Given the polynomial f(x) = -4x2 + 5x + 7, what is the smallest positive integer a such that the Intermediate Value
Theorem guarantees a zero exists between 0 and a?

Answers

Answer 1

Answer:

here the smallest positive no be (0,-14)

Step-by-step explanation:

The computation is shown below:

Here we put the value of x as 0, 1,2, 3

And solve the polynomial

Given that

-4x^2 + 5x + 7

Now

x = 0

So,

= -4(0)^2 + 5(0) + 7

= 0 + 0 + 7

= 7>0

x = 1

= -4(1)^2 + 5(1) + 7

= -4 + 5 + 7

= 8>0

x = 2

= -4(2)^2 + 5(2) + 7

= -16 + 17

= 1>0

x = 3

= -4(3)^2 + 5(3) + 7

= -36 + 15 + 7

= -14>0

So, here the smallest positive no be (0,-14)


Related Questions

Given Find the area of figured one area of figure two area of figured three area of figure four area of the whole figure

Answers

Answer:

culeous

Step-by-step explanation:

because it gives particular figured area

\

What the person above me said. :)

Use the quadratic formula to find both solutions to the quadratic equation
given below.
3x2 - X+5 = 0

Answers

A and E
I’m pretty sure that’s correct!

A quadratic equation is written in the form of ax²+bx+c. The roots of the given quadratic equation are shown in options B and F.

What is a quadratic equation?

A quadratic equation is an equation whose leading coefficient is of second degree also the equation has only one unknown while it has 3 unknown numbers. It is written in the form of ax²+bx+c.

The roots of a quadratic equation can be found using the formula,

[tex]x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}[/tex]

Given the quadratic equation 3x²-x+5 = 0. Comparing it with the general quadratic equation the value of a, b, and c will be 3, -1, and 5.

Now, if we substitute the values in the formula of the roots of the quadratic equation,

[tex]x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}[/tex]

[tex]x = \dfrac{-(-1) \pm \sqrt{(-1)^2 - 4(3)(5)}}{2(3)}\\\\[/tex]

x = (1±√-59)/6

x = (1+√-59)/6, (1-√-59)/6

Hence, the roots of the given quadratic equation are shown in options B and F.

Learn more about Quadratic Equations here:

https://brainly.com/question/2263981

#SPJ2

Find the distance between the pair of points (-1, 4) and (-3, 7)

no links

Answers

Answer: d=sqrt(13)=3.605

Step-by-step explanation:

We know that the distance between the two points (x 1  ,y 1 ) and (x2,y  2 ) is

d= sqrt((x2-x1)^2 +(y2-y1)^2 )

as given

x1=-1 ,y=4 ,x2=-3,y2=7

d=sqrt((-3+1)^2+ (7-4)^2)

d=sqrt((-2)^2+(3)^2)

d=sqrt(4+9)

d=sqrt(13)=3.605

Tyler has a three-dimensional shape with a bottom layer of 12 cubic inches. What is the volume of this figure if it has 3 layers all together?

Answers

Answer:

1 Tyler=12in³

3 Tyler =12×3=36in³

Need help thanks don’t understand

Answers

Answer:

You need help with what-?

Plz hurry.....................

Answers

Answer:

It should be 115.2 meters^3

Step-by-step explanation:

Volume = 1/3 a^2h

             = 1/3 x 12^2 x 2.4

             = 115.2 m ^3

the ratio of hamburgers to hot dogs at the picnic is 25:10. If there are 100 hamburgers how many lunch itemd are there altogether?​

Answers

Answer:

140 lunch items

Step-by-step explanation:

The unit ratio is 5:2

So if we take that and multiply it by 20 we get 100:40. 100+40 is 140

Answer:

140

Step-by-step explanation:

well if there is 25 hamburgers to 10 hot dogs, than 25 times four is 100 and 10 times four is 40 so 140 but i dont know if i did it right

17. Find the value(s) of the variable(s). If necessary, round decimal answers to the nearest
tenth.
15
51
a x = 19.3, y = 12.1
b. x 23.8, y = 18.5
C. x = 12.1, y = 19.3
d. x = 18.5, y = 23.8

Answers

Answer:

C.

Step-by-step explanation:

The answer should be less than 15 for x since its the smallest side and C is the only answer that has that.

find area and perimeter

Answers

Answer: The simplest (and most commonly used) area calculations are for squares and rectangles. To find the area of a rectangle, multiply its height by its width. For a square you only need to find the length of one of the sides (as each side is the same length) and then multiply this by itself to find the area.

Step-by-step explanation:

A fitness instructor measured the heart rates of the participants in a yoga class at the conclusion of the class. The data is summarized in the histogram to the right. There were fifteen people who participated in the class between the ages of 25 and 45. Use the histogram to answer the question. What is the approximate percentage of participants that had a heart rate less than 130​ bpm?

Answers

Answer and Explanation:

Please find full question attached

From the bar chart, we can see that the the interval 130-150 has two bars in it:

Interval 130-140 with the highest frequency of 5

Interval 140-150 with frequency of 2

Therefore to find the percentage between 130-150 we add up the frequencies 2+5=7 and divide by the total frequency of 15 people all multiplied by 100

=7/15×100= 46.67%

Percentage of participants with heart rate between 130 and 150 =46.67%

PLEASE SAY A,B,C OR D OF THE RIGHT ANSWER ONLY PLEASE! no links or flies, x .

You cut a candy bar into 8 equal pieces. You gave 3/8 of it to your sister and 2/8 to your brother. Which equation represents the fraction of the candy bar you gave away?


3/8 – 2/8 = 1/0

3/8 + 2/8 = 5/8

3/8 – 2/8 = 1/8

3/8 + 2/8 = 5/16

Answers

Answer:

B

Step-by-step explanation:

3/8 + 2/8 = 5/8

How do I do this and what is the answer please help??

Answers

Answer:

log3x

Step-by-step explanation:

i think it would be y=log3x

What amount of fencing (in feet) is needed?

(b)What is the total cost (in dollars) of the fencing if it costs $1.69 per foot?

Answers

235+235+150+150= 770
Perimeter= 770 ft
770 x 1.69= 1301.3
Farmer Watson would end up spending $1,301.30 on the fence

find the measure of the angle theta

Answers

Answer:

A. 57.8°

Step-by-step explanation:

Reference angle = θ

Length of hypotenuse = 15

Length of adjacent side = 8

Recall, SOHCAHTOA.

Thus, apply CAH to find θ.

Cos θ = Adj/Hyp

Cos θ = 8/15

θ = Cos^{-1}(8/15)

θ = 57.7690474° = 57.8°

mrs .velazco gave her students four options to choose from for the class project

Answers

Answer:

Step-by-step explanation:

what are the options

14x1/2 consider the expression

Answers

Answer: 7

Step-by-step explanation:

14*1=14

14/2=7

I need the answer for this question

Answers

Answer:

6,912 i think that's the answer I'm not sure though

Step-by-step explanation:

Answer:

[tex]8,400in^2[/tex]

Step-by-step explanation:

Area of Trapezoid: [tex]A=h(\frac{b1+b2}{2} )[/tex]

Given: B1, B2 and h

B1 = 18 in

B2 = 24

h = 16 in

Substitute variables for the give numbers:

[tex]A=16(\frac{18+24}{2} )\\A = 336 in^2[/tex]

The 336 in is for one desk, and they want you to find 25 desks. So multiply 336 and 25.

[tex]x = 25(336)\\x = 8,400in^2[/tex]

find the value of
x!!!!!!!!!!

Answers

Answer:

x = 16

Step-by-step explanation:

7x - 12 + 5x = 180

12x = 192

x = 16

Answer:

x = 16

Step-by-step explanation:

180 = (7x-12) + 5x

192 = 12x

16 = x

Find the value of x in the isosceles triangle below then find the measure of the base angle.
x = __°
Measure of 1 base angle = __°

Answers

Answer: [tex]x=13[/tex], one base angle measures [tex]74^{\circ}[/tex]

Step-by-step explanation:

The base angles of an isosceles triangle are congruent, so:

5x + 9 = 8x - 30 [congruent angles have equal measure]9 = 3x - 30 [subtract 5x from both sides]39 = 3x [add 30 to both sides]x = 13 [divide both sides by 3]

Hence, the measure of one base angle is [tex]5(13)+9=\boxed{74^{\circ}}[/tex]

I'll try to give Brainlyest please help!!

Answers

The answer is d 2r have a multiplication relationship so you divide by 2 on both sides

16/2= 8

Answer:

D. 2r = 16

Step-by-step explanation:

r/2 = 16, r=32

8= r/8,    r=64

4r=16,     r=4

2r=16

/2    /2

r=8

Tell wether the triangle with the given side is a right triangle.

Answers

Answer:

Number 4 is a right triangle whether 3 isnt.

Step-by-step explanation:

I just know this because a right triangle is always gonna have a 90 degree angle whether that number 3 doesnt have one

If a sample proportion is 0.55, which of the following could be a 90% confidence interval for the population proportion? Select all that apply.
(a) Lower bound: 0.50; Upper bound: 0.60 (b) Lower bound: 0.53; Upper bound: 0.59 (c) Lower bound: 0.52; Upper bound: 0.58 (d) Lower bound: 0.60; Upper bound: 0.70 (e) Lower bound: 0.45; Upper bound: 0.60​

Answers

Answer:

The correct options are a and c.

Step-by-step explanation:

Confidence interval:

A confidence interval is given by the sample proportion plus/minus the margin of error. This means that the confidence interval is symmetric, that is, the difference between the upper bound and the sample proportion has to be the same as the difference between the sample proportion and the lower bound.

Sample proportion is 0.55

So options for the confidence interval are:

Lower bound - upper bound

0.54 - 0.56

0.53 - 0.57(which means that option b is wrong)

0.52 - 0.58(which means that option c is right)

...

0.5 - 0.6(which means that option a is right).

The correct options are a and c.

The confidence interval is the range of value between which the true population proportion would lie given a certain margin of error. Hence the correct options are A and C

Hence, the upper and lower boundary would the same error value above and below the mean proportion.

Evaluating the options given :

Error below = 0.50 - 0.55 = -0.05

Error above = 0.60 - 0.55 = 0.05

Error below = 0.53 - 0.55 = -0.02

Error above = 0.59 - 0.55 = 0.04

Error below = 0.52 - 0.55 = -0.03

Error above = 0.58 - 0.55 = 0.03

Error below = 0.60 - 0.55 = 0.05

Error above = 0.70 - 0.55 = 0.15

Error below = 0.45 - 0.55 = -0.10

Error above = 0.60 - 0.55 = 0.05

Therefore, the only options with equal margin of error, above and below the mean are options A and C.

Learn more : https://brainly.com/question/15111061

Answer plz due in a few min

Answers

Answer:

40

Step-by-step explanation:

24^2+32^2=c^2

square root of 1600 is 40

Answer:40

Step-by-step explanation:Because

a^2 + b^2=c^2

Please no links or flies, x .
The table shows how a 2-acre piece of land is split into 4 sections for holding animals. How many acres are used for horses?


Goats 35 acre

Pigs 15 acre

Llamas 25 acre

Horses ??


???/5
PLEASE ANSWERRRRR

Answers

9514 1404 393

Answer:

  4/5 acre

Step-by-step explanation:

We assume your allocations are ...

  goats: 3/5 acre

  pigs: 1/5 acre

  llamas: 2/5 acre

2 acres is 10/5 acres, so the remaining area is ...

  10/5 -3/5 -1/5 -2/5 = (10 -3 -1 -2)/5 = 4/5

4/5 acre is allocated to horses.

After 1 year, $1,000 deposited in a savings account with simple interest had earned $30 in interest. What was the interest rate?

Answers

Answer:

3%

Step-by-step explanation:

The formula for simple interest is I = PRT, where I = interest earned/paid, P = principal amount deposited or borrowed, R = rate of interest as a decimal, and T = time in years.

I = PRT

30 = (1000)(R)(1)

30 = 1000R

R = 0.03

Multiply by 100 to get the percentage of 3%

What is the equation of the following line written in slope-intercept form?
y = -5x
y = 5x
y = 5/x

Answers

The equation is y=5x

Answer:

y=5x

Step-by-step explanation:

first, we know that a rising line's slope is always positive, so the first one is incorrect

let's figure out the slope: y-y'/x-x' is the formula.

now, -5-5/-1-1= -10/-2= 5. so the slope of this line is 5.

please help me as fast as possible

Answers

Answer:

Skewed Right

Step-by-step explanation:

Expand and simplify 3(C - 2d) - 2(2C - 3d).​

Answers

Answer:

-C

Step-by-step explanation:

3(C - 2d) - 2(2C - 3d).

Distribute

3C - 6d  - 4C +6d

Combine like terms

3C -4C  -6d +6d

-C

Answer:

-C

Step-by-step explanation:

3(C - 2d) - 2(2C - 3d) =

= 3C - 6d - 4C + 6d

= 3C - 4C - 6d + 6d

= -C

Two non-congruent circles intersect and have a common chord 40 cm
long. The centers of the circles are 63 cm apart. The radius of one circle is
52 cm. Find the radius of the other circle.
Please include all work and sketch

Answers

Answer:

25 cm

Step-by-step explanation:

The chord and the segment between the centers form the diagonals of a kite with each pair of side being the radius of the circles.

As we know the long diagonal bisects the shorter one and they are perpendicular.

Using Pythagorean, lets find the distance between the center of a greater circle and the chord:

52² - (40/2)² = 2304 ⇒ √2304 = 48 cm

The distance from the center of smaller circle and the chord is:

63  - 48 = 15 cm

Now using Pythagorean again, find the radius of the smaller circle:

15² + (40/2)² = 625 ⇒ √625 = 25 cm

find the distance between the points (-4,5), (-12,5)

Answers

Answer:

d = 8

Step-by-step explanation:

For:

(X1, Y1) = (-4, 5)

(X2, Y2) = (-12, 5)

Distance Equation Solution:

d=(−12−(−4))2+(5−5)2−−−−−−−−−−−−−−−−−−−−√

d=(−8)2+(0)2−−−−−−−−−−√

d=64+0−−−−−√

d=6–√4

d=8

Therefore, the distance between (-4,5), (-12,5) is 8.

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