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[tex] \huge \: Answer࿐[/tex]

The values are :

Step-by-step explanation:

The solutions of the related quadratic equation are -1.5 and -3

To summarize, the true statements are:

(b) The function has two roots.

(d) The related quadratic equation has two solutions.

ax²+bx+c=0, with a not equal to 0 is a quadratic equation, which is a second-order polynomial equation in a single variable. It has at least one solution because it is a second-order polynomial equation, which is guaranteed by the algebraic fundamental theorem. The answer could be simple or complicated.

To determine which statements about the quadratic function that passes through (1,0) and (3.5,0) are true, we need to use the fact that the roots (or x-intercepts) of a quadratic function can be found by solving the related quadratic equation, which is obtained by setting the function equal to zero.

Let's start with a statement (a). Plugging in the two points given into the equation y = 2x^2 - 9x + 7, we get:

At x = 1, y = 2(1)^2 - 9(1) + 7 = 0

At x = 3.5, y = 2(3.5)^2 - 9(3.5) + 7 = 0

This confirms that points (1,0) and (3.5,0) are indeed on the graph of the function, but it doesn't tell us whether this is the only function that passes through those points. So statement (a) alone is not sufficient to determine the true statements.

Next, let's consider statement (b). Since the graph passes through (1,0) and (3.5,0), we know that it must cross the x-axis at those two points. Therefore, the function has two roots or x-intercepts. Statement (b) is true.

Moving on to statement (c), we need to find the solutions of the related quadratic equation. Setting y = 2x² - 9x + 7 equal to zero, we get:

2x² - 9x + 7 = 0

Using the quadratic formula, we find that the solutions are:

x = (9 ± √(9² - 4(2)(7))) / (2(2)) ≈ 2.5 and ≈ 1.75

Therefore, statement (c) is false.

Finally, statement (d) asks whether the related quadratic equation has two solutions. We just found that it has two solutions, so statements (b) and (d) are true.

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For a graphed line to be a function it needs to pass the vertical line test.

If a vertical line goes through the graphed line in more than one x axis then it is not a function.

 Using the given point (-1,2) drawing a vertical line at X = -1, you can see the other vertical line goes through the graphed line at point  (-1,0)

Answer: (-1,0)

Answer:

Step-by-step explanation:

5x =2x+9(corresponding angles are always equal)

5x-2x=9

3x=9

x=9/3

x=3

Answer:

12z if thats wrong lmk

Step-by-step explanation:

Answer:

3+4i

Step-by-step explanation:

let x be the answer

(3-4i)x=25

x=25/(3-4i)

multiply by the conjugate

x=(25(3+4i))/25

x=3+4i

Step-by-step explanation:

solution

2/7 of 3/4= 2/7×3/4=

(2×3)/ (7×4)

Ans = x= 3+4i

Answer:

one point zero three two four or one and three hundred twenty-four ten-thousandths

Step-by-step explanation:

Answer:

6√3

Step-by-step explanation:

√108= √(36×3)

√36×√6= 6×√3

=6√3

Answer:

2,351,000

Step-by-step explanation:

closest to the volume in cubic feet

Answer:

j= -10/3

Step-by-step explanation:

j - 2 + 7 = - 12 - 2j + 7

*add -2 and 7 to get 5

j + 5 = -12 - 2j + 7

*add -12 and 7 to get -5

j + 5 = -5 - 2j

*add 2j to both sides

3j + 5 = -5

*subtract 5 from both sides

3j = -10

*divide both sides by 3

j= -10/3

Answer:

(0.30, 0.42)

Step-by-step explanation:

i took the test :)

Answer:

it is 4

Please Mark Brain list answer

Hope it helps you.

Answer:

4

Step-by-step explanation:

2 8 12 20

2 4 6 10

2 3 5

:2*2=4

Step-by-step explanation:

Apr=Annual × percentage× rate

7years × 12% × $300

= 36000.

The present value of the annuity will be $135.

The current value of a certain amount in the future by methods of charging compounded interest is known as present value. By using the given information, the present value can be calculated as,

[tex]\rm Present\ Value= FV\ x\ \dfrac{1}{(1+r)^n}\\\\\rm Present\ Value=300\ x\ \dfrac{1}{(1+0.07)^1^2}\\\\\rm Present\ Value=\$135.70[/tex]

Hence, the present value is calculated as above.

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Answer:

76cm^2

Step-by-step explanation:

Can be divided in three parts

Part 1; Area= 6×2

=12cm^2

Part 2; Area= 2×2

=4cm^2

Part 3; Area= 10×6

=60cm^2

Add them; 60+4+12

76

Answer:

area 1

10x6

=60

area 2

2x4

=8

area 3

2x4

=8

total area is 60+8+8

total area is 76m²

Answer:

Finding the area of a large rectangle is A = l × b

Step-by-step explanation:

A= Area, while I=length and B= the base, the way to find the area of the big one is by finding the area of the small ones first then adding them together,

Example: (a=lxb) + (a=lxb) = Area of big rectangle

Question is ;

Complete question is;

Boston , Massachusetts, and buffalo, New York, are hit by snowstorms that last 3 days . Boston accumulates snow at a rate of 1.5 feet every 36 hours. Buffalo accumulates snow at a rate of 0.01 inches every minute.

Which city accumulates more snow in 3 days? How much more snow?

Answer:

- Boston accumulates more snow in 3 days.

- It accumulates 0.6 ft of snow more than Boston

Step-by-step explanation:

Boston accumulates 1.5 feet of snow every 36 hours.

Number of hours in 3 days = 24 × 3 = 72 hours.

Thus, In 72 hours, Boston would have accumulated; (1.5 × 72)/36 = 3 feet of snow.

Now, Buffalo accumulates 0.01 inches of snow every minute.

In 3 days, number of minutes we have = 60 × 24 × 3 = 4320 minutes

Thus, total snow accumulated in 3 days = 0.01 × 4320/1 = 43.2 inches

Now, let's convert this to ft;

12 inches = 1ft

Thus; 43.2 inches = 43.2 × 1/12 = 3.6ft

Thus, Buffalo accumulates more snow in 3 days.

It accumulates 0.6 ft of snow more than Boston

Answer:

Lunar Eclipse

Step-by-step explanation:

Lunar eclipse is the phenomenon that occurs on the night of the full moon. During this phenomenon the Earth comes in between the Sun and the Moon. The Earth blocks the light of the Sun with which the Moon is visible to the people on the Earth. Lunar Eclipse is visible from the part of the Earth that is experiencing the night. The duration of the Lunar eclipse can be for two hours. The moon appears to be red because of the reflection of the Earth.

Answer:

The second dealer is better.

Step-by-step explanation:

3.8/2=   2.7/1.5=

3.8/2=1.9 (first vendor)   2.7/1.5=1.8 (second vendor) 1.8 is less than 1.9.

Answer:

Hi I really want to check my answer to this question, so if anyone could give it a try that would be very much appreciated!

Step-by-step explanation:

if this is wrogn sorry

Answer:

27

Step-by-step explanation:

First you need to find x.

It is shown that DE=EF, so we can use this.

5x-3=3x+7

5x=3x+10

2x=10

x=5

Then, you plug in the value of the variable and solve.

6(5)-3

30-3

27 = DF

Answer:

Option A

Step-by-step explanation:

Area of the composite figure = Area of ΔABH + Area of BCGH + Area of ΔDEF

Area of ΔABH = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]

                        = [tex]\frac{1}{2}(6)(8-5)[/tex]

                        = 9 in²

Area of the trapezoid = [tex]\frac{1}{2}(CG+BH)(\text{Distance between these lines})[/tex]

                                    = [tex]\frac{1}{2}(6+4)(5)[/tex]

                                    = 25 in²

Area of ΔDEF = [tex]\frac{1}{2}(8)(6)[/tex]

                       = 24 in²

Therefore, area of the given figure = 9 + 25 + 24

                                                          = 58 in²

Option A will be the correct option.

Answer:

the answe is 2^3

Answer:

See attachment for drawing

Step-by-step explanation:

Given

See attachment for sketch of plan

Required

Draw a scaled plan

From the question, the garden has the following dimensions.

5.5m, 5.5m, 4m and 2.5m

Using a scale of 1m : 50 cm units, the above measurements will be represented as:

[tex]5.5m \to \frac{5.5m}{50cm} \to \frac{5.5m}{0.5m} \to 11cm[/tex]

[tex]4m \to \frac{4m}{50cm} \to \frac{4m}{0.5m} \to 8cm[/tex]

[tex]2.5m \to \frac{2.5m}{50cm} \to \frac{2.5m}{0.5m} \to 5cm[/tex]

From the question, we understand that there will be 50cm space between the greenhouse and the edge.

On the scale drawing, this will be represented as:

[tex]50cm \to \frac{50cm}{50cm} \to 1cm[/tex]

From the question, the green house has the following dimensions.

2m, 2.5m

On the scale drawing, this will be represented as:

[tex]2m \to \frac{2m}{50cm} \to \frac{2m}{0.5m} \to 4m[/tex]

[tex]2.5m \to \frac{2.5m}{50cm} \to \frac{2.5m}{0.5m} \to 5m[/tex]

See attachment 2 for scale drawing

Answer:

A.) Cheaper Fertilizer is Quick Fertilizer

B.) The cheaper fertilizer now cost $ 61

Step-by-step explanation:

The exact question is as follows :

Given - Daija is looking to fertilize her 24,000 square foot lawn. Super Lawn fertilizer costs $18.49 and covers 6,000 square feet. Quick Fertilizer costs $23.99 and covers 8,000 square feet.

To find - A.) Which fertilizer would be cheaper for Daija to purchase to fertilize her entire lawn?-Show your work or explain your answer.

               B.) Daija has a 15% off coupon on the cheaper fertilizer. Excluding sales tax, what is the new cost of the fertilizer? Round to the nearest cent.

Proof -

A.)

Given that,

Total lawn that have to be fertilize = 24,000

Now,

Super Lawn fertilizer costs $18.49 and covers 6,000 square feet.

i.e.

6000 square feet = $ 18.49

⇒4×6000 square feet = $ 4×18.49

⇒24000 square feet = $ 73.96

∴ we get

Super Lawn costs $ 73.96

Now,

Quick Fertilizer costs $23.99 and covers 8,000 square feet.

i.e.

8000 square feet = $ 23.99

⇒3×8000 square feet = $ 3×23.99

⇒24000 square feet = $ 71.97

∴ we get

Quick Fertilizer costs $ 71.97

As we get

Super Lawn costs $ 73.96

Quick Fertilizer costs $ 71.97

As $ 71.97  < $ 73.96

So,

Cheaper Fertilizer is Quick Fertilizer

B.)

As we get from part a) that

Quick Fertilizer is cheaper and it costs $ 71.97

So,

15% of 71.97 = 10.7955

∴ we get

Now,

Quick fertilizer cost = $ 71.97 - 10.7955

                                 = $ 61.1745 ≈ $ 61

So,

After applying the 15% coupon,

The cheaper fertilizer now cost $ 61

Answer:

140 pi cm^3

Step-by-step explanation:

The volume of a cylinder is given by

V = pi r^2h

  = pi (10)^2 14

   = pi (100) 14

   = 140 pi cm^3

As the it's a sqaure pyramid, thus the formula we will use will be:

= 2 × b × s + b²

= 2 × 2 × 6 + 2²

= 4 × 6 + 4

= 24 + 4

= 28 cm²

And it's done..!

Answer:

1 inch =  3 feet

Step-by-step explanation:

A scale drawing is a reduced form in terms of dimensions of an original image / building / object

the scale drawing is usually reduced at a constant dimension

scale of the drawing = original dimensions / dimensions of the scale drawing

6 /2 = 3

1 in = 3 feet

Answer:

point S is (-2, 0) if that's what the question is asking for

Step-by-step explanation: