Consider the function f(x) = 3x2 7x 2. what is the value of the discriminant? how many x-intercepts does this function have? what are the number of zeros for this function?

Answers

Answer 1

The value of the discriminant is 25, there are 2 x-intercepts does this function have and the 2 number of zeros for this function has.

How to find the value of discriminant?

The standard form of the quadratic equation is,

[tex]ax^2+bx+c=0[/tex]

Here,(a,b, c) is the real numbers and (x) is the variable.

For this equation, the discriminant value can be given as,

[tex]D=b^2-4ac[/tex]

The given quadratic function is,

[tex]f(x) = 3x^2 +7x+ 2[/tex]

Compare it with standard form, we get,

[tex]a=3\\b=7\\c=2[/tex]

Thus, the value of discriminant is,

[tex]D=(7)^2-4(3)(2)D=49-24\\D=25[/tex]

The value of discriminant is positive. Thus, the quadratic equation has two real solution and 2 zeros.

Hence, the value of the discriminant is 25, there are 2 x-intercepts does this function have and the 2 number of zeros for this function has.

Learn more about the discriminant here;

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Answer 2

Answer:

The value of the discriminant is 25, there are 2 x-intercepts does this function have and the 2 number of zeros for this function has.

How to find the value of discriminant?

The standard form of the quadratic equation is,

Here,(a,b, c) is the real numbers and (x) is the variable.

For this equation, the discriminant value can be given as,

The given quadratic function is,

Compare it with standard form, we get,

Thus, the value of discriminant is,

The value of discriminant is positive. Thus, the quadratic equation has two real solution and 2 zeros.

Hence, the value of the discriminant is 25, there are 2 x-intercepts does this function have and the 2 number of zeros for this function has.

Learn more about the discriminant here;

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Step-by-step explanation:


Related Questions

1000 is divided by 100 and anwers is 10 but how can explain someone easy way

Answers

I hope that I helped ;D

I need help please!!!

Answers

Answer:

Step-by-step explanation:

Part E

Using the dimensions from part D, find the area of each simple shape. Do this for all your decompositions (sets of shapes).

Answers

Answer:

What type of question is this

Answer:

The area of a rectangle is given by A = l × w, where l is the length and w is the width.

The length (l) and width (w) of the small rectangle are 14 feet and 6 feet, respectively, so the area of the small rectangle (As) is:

AS  =  14 ft. × 6 ft.

= 84 sq. ft.

The length (l) and width (w) of the large rectangle are 20 feet and 7 feet, respectively, so the area of the large rectangle (Al) is:

Al  =  20 ft. × 7 ft.

= 140 sq. ft.

The area of a triangle is given by , where b is the base and h is the height of the triangle.

The base and height of the triangle both measure 6 feet, so the area of the triangle (At) is:

   ft.  ft.

  sq. ft.

  sq. ft.

Step-by-step explanation:

7,14,21,28,35, __
Which sentence about the missing number in the Pattern is true?
The missing number ends with a 5.
The missing number is a Multiple of 10.
The missing number is a odd number.
The missing number is a even number.

Answers

Answer:

the patters is that they are multiple of 7.. so next number is 42.

which means option D The missing number is even is correct..

Dumpster #1 contains 45 fewer molded vegetables than dumpster #2. Dumpster #2 contains 80 fewer molded vegetables than dumpster #3. If there are 236 molded vegetables in all the dumpsters combined, how many vegetables are in dumpster #1?

Answers

Answer:

22 vegetables

Step-by-step explanation:

Set the #number of molded vegatables in dumpster 1 as X

The number of molded vegetables in 2 is x + 45 and the number of molded vegies in 3 is x + 45 + 80

x + x + 45 + x + 45 + 80 = 236 (combine similar terms)

         Thats 3x = 66

Which equas 22

Pls help i will give brainliest

Answers

Answer:

i think 31

Step-by-step explanation:

What is the question asking here ?

The vertices of a right triangle are p(-3,4), q(-3,-4) and r (7,-4). Explain algebratically whether or not (2,0) is on the side of the triangle.

Answers

Algebraically, it was possible to show that the point (2,0) is on the side (PR) of the given triangle.

RIGHT TRIANGLE

A triangle is classified as a right triangle when it presents one of your angles equal to 90º.  In this triangle from the trigonometric ratios or the Pythagoras Theorem ([tex](hypotenuse)^2=(side_1)^2+(side_2)^2[/tex]), it is possible finding angles or sides.

The question gives the points for a right triangle, you can draw the triangle, see the attached image. From the figure, it is possible to see the lengths for the sides PQ=8 and QR=10.

Linear Equation

A linear function can be represented by a line. The standard form for this equation is: ax+b , for example, y=2x+7. Where:

a= the slope. If

a> 0 , the function is increasing; a< 0 , the function is decreasing;

b=the constant term that represents the y-intercept.

The slope for the line PR can be calculated from the ratio between the side PQ and QR.

[tex]a=\frac{PQ}{QR}=\frac{4-(-4)}{(-3-7)}=\frac{8}{-10} =-0.8[/tex]

From the attached figure, it is possible to see that the y-intercept is (2,0). Therefore, the given point is on the side PR, but the question asks to show this algebraically.

From the Standard form (ax+b), the equation for the line PR will be:                      y=- 0.8x+b. After that, you should replace the coordinates of the given point P (-3,4) in the equation line:  y=-0.8x+b for finding b.

4=-0.8*(-3)+b

4=2.4+b

b=4-2.4= 1.6

Then, the equation line y=-0.8x+1.6.

Now you should replace the x-coordinate for the point (2,0) in the equation  y=-0.8x+1.6.

y=-0.8*2+1.6

y=-1.6+1.6

y=0

The calculated y-coordinate is the same the y-coordinate for the point (2,0), thus the point (2,0) is on the side of the triangle.

Read more about the linear equation here:

brainly.com/question/12242745                                        

NEED HELP!! WILL GIVE BRAINLIEST!! PLEASE COMPLETE BOTH!

Answers

Answer:

[tex]10 \frac{5}{6}\\\\5 \frac{5}{6}[/tex]

Step-by-step explanation:

[tex]5 \times 2 \frac{1}{6} \\ \\ = 5 \times \frac{13}{6} \\ \\ = \frac{65}{6} \\ \\ = 10 \frac{5}{6} \\ \\ \\ 3 \frac{1}{2} \times 1 \frac{2}{3} \\ \\ = \frac{7}{2} \times \frac{5}{3} \\ \\ = \frac{35}{6} \\ \\ = 5 \frac{5}{6} [/tex]

Consider the first radical :

[tex]{:\implies \quad \sf 5\times 2\dfrac16}[/tex]

Using the properties of mixed fraction, writing the mixed fraction as an improper fraction, we will be having

[tex]{:\implies \quad \sf 5\times \bigg(\dfrac{6\times 2+1}{6}\bigg)}[/tex]

[tex]{:\implies \quad \sf 5\times \bigg(\dfrac{12+1}{6}\bigg)}[/tex]

[tex]{:\implies \quad \sf 5\times \dfrac{13}{6}}[/tex]

[tex]{:\implies \quad \sf \dfrac{65}{6}}[/tex]

[tex]{:\implies \quad \boxed{\bf{10\dfrac56}}}[/tex]

Hence, Option D) is correct

Now, coming to the 2nd question :

[tex]{:\implies \quad \sf 3\dfrac{1}{2}\times 1\dfrac{2}{3}}[/tex]

[tex]{:\implies \quad \sf \bigg(\dfrac{3\times 2+1}{2}\bigg)\times \bigg(\dfrac{3\times 1+2}{3}\bigg)}[/tex]

[tex]{:\implies \quad \sf \bigg(\dfrac{6+1}{2}\bigg)\times \bigg(\dfrac{3+2}{3}\bigg)}[/tex]

[tex]{:\implies \quad \sf \dfrac{7}{2}\times \dfrac{5}{3}}[/tex]

[tex]{:\implies \quad \sf \dfrac{35}{6}}[/tex]

Now, Rewriting this improper fraction as mixed fraction, we will be having :

[tex]{:\implies \quad \boxed{\bf{5\dfrac56}}}[/tex]

Hence, Option C) is correct

A parallelogram originally has an area of 47 square inches. Find its new area if its base
is one-fourth times as long and its height is twice as long.

PLS HELP ME!! WILL GIVE LOTS OF POINTS AND GIVE BRAINLIEST!

Answers

Answer:

23.5

Step-by-step explanation:

So this is a parallelogram so the area formlula is b*h=47? That's a no go. It is saying that if the base is 1/4th and the height is increasing by 2 so basically 1/4b*2h=1/2bh bh so it will be represented as 47 so 1/2*47=23.5

What is the value of the one in 45.12

Answers

Answer:

Step-by-step explanation:

1 is in the tenth place

[tex]\sf 1's \ value = \dfrac{1}{10}[/tex]

PLSSS HELP IF YOU TURLY KNOW THISS

Answers

Answer:

its A

Step-by-step explanation:

8-3=5 and 9/10-4/10=5/10=1/2

Answer:

A. 5 1/2

Step-by-step explanation:

[tex]8\frac{9}{10}-3\frac{4}{10}\\\text{Convert the mixed numbers into improper fractions.}\\(\frac{80}{10}+\frac{9}{10})-(\frac{30}{10}+\frac{4}{10})\\\text{Combine the fractions.}\\\frac{89}{10}-\frac{34}{10}\\\text{Since the denominators are the same, simply subtract the numerators.}\\\frac{89-34}{10}\\\frac{55}{10}\\\text{Split the fraction into two so one part becomes a whole number.}\\\frac{50}{10}+\frac{5}{10}\\\text{Evaluate 50 over 10.}\\5+\frac{5}{10}\\\text{Simplify the fraction 5/10.}\\[/tex]

[tex]5+\frac{5/5}{10/5}\\5+\frac{1}{2}\\\text{Combine the mixed number.}\\5\frac{1}{2}[/tex]

Emily bought 28 flowers and divided them equally into 4 bouquets. How many flowers are in each bouquet?

Answers

there will be seven flowers in each bouquet

GUYS PLEASE HELP ME I NEED TO FINISH THIS

Answers

The answer is B you’re welcome

what is the interest rate (as a percent)

Answers

Answer:

I didn't understood your question. But,

Formula to find rate of interest=

100/T

how can i write this in a calculator?

Answers

Answer:

2.13

Step-by-step explanation:

cos 62⁰=10/x=0.47

x=10/0.47≈2.13

help me out please look at photo

Answers

Answer:

seek god

Step-by-step explanation:

dang maybe the 2nd one

Calculate the area of the trapezoid. Use paper to show your work. The figure is not drawn to scale.
12 cm
12 cm
21 cm
The area of the trapezoid is how many cm?

Answers

The area of a trapezium with the given dimensions is: 198 cm²

What is the Area of a Trapezium?

Area of a trapezium = 1/2(a + b)h, where h is the heght of the trapezium and a and b are the length of its bases.

Given the following:

a = 12 cmb = 21 cmh = 12 cm

Area of a trapezium = 1/2(12 + 21)12

Area of a trapezium = 198 cm²

Learn more about the area of trapezium on:

https://brainly.com/question/1463152

Tamora just made the last of her monthly payments on her loan. she had been making these payments for the past nine years. the loan had a principal of $10,675 and an interest rate of 4.75%, compounded monthly. in addition, tamora paid $939.25 in service charges. what was tamora’s total finance charge? round all dollar values to the nearest cent. a. $939.25 b. $11,614.25 c. $3,403.53 d. $2,464.28 please select the best answer from the choices provided a b c d

Answers

Tamora’s total finance charge was $3,403.53 if Tamora paid in addition of $939.25 in service charges option (c) is correct.

What is compound interest?

It is defined as the interest on the principal value or deposit and the interest which is gained on the principal value in the previous year.

We have:

Principal amount(Loan principal) = $10,675

Interest rate  = 4.75 %

Monthly rate = 4.75/12% ⇒0.39583% ⇒ 0.00395

Additional amount she paid in service charge = $939.25

Number of months = 9×12 = 108 months

We can find the total finance charge as follows:

Finance charge = Total amount repaid +service charge - Loan principal

The formula for the monthly payment of the loan is given by:

[tex]\rm Monthly \ payment = \frac{Loan \ principal }{\frac{(1-(1+r)^-^n)}{r} }[/tex]

[tex]\rm Monthly \ payment = \frac{10675}{\frac{(1-(1+0.00395)^-^{108})}{0.00395} }[/tex]    

After calculating, we get:

Monthly payment = $121.66

For 108 months, Tamora paid:

= 121.66×108

= $13,139.23

The finance charge will be:

= $13,139.23+$939.25-$10,675

= $3,403.53

Thus, Tamora’s total finance charge was $3,403.53 if Tamora paid in addition of $939.25 in service charges option (c) is correct.

Learn more about the compound interest here:

brainly.com/question/26457073

Find the Circumference.​

Answers

Answer:

1.

r = 12 m.

d = 24 m.

circumference: 75.36 m² or 24π m²

2.

r = 10 cm.

d = 20 cm.

circumference: 62.8 cm² or 20π cm²

3.

r = 4 dm.

d = 24 dm.

circumference: 25.12 dm² or 8π dm²

Step-by-step explanation:

Circumference of a circle: 2πrπ (pi) = 3.14r (radius) = d/2d (diamater) = 2r

Substitute the the values of the table into the formula:

1.

r = 12 m.

d = 24 m.

circumference: 75.36 m² or 24π m²

2πr

2 * 3.14 * 12

3.14 * 24

75.36 m² or 24π m² <== circumference

12 * 2 = 24 m <== diameter

2.

r = 10 cm.

d = 20 cm.

circumference: 62.8 cm² or 20π cm²

r = 20/2 = 10 cm <== radius

2πr

2 * 3.14 * 10

3.14 * 20

62.8 cm² or 20π cm² <== circumference

3.

r = 4 dm.

d = 24 dm.

circumference: 25.12 dm² or 8π dm²

2πr

2 * 3.14 * 4

3.14 * 8

25.12 dm² or 8π dm² <== circumference

4 * 2 = 8 dm <== diameter

Hope this helps!

how many solutions do the following systems have
{0.5x-3/4y=7
:5.6-2/5x=-0.6y

Answers

Answer:

Step-by-step explanation:

I think the answer is 0-1, but i will have to see the answers to determine.

Hope it helps!

15. If a=3 and b= -2, find the values of:
(i) a^a + b^b
ii) a^b + b^a

Answers

Answer:

Step-by-step explanation:

(i) a^a + b^b

for a=3 and b= -2

3^3 + -2^(-2)

          -2^(-2) = -(1/2^2)

3^3  -(1/2^2)

27 - (1/4)

26 3/4

ii) a^b + b^a

a^b + b^a

for a=3 and b= -2

3^(-2) + (-2)^3

1/3^2 + (-2)(-2)(-2)

1/9 - 8

-7 8/9

In future just substitute the number in

Using pi as 3.14. what is the circumference of a circle with a radius of 3mm.

Answers

Answer:

18.84

Step-by-step explanation:

Circumference = 2 * PI * R

2 * 3.14 * 3 = 18.84

Angle K in △MKL is a right angle.

Answers

Hypotenuse= MLPerpendicular=KL=15Base= KM=8

By using Pythagoras theorem.

h²=p²+b²ML²=15²+8²ML²=225+64ML=√289

Therefore ML= 17...

Step-by-step explanation:

Hope it helps....Mark me brilliant


Which graph represents the solution of the system
[x2 + y2 = 4
[x-y=1

Answers

Answer:

its b

Step-by-step explanation:

just took the test

Answer:

Its C

Step-by-step explanation:

Have a good day!

Which equation is the inverse of 5 y 4 = (x 3) squared one-half? y = one-fifth x squared six-fifths x eleven-tenths y = 3 plus-or-minus startroot 5 x seven-halves endroot negative 5 y minus 4 = negative (x 3) squared minus one-half y = negative 3 plus-or-minus startroot 5 x seven-halves endroot

Answers

The inverse function of the function 5y + 4 = (x + 3)² + 0.5 is shown below. Then the correct option is D.

[tex]\rm y= \pm \sqrt{5x + \dfrac{7}{2}} - 3[/tex]

What is the inverse of a function?

Suppose that the given function is

[tex]f:X\rightarrow Y[/tex]

Then, if function 'f' is one-to-one and onto function (a needed condition for inverses to exist), then, the inverse of the considered function is

[tex]f^{-1}: Y \rightarrow X[/tex]

such that:

[tex]\forall \: x \in X : f(x) \in Y, \exists \: y \in Y : f^{-1}(y) \in X[/tex]

(and vice versa).

It simply means, the inverse of 'f' is a reverse operator, that takes back the effect of 'f'

The equation is given below.

[tex]\rm 5y + 4 = (x+3)^2 + \dfrac{1}{2}[/tex]

Then y will be

[tex]\rm 5y = (x+3)^2 + \dfrac{1}{2} - 4\\\\\rm y \ \ = \dfrac{(x+3)^2}{5} - \dfrac{7}{10}[/tex]

The replace y by x and x by y, then we have

[tex]\begin{aligned} x &= \dfrac{2(y+3)^2}{10} - \dfrac{7}{10}\\\\\dfrac{10x + 7}{2} &= (y + 3)^2 \\\\\sqrt{5x + \dfrac{7}{2}} &= y + 3\\\\y &= \pm \sqrt{5x + \dfrac{7}{2}} - 3 \end{aligned}[/tex]

More about the inverse function link is given below.

https://brainly.com/question/2541698

Answer: D

Step-by-step explanation:

The 2022 Russian Invasion of Ukraine began due to the cause of the collapse of the Soviet Union, which was sped along by the independence of the baltic states in 1990. When Ukraine left the USSR in 1991 and gave it's nuclear weapons to Russia in 2006, it began clear that Ukraine needed to be returned back into the hands of Moscow, before becoming another frontline for the NATO Army to invade the Russian Federation from the west, with more support from Japan in the east. Oh and I did the Edge test in 2022 so thats how I know it's D.

HELP ME PLEASE
My last question

Answers

Answer: 32c-1 is one of them

Step-by-step explanation:

Please help!!!

Let f be the function given by f(x) = x2.

Write an equation for the function g whose graph is the graph of f translated 3 units left and up 5 units.

Answers

Answer:

If it is x squrared the answer would be (x+3)²+5. If it is 2 times x then it would be (2x+3)+5

Step-by-step explanation:

Can someone help me with this problem? It’s rlly hard

Answers

Answer:

4(5+8)

Step-by-step explanation:

The GCF of 20 and 32 is 4. Then you divide 20 and 34 by 4.

solve this problem correctly, and you will be my bff for life

Answers

The graph shown is the second derivative

   ⇒ first derivative equals the area between

          - the second derivative function from 0 to 2

          - the axis

Thus the first derivative f(2) equals [tex]8 + c[/tex]

c: represents the initial position

However there is an inital position for the first derivative ⇒ f(0) = 2.5

Therefore we must add the initial position to the first derivative found

  f(2) = 8 + 2.5 = 10.5

Hope that helps!

Find the area (please hurry if you are answering, due soon)

Answers

Area of the figure is 171 cm²

See the attachment......

Area of triangle:-

1/2(12)(19)6(19)114cm²

Area of square:-

7²49cm²

Area of rectangle:

5(3)15cm²

Total:-

15+49+114178cm²
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