What are the zeros of the quadratic function f(x) = 2x² + 16x - 9?
7
O x = -4 -
-√7
and x = -4 +
+√√2/2
O x=-4- 25
and x = 4 +
-
2
21
0 x = -4-√²/²
and x = -4 +
2
41
Ox=-4-
and x = -4 +
2
|~~
25
2
21
2
41
2

What Are The Zeros Of The Quadratic Function F(x) = 2x + 16x - 9?7O X = -4 --7and X = -4 ++2/2O X=-4-

Answers

Answer 1

The zeros of the quadratic function f(x) = 2x² + 16x - 9 are given as follows:

[tex]x = -4 + \sqrt{\frac{41}{2}}, x = -4 - \sqrt{\frac{41}{2}}[/tex]

What is a quadratic function?

A quadratic function is given according to the following rule:

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

The solutions are:

[tex]x_1 = \frac{-b + \sqrt{\Delta}}{2a}[/tex]

[tex]x_2 = \frac{-b - \sqrt{\Delta}}{2a}[/tex]

In which:

[tex]\Delta = b^2 - 4ac[/tex]

In this problem, the equation is given by:

f(x) = 2x² + 16x - 9.

The coefficients are a = 2, b = 16, c = -9, hence:

[tex]\Delta = 16^2 - 4(2)(-9) = 328[/tex]

Then:

[tex]x_1 = \frac{-16 + \sqrt{328}}{2(2)} = -4 + \sqrt{\frac{41}{2}}[/tex]

[tex]x_2 = \frac{-16 - \sqrt{328}}{2(2)} = -4 - \sqrt{\frac{41}{2}}[/tex]

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Related Questions

What value of n makes the equation true?

-1/5n+7=2
n=

Answers

[tex] \frac{ - n}{5} + 7 = 2 \\ \\ \frac{ - n + 35}{5} = 2 \\ \\ - n + 35 = 10 \\ \\ - n = 10 - 35 \\ \\ - n = - 25[/tex]

cancel (-) sign both sides ,

[tex]n = 25.[/tex]

What is the length of BC? (Giving 50 points) ​

Answers

Answer: Hope this helps you I guess.

2

Answer:

2 is the length of BC

Step-by-step explanation:

If we will look at this line, we can determine that unit interval is 1, so we subtract B from C, which is 2, and that's the answer

how to say i like chees burgers without saying that like how to say im not gonna date you while i still will im just dum what is 1+1

Answers

Answer:

2

I believe that the answer my friend

what i the solution to this equation
6 (x - 5) = 4x + 20

Answers

6 (x - 5) = 4x + 20

6x - 30 = 4x + 20

6x - 4x = 20 + 30

2x = 50

[tex]x = \frac{50}{2} [/tex]

x = 25

Answer: The value of x = 25 ✅

Step-by-step explanation:

Hii! Do you need to know the solution to the equation [tex]\boldsymbol{6(x-5)=4x+20}[/tex]? No problem! (:

Solving Equations

     In any equation, there's a variable that we need to solve for. Here the variable is "x".

So now let's solve for x...

[tex]\twoheadrightarrow\sf 6(x-5)=4x+20[/tex]

[tex]\bullet[/tex] "distribute" 6

[tex]\twoheadrightarrow\sf 6x-30=4x+20[/tex]

[tex]\bullet[/tex] subtract "4x" from both sides

[tex]\twoheadrightarrow\sf 2x-30=20[/tex]

[tex]\bullet[/tex] add "30" to both sides

[tex]\twoheadrightarrow\sf 2x=50[/tex]

[tex]\bullet[/tex] divide both sides by "2"

[tex]\twoheadrightarrow\sf x=25\;\;\;[/tex] ✅

--

Hope that this helped! Best wishes.

[tex]\it Reach\;far.\;Aim\;high.\;Dream\;big.[/tex]

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--

[tex]\bigstar\underbrace[/tex]

solve for y in 1/8^2-3y=2^y-2

Answers

The value of y is 2.33924.

What is equation?

An equation in math is an equality relationship between two expressions written on both sides of the equal to sign.

Given:

(1/8)²-3y = [tex]2^{y}[/tex]-2

1/64 - 3y =  [tex]2^{y}[/tex]-2

1/64+ 2 =  [tex]2^{y}[/tex]+3y

129/2 =  [tex]2^{y}[/tex]+3y

Taking log on both side

log 129 - log 2 = y log 2 + 3 log y

2.11 - 0.301 = 0.301 y + 3 log y

1.809 = 0.301 y + 3 log y

1.809/3= 0.1 y + log y

0.603 = 0.1 y + log y

y = [tex]10^{\frac{603-100y}{1000}}[/tex]

y= 2.33924

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What is the value of x and y?

Answers

Answer:

[tex]\fbox {x = 6 and y = 12}[/tex]

Step-by-step explanation:

Taking the tan and cos values to find x and y :

tan 60° = √3 = 6√3/x⇒ x = 6cos 30° = √3/2 = 6√3/y⇒ y = 12

Answer:

x = 6 and y = 12

Step-by-step explanation:

30-60-90 Triangle Theorem

A special right-angled triangle where:

Angles are in the ratio 1 : 2 : 3Sides are in the ratio 1 : √3 : 2  

Therefore, the formula for the sides is  b : b√3 : 2b where:

b = shortest side opposite the 30° angleb√3 = side opposite the 60° angle2b = longest side (hypotenuse) is opposite the right angle

The given triangle is a 30-60-90 triangle, therefore the ratio of its sides is  b : b√3 : 2b

We have been given the measure of the side opposite the 60° angle.

⇒ b√3 = 6√3

So b = 6

Therefore, substituting the found value of b into the formula, the sides are in the ratio:  6 : 6√3 : 12

⇒ x = 6  (shortest side)

⇒ y = 12  (longest sides)

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Write 3x^2+12x+20 in the form a(x+b)^2+c

Answers

The equation is written as 3(x+12)²+20.The formula for ax² + bx + c is (Ax + B)² + C.

What is the equation?

A mathematical statement consisting of an equal symbol between two algebraic expressions with the same value is known as an equation.

3x^2+12x+20

The equation is compared the equation with,ax²+bx+c

After comparing the equation we get;

a=3

b=12

c=20

The equation is written in the form as;

⇒a(x+b)^2+c

⇒3(x+12)²+20

The formula for ax² + bx + c is (Ax + B)² + C.

Hence the equation is written as 3(x+12)²+20.

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Determine if the lines through each set of ordered pairs are parallel, perpendicular, or neither. Explain your answer. Ordered pairs: (8, 3) (-2, 5) and (-2, -5) (-1, -10)

Answers

The lines through each set of ordered pairs are neither parallel nor perpendicular.

How to determine the relationship?

The ordered pairs are given as:

(8, 3) (-2, 5) and (-2, -5) (-1, -10)

Start by calculating the slope (m) using:

m = (y2 - y1)/(x2 - x1)

For the first pair, we have:

m = (5 - 3)/(-2 - 8)

m = -1/5

For the second pair, we have:

m = (-10 + 5)/(-1 + 2)

m = -5

Both slopes are not equal, so they are not parallel

Also, both slopes are not opposite reciprocals, so they are not perpendicular.

Hence, the lines through each set of ordered pairs are neither parallel nor perpendicular.

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Which is the best estimate to the nearest one percent of startfraction 7 over 15 endfraction?

Answers

The best estimate to the nearest one percent of the fraction; 7/15 is; 47%.

What is the best estimate of the fraction to the nearest percent?

From the task content, it follows that the fraction given whose estimate is to be determined is; 7/15.

The fraction expressed as a percentage is;

(7/15) × 100 %

= 46.667%.

Hence, when rounded to the nearest one percent; = 47%.

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Which of the following is the missing justification?
picture is provided

Answers

Answer: Choice C

Subtraction property of equality

====================================================

Explanation:

Let's say we started with the equation a = b

Subtract c from both sides to get a-c = b-c

This is the subtraction property of equality

-----------------

Example:

x+5 = 12

x+5-5 = 12-5 ... using the subtraction property of equality

x+0 = 7

x = 7

------------------

For this current problem, we're subtracting 3 from both sides in the second step.

A very closely related property is the addition property of equality where we add the same thing to both sides.

Technically we could add -3 to both sides to get the same task done in the second step. But the subtraction property is more direct and straight-forward in my opinion.

Find the tables with unit rates greater than the unit rate in the graph then arrange these tables in order from least to greatest unit rate

Answers

Table 3,4,5,6,7 has a greater value of the unit rate than the unit rate of the graph.

What is a graph?

A diagram depicting the relationship between two or more variables, each measured along with one of a pair of axes at right angles.

The unit rate of the graph is;

[tex]r_g = \frac{26-0}{14-0} \\\\ r_g = \frac{13}{7} \\\\ r_g = 1.857[/tex]

The unit rate for the given tables;

[tex]\rm r_1 = \frac{26-13}{14-7}\\\\ r_1 = \frac{13}{7} \\\\ r_1 = 1.857[/tex]

[tex]\rm r_2 = \frac{26-13}{14-7} \\\\ r_2 = \frac{9}{5} \\\\ r_2 = 1.8 < 1.818[/tex]

[tex]r_3 = \frac{34-17}{18-9} \\\\r_3 = \frac{17}{9} \\\\ r_3 = 1.889 > 1.818[/tex]

[tex]\rm r_4 = \frac{42-21}{22-11} \\\\ r_4 = \frac{21}{11} \\\\ r_4 = 1.909 > 1.818[/tex]

[tex]\rm r_5 = \frac{38-19}{20-10} \\\\ r_5 = \frac{19}{10}\\\\ r_ 5 = 1.9 > 1.818[/tex]

[tex]\rm r_6 = \frac{50-25}{26-13} \\\\ r_6 = \frac{25}{13} \\\\ r_6 = 1.923 > 1.818[/tex]

[tex]r_ 7 = \frac{46-23}{24-12} \\\\ r_7 = \frac{23}{12} \\\\r_7 = 1.917 > 1.818[/tex]

Hence, table 3,4,5,6,7 has a greater value of the unit rate than the unit rate of the graph.

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8
the probability that a biased coin lands on heads is 0.47
13
the probability that a biased dice lands on an even number is
20
samira flips the coin and rolls the dice.
find the probability that the coin lands on tails and the dice
lands on an even number.

Answers

The probability that the coin lands on tails and the dice lands on an even number is 0.3455

How to determine the probability?

Let A represents a biased coin lands on heads and B represents a biased dice lands on an even number

So, we have:

P(A) = 0.47

P(B) = 13/20

The required probability is:

P(A' and B) = P(A) * P(B)

This gives

P('A and B) = (1 - 0.47) * 13/20

Evaluate

P('A and B) = 0.3455

Hence, the probability that the coin lands on tails and the dice lands on an even number is 0.3455

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1+1= 2+1= 3+1= 4 so that is the answer to this difficult sum

Answers

Answer:

2 = 3 = 4 = 4

solve for 2.5w+12 on a graph

Answers

x-intercept -4.8

y-intercept 12

slope 2.5

plot points

x y

-2, 7

-1, 9.5

0, 12

1, 14.5

2 ,17

x-intercept-4.8
y-intercept 12
slope 2.5
plot points
X y
-2.7
-1.9.5
0, 12
1.145
2,17

The formula for the surface area of a
sphere that has a radius 7 is shown in
the box below.
SA = 4tr-2
A sphere and one of its dimensions are
shown in the diagram below.
5 in.
What is the surface area, in square
inches, of the sphere?

Answers

Step-by-step explanation:

hope you can understand

The measure of an angle is 1/2 the measure of its supplement find the measure of each supplement. Help

Answers

Answer:

।बवछॅनछॅठै रटटृ रटटृरटॅलठट

Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).

Answers

the slope is 2/3
the y-intercept is (0,6)

please help!!! picture has the question and answer choices in it

Answers

Answer:

5x-y≥ 1  

Step-by-step explanation:

Find the slope of the line to be :

y = 5x -1     <=====  the shaded area is less than or equal (because it is a SOLID line...not dashed)  to this :

y ≤ 5x-1      re-arrange to

5x-y ≥ 1

Which integer is the smallest? A. -84 B. -4 OC. 34 OD. 24 Advanced Placement, AP AP Central", College Board", and SAT are trademarks registered by the Colleg ACT is a trademark registered by ACT, Inc., which is not affiliated with, and does not endorse, this website. Copyright 2010-2022 edtell, LLC. All rights reserved. Portions of this software are copyrighted by other partie. Which integer is the smallest ? A. -84 B. -4 OC . 34 OD . 24 Advanced Placement , AP AP Central " , College Board " , and SAT are trademarks registered by the Colleg ACT is a trademark registered by ACT , Inc. , which is not affiliated with , and does not endorse , this website . Copyright 2010-2022 edtell , LLC . All rights reserved . Portions of this software are copyrighted by other partie .​

Answers

Answer: B -4

Step-by-step explanation: I think it is B because -4 is smaller than A,C and D.

The smallest integer among the options provided is option A, which is -84.

In the context of integers, smaller values are considered to be "less" than larger values.

In this case, we can compare the given integers to determine the smallest one.

Comparing the options:

A. -84

B. -4

C. 34

D. 24

Out of these options, -84 is the smallest integer because it has the lowest numerical value.

The negative sign indicates that it is a number less than zero, and the absolute value of 84 is greater than the absolute values of -4, 34, and 24.

Therefore, based on numerical value, -84 is the smallest integer among the options given.

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Given that h={A,E,I,O,U},which is the number of possible subsets of set h

Answers

There are 32 subsets of the set h.

We have given that h={A,E,I,O,U},

We should count the elements of the set, then put that number as the exponent of 2.

What is the subset?

A set A is a subset of another set B if all elements of set A are elements of set B. In other words, set A is contained inside set B.

Remember that 2 should always be the base in finding the number of subsets: 2^5=32

Therefore there are 32 subsets of the set h.

Here set h is denoted by small h but the set is always denoted by capital letters.

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30 POINTS PLEASE HURRY
Jonathan and Kevin each rewrote and evaluated the expression (SEE PICTURE BELOW) They arrived at different answers.

Answers

Answer:

B. took test

Step-by-step explanation:

Answer:

B. Jonathan is correct. Kevin made an error at step 3.

Step-by-step explanation:

If you are driving a train and your going over 180 mph, and you pass 20 houses, 10 stores, 3 gas stations, and 1 hospital per every ten minutes, what is the eye color of the train driver??? :) lol

Answers

If I am driving the train , the colour of the eye will be my eye colour.

What are Logical Questions ?

The questions that do not need critical reasoning while only need logical thinking to find the answer.

It is given that the "If you are driving a train and your going over 180 mph, and you pass 20 houses, 10 stores, 3 gas stations, and 1 hospital per every ten minutes"

If I am driving the train , the colour of the eye will be my eye colour.

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Select the correct answer.
Identify the end behavior and the zeros of function h.
h(1) = -1³ - 91² +41 +96
Based on these key features, which statement is true about the graph representing function h?
A.
The graph is negative on the intervals (- infinity, -8) and (-4, 3).
B. The graph is positive on the intervals (-8, -4) and (3, infinity).
OC. The graph is negative on the intervals (-3, 4) and (8, ∞).
D. The graph is positive on the intervals (-infinity ,-8) and (-4, 3).

Answers

Based on the key features, the end behavior and the zeros of function h [h(x) = -x³ - 9x² +4x +96], the statement that is true of the above graph is: "The graph is positive on the intervals (-8, -4) and (3, infinity) (Option B)"

What is end behavior?

A function's "end behavior" refers to how the function's graph behaves at its "ends" on the x-axis.

In other words, if we look at the right end of the x-axis (as x approaches + ∞) and the left end of the x-axis (as x approaches - ∞ ), the end behavior of a function represents the trend of the graph.

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What is the slope of a line that is perpendicular to the line y = -1/2x+5
-2
-1/2
1/2
2

Answers

Step-by-step explanation:

please mark me as brainlest

Answer:

slope = 2

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - [tex]\frac{1}{2}[/tex] x + 5 ← is in slope- intercept form

with slope m = - [tex]\frac{1}{2}[/tex]

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-\frac{1}{2} }[/tex] = 2

16-2t=3/2t+9 solve for t

Answers

answer: t=2

steps:

16-2t = 3/2t+9

7 = 3/2t + 2t

2 is 4/2

7 = 3/2t + 4/2t

7 = 7/2t

7/2t = 7

(2/7)7/2t=7(2/7)

t=7(2/7)

t=2

how do I do this, i am doing this and i need full points

Answers

Answer:

D is correct ...

nind d d find her r d d d f FBI f

HELP ME PLEASEEE

Beatrice writes down every expression that appears in this problem set, one after the other, linking them with
+ signs between them. She is left with one very large expression on her page. Is that expression a polynomial expression? That is, is it algebraically equivalent to a polynomial?
What if she wrote - signs between the expressions instead?
What if she wrote × signs between the expressions instead?

Answers

Is that expression a polynomial expression?

yes because they are terms linked into one expression.

What if she wrote - signs between the expressions instead?

it would still be considered a polynomial.

What if she wrote × signs between the expressions instead?

no because it would be one huge term

rectangle has a base of 10 and a height of 5. What is the perimeter of the rectangle?

Answers

Answer:

30

Step-by-step explanation:

P=2(b+h)=2·(10+5)=30

Answer: 30

Step-by-Step Solution:

We know, Base = Length and Height = Breadth of the Rectangle.

Length (l) = 10
Breadth (b) = 5

Perimeter of the Rectangle = 2(l + b)

Therefore,
= 2(l + b)
= 2(10 + 5)
= 2(15)
= 2 * 15
=> 30

Perimeter of the Rectangle = 30

Which values of x will make the expression
0-3
0-2
0
02
3
6x²-54
5x²-20
equal to 0? Select two options.

Answers

Answer:

3 and -3

Step-by-step explanation:

Answer? Having trouble understanding this question

Answers

Answer:

[tex]\frac{k+5}{k-2}[/tex]

Step-by-step explanation:

[tex]\frac{1-\frac{25}{k^2} }{1-\frac{7}{k}+\frac{10}{k^2} }[/tex]

multiply numerator and denominator by k² to eliminate fractions

= [tex]\frac{k^2-25}{k^2-7k+10}[/tex] ← factor numerator and denominator

------------------------------

k² - 25 ← is a difference of squares

= (k - 5)(k + 5)

k² - 7k + 10

= (k - 5)(k - 2)

------------------------------

= [tex]\frac{(k-5)(k+5)}{(k-5)(k-2)}[/tex] ← cancel (x - 5) on numerator / denominator

= [tex]\frac{k+5}{k-2}[/tex]

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