Answer:
y = (x - 4)² - 6Step-by-step explanation:
An equation of a quadratic function in a vertex form is y=a(x-h)²+k, where vertex is (h, k)
vertex (4, -6) means h = 4 and k = - 6
So:
y = 1(x - 4)² + (-6)
y = (x - 4)² - 6
please help, and it’s ok if you don’t understand it or get it wrong, please don’t feel guilty ^-^
Answer:
i think its 4.5
Step-by-step explanation:
By considering the discriminant, find the
value of the constant p such that the
following equation has equal/repeated
solutions.
4x2 + 8x + p = 0
Answer:
p = 4Step-by-step explanation:
A quadratic equation has equal/repeated solutions when a discriminant (Δ) is equal 0.
The formula of a discriminant (Δ) of equation
[tex]ax^2+bx+c=0\\\\\Delta=b^2-4ac[/tex]
We have the equation
[tex]4x^2+8x+p=0\to a=4;\ b=8;\ c=p[/tex]
substitute
[tex]\Delta=8^2-4\cdot4\cdot p=64-16p\\\\\Delta=0\iff64-16p=0[/tex]
subtract 64 from both sides
[tex]-16p=-64[/tex]
divide both sides by (-16)
[tex]\dfrac{-16p}{-16}=\dfrac{-64}{-16}\\\\p=4[/tex]
What is the length of line segment KJ?
O 2/3 units
O 32 units
M 3 v
O 3/3 units
O 375 units
What is the SLOPE-INTERCEPT form of the line that passes through the
points (-4,-1) and (3, 2.5). Make sure to choose (X1, Y1) and (x2, Y2)
carefully. Be CAREFUL with your calculations.
The heights of six students Aaron, Betty, Carrie, Dan, Evelyn and Frank are 58 inches, 60 inches, 63 inches, 64 inches, 68 inches and 69 inches. Carrie is 4 inches shorter than Aaron. The girls (Betty, Carrie and Evelyn) are the three shortest students. Dan is one inch shorter than Frank. Betty is the shortest student. What is the sum of Frank’s height and Evelyn’s height, in inches?
Answer: 132
Step-by-step explanation: I think it is 132 because C + 4 = A, D + 1 = F, and B is shortest. so the order is FDAECB with Frank at 69 and Evelyn at 63. Carrie has to be at 60 because Aaron, who is 64, is 4 inches taller than Carrie. So, when you add 69 and 63 together, you get 132. Also just to check, Dan, who is 68, is one inch shorter than Frank, who is the tallest. This is only true because the girls are the youngest.
Answer:
132
Step-by-step explanation:
I did it on a Mathcounts competition
Jenna's brother borrowed $200 from her to buy a tablet. She will charge him 3% simple interest. Her brother says he will pay her back in 6 months. What is the total amount he will pay back?
Answer:
personally I believe its 6..
Step-by-step explanation:
10% of 200 is 20. if 10% is 20 then each part would equal 2. 2×3 is equal to 6
Answer:
$203
Step-by-step explanation:
To find the cost he pays back you need to mulitply 200 x 3% x 6 months.
Because you can't multiply with different units, you convert them to the same unit. (Numeric form)
To convert, we divide 3% by 100 and get 0.03
6 MONTHs is equal to 1/2 of a year which is also 0.5.
Now that all of our numbers are using the same units, we can multiply.
200(0.03)(0.5)
200 x 0.03 is 6
6 x 0.5 is 3.
We need to add the total amount her brother pays her back and the interest.
He pays her $200 for the Tablet and gives her $3 for the interest.
200+3=203.
Solve: −3(k − 2) = −2
Answer:8/3
Step-by-step explanation:divide both sides by -3 2 negative make a positive add 2 to both sides simplify 2/3 +2 to 8/3
Answer:
The answer is
[tex] \huge \boxed{k = \frac{8}{3} } \\ [/tex]
Step-by-step explanation:
[tex]−3(k − 2) = −2 [/tex]
Expand the terms in the bracket
That's
[tex] - 3k + 6 = - 2[/tex]
Subtract 6 from both sides of the equation
We have
[tex] - 3k + 6 - 6 = - 2 - 6 \\ - 3k = - 8[/tex]
Divide both sides by - 3
[tex] \frac{ - 3k}{ - 3} = \frac{ - 8}{ - 3} \\ [/tex]
We have the final answer as
[tex]k = \frac{8}{3} \\ [/tex]
Hope this helps you
2. Consider the following points.
A(-2,20) and P (10,-13)
AP undergoes the translation Tox(x,y), such that A (-28, 37) and P'(-16,4).
Part A: Complete the following algebraic description.
b
(x,y) → (x +
x= x
Part B: Which of the following statements is true?
A AP and A'P' have different locations.
B AP and A'P' have different shapes.
CAP and A'P' have different sizes.
D AP and A'P' have different directions.
Answer:
Transformation: (x,y) → (x - 26, y + 17) or
[tex]T _{-26,17}[/tex](x,y) [translation]
A, since the transformation of a translation simply changes the location of a certain figure because all the points of the figure are moved the exact same way. This is because a translation is a rigid transformation.
Explanation:
Let the preimage of points A and P be A(x1,y1), and P(x2,y2). And the image of points A and P be A'(x3,y3) and P'(x4,y4).
Given points A and P are A(-2,20) and (10,-13). And points A' and P' are A'(-28,37), and P'(-16,4). The translation is found by calculating the difference between these points for the figure. (x,y) → (( x + ((x3-x1) + (x4-x2))/2), (y + ((y3-y1) + (y4-y2))/2 )). If this does not match all the points in the transformation of the figure, than it is not a rigid transformation, and so it cannot be a translation.
The simple formula for the uniform translation of a figure is : (x,y) → ((x + (x2-x1), (y + (y2-y1)) . Where x2, and y2 are part of the image, while x1, and y1 are part of the preimage. This will get you from the preimage(1) to image(2) following a translation.
Given all the points, the more complicated work is shown here:
(x,y) → ((x + ((-28--2) + (-16-10))/2), (y + ((37-20) + (4--13))/2)) = (x,y) → ((x + (-26 + -26)/2),(y + (17 + 17)/2) = (x,y) → ((x - 26),(y + 17)) = (x,y) → (x - 26, y + 17).
When writing a transformation like a translation in a function, it will look like this: [tex]T _{∆x,∆y}[/tex](x,y). ∆x,∆y are just placeholders for the change in these variables that get you from the preimage to image.
Solve the following equation for p. What POSITIVE value of p? 10 - 43 - |7p + 12|
Answer:
Subtract
43
from
10
.
−
33
−
|
7
p
+
12
|
Step-by-step explanation:
The positive value of p from the equation is; p = 3
This is about absolute values.
We are given the equation;10 = 43 - |7p + 12|
Let us simplify by subtracting 43 from both sides to leave the right hand side as an absolute value form.10 - 43 = - |7p + 12|
-33 = - |7p + 12|
divide both sides by -1 to get;
33 = |7p + 12|
Heyy! Can y’all plz help me on this I would really appreciate it :)
10x - 7 = 7x - 1
Answer:
x = 2
Step-by-step explanation:
10x - 7 = 7x - 1
10x = 7x + 6
3x = 6
x = 2
Answer:
x = 2
Step-by-step explanation:
Add seven to both sides to move it over to the right, then subtract 7x from both sides to move that over to the left.
You should be left with 10x - 7x = 7 - 1.
10x - 7x = 3x
7 - 1 = 6
3x = 6
Divide both sides by three to get your answer of x = 2.
Please help me this question is hard
Answer:
I cant see
Step-by-step explanation:
Answer:
dont have an answer yet...question too small to see...
Step-by-step explanation:
20b-16
Please help I will mark you
5y-30=-5y+30 and also can you show the steps :}
5y-30=-5y+30
add 30 to both sides
5y = -5y+60
add 5y to both sides
10y = 60
divide both sides by 10
y = 6
hope this helps!
EVALUATE
9(6−2.4)−10
Answer:
The answer is 22.4.
Answer:
22.4
Step-by-step explanation:
you multiply 6 and -2.4 by 9
that gives you 54 and -21.6
then you add -10 to -21.6 giving you -31.6
lastly subtract -31.6 out of 54
which gives you 22.4
4x - 1 = 2(2x + 2)
what is the answer?
Answer:
x = undefined
Step-by-step explanation:
Expand brackets
4x - 1 = 4x + 4
Rearrange and make like terms next to each other
4x - 4x = 4 + 1
0x = 5
x = 5/0
when 0 is the denominator the answer is undefined
Answer: from what i calculated there is no solution
Step-by-step explanation:
A student solved the equation below using the steps shown, rounding to two decimal places if necessary.
which step contains the first mistake ?
A. step 2
B. step 1
C. step 3
D. step 4
Answer:
Step 1
Step-by-step explanation:
Li wants to add these items to her suitcase: a hairdryer (1.25 lb), a hand-held video game (0.6 lb), an extra video game (0.25 lb), and a music player (0.4 lb). Using the inequality x Less than or equal to 2.25, can she add all these items to the suitcase? If not, what could be left out to be closest to the maximum weight allowed? Explain.
Answer:
She will leave an extra video game which weighs 0.25lb
Step-by-step explanation:
Li wants to add these items to her suitcase: a hairdryer (1.25 lb), a hand-held video game (0.6 lb), an extra video game (0.25 lb), and a music player (0.4 lb). Using the inequality x ≤ 2.25, can she add all these items to the suitcase? If not, what could be left out to be closest to the maximum weight allowed?
Solution:
Weight of the items
hairdryer = 1.25 lb
hand-held video game = 0.6 lb
an extra video game = 0.25 lb music player = 0.4 lb
The total weight of the items
= 1.25lb + 0.25lb + 0.6lb + 0.4lb
= 2.5 lb.
Total weight - required weight
= 2.5lb - 2.25lb
= 0.25lb
2.5lb is 0.25lb greater than 2.25lb
Therefore, not all items can be added.
She has to leave out an item equivalent to 0.25lb
Item equivalent to 0.25lb is the extra video game
If Li leaves out the extra game, which weighs 0.25 lb, she’d have the maximum weight allowed.
Answer:
The total weight of the items is 1.25 + 0.25 + 0.6 + 0.4 = 2.5 lb. 2.5 is 0.25 greater than 2.25, so not all the items can be added. If Li leaves out the extra game, which weighs 0.25 lb, she’d have the greatest possible weight allowed.
Step-by-step explanation:
Aight bois this can be worth a brainliest so y’all better help me out
Answer:
The differences between a physical change and a chemical change are as follows :
Physical change is a temporary and usually reversible change in which no new substances are formed whereas Chemical change is a permanent and it is usually an irreversible change in which new substances with different properties are formed. In physical change, the chemical composition of the substance remains the same but only the physical properties like state , colour , speed , motion , shape , size etc are changed whereas In chemical change , the physical properties , the chemical properties and the chemical composition of the substances are changed.Physical change is a reversible change as it occurs in forward as well as backward directions whereas chemical change is an irreversible change as it cannot be reversed back from products to reactants.Some of the examples of physical change are glowing of an electric bulb , magnetising an iron nail , preparing a solution , changing of ice into water and water vapour etc. Some of the examples of chemical change are changing milk into curd , rusting of iron , burning magnesium ribbon , decaying grasses , cooking rice etc.Hope I helped!
Best regards ! :D
~[tex] \text{TheAnimeGirl}[/tex]
ASAP ASAP ASAP
HELP ME PLEASE
Answer:
D i'm pretty sure
Step-by-step explanation:
Answer: $2.19
Step-by-step explanation: you have to find the surface area. Add 10*7*2 and 7*1.25*2 and 1.25*10*2 and then multiply by 0.012! Then you can get your answer. (17.5 + 140 + 25)*0.012. I think this is right. Sorry if itś not.
Tom walks 3.2 km every morning. How many feet are in 3.2 km, given that 1 mile = 1.609 km and 1 mile = 5,280 feet? 2,654.85 feet 8,500.67 feet 10,500.93 feet 16,901.15 feetTom walks 3.2 km every morning. How many feet are in 3.2 km, given that 1 mile = 1.609 km and 1 mile = 5,280 feet? 2,654.85 feet 8,500.67 feet 10,500.93 feet 16,901.15 feet
Answer:
10,500.93 feet
Step-by-step explanation:
From the question, we are told that Tom walks 3.2km every morning.
1 mile = 1.609km
1 mile = 5280 feet
Step 1
1.609km = 1 mile
3.2km = x mile
Cross Multiply
x mile × 1.609km = 3.2km × 1 mile
x mile = 3.2km × 1 mile/1.609.
= 1.9888129273 miles
1 mile = 5280 feet
1.9888129273miles = y
Cross Multiply
y = 1.9888129273 × 5280 feet/1 mile
= 10500.932256 feet
Approximately = 10,500.93 feet
Therefore, Tom walks for 10,500.93 feet
10560
Answer:
10,500.93 feet
Step-by-step explanation:
Which are the partial products of 3,706 × 4?
Answer:
14824
Step-by-step explanation:
the product is 14824
put this numbers from greatest to least
0.2734, 23.74, 0.0347, 0.43,0.0043
Answer:
Step-by-step explanation:
23.74, .43, .2734, .0347, .0043
√600 and ∛56 and show work
Answer:
√600 is around 24.5 while ∛56 is around 3.83
Step-by-step explanation:
Method: TRIAL AND ERROR
For √600, we can follow trial and error method:
30^2 is 900, so too big
20^2 is 400, so too small
25^2 is 625, too big
24^2 is 576, too small
Considering that 600 is between 24^2 and 25^2, we can try in between:
24.5^2 is 600.25, which is very close, therefore 24.5 is the answer
For ∛56, we can also follow trial and error method:
5^3 is 125
4^3 is 64
3^3 is 27
Considering that 56 is somewhere between 3^3 and 4^3, and that it's much more closer to 4^3, we can try 3.6^3, which is: 46.656;
3.7^3 is 50.6
3.8^3 is 54.8
3.9^3 is 59
3.85^3 is 57
3.84^3 is 56.6 (still larger)
3.83^3 is 56.1
So the answer is 3.83
But the method above works when using calculator, best for a calculator exam. If calculator is not allowed, you can find the difference between the two possible answers (e.g: 27 and 64 (3^3 and 4^3) following the above, to find out ∛56.) Of course, 56 is much nearer to 4^3, so we can assume that the answer is around 3.8.
Hope this helped. :)
~ Janice, year 10
3-4 what is the answer I am dumb plz helq
Answer:
Its -1. Do not call yourself dumb, though, negatives are the easiest subject
Step-by-step explanation:
Not sure how to do this
The sum of the digits of a two digit number is 11 the number got by interchanging the digits is 27 more than the original number. What is this number ?
Let the digit in one's place be y and digit at ten's place be x.
Given:Sum of the digits = 11
⟶ x + y = 11
⟶ x = 11 - y -- equation (1).
And,
The number formed by reversing the digits is 27 more than the original number.
⟶ Reversed number = Original number + 27
reversed number = 10y + x.
⟶ 10y + x = 10x + y + 27
⟶ 10y + x - 10x - y = 27
⟶ 9y - 9x = 27
Substitute the value x from equation (1).
⟶ 9y - 9(11 - y) = 27
⟶ 9y - 99 + 9y = 27
⟶ 18y = 27 + 99
⟶ 18y = 126
⟶ y = 126/18
⟶ y = 7
Substitute the value of y in equation (1).
⟶ x = 11 - 7
⟶ x = 4
The number = 10(4) + 7 = 40 + 7 = 47.
∴ The required two digit number is 47.
I hope it will help you.
Regards.
There are 6 boys for every 7 girls on a playground. How many boys and girls could be playing on the playground?
The original price of a play ticket was $36.00. Yolanda bought the ticket at original price and then marked it up 10% and resold the ticket. How
much did she resell the ticket for?
What
which expression represents this model?
Answer:
3-6 I think
Step-by-step explanation:
when three times a number which is positive is subtracted from the square of that number the answer is 28.find the number??
Answer:
1.94
Step-by-step explanation:
Let the number be x
So when three times a number which is positive which means when a number is x so three times a number must be 3x is subtracted from the square of that number ,
now the number 3x is subtracted from its own square i guess it should look like this
[tex](3x)^2-3x[/tex]
and the answer is 28 so the final form of the problem should be
[tex](3x)^2-3x=28[/tex]
[tex]9x^{2} -3x-28=0[/tex]
now we solve the quadratic equation by using the quadratic formula and we two values for x
one is a positive value and the other is negative value we take the positive value as said in the question itself "when three times a number which is positive" so that value of x is 1.94