tex]
Simplify and combine like terms.
Step 5: Simplify each term.
[tex]3x^2+2x-15x-10[/tex]
Step 6: Subtract 15x from 2x.
[tex]3x^2-13x-10[/tex]
solve the linear equation
Y+5X-2=0...(1)
X^+y-8=0..(2)
................................................................
Answer:
thanks bruceee
Step-by-step explanation:
can you solve 1 2/3 x 1 1/4
Answer:
25/12 or 2 1/12
Step-by-step explanation:
calculator
Help me please..............
Step-by-step explanation:
x= 117........................
Answer:
117º
Step-by-step explanation:
A triangle's interior angles add up to 180º and the angle of a straight line is 180º.
We can write, 38º+(180º-101º)+(180º-xº)=180ºSubtract, 38º+79º+(180º-xº)=180ºAdd, 117º+(180º-xº)=180ºSubtract, 180º-xº=63ºSubtract, -xº=-117ºConvert to positive, xº=117ºWhat is the solution of log (2t+4) = log (14+3t)
A baby elephant that is 4 ft tall casts a
shadow that is 10 ft long. Find the length
of the shadow that a 6 ft woman casts.
Answer:
15 ft
Step-by-step explanation:
10/4
=2.5
6*2.5
=15 ft
PLS GIVE BRAINLIEST
What is the x-intercept of the line graphed on the grid?
Answer:
2
Step-by-step explanation:
If you use rise over run, you should get to. From one point to the other, the rise is 2 and the run to the right is 1. So, you do 2 divided by 1, which is 2. So, the slope would be 2.
16
78 x 30
V3 x 18 x 39
24 x 26
17
1
1
18 V3
13 + 1
3
27
Answer:
do you just add and multiply all of them?
Step-by-step explanation:
a line passes through 8,-8 and has a slope of -5/4, write an equation in slope intercept form for this line
Answer:
y = -1.25x +2
Step-by-step explanation:
Using Point-Slope formula we can create an equations.
y - y1 = m(x - x1)
substitute:
y + 8 =-5/4(x - 8)
-5/4 = -1.25
y + 8 = -1.25 ( x - 8)
Distribute:
y + 8 = -1.25x + 10
subtract 8 from both sides:
y = 1.25x + 2
Hope this helps!
Find the slope of the line through the 2 points given
below. Enter your answer as an integer, a simplified
fraction, or type "undefined" if there is no slope.
(-3,36) and (3,0)
Slope =
4 number lines going from negative 2 to positive 2. A has an open circle at negative one-half, everything to the right is shaded. B has a closed circle at negative one-half, everything to the right is shaded. C has an open circle at negative one-half, everything to the left is shaded. D has a closed circle at negative one-half. Everything to the left is shaded.
Which graph represents the inequality?
y greater-than negative one-half
A
B
C
D
Answer:
ITS A PLEASE GIVE ME BRAINLIEST
Step-by-step explanation:
Answer:
its A give the other person brainliest please
Step-by-step explanation:
What is the least common multiple of the numbers 5, 25, and 15? OA. 25 OB. 50 O C. 75 OD. 100 O E. 125
Use quadratic formula to solve 1-6x^2-x
Answer:
(3x-1)(2x+1)
Step-by-step explanation:
1-6x^2-x=0
-6x^2-x+1=0
6x^2+x-1=0
6x^2+(3-2)x-1=0
6x^2+3x-2x-1=0
3x(2x+1)-1(2x+1)=0
(3x-1)(2x+1)=0
So the factor is (3x-1)(2x+1)