find the quadratic equation given that the roots are 4 and 7​

Answers

Answer 1

Answer: {−4,7} is y=x2−3x−28 y = x 2 - 3 x - 28 .

Step-by-step explanation: so all ways do y and x first


Related Questions

A Baker bakes 360 cookies he packs equally in 4 boxes how many cookies are in each box

Answers

Answer:

90 cookies in each box

Step-by-step explanation:

360  : 4 = 90

Which number is irrational?
√121
√25
√3
√16


Will mark brainliest if you explain

Answers

Answer:

hope this helps

16 is rational 3 is irrational 25 is rational and 121 is irrational

Step-by-step explanation:

Mr jones has a square that measures 10 feet on each side. He decides to expand the garden by expanding each day by x. Find the expression in standard form thay represents the area of the new expanded garden.

the expression in standard form that represents the area of the new expanded garden is_______. ​

Answers

Key Concepts

Area of a Rectangle

Formula: [tex]A=lw[/tex] where l is the length and w is the width

Whenever we modify any of the side lengths, as in make them longer or shorter, we simply add or subtract from l or w.

Standard Form

When a quadratic equation is organized in standard form, it follows the following format:

[tex]y=ax^2+bx+c[/tex] where a, b and c are numbers

In standard form, all the terms have been simplified and there are no parentheses to expand.

Solving the Question

We're given:

Square garden has measurements of 10 ft by 10 ftWe're expanding each side by xWe must find the area of the garden in standard form

If we're expanding each side by x, we're simply adding x to each side length:

10 ft by 10 ft ⇒ (x + 10) ft by (x + 10) ft

Now to find the area, we can use the area formula:

[tex]A=(x+10)(x+10)[/tex]

This expression can be simplified as l = w:

[tex]A=(x+10)^2[/tex]

Putting it into standard form:

We can do this by expanding the parentheses:

[tex]A=(x+10)^2[/tex]

⇒ Because this is a perfect square, we can use the following rule to help us expand this equation:

[tex](a+b)^2=a^2+2ab+b^2[/tex]

[tex]A=x^2+20x+100[/tex]

Answer

Therefore, the expression in standard form that represents the area of the new expanded garden is [tex]x^2+20x+100[/tex].

What is the length of DE?

Answers

Answer:

C•9

could be the answer of your question?

can anyone send a screenshot of how many followers I have??? cause I cant see it
I will give thanks and mark brainliest..remember show screenshot..

Answers

You have 14 Followers :0

The circumference of a circle is 15 meters. Find the area. Use 3. 14 for π. What is the value of the radius rounded to the nearest tenth? What is the approximate area of the circle rounded to the nearest tenth? m2.

Answers

Answer:

2m²

Step-by-step explanation:

radius = circumference ÷ ( Pi ×2)

r = 15 ÷ ( 3.14 × 2)

= 2.388535032

rounded off = 2m²

NEED HELP ASAP!!! PLEASE!!!

1.) Daniel stands on one side of a stream that is 400 feet wide. He wants to reach his campsite that is 1600 feet downstream on the opposite side. He decides he will swim to the boat ramp on the opposite side, which is part way downstream toward the campsite, then jog the rest of the way. The angle formed by Daniel’s swim path and the shore at the boat ramp is.
Draw a labeled diagram of the scenario.
Answer: ?

2.) Daniel can swim at an average rate of 150 feet per minute. How many minutes does it take him to swim to the boat ramp? Round your answer to the nearest hundredth.
Answer: ?

3.) How far is the boat ramp from the campsite? Round your answer to the nearest hundredth.
Answer: ?

4.) Daniel can jog at 4 miles per hour. How many minutes does it take him to jog from the boat ramp to the campsite? Round your answer to the nearest hundredth.
Answer: ?

5.) Daniel arrives at his campsite out of breath from his swim and jog. His sister tells him that he should have swam to the boat ramp that is only 200 feet from the campsite and then jogged. She claims that he would have arrived quicker this way.
Is Daniel’s sister correct? Support your answer mathematically.
Answer: ?


(Please please do not answer if you aren't 100% sure of the answer!!)

Answers

From Daniel's initial location from the campsite given the width of the

stream is 400 feet and Daniel swims to the boat ramp, we have;

1.) Please find attached the drawing of the situation

2.) 3.34 minutes

3.) 1,298.59 feet

4.) 3.69 minutes

How can the distances and times be calculated?

1.) Please find attached a labelled diagram of the scenario created with MS Visio

2.) Daniel's average swimming rate (speed) = 150 feet per minute

[tex]The \ distance \ Daniel \ swims = \mathbf{\dfrac{400 \, feet}{sin(53^{\circ})}} \approx 500.85 \, feet[/tex]

The time it takes him to swim to the boat ramp, t, is therefore;

[tex]t \approx \dfrac{500.85 \ feet}{150 \ feet/min} \approx \underline{3.34 \ minutes}[/tex]

3.) The distance, d₁, downstream of the boat ramp from Daniel is given as follows;

d₁ = √((500.85 feet)² - (400 feet)²) ≈ 301.41 feet

Therefore;

The distance from the boat ramp to the campsite, d₂, is therefore;

d₂ ≈ 1600 feet - 301.41 feet = 1,298.59 feet

The distance from the boat ramp to the campsite, d₂ ≈ 1,298.59 feet                              

4. The time, t₂, it will take Daniel to jog from the boat ramp to the campsite is given as follows;

[tex]t_2 = \mathbf{\dfrac{d_2}{v_2}}[/tex]

Where;

v₂ = The rate at which Daniel can jog, which is 4 mph

Which gives;

[tex]t_2 = \mathbf{\dfrac{1298.59 \, feet}{4 \, mph}} = \dfrac{1298.59 \, feet}{4 \, mph} \approx \dfrac{1298.59 \, feet}{5.866142 \ feet/s} \approx \dfrac{221.37 \, s}{60 \, s/min} \approx 3.69 \, min[/tex]

Therefore;

The time it takes him to jog from the boat camp to the campsite, t₂ ≈ 3.69 minutes

Learn more about Pythagorean theorem here:

https://brainly.com/question/11256912

A comparison of the measures of central angles and inscribed angles of circles to their intercepted arcs are listed in the tables below. Based on the data in the tables, which conjecture about inscribed and central angles is true?.

Answers

A central angle means an angle that is at the center of a circle and whose legs are intersecting the circle.

What is a central angle?

Your information is incomplete as the data is not given. Therefore, an overview will be given.

Central angles are shaped by an arc between the two points. When a central angle and the inscribed angle intercept the same arc, then the central angle would be the double of the inscribed angles while the inscribed angle will be half of the central angle.

Learn more about central angle on:

https://brainly.com/question/19758686

20 POINTS!! What would be the first step to solve this equation?
m - 13 = 24

A. Subtract 13 from both sides
B. Add 24 to both sides
C. Add 13 to both sides
D. Divide by 13 on both sides

Answers

Answer:

C. Add 13 to both sides of the equation.

Step-by-step explanation:

Note the equal sign, what you do to one side, you do to the other. Isolate the variable, m. Add 13 to both sides of the equation:

m - 13 = 24

m - 13 (+13) = 24 (+13)

m = 24 + 13

m = 37

~

PLEASE HELP BRAINLIEST
the table below shows the salary that ellen earned at her job based on her years of experience.

Which explicit formula can be used to determine the salary, f(n), that Ellen earned with n years of experience?

A: f(n)=4,350n+31,900
B: f(n)=4,350n+14,500
C: f(n)=725n+31,900
D: f(n)=725n+29,009

Answers

Answer:

Step-by-step explanation:

Find the difference between year 4 and year 5 salary.

32,625 - 31,900 = 725 (rate of change)

Multiply 4 x 725 then subtract that number from 31,900 to find out base salary

4x 724 = 2900

31,900 - 2,900 = 29,000

That's the constant.

So,

f(n) = 725n + 29,000

i need some help here, 20 points

Answers

Answer:

0+9=9 is identity property

(2+8)+3=2+(8+3) is associative

8+6=6+8 is commutative property

Step-by-step explanation:

Whats the value of 8

Answers

Answer:

value of a is 14

Step-by-step explanation:

How many solutions does the nonlinear system of equations graphed below
have?

Answers

Answer:

Step-by-step explanation:

only one solution.

What would the measurement be of an edge of a square poster that has a area of 625square ft?

Answers

Answer:

25

Step-by-step explanation:

Area is found by doing two length x width. Because ethics is a square all side lengths are equal. Therefore I did the square root of 625 in order to determine what 2 numbers (length and width) would be multiplied by each other to get 625. Hope this helps

15. If two complementary angles measures (2x+10°and (x + 20°. Find the value of x? A. 500 B. 40° C.300 D. 20° ​

Answers

Answer: D

Step-by-step explanation:

please help ill give brainliest

Answers

Answer:

[tex]\sf A . \sf \frac{3}{-7}[/tex]

[tex]\sf E. \sf -( \frac{-3}{-7} )[/tex]

This above options makes the expression true.

The negatives above can be distributed up as well, which happened in A.In E, when the negatives inside the bracket cancels out, the negative outside the brackets multiplies and makes the expression true.In B the expression turns positive, thus false same happens with C and D

Find the distance across the lake. Assume the triangles are similar.

A. 190 m
B. 235 m
C. 210 m
D. 490 m​

Answers

Answer:

210

Step-by-step explanation:

20 * 3 = 60

since the trianlges are similar we know that

70 * 30 =210

Suppose you are saving money to buy a digital video camera that costs $340. You have already saved $120 and plan to save $20 each week. How many weeks will you need to save?​

Answers

Answer:

11 weeks

Step-by-step explanation:

340 - 120 = 220

220/20=11

If LMN = XYZ, which congruences are true by CPTC? check all that apply.

Answers

Answer:

ML Congruent YX

Step-by-step explanation:

You have chosen the correct answers

but , also ML Congruent YX

The sides of a triangle measure 31 inches, 22 inches, and 17 inches. What is the area of the triangle? Round intermediate results to 3 decimal places and the final answer to 1 decimal place. The area of the triangle is?

Answers

Answer: 181 square inches

Step-by-step explanation:

SOMEONE HELP PLEASE AWNSER HONESTLY!!!

Answers

Answer:

C. -2n+3/n-4

Step-by-step explanation:

(n^2+10n+21)/(n^2+3n-28)-(3n/n-4)

(n^2+7n+3n+21)/(n^2+7n-4n-28)-(3n/(n-4)

(n(n+7)+3(n+7))/(n(n+7)-4(n+7))-(3n/n-4)

((n+7)(n+3)/(n+7)(n-4))-(3n/n-4)

(n+3/n-4)-(3n/n-4)

n+3-3n/n-4

-2n+3/n-4

find the slope of a line that passes through the points (-2,-6) and (3,-10)

Answers

Your answer will be, m=-4/5

The correct answer is -4/5 using the slope formula.

Every 15 minutes, Darla hiked one mile. How long will it take Darla to hike 6 miles?

Answers

Answer:

90 minutes or 1 1/2 hours

Step-by-step explanation:

One mile = 15 minutes

6 x 1 miles = 15 x 6 minutes

6 miles = 90 minutes or 1 1/2 hours


In 7 years' time the combined age of my sister and her three
children will be 92. What will it be in 4 years' time?

Answers

Answer:

not sure maybe 112 or 115 ???

Step-by-step explanation:

im not that sure sorry

In 7years time:
50+15+14+13= 92

In 4years time:
47+12+11+10= 80

What is the sale price for a beach umbrella with a regular price of $43.59 which is on sale for 20% off?

Answers

Answer:

$34.87

Step-by-step explanation:

20% of $43.59

[tex]\frac{20}{100} X \frac{43.59}{1}[/tex] = [tex]\frac{1}{5} X \frac{43.59}{1}[/tex] = [tex]\frac{43.59}{5}[/tex] = $8.718

Therefore the price is, $43.59 - $8.718 = $34.87

Answer:

The answer is $34.87

Step-by-step explanation:

$43.59- 8.72=$34.87

20% of $43.59 is $8.72

So, your answer will be $34.87

$43.59- 8.72=$34.87

Hope this help you also have an Amazing Day!!

Solve the algebraic expressions below
1. 3x + 7x =
2. ( 2x - 3 ) ( 5 - 3x ) =
3. 4 ( x - 3 ) + ( x - 5 ) ( x + 1 ) =

Answers

Brainliest plss!
Have a good day :)

Simplify the expression below. 12x+4−7x

Answers

Answer:

5x+4

Step-by-step explanation:

Combine like terms: 12x+4-7x

Notice that the 7 is being subtracted, as it's negative

12x+4−7x

5x + 4

answer is 5x + 4

Solve for X. I am stuck on this question

Answers

Answer:

143

Step-by-step explanation:

The shape on the right is scaled up by 13. 91/7 = 13 and 52/4 = 13

So we multiply 11*13 to get 143.

I hope this helped <3

Tina's family buys 4 cheeseburgers and 3 orders of fries for $7. 25. Louise's family buys 6 cheeseburgers and 3

orders of tries for $9. 75. What is the total cost of 1 cheeseburger and 1 order of fries?

Answers

Answer:

$2

Step-by-step explanation:

A burger is $1.25 and fries are .75c

Blossom corporation recently reported an EBITDA of $29. 3 million and net income of $9. 7 million. The company had $6. 9 million interest expense, and it's average corporate income tax rate is 35 percent. What is it's deprecriation and amortorization expense?

Answers

Ano ba sa Ano ang gusto
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