In which direction does the parabola defined by the equation y = 4x + 4 open?

Answer:

6:00

Step-by-step explanation:

The times the 7 in the Susan's scores is greater than Sarah's score is 100 times

From the question, we have the following parameters that can be used in our computation:

Susan = 87, 325

Sarah = 46, 175

The values of the 7's in their scores are

Susan = 7, 000

Sarah = 70

So, we have

Number of times = 7000/70

Evaluate

Number of times = 100

Hence, the number of times is 100

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The graph that represents the inequality 5y≤10 is plotted below.

What is an inequality?

In Algebra, an inequality is a mathematical statement that uses the inequality symbol to illustrate the relationship between two expressions. An inequality symbol has non-equal expressions on both sides. It indicates that the phrase on the left should be bigger or smaller than the expression on the right, or vice versa.

The given inequality is 5y≤10.

In a graph of an inequality, the symbols (<,>) are represented using a dotted line and the symbols (≤,≥) are represented using a straight line.

So, the graph of inequality 5y≤10 will have a straight line.

Now, writing the inequality 5y≤10 in slope-intercept form y = mx + b -

5y = 10

5y = 0x + 10

Substituting the values of x and y with origin (0,0) -

5(0) = 0(0) + 10

0 = 10

Putting the inequality symbol back -

0 ≤ 10

Since, 0 ≤ 10 is true hence the shaded region of graph will cover the origin.

On solving 5y = 10  -

y = 2

Hence the points of the inequality will be (0,2).

Therefore, the graph for the inequality 5y≤10 is plotted.

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Answer:

c

Step-by-step explanation:

given a quadratic equation in standard form

ax² + bx + c = 0

then

sum of roots = - \(\frac{b}{a}\)

product of roots = \(\frac{c}{a}\)

2x² + 8x - 14 = 0 ← is in standard form

with a = 2 , b = 8 , c = - 14

sum of roots = - \(\frac{b}{a}\) = - \(\frac{8}{2}\) = - 4

product of roots = \(\frac{c}{a}\) = \(\frac{-14}{2}\) = - 7

Answer:

She is 2 years and 6 months old.

Answer:

see first of all it is a quadratic polynomial so it will have 2 zero alpha and beta

now , we will find value of a , b, c

so,

a= 3

b= 5

c= -2

now, sum of the zeros ( alpha + beta) =-b/a

so,-5/3

now product of zeros (alpha *beta) = c/a

so, it will we -2/3

hope you get it !

Answer:

\(-\frac{3}{10}\)

Step-by-step explanation:

\(\frac{2}{5} *-\frac{3}{4} \\=-\frac{6}{20} \\=-\frac{3}{10}\) (Reduced to simplest form.)

ANSWER:

35

STEP-BY-STEP EXPLANATION:

We have the follwing function:

Now, if the value of x is less than 50, so that the difference is equal to 10, then:

Therefore, the value of y must be less than 39, the only option that is satisfied with this is 35

Answer:

19.5

Step-by-step explanation:

let burger be x and fries be y

2x+y = 6.5

6x+3y = 3(2x+y) =3(6.5) =19.5

Answer:

The value of 7.9-4.36 is 3.54

The value of 5.27 + 3.5 is 8.77

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

|-5| = 5

|4| = 4

5+4

Answer:

52 units

Step-by-step explanation:

Perimeter of the resulting shape is the length of the boundary all through the resulting shape that is left after cutting out a rectangle out of the larger rectangle.

Perimeter = 15 + 8 + 4 + 3 + 5 +3 + 6 + 8

Perimeter = 52

Perimeter of the resulting shape is 52 units

Answer:

Step-by-step explanation: well, you will more than likely get it at least 60%-80% of the time! If this doesn't help i can try to explain in a lot more detail unless someone does for me!

Before any taxes, deductions, and other adjustments, she earns $98.40 per week.

Gross pay refers to the total amount of money an employee earns before any deductions or taxes are taken out. It is the total amount of money earned by an employee for the hours worked, including any overtime or bonuses.

here, we have,

To calculate Talia's gross pay for a week, we need to know how many hours she works per day and her pay rate.

You've provided that information:

Talia works 6 hours per day on Fridays and Saturdays each week.

Her pay rate is $8.20 per hour.

First, we need to find out how many hours she works a week. As she works 6 hours on Friday and 6 hours on Saturday, the total hours she works in a week is 6 hours/day x 2 days/week = 12 hours/week.

Next, we need to multiply her hourly rate by the number of hours she works per week to find her gross pay. Her pay rate is $8.20/hour and she works 12 hours/week, so her gross pay is:

$8.20/hour x 12 hours/week = $98.40/week

So, Talia's gross pay for a week is $98.40.

Therefore, before any taxes, deductions, and other adjustments, she earns $98.40 per week.

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Answer:

8n-5

Step-by-step explanation:

Find the difference between the numbers, +8 so 8n then subtract the diffference from the first number so 3 - 8= -5

The expression will be 8n - 5

Answer:

5/12

Step-by-step explanation:

Answer:

5/12.

Step-by-step explanation:

i have had this before so i already know the answer.

Answer:

I think that I am right.  One train is traveling at 75 mph and the other train is traveling at 91 mph

Step-by-step explanation:

Answer:

4x² + 28x + 49

Step-by-step explanation:

(x + x + 7)²

(2x+7)(2x+7)

4x² + 28x + 49

9514 1404 393

Answer:

  x = 20

Step-by-step explanation:

Multiply both sides of the equation by 4 to make the coefficient of x be 1. This will show you the solution.

 4(1/4)x = 4(5)

  x = 20

Answer:

If two chords intersect in a circle, then the product of the segments of one chord equals the product of the segments of the other chord.

6(3x) = 4(4x + 1)

18x = 16x + 4

2x = 4

x = 2

The first equation will be multiplied by 3 and that of the second by 4.

An elimination method is a process of solving a system of linear equation, in this we make coefficients of the one variable equal and subtract the equations.

Given that are two equations to be solved by using elimination method,

-4x+4y = 32.....(i)

3x-y = 12......(ii)

To eliminate x, we will multiply eq(i) by 3 and eq(ii) by 4

-12x+12y = 96.....(iii)

12x-4y = 48....(iv)

Solving the equations, we get,

8y = 144

y = 18

Put y = 18 in eq (ii)

3x-18 = 12

3x = 30

x = 10

Hence, the first equation will be multiplied by 3 and that of the second by 4.

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Step-by-step explanation:

s1 = 5

s2 = s1 × -2 = 5×-2 = -10

s3 = s2 × -2 = -10 × -2 = 20

...

now, we could do all that manually.

but there is also a formula for geometric sequence.

in fact, there are 2 - one for finite and one for infinite sequences.

and I was not completely honest, each of these 2 had some sub-forms depending on the size of the multiplier or ratio.

since we need the sum of the first 5 terms, which of the 2 do you think we need ?

of course, finite, because 5 is a normal number we can "touch". it is not infinity.

so, the formulas for finite sums of geometric sequences are :

if |r| < 1, Sn = a(1 - r^n)/(1 - r)

if |r| > 1, Sn = a(r^n - 1)/(r - 1)

if r = 1, Sn = na

if r = -1, then Sn = a or 0 depending on if n is odd or even.

the sequence is in general

s1 = a

sn = sn-1 × r

in our case a = 5, r = -2.

so, what form of the formula do we need ?

|-2| = 2, and 2 > 1, so ...

S5 = 5(-2^5 ‐ 1)/(-2 - 1) = 5(-32 - 1)/-3 = 5×-33/-3 =

= 5 × 11 = 55

quick check, as the 5 terms are

5

-10

20

-40

80

and their sum is : 55

correct !

Answer:

a) 3:4

b) It is proportional because for the glacier advances 3 feet every 4 days in both January and February

Hope this helps!

Question: Write these numbers in order of size. Start with the smallest number. 3/7,41%, 0.45.

This is EASY! Here's your answer, hope it helps:

0.45, 3/7, 41%

Step-by-step explanation:

0.45 is first because it is the smallest percentile what i mean by this is anything with a point or anything with the number 0 comes first.... IF THE NUMBER 0 IS THE FIRST NUMBER OF THE NUMBER CHARACTERISTIC!

Why this is true? Well depending on your grade if you know your numbers... 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22... and so on. (You should know this if you are being asked this question). The rest are as simple as this.

3/7 comes next (the second highest number). How i know this is by reviewing the number chart listed above coming as the third highest number starting from 1 (1, 2, 3)

Lastly 41% is the last number/percentile. Which in conclusion on the number chart, YES! you cant find it because i stoped at number 22 and for your correct answer the number 41 is 19 numbers away from 22 which gives me the answer that the correctness to this question and format would be that 41% is the last number to this question.

If you have any more question over why i found this to be the correct answer please ask i will be glad to assist you. Thank you and have a great day!

Answer:

41%, 3/7, 0.45

Step-by-step explanation:

41% = 0.41

3/7 = ~0.43

0.45 =...0.45

I think there are 4 answers but you missed one when typing your question.

The graph of the function \(f(x) = (9/4)x^2\) is a symmetric upward-opening parabola.

Overall, the graph represents a quadratic function with a positive leading coefficient, resulting in an upward-opening parabolic curve. The graph has been attached.

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Total number of people = 500

Let X denote the universal set.

Then n(X) = 500

Number of people who like tea = 285

Let T denote the number of people who like tea.

Then n(T) = 285

Number of people who like coffee = 195

Let C denote the number of people who like coffee.

Then n(C) = 195

Number of people who like lemon juice = 115

Let L denote the number of people who like lemon juice.

Then n(L) = 115.

We are given that the number of people who like tea and coffee is 45.

⇒ n(T ∩ C) = 45

We are also given that the number of people who like tea and juice is 70.

⇒ n(T ∩ L) = 70

Also, given that the number of people who like juice and coffee is 50.

⇒ n(L ∩ C) = 50

Given that 50 people do not like any drinks.

⇒ n(T U C U L)' = 50

n(T U C U L)' = n(X) - n(T U C U L)

⇒ 50 = 500 - n(T U C U L)

⇒ n(T U C U L) = 500 - 50 = 450

⇒ n(T U C U L) = 450

We have to find out how many people like all three drinks.

That is to find: n(T ∩ C ∩ L)

n(T U C U L) = n(T) + n(C) + n(L) - n(T ∩ C) - n(C ∩ L) - n(L ∩ T) + n(T ∩ C ∩ L)

⇒ 450 = 285 + 195 + 115 - 45 - 50 - 70 + n(T ∩ C ∩ L)

⇒ 450 = 595 - 165 + n(T ∩ C ∩ L)

⇒ 450 = 430 + n(T ∩ C ∩ L)

⇒ n(T ∩ C ∩ L) = 450 - 430

⇒ n(T ∩ C ∩ L) = 20

Therefore, the number of people who like all three drinks is 20.

Also, we need to find how many people like only one drink.

That is to find the sum: S = n(T only) + n(C only) + n(L only)

n(T only) = n(T) - n(T ∩ C) - n(L ∩ T) + n(T ∩ C ∩ L)

⇒ n(T only) = 285 - 45 - 70 + 20

⇒ n(T only) = 285 - 115 + 20

⇒ n(T only) = 170 + 20

⇒ n(T only) = 190

n(C only) = n(C) - n(T ∩ C) - n(L ∩ C) + n(T ∩ C ∩ L)

⇒ n(C only) = 195 - 45 - 50 + 20

⇒ n(C only) = 195 - 95 + 20

⇒ n(C only) = 120

n(L only) = n(L) - n(L ∩ C) - n(T ∩ L) + n(T ∩ C ∩ L)

⇒ n(L only) = 115 - 50 - 70 + 20

⇒ n(L only) = 115 - 120 + 20

⇒ n(L only) = 135 - 120

⇒ n(L only) = 15

Therefore, S = n(T only) + n(C only) + n(L only)

⇒ S = 190 + 120 + 15

⇒ S = 325

Therefore the number of people who like only one drink is 325.

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Answer:

Step-by-step explanation:

310 is the answer.