Answer:
y=2(x+3.5)^2+0.50
Step-by-step explanation:
we have
y=(x+3)^2+(x+4)^2
y=x^2+6x+9+x^2+8x+16
y=2x+14x+25
rewrite now in vertex form
Group terms that contain the same variable, and move the constant to the opposite side of the equation
y-25=2x^2+14x
Factor the leading coefficient
y-25=2(x^2+7x)
Complete the square. Remember to balance the equation by adding the same constants to each side
y-25+24.50=2(x^2+7x+3.5^2)
y-0.50-2(x^2+7x+12.25)
Rewrite as perfect squares
y-0.50=2(x+3.5)^2
y=2(x+3.5)^2+0.50
the vertex is the point (-3.5,0.50)
therefore the answer is
y=2(x+3.5)^2+0.50
Raja claims that to add two fractions with unlike denominators, first you need to determine the smallest number that is a multiple of both denominators. Then change the denominators in both fractions and keep the numerators the same.
Answer:
Incorrect
Step-by-step explanation:
This is incorrect. In order to add two fractions that have unlike denominators, it is true that you first need to find a common denominator. When you change a fractions denominator you must also change it's numerator in proportion to the change in the denominator. For example, if you change the denominator in the fraction [tex]\frac{1}{2}[/tex] into a 4 then you are multiplying the denominator by 2, therefore you will also need to multiply the numerator by 2 which would give you a new fraction of [tex]\frac{2}{4}[/tex]
Please answer ASP
1. Fill in the blank. When you clear out the fractions in the equation you ______.
2. Trey was solving the equation below in class. The teacher has already told Trey his answer is incorrect but he can’t find his mistake. What mistakes has Trey made that are preventing him from getting a correct answer? What is the correct answer?
9514 1404 393
Answer:
1. multiply both sides by 3
2. (a) chose to multiply by 2/3 instead of 3/2; (b) did the multiplications incorrectly, both for the fraction and the integer; (c) x = 9
Step-by-step explanation:
1. If you want to "clear fractions," you multiply by the denominator of the fraction.
3(2/3)x = 3(6)
2x = 18
__
2. The coefficient of x is 2/3. If you want it to be 1, you need to multiply by the multiplicative inverse of 2/3, which is 3/2. Doing that gives ...
(3/2)(2/3)x = (3/2)6
Then simplifying gives ...
x = 18/2 = 9
__
Trey's mistakes were: a) choosing the wrong multiplier; b) carrying out the multiplication incorrectly. (2/3)(2/3) = 4/9, and 6(2/3) = 4. Had Trey done the multiplications correctly, he would have seen that he needed a different multiplier to get to the answer.
The length of a rectangle is 5 less than 3 times its width. The perimeter is
78. Find the LENGTH.*
Answer:
The length is 28 and the width is 11
Step-by-step explanation:
To solve this problem, we can make the width as x.
Since the length is 5 less than 3 times the width, it's going to be 3x - 5
So now we've got the length and width, just need to find the perimeter, which is all the sides added up together. They already gave us the perimeter, so we just have to solve the equation:
2(3x - 5) + 2x = 78
6x - 10 + 2x = 78
8x - 10 = 78
8x = 88
x = 11
x = 11, but remember, x is the width, not the length. Since we already found what x is, we just have to plug it into the equation of:
3x - 5
3 × 11 - 5
33 - 5 = 28
Answer: Length = 28 (don't forget to add the unit if there is one)
PLS HELP ME 5x+3=7x-1
Answer:
Hello! the answer is X=2
Step-by-step explanation:
Answer:
The answer is x=2
Step-by-step explanation:
Solve for g.
g - 15 = 4
Answer:
11
Step-by-step explanation:
Answer:
-11
Step-by-step explanation:
What is the y-intercept of the equation?
slope = 5, goes through the point (2, 7)
48 is what percentage of 24?
Answer: 50%
Step-by-step explanation:
24 divided by 48 is 0.50 so 50%
Answer:
200%
Step-by-step explanation:
2=200% and 24 × 2 = 48
Need this it is due tomorrow please.
Answer:
a) parallel lines : CE and BF
b)perpendicular lines : DE and EF
c) is FE parallel to CA : no
Step-by-step explanation:
hope this helps
Answer:
a. CE║BFb.DA and BFc. No, because Parallel lines are lines in a plane that are always the same distance apart. Parallel lines never intersect. Perpendicular lines are lines that intersect at a right (90 degrees) angle.Step-by-step explanation:
Solve the following equation below.
Answer:
x=3 C
Step-by-step explanation:
5x-13=-3x+11
8x-13=11
8x=24
x=3
Answer:
the answer is x=3
Step-by-step explanation:
i hope this help you
solve for x
10x - 72
3x - 4
Answer:
9.71 Only way I could think of to solve it
Step-by-step explanation:
10x-72=3x-4
7x=68
x=9.71
PLEASE HELP!
I NEED BOTH PARTS!
Answer:
a) Yes agree
and b) (I'm not too sure about this one but I think..) By CPCT that is Corresponding parts of congruent triangles are equal/congruent theorem.
Step-by-step explanation:
I'll use this " [ " symbol for angle.
a) yes agreed ;
AB = CB (B is the midpoint of AC)
[ ABD = [ CBD = 90°
BD = BD (common side)
--> therefore by SAS criteria triangle ABD is congruent to triangle CBD.
and by CPCT .... AD = CD .
b) AD = CD (proven by CPCT)
...answer for b you're likely suppose to write it that way. so yeah hope this helps.
Two polygons that can be mistaken as similar
Answer:
polygons that have the same shape, but not the same size .
Step-by-step explanation:
PLZ help need this asap PLZ give an explanation. WILL GIVE BRAINLIEST
Answer: Its the third one from up. Second from bottom.
Step-by-step explanation: I looked at all of the other ones and they did not make sense. Let me know if I got wrong. God Bless!
Answer:
x = 73 is the number of hours she worked at her job last month.
Step-by-step explanation:
12 is the hourly wage that she earn at her job.
340 is the bonus she received.
1216 is the total she earn from her job.
Can someone one help me
Answer:
28
Step-by-step explanation:
what you do is add 39 plus 74
that answer will give you 113 so then you subtract 180 from that
then you get 67, then what you do is subtract 39 and you would get 28
x = 28
Liliana has $5.60 to spend on tape. The tap cost $0.07 per foot. How many feet of tape can she buy? Which equation matches the scenario explained above?
Answer:
she can buy 70 ft tape
Step-by-step explanation:
5.6 ÷ 0.07
Use the order of operations to evaluate this expression: 7 + (5 – 9)2 + 3(16 ÷ 8).
Answer:
= 7 + (5 – 9)2 + 3(16 ÷ 8)
= 7 + (-4)2 + 3(2)
= 7 + (-8) + 6
= -1 + 6
= 5
Step-by-step explanation:
Remember to use PEMDAS when solving.
Lamar drinks 8 ounces of water with breakfast, 6 ounces of water with his vitamins, 16 ounces of water with his lunch, 16 ounces of water with his dinner, and 32 ounces of water from a bottle he carries throughout the day. Write and evaluate a numerical expression for the amount of water in ounces that he drinks in a week.
Given:
Lamar drinks water with,
Breakfast = 8 ounces
Vitamins = 6 ounces
Lunch = 16 ounces
Dinner = 16 ounces
Bottle = 32 ounces
To find:
The a numerical expression for the amount of water in ounces that he drinks in a week.
Solution:
One day consumption of water by Lamar is
[tex]8+6+16+16+32=78[/tex]
We know that,
1 week = 7 days
One day consumption of water = 78 ounces
1 week (7 days) consumption of water = 7× One day consumption of water
= 7×(8+6+16+16+32) ounces
= 7×78 ounces
= 546 ounces
Therefore, the required numerical expression for the amount of water in ounces that he drinks in a week is 7×(8+6+16+16+32) ounces and the value is 546 ounces.
yooooooooooooooooooooooooooooooooooooooooooooooooooooo
Answer:
yooooooooooooooooooooooooooooo
Evaluate 3x – 4 when x=7. The value of the expression is
Answer:
17
Step-by-step explanation:
Answer:
Let's solve your equation step-by-step.
3x+2=14
Step 1: Subtract 2 from both sides.
3x+2−2=14−2
3x=12
Step 2: Divide both sides by 3.
3x /3 = 12/3
x=4
Please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!
Answer:
8,10,20 pls mark me as brainliest
Answer:
A triangle can not have a side that is longer than the sum of the other two sides. In this case, the second answer does not fit a triangle, as 20 > 8 + 10.
Step-by-step explanation:
Find the value of -7 + 3(-12) - (-3)..
0-40
05
0-16
0-19
Answer: 40
Step-by-step explanation: -7 + 3 (-12) -(3)
-7 - 36 + 3
-40
what is the slope of a line parallel to slope 2 and Perpendicular to slope 2?
Answer:
it would be right next to the other line
Step-by-step explanation:
the set of non integers
Step-by-step explanation:
A non negative integer is an integer that that is either positive or zero. It's the union of the natural numbers and the number zero
In the picture below A II b and m<23
angle measures
112°. Find the remaining
Answer:
Step-by-step explanation: dude i think we in the same class for math
There are 914.4 millimeters in a yard . There are 3 feet in a yard . How many millimeters are in a foot !
Answer:
304.8 millimeters
Step-by-step explanation:
Answer:
0.003
Step-by-step explanation:
I need help with this, i know the answer isnt 20 because the teacher told me it wasnt
Answer:
d: 68
Step-by-step explanation:
Answer:
D.68
Step-by-step explanation:
i figured it out to lol
20 points
When you find a point on a graph that you think is the intersection, the best way to double check your answer is to:
substitute in the x value to see if both of the y values of both of the equations match the one you approximated from the graph.
substitute in the x value to see if one of the y values of one of the equations matches the one you approximated from the graph.
substitute in the y value to see if one of the x values of one of the equations matches the one you approximated from the graph.
substitute in the x value to see if both of the x values of both of the equations match the one you approximated from the graph.
Answer: Substitute in the x value to see if both of the y values of both of the equations match the one you approximated from the graph.
Step-by-step explanation:
I guess that we are working with systems of equations like:
y = f(x)
y = g(x)
Where an intersection is a solution that works for both equations, which means that the graphs will intersect each other in that point.
This means that for a given value x = x0, we must have:
f(x0) = g(x0).
Now, when you find a point that you think that is an intersection, you should substitute the x value in both functions, and see if the y-values coincide.
This will be equivalent to look if f(x) = g(x) for that particular value.
then the correct option is:
substitute in the x value to see if both of the y values of both of the equations match the one you approximated from the graph.
7. The owner of an ice cream stand needs to order wafle cones and sugar cones. There is
room to store 10 boxes of cones. Each box of sugar cones costs $100, and each box of
waffle cones costs $150. He has $1250 budgeted for the purchase of cones.
a. What variables will you use?
s = sugar cones
w = waffle cones
A store is instructed by corporate headquarters to put a markup of 25% on all items. An item costing 8$ is displayed by the store manager at a selling price of 2$. As an employee, you notice that this selling price is incorrect. Find the correct selling price. What was the manager's likely error?
Answer:
the correct selling price is $10
And, the error is that the manager put the markup percentage as a selling price instead of adding up the markup to the cost price
Step-by-step explanation:
The computation is shown below:
Given that
Markup = 25%
Cost of an item = $8
Selling price of an item = $2
Based on the above information
The amount of markup would be
= 25% × 8%
= $2
Now amount after markup is
= $2 + $8
= $10
Hence, the correct selling price is $10
And, the error is that the manager put the markup percentage as a selling price instead of adding up the markup to the cost price
Answer:
part A:The correct selling price is $10
Part B:And, the error is that the manager put the markup percentage as a selling price instead of adding up the markup to the cost price
Step-by-step explanation:
Step-by-step explanation: