which describes the graph of y=-(x+5)^2+3

Which Describes The Graph Of Y=-(x+5)^2+3

Answers

Answer 1

Answer:

Maximum at (-5, 3)

Step-by-step explanation:

The quadratic equation is in vertex form, which specifically shows the vertex.

Since the a is negative, you get a maximum y value of 3.

Vertex form: y=a(x-h)^2+k

Answer 2
Maximum at (-5, 3)
Y’ = -2(x+5)
=> maximum when y’ = 0

Related Questions

Solve the inequality and express your answer in interval notation
x^2 - 12x + 3 <0

Answers

Answer:

x is ( -∞, 6-√(33) ) U ( 6+√(33) , -∞ )

Step-by-step explanation:

I have attached the explanation on the image above, hopefully this help

does the point (-4, 2) lie inside or outside or on the circle x^2 + y^2 = 25?​

Answers

Answer:

The points lie INSIDE THE CIRCLE

hope it helps

have a nice day

Given equation of the Circle is ,

[tex]\sf\implies x^2 + y^2 = 25 [/tex]

And we need to tell that whether the point (-4,2) lies inside or outside the circle. On converting the equation into Standard form and determinimg the centre of the circle as ,

[tex]\sf\implies (x-0)^2 +( y-0)^2 = 5 ^2[/tex]

Here we can say that ,

• Radius = 5 units

• Centre = (0,0)

Finding distance between the two points :-

[tex]\sf\implies Distance = \sqrt{ (0+4)^2+(2-0)^2} \\\\\sf\implies Distance = \sqrt{ 16 + 4 } \\\\\sf\implies Distance =\sqrt{20}\\\\\sf\implies\red{ Distance = 4.47 }[/tex]

Here we can see that the distance of point from centre is less than the radius.

Hence the point lies within the circle .

Write 8 as the ratio of two integer

Answers

Answer:

Step-by-step explanation:   7  1  16   37

8/1     8 divided by 1

16/2   16 divided by 2

24/3   24 divided by 3       I could go on, but won't

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Answers

Gggtttyssdddd…………………
ajbdhshqjdjwiqjdjwnnqiqwkanjajqjaja

Is the product of two prime numbers a prime number or a composite
number?

Answers

Step-by-step explanation:

No, the product of two (or more) prime numbers cannot result in another prime number. By definition, a prime number is a number that is divisible by 1 or itself - the act of multiplying two or more primes together will always yield a number divisible by 1, itself and the prime numbers multiplied together to achieve it.

Answer:

a composite one

Step-by-step explanation:

Why?

It is easy-peasy.

First, it is impossible to have a prime number. Because primes are only divisible by 1 and themselves.

For example, 3 is a prime. 7 is a prime. Multiply them and get 21.

I hope it helped:)

Lines L and M are parallel.

Answers

Answer:

52°

Step-by-step explanation:

The angle 38° and m∠1 equal 90°, so 90-38=52.

Answer:

thats is an obtuse so if 2 is 38 then 1 should be 120 but u add those together u get 158 so it shold be 120 but if not then try looking explamles up

Step-by-step explanation:

Marcella incarica Dora di aiutarla a suddividere 35 perle tra le sue tre figlie. Alla figlia maggiore vuole regalare la metà, alla mediana la terza parte e alla minore la nona parte. Inoltre Marcella vuole dare una perla a Dora come ricompensa. Quante perle riceverà ciascuna figlia?

Answers

Answer:

La hija mayor recibirá 17.5 perlas, la hija del medio recibirá 11.66 perlas, y la hija menor recibirá 3.88 perlas.

Step-by-step explanation:

Dado que Marcella le pide a Dora que la ayude a dividir 35 perlas entre sus tres hijas, y quiere darle la mitad a la hija mayor, la tercera parte a la del medio y la novena a la menor y, además, Marcella quiere darle una perla a Dora como recompensa, para determinar cuántas perlas recibirá cada hija se debe realizar el siguiente cálculo:

35 / 2 = Mayor = 17.5 perlas

35 / 3 = Medio = 11.66 perlas

35 / 9 = Menor = 3.88 perlas

Así, la hija mayor recibirá 17.5 perlas, la hija del medio recibirá 11.66 perlas, y la hija menor recibirá 3.88 perlas.

Find the sum of the series -11 - 3 + 5 + 13 + ... + 125 using the series formula.

Answers

Answer:

1026

Step-by-step explanation:

Common difference = d = 2nd term  - first term

 d = -3 - (-11) = -3 +11 = 8

First term = a = -11

First we need to find the number of terms in this series

[tex]a_{n} = 125\\\\a + (n- 1)d = a_{n}\\\\[/tex]

-11 + (n- 1) * 8 = 125

 (n-1)*8 = 125 + 11

 (n-1) * 8 = 136

n -1 = 136/8

n -1 = 17

  n = 17+1

 n = 18

[tex]S_{n} =\frac{n}{2}(a+a_{n})\\\\S_{18} =\frac{18}{2}(-11+125)\\\\[/tex]

   = 9 * 114

   = 1026

David is paid a salary of $1850 per month. He is also paid time and a half for work in excess of 40 hours a week. He worked 62 hours last week. What is his gross pay?

Answers

Answer:

$1,471.5625

Step-by-step explanation:

Monthly salary = $1850

Weekly salary = $1850/4 weeks

= $462.5

Hourly rate = $462.5/40 hours

= $11.5625

Overwork time = 62 hours - 40 hours

= 22 hours

Time and a half = 1.5 times the normal salary

Overwork time payment per hour = 1.5 × $11.5625

= $17.34375

Overwork time payment for 22 hours = 22 × $17.34375

= $381.5625

Last week salary = weekly salary + overtime payment

= $462.5 + $381.5625

= $84.0625

Gross salary for the month = 3 weeks regular salary + last week salary

= (3 × $462.5) + $84.0625

= $1387.5 + $84.0625

= $1,471.5625

(05.05 HC)The four points (−2, 5), (−2, −1), (5, −1), and (3, 5) are the vertices of a polygon. What is the area, in square units, of this polygon? 27 units2 33 units2 36 units2 51 units2

Answers

Answer:

Area = 36 squ. unit

Step-by-step explanation:

According to the Question,

Given That, The four points (−2, 5), (−2, −1), (5, −1), and (3, 5) are the vertices of a polygon. (Please find diagram in attachment)

by using these points a quadrilateral is formed with two opposite sides 7 and 5 and with height 6 (Refer in the diagram).

Therefore, the area of this polygon is

Area = 1/2 * (sum of opposite side) * height

Area = 1/2 * (7+5) * 6

Area = 3*12

Area = 36 squ. unit

Answer:

36

Step-by-step explanation:

simplify 3[(15-3)^2 + 4]

Answers

Answer:

444

Step-by-step explanation:

3 [ ( 15 - 3 )^2 + 4 ]

= 3 [ ( 15 - 3 )^2 + 4 ]

= 3 [ ( 12 )^2 + 4 ]

= 3 [ 144 + 4 ]

= 3 [ 148 ]

= 444

Step-by-step explanation:

3(15-3)²+4

3(12)²+4

3×144+4

432+4

436 Answer

Please help I suck at dividing Fractions (Will give brainliest)

Answers

Answer:

The final result is 7/10

the "divisions" (divisor) is 1/10

thus the answer is 7/10 ÷ 1/10

the actual operation ....

"to divide fractions we INVERT and Multiply"

7/10 * 10/1 = 70/10 = 7

there are 7 arrows going to the right

Step-by-step explanation:

Pick the correct graph and equation pleasee!

Answers

Given:

Amount of flour in a bin = 30 cups

Flour required for each signature cake = [tex]1\dfrac{1}{2}[/tex] cups

To find:

The correct equation and graph for the given situation.

Solution:

Let F be the amount of flour in the bin and c be the number of signature cakes.

Flour required for each signature cake = [tex]1\dfrac{1}{2}[/tex] cups

Flour required for each signature cake = [tex]1.5[/tex] cups

Flour required for c signature cakes = [tex]1.5c[/tex] cups

Amount of flour in a bin is 30 cups and it is reduced by 1.5c cups. So, the amount of flour in the bin is:

[tex]F=30-1.5c[/tex]

At [tex]c=0[/tex], we get

[tex]F=30-1.5(0)[/tex]

[tex]F=30[/tex]

At [tex]F=0[/tex], we get

[tex]0=30-1.5c[/tex]

[tex]1.5c=30[/tex]

[tex]c=\dfrac{30}{1.5}[/tex]

[tex]c=20[/tex]

Therefore, the required equation is [tex]F=30-1.5c[/tex] and the 4th graph is correct.

please help me it’s urgent

Answers

Answer:

600g of Flour

Step-by-step explanation:

According to the question every 15 biscuits is 50g it need 50g of sugar and flour is 3 times the amount it needs for 15 biscuits so 50*3=150 now we know 15 biscuits need 150g of flour so 30 requires 300 and 300g +300g is equal to 600g of flour.

Answer:

600 g of flour.

Step-by-step explanation:

If Deon needs 50 g of sugar to make 15 biscuits, and she is going to make 60 biscuits, then she will need 200 g of sugar, since 60/15 is 4.

If the amount of flour she needs is equal to the amount of sugar multiplied by three, or 3x, if x is the amount of sugar, then she will need 200 x 3 g of flour.

Therefore, she will need 600 g of flour.

Jerry needs 216 posts to build a fence. He has 88 posts and needs P more. Write an equation that you could use to find the number of posts jerry still needs.

Answers

Answer:

P = 128 Post

Step-by-step explanation:

Total post needed = 216 posts

Number of post Jerry has = 88 posts

Number of posts jerry still needs = P

Total = Number of post Jerry has + Number of posts jerry still needs

216 = 88 + P

216 - 88 = P

128 = P

P = 128 Post

Battle is making fruit baskets, which include apples and bananas to send to some of her real estate clients. She wants each basket to have at least 12 pieces of fruit but the fruit should weigh no more than 80 ounces total. On average each apple weighs 5 ounces and each banana weighs 7 ounces.

Answers

Answer:

there are 2 apples in the basket

there are 10 banana in the basket

Step-by-step explanation:

According to the Question,

We have, Battle is making fruit baskets, which include apples and bananas to send to some of her real estate clients. She wants each basket to have at least 12 pieces of fruit.

let x for apple And y for banana So, x+y=12---Equation 1

And, the fruit should weigh no more than 80 ounces total. On average each apple weighs 5 ounces and each banana weighs 7 ounces.

Thus, 5x+7y=80 ----Equation 2

Now, (Equation 1) × 5 Subtract with (Equation 2) We get,

2y = 20 ⇒ y=10 (there are 10 banana in basket)

Put value of y=10 in Equation 2 we get

5x+70=80 ⇔ x=2(there are 2 apples in basket)

Evaluate the function. f(x)=−x^2 Find f(−5)

Answers

Answer:

25

Step-by-step explanation:

put -5 from x so (-(-5))²=25

Solution:

For each occurence of x in f(x) substitute 4 and clculate the result

f(x)=-x^2+5 becomes

f(4)=-(4)^2+5

f(4)=-16+5

f(4)=-11

Describe fully the single transformation that maps triangle A onto triangle B

Answers

Answer:there’s needs to be an image

Step-by-step explanation:

Find the value of x.

Answers

Answer:

The value of x is 18°

Step-by-step explanation:

Sum of the angles are 180°

3x+126=180

3x=180-126

3x=54

x=18

Answered by GAUTHMATH

x = 4y + 3, 2x + y = -3
System of Equations

Answers

Answer:

(- 1, - 1 )

Step-by-step explanation:

Given the 2 equations

x = 4y + 3 → (1)

2x + y = - 3 → (2)

Substitute x = 4y + 3 into (2)

2(4y + 3) + y = - 3 ← distribute parenthesis and simplify left side

8y + 6 + y = - 3

9y + 6 = - 3 ( subtract 6 from both sides )

9y = - 9 ( divide both sides by 9 )

y = - 1

Substitute y = - 1 into (1) for corresponding value of x

x = 4(- 1) + 3 = - 4 + 3 = - 1

solution is (- 1, - 1 )

A chocolate factory uses 16 of a bag of cocoa butter in each packet of chocolate. The factory used 13 of a bag of cocoa butter today. How many packets of chocolates did the factory make?

Answers

Answer:

13/16 of a packet

Step-by-step explanation:

Solve using ratios:

1 packet ⇒ 16 bagsx packets ⇒ 13 bags

Find x:

x*16 = 1*13x = 13/16

write two such ratios number whose multplicativen inverse is same as they are​

Answers

Answer:

1 and -1 are two rational numbers whose multiplicative inverse is same as they are.

Step-by-step explanation:

mark me brainlist

Ah what is the length of XB? I really need to learn how to solve this

Answers

Answer:

5.28

Step-by-step explanation:

we use the formula

H²=B²+P²

and we will get the answer

branliest if it is helpful

Answer:

Angle BXY

using pythogoras theory which is

hyp*2= opp*2 +adj*2

hypothenus being the longest part of the angle BX=?

Step-by-step explanation:

hyp= 4.2*2+ 3.2*2

hyp*2 =17.64 + 10.24

hyp*2 = 27.88

hyp =√27.88

hyp=5.28...Ans

note *2...square

Here are the first five terms of a sequence. 4, 11, 22, 37, 56 Find an expression, in terms of , for the th term of this sequence.

Answers

Answer:

[tex] a_n = 2n^2 + n + 1 [/tex]

Step-by-step explanation:

4, 11, 22, 37, 56

11 - 4 = 7

22 - 11 = 11

37 - 22 = 15

56 - 37 = 19

After the first difference, 11 - 4 = 7, each difference is 4 more than the previous difference.

Difference of differences:

11 - 7 = 4

15 - 11 = 4

19 - 15 = 4

Since we need the difference of differences to find a constant, this must be a second degree function.

[tex] a_1 = 4 = 2^2 + 1(0)[/tex]

[tex] a_2 = 11 = 3^2 + 2 = 3^2 + 2(1) [/tex]

[tex] a_3 = 22 = 4^2 + 6 = 4^2 + 3(2) [/tex]

[tex] a_4 = 37 = 5^2 + 12 = 5^2 + 4(3) [/tex]

[tex]a_5 = 56 = 6^2 + 20 = 6^2 + 5(4)[/tex]

[tex] a_n = (n + 1)^2 + (n)(n - 1) [/tex]

[tex] a_n = (n + 1)^2 + (n)(n - 1) [/tex]

[tex] a_n = n^2 + 2n + 1 + n^2 - n [/tex]

[tex] a_n = 2n^2 + n + 1 [/tex]

In an extensive study involving thousands of British children, Arden and Plomin (2006) found significantly higher variance in the intelligence scores for males than for females. Following are hypothetical data, similar to the results obtained in the study. Note that the scores are not regular IQ scores but have been standardized so that the entire sample has a mean of M 5 10 and a standard deviation of s 5 2. a. Calculate the mean and the standard deviation for the sample of n 5 8 females and for the sample of n 5 8 males. b. Based on the means and the standard deviations, describe the differences in intelligence scores for males and females.

Answers

Answer:

mean value of female = 10.000

standard deviation of female = 1.604

mean value of male = 10.000

standard deviation of male = 2.449

Step-by-step explanation:

Given:

n=8 females

n=8 males

The objective is to find the mean and deviation and also based on the mean and the standard deviation have to describe the differences in intelligence scores for males and females

Solution:

The mean and the standard deviation are found by using MINITAB

The MINITAB procedure is explained as follows,

Step 1

choosing start > Basic statistics > Display Descriptive Statistics

Step 2

In variables supposed to enter the columns Female and Male

Step 3

Here choosing option statistics and select Mean and standard deviation

Step 4

Finally clicking OK

MINITAB output is as follows,

variable Mean standard deviation

Female 10.000 1.604

Male 10.000 2.449

b)

From the MINITAB output the mean are same for females and males.

Here the standard deviation of females is less than the standard deviation of males. That is the male scores are more variable when compared to female scores.

What is the value of tan in the unit circle below?

Answers

Question:-

What is the value of tan in the unit circle below?

Answer:-

The value of tan in the unit circle below is

[tex] \frac{ \sqrt{3} }{2} [/tex]

Note:- Please attach the full question next time.

Let be the set of permutations of whose first term is a prime. If we choose a permutation at random from , what is the probability that the third term is equal to

Answers

Answer:

[tex]Pr = \frac{1}{6}[/tex]

Step-by-step explanation:

Given

[tex]S = \{1,2,3,4,5\}[/tex]

[tex]n = 5[/tex]

Required

Probability the third term is 3

First, we calculate the possible set.

The first must be prime (i.e. 2, 3 and 5) --- 3 numbers

[tex]2nd \to 4\ numbers[/tex]

[tex]3rd \to 3\ numbers[/tex]

[tex]4th \to 2\ numbers[/tex]

[tex]5th \to 1\ number[/tex]

So, the number of set is:

[tex]S = 3 * 4 * 3 * 2 * 1[/tex]

[tex]S = 72[/tex]

Next, the number of sets if the third term must be 2

[tex]1st \to 2[/tex] i.e. 1 or 5

[tex]2nd \to 3\ numbers[/tex] ---- i.e. remove the already selected first term and the 3rd the compulsory third term

[tex]3rd \to 1\ number[/tex] i.e. the digit 2

[tex]4th \to 2\ numbers[/tex]

[tex]5th \to 1\ number[/tex]

So

[tex]r = 2 * 3 * 1 * 2 * 1[/tex]

[tex]r = 12[/tex]

So, the probability is:

[tex]Pr = \frac{r}{S}[/tex]

[tex]Pr = \frac{12}{72}[/tex]

[tex]Pr = \frac{1}{6}[/tex]

Intercept Form
Point (-3,4)
Slope 5
m= b=

Answers

Answer:

y = 5x + 19

Step-by-step explanation:

y = 5x + b

4 = 5(-3) + b

4 = -15 + b

19 = b

A plane flies from Los Angeles west to Paradise Isle and returns. During both flights there is a steady upper air wind from the west at 80 mph. If the trip west to Paradise Isle took 17 hours and the return trip to Los Angeles took 13 hours, what was the plane's average airspeed?

Answers

Answer: [tex]589.33\ mph[/tex]

Step-by-step explanation:

Given

Trip form Los Angeles west to Paradise Isle took 17 hours and return trip took 13 hours.

Wind from west is 80 mph

Distance traveled is same in both the cases. During the first Journey, wind causes an upstream and for second half, it creates a downstream.

Suppose the speed of plane is

[tex]\Rightarrow (v-80)17=(v+80)13\\\Rightarrow 17v-1360=13v+1040\\\Rightarrow 4v=2400\\\Rightarrow v=600\ mph[/tex]

Suppose the distance is x

[tex]\Rightarrow x=(600-80)\times 17\\\Rightarrow x=520\times 17\\\Rightarrow x=8840\ \text{miles}[/tex]

Average speed is

[tex]\Rightarrow v_{avg}=\dfrac{x+x}{17+13}\\\\\Rightarrow v_{avg}=\dfrac{2\times 8840}{30}\\\\\Rightarrow v_{avg}=589.33\ mph[/tex]

Answer:

The speed of plane is 600 mph.

Step-by-step explanation:

Let the distance is d.

Speed of wind , u = 80 mph

Time, t = 17 hours

time, t'= 13 hours

Let the speed of airplane is v.

distance = speed x time

d = (v + u) x 13= (v - u) x 17

(v + 80) x 13 = (v - 80) x 17

13 v + 1040 = 17 v - 1360

4 v = 2400

v = 600 mph

If A =
[tex]if \: a \: = \binom{53}{24} \: and \: b = \binom{32}{10} then \: prove \: that |ab| = |a| . |b| [/tex]
and B = Prove that |AB| = |A| . |B|​

Answers

A=53/24 and B=32/10

|A| = |53/24| = 53/24
|B| = |32/10| = 32/10
AB = 53/24 * 32/10 = 1,696/240


|A| * |B| = |AB|
|53/24| * |32/10| = |1,696/240|
53/24 * 32/10 = 1,696/240
1,696/240 = 1,696/240
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