Answer:
Below in bold.
Step-by-step explanation:
y = -4x2 + 8x - 13
Divide first 2 terms by -4:-
y = -4(x^2 - 2x) - 13
Convert to vertex form by completing the square:
y = -4[(x - 1)^2 - 1] - 13
y = -4(x - 1)^2 + 4 - 13
y = -4(x - 1)^2 - 9 <---------- Vertex form
y = a(x - j)^2 + k <---------- General form with vertex = (j, k).
So comparing, we see that the vertex is (1, -9).
The cheeseburger in Alan's kid's meal has 300 calories. His fries have 101 and his drink has 150. How many tota calories
are in his meal?
Answer:
551 calories
Step-by-step explanation:
Given the number of calories in each part of his food you can add:
300 + 101 +150
to equal the total amount of calories in his food, which would be:
551 calories
In conclusion, there would be a total of 551 calories if Alan's kid's meal.
Have a great rest of your day
#TheWizzer
Which of the following binomials is a factor of the trinomial below?
x^2-5x-24
Answer:
(x-8) and (x+3)
Step-by-step explanation:
To find the binomials of the trinomial, we just need to factor in the trinomial.
First,
x² -5x - 24
Then split it, so the terms add to -5 and multiply to -24
x² +3x -8x - 24
Then factor x in the first part, and -8 in the second part.
x(x+3) - 8(x+3)
Factor again
(x-8)(x+3)
Answer:
Step-by-step explanation:
Factorize 24. When we add the factors, we have to get (-5) and we multiply we have to get (-24).
So, the factors are 3 and (-8)
When we add 3 +(-8) = -5 ; we multiply we get (-8)*3 =(-24)
Replace the middle terms with the factors.
x² - 5x - 24 = x² - 8x + 3x - 24
= x(x - 8) + 3(x - 8)
= (x - 8)(x+3)
A model of Earth is located 7600 meters from the Globe Arena in Sweden’s solar system model. The volume of the model is approximately 3052.08 cubic centimeters. What is the length of the radius of the Earth model?
The length of the radius of the mudel is 9 cm
Step-by-step explanation:[tex]By\ the\ topic[/tex]
[tex]The\ volume\ of\ the\ mudel\primes\ is\ 3052.08{\rm cm}^3[/tex]
[tex]Formula\ for\ the\ volume\ of\ the\ sphere\ is[/tex]
[tex]\frac{4}{3}\pi\ r^3[/tex]
[tex]\frac{4}{3}\pi\ r^3=3052.08[/tex]
[tex]\pi\ r^3=\frac{3}{4}\times3052.08=2289.06[/tex]
[tex]\gamma3=2289.06\div\pi[/tex]
[tex]\gamma=\sqrt{\frac{2289.06}{\pi}}\approx\sqrt{\frac{2289.06}{3.14}}+\sqrt{729}[/tex]
[tex]r=9cm[/tex]
[tex]7hus,\ the\ length\ of\ the\ vadius\ of\ eanth[/tex]
[tex]mudel\ is\ 9\ cm[/tex]
[tex]Application\ of\ the\ volume\ of\ the\ spheve?[/tex]
I hope this helps you
:)
Guys please help! i will mark brainliest to the right answers
Note: in order for me to mark a brainliest 2 people need to answer
Answer:
(A) :
[tex]y = - \frac{5}{2} x + 40[/tex]
(B) : it is a decreasing linear graph. this means that the amount Shikita owes is lesser by $2.50 amount each week
Step-by-step explanation:
shown in the attatchment
I need to solve 5 :(
Answer:
the distance between df is just 2dj so i belive its 12.
Step-by-step explanation:
Sketch a graph of − 3 x − y = − 4
Answer:
Step-by-step explanation:
Jennifer is a wedding planner. She set up six chairs at each table for the reception. If t represents the number of tables, which of the following expressions represents the total number of chairs that she set up?
A. 6 + t
B. t + 6
C. 6t
D. t - 6
Answer: C. 6t
Step-by-step explanation:
T is unknown, but because you are only asked for the equation to figure out the total, you simply multiply the 6 chairs per t, or table together, 6t
Four less than the product of seven and a
number is seventeen. What is the number?
=============================================
First of all, let the number be u.
The product of 7 and u means you should multiply 7 times u:
[tex]\pmb{7u}[/tex]
Now, subtract 4:
[tex]\pmb{7u-4}[/tex]
This expression equals 17:
[tex]\pmb{7u-4=17}[/tex]
[tex]\rule{200}{2}[/tex]
[Now, let's Find the Value of u]
First, add 4 to both sides:
[tex]\pmb{7u=21}[/tex]
Now, divide both sides by 7:
[tex]\pmb{u=3}[/tex]
=======================================================
notes:-Hope everything is clear; if you need any clarification /explanation, kindly let me know, and I will comment and/or edit my answer :)
Rewrite the equation by completing the square. X^2-14x+40=0
Answer:
(x – 7)² – 9
Step-by-step explanation:
I hope this helps
(This is a multiple choice question)Suppose you are rehearsing for a dance competition and you fall and hurt your shoulder. At the hospital, they take X-rays, consult a shoulder specialist, and give you a stabilizer brace. You pay a $50 co-pay at the time of service, and the ER bills your insurance company for the rest. The total hospital bill is $3,720. The table below shows the payment structure for your health insurance policy. If the injury happened in July, what is your total paid in monthly premiums?
A. 1,050$
B. 150$
C. 900$
The nisure below is made of 2 rectangular prisms. What is the volume of this figure? 5 m 4 m 2 m 9 m 5 m
Answer: Find the volume of a rectangular prism whose length, width, and height are 8cm, 6cm, and 4cm, respectively. Therefore, the volume of a rectangular prism is 192 cm 3.
Celene invierte $5,000 en un banco al 5.15% de interés anual capitalizable cada trimestre. Utiliza el interés compuesto para determinar cuál es el rendimiento porcentual anual
El monto total acumulado, capital más interés, con interés compuesto sobre un capital de $5,000.00 a una tasa de 5.15% anual compuesto 4 veces por año durante 1 año es $5,262.52.
Interés compuestoDatos dados
Principal = $ 5000Tasa = 5,15%Tiempo = 1 añoA = P + I donde
P (principal) = $5,000.00
I (interés) = $262.52
Pasos de cálculo:
Primero, convierta R como un porcentaje a r como un decimal
r = R/100
r = 5,15/100
r = 0.0515 tasa por año,
Luego resuelve la ecuación para A
A = P(1 + r/n)^nt
A = 5000,00(1 + 0,0515/4)^(4)(1)
A = 5,000.00(1 + 0.012875)^(4)
A = $5,262.52
Obtenga más información sobre el interés compuesto aquí:
https://brainly.com/question/24924853
A missionary used his plane to take an injured girl 855 kilometers to the hospital. If he flew at an average speed of 171 kilometers per hour, how long did it take to reach the hospital?
Step-by-step explanation:
171 km/h
travel distance = 855 km
855 / 171 = 5 hours
it took him 5 hours to fly the 855 km (theoretically to the hospital).
normally, with a plane, you can't land on or at a hospital. you would need a helicopter to be able to do that.
so, he could only fly to a nearby airport, and then travel from there to the hospital. but we have no information about that.
the length of a rectagle is twice its width. if the perimeter of the rectangle is 36in, find its length and width
Answer:
6*2=12
if length is 12 half it would be 36
Answer:
width = 6in
length = 12in
Step-by-step explanation:
If we call the width x, the length has to be 2x and so...
x + 2x + x + 2x = 36 (this can be simplified to ↓)
6x = 36 (if you divide both sides by 6...)
x = 6
This means that the width of the rectangle is 6in and so the length is 12in.
Hope this helps!
Divide and simplify.
- 8/15 divided by - 3/5
A) - 3/25
B) - 4/5
C) 13/15
D) 8/9
Answer:
8/9
Step-by-step explanation:
i need help finding x and y
Answer:
x is 5 and y is 6
Step-by-step explanation
we find 2/3 factors that equal 10. 2 and 3. the only other number that can be added that equals 10 is 5. i apply the same logic to y
Answer:
Y -- 6
X -- 5
Step-by-step explanation:
we first find y by finding the side that is the longest that is parallel to y (16) we also find that two sets of fives are also parallel to y and 16 as seen in the first screenshot. Then to find the missing value we will subtract the 5 two times from 16 to find y. 16 - 5 = 11 - 5 = 6.
we do the same thing to find x, (10 - 2 = 8) (8 - 3 = 5) X = 5
A square 16 cm on a side. Use this scale: Side of a
square = 2 cm.
The area of the scale drawing given the scale of the square is 64cm^2.
What is the area of the scale drawing?A scale drawing is a reduced form in terms of dimensions of an original image / building / object
Dimensions of the scale drawing = original dimensions / scale of the drawing
16 cm / 2 = 8cm
Area = 8 x 8 = 64cm^2
A square 16 cm on a side. Use this scale: Side of a square = 2 cm. Find the area of the scale drawing.
To learn more about scale drawings, please check: https://brainly.com/question/26388230
.
Tuesday
Sharon gets paid every other week.
She worked 19.5 hours one week and
20 hours the other week. How much
did she get paid, if she makes $9.25
per hour?
Answer:
$365.37
Step-by-step explanation:
add the hours up which is 20+19.5=39.5
then multiply by the wage 9.25 which is 39.5*9.25 which equals 365.375 and you cant round a penny up because its not possible in real life so your answer is just 365.37
NO LINKS!!
You want to make a banner that says HAPPY BIRTHDAY. You want the letters to be 3 inches high. You make a sketch of the banner with letters that are 2 inches high. The length of the phrase in your sketch is 20 inches long. What length of paper should you buy to make the banner?
Answer:
30 inches
Step-by-step explanation:
Assuming the banner you want is similar to the sketch you made, the length of the banner is 10 times the letter height.
For 3-inch letters, the banner length will be 30 inches.
Answer:
30 ft
Step-by-step explanation:
**According to the image of the banner, the banner should be 3 foot high (not 3 inches)**
Create a ratio of letter height to length of phrase for the sketch and the banner. Let x be the length of the banner.
NB There is no need to convert the measurements between inches and feet, since the letter height and length of phrase is measured in the same way for each banner.
Ratio: letter height : length of phrase
Sketch (in inches): 2 : 20
Banner (in feet): 3 : x
Equate the ratios and solve for x:
[tex]\sf \implies 2 : 20 = 3 : x[/tex]
[tex]\sf \implies \dfrac{2}{20}=\dfrac{3}{x}[/tex]
[tex]\sf \implies 2x=3 \cdot 20[/tex]
[tex]\sf \implies 2x=60[/tex]
[tex]\sf \implies x=\dfrac{60}{2}[/tex]
[tex]\sf \implies x=30[/tex]
Therefore the length of paper your should buy to make the banner is 30ft.
What is 2/5 divided by 5
Answer:
0.08 I hope this is right
Step-by-step explanation:
2/5 = 0.4÷5 = 0.08
Answer:
Step-by-step explanation:
Use KCF method
K - Keep the first fraction
C- change the operation ÷ to multiplication
F - Flip the second fraction
[tex]\textbf{$\dfrac{2}{5} \div 5$}=\dfrac{2}{5}*\dfrac{1}{5}\\\\\\=\dfrac{2}{25}[/tex]
Cual es el resultado de la división 636
entre 3
Answer:
its gonna be 212 fam
Step-by-step explanation:
A rectangular shaped garden has an area of 80 square feet. The length is 5 less than twice the width. What are the dimensions of the garden?
Answer:
Width=28 1/3 Length=51 2/3
Step-by-step explanation:
1. Create an equation
x+(2x-5)=80
2. Solve
x+(2x-5)=80
3x-5=80
3x-5+5=80+5
3x/3=85/3
x=28 1/3
So, if x=28 1/3
85/3x2=170/3
56 2/3-5
So, Length=51 2/3
help me please and thank you
Answer:
m∠N = 85°
Step-by-step explanation:
Properties of a parallelogram
opposite sides are parallel and equal in lengthopposite angles are equalinterior angles that lie on the same side of the transversal are supplementary - their sum is 180°Therefore,
m∠M + m∠N = 180°
⇒ 95° + m∠N = 180°
⇒ m∠N = 180° - 95°
⇒ m∠N = 85°
--------------------------------------------------------------------------------------
Additional calculations
m∠M = m∠P = 95°
m∠N = m∠L = 85°
MN = LP
ML = NP
Solve the system of equations:
4x-5y=21
3x+10y= -53
Step-by-step explanation:
2× (4x-5y) = 21
3x+10y= -53
-------------------------
8x-10y = 42
3x+10y=-53
------------------------
11x= -11
{x=-1}
-----------------
3x+10y=-53
x=-1
3(-1)+10y=-53
-3+10y=-53
10y= -50
{y=5}
Simplify expression:
2(4x + 3) - 3(x + 1)
Answer:
5x+3
Step-by-step explanation:
[tex]\left[Thank\;you\;for\;Joining\;Brainly!][/tex]
Answer:
5x + 3
Step-by-step explanation:
[tex]2\left(4x+3\right)-3\left(x+1\right)[/tex]
[tex]\mathrm{Expand\;2(4x+3)}:8x+6[/tex]
[tex]=8x+6-3\left(x+1\right)[/tex]
[tex]\mathrm{Expand\;-3(x+1)}:-3x-3[/tex]
[tex]=8x+6-3x-3[/tex]
[tex]\mathrm{Group\:like\:terms}[/tex]
[tex]=8x-3x+6-3[/tex]
[tex]\mathrm{Subtract\:the\:numbers:}\:6-3=3[/tex]
[tex]=8x-3x+3[/tex]
[tex]\mathrm{Add\:similar\:elements:}\:8x-3x=5x[/tex]
[tex]=5x+3[/tex]
Hence, your answer is 5x + 3
[RevyBreeze]
What value in place of the question mark makes the polynomial below a perfect square trinomial?
x^2 + 24x + ?
A. 24
B. 48
C. 144
D. 12
Answer:
144
Step-by-step explanation:
[tex]x^2+24x +144\\\\=x^2 + 2\cdot 12x +12^2\\\\=(x+12)^2[/tex]
Cody wanted to give each of his forty-five friends an equal amount of candy. At the store he bought six hundred eighty pieces total to give to them. How many more pieces should he have bought so he didn't have any extra pieces?
Divide total bought by number of people first:
680 / 45 = 15.111
round up to 16. Multiply 16 by 45:
45 x 16 = 720
He should have bought 720 pieces. Now by Tracy to find how many more pieces:
720 - 680 = 40
He should have bought 40 more pieces.
To carpet a rectangular room, Erika must find the area of the floor. If the dimensions of the room are 9 yd by 15 yd, how much carpeting does she need?
Erika will need ______of carpeting?
Answer:
135 square yards
Step-by-step explanation:
9 yd * 15 yd = (9 * 15) yd^2 = 135 yd^2
P: Using your prior knowledge how would you find the area of a rectangle ?
Answer: w * l
To find the area of a rectangle the formula used is width x length
Step-by-step explanation:
7 5/8 + 1 1/2 = ?
how do you do it?? need help!