If 4 is a root of the quadratic equation
x² - bx - 22 = 0
a. Find the value of b
b. Find the other root​

Answers

Answer 1

Answer:

Step-by-step explanation:

x²-bx-22=0

put x=4

4²-4b-22=0

16-4b-22=0

-4b-6=0

2b+3=0

b=-3/2

x²-3/2x-22=0

2x²-3x-44=0

2x²-11x+8x-44=0

x(2x-11)-4(2x-11)=0

(2x-11)(x-4)

roots are 11/2,4

Answer 2

The required value of the b  is -3/2, and another root of the given equation is  -11/2.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Given expression,
x² - bx - 22 = 0

As we know 4 is the root of the equation,
put 4 in the given expression,
(4)² -b(4) -22 = 0
16 -4b -22 = 0
b = -3/2

x² + 3/2x - 22 = 0
(x - 4)(x + 3/2) = 0

root are,
x = 4 and -11/2

Thus, the required value of the b  is -3/2, and another root of the given equation is  -11/2.

Learn more about simplification here:

https://brainly.com/question/12501526

#SPJ2


Related Questions

I need help it’s geometry

Answers

Answer:

666666666666666666666666

Answer:8(x+15)

Step-by-step explanation:

What is 5,000 to the power of 3 (quick) need help

Answers

Answer:  125000000000

Step-by-step explanation:

What is 5,000 to the power of 3 ?

» 125,000,000,000

Step-by-step explanation:

5,000 × 5,000 × 5,000

= 125,000,000,000

HOPE IT'S HELP

Find the Surface Area​

Answers

Answer:

Step-by-step explanation:

Mr. Lucas mowed 2/5 of his lawn. His son mowed 1/4 of it. Who mowed most of the lawn? How much of the lawn still needs to be mowed?

Answers

Answer:

Mr. Lucas mowed more, 8/20 he mowed. His son mowed 5/20. They need 7/20 more to be mowed 20/20 - 13/20 = 7/20

Mr. Lucas mowed 40% of his lawn while his son only mowed 25% of the lawn. 35% of the lawn still needs to be mowed.

If point (4, 5) is on the graph of a function, which equation must be true?

f(5) = 4
f(5.4) = 9
f(4) = 5.
f(5.4) = 1

Answers

Answer:

f(4) = 5

Step-by-step explanation:

functions are represented by f(x), so x should be the value in parenthesis and the y value should be what it equals

$2,400 with a sales tax of 8%
How much is the total cost for the TV?

Answers

With 8% tax of $192, $2,592.

Only 30 of Jahanna's 40 customers receive the newspaper on Sunday's. If it takes her 50 minutes to deliver to 40 customers on other days, how long will it take her to deliver the paper to 30 customers?

Answers

Answer: 37.5 minutes

Step-by-step explanation:

It takes Jahanna 50 minutes to deliver to 40 customers.

On Sunday however, she has to deliver to only 30 customers.

Assume that the amount of time it will take her is x minutes and use direct proportion:

50 minutes          :       40 customers

x minutes             :       30 customers

Cross multiply:

40x = 50 * 30

40x = 1,500

x = 1,500/40

x = 37.5 minutes

Graph the linear inequality. y > X+3

Answers

Answer:

i cant graph on here but on the graph move up 1 and right 1 for every dot and start at point (0,3)

Step-by-step explanation:

Answer: See below

Step-by-step explanation:

on the grid below draw a line that is perpendicular to the line AB

Answers

Here’s the answer, hope it helps :)

the table below shows the speed of a falling object that every second within the first 5 seconds of its downward motion based on the relationship between speed and time that the same will suggest which equation can be used to find the speed of the object at t ssecond

A 8= t/32
B s=32t
C s=32-t
D s=t+32

Answers

Answer:

B s=32t

pls mark me brainliest

in the year 2002 Andrew was on vacation for 7 months out of the year. What percent of the year did Andrew vacation?

Answers

Answer:

2009

Step-by-step explanation:

2002+7

=2009

Answer:

58.3%

Step-by-step explanation:

Okay, so we know that there are 12 months in a year, and so we need to find what percent 7 is out of 12, so we divide:

7 ÷ 12 = 0.583

0.583 x 100 = 58.3

So, Andrew was on vacation for 58.3% of the year

What is the absolute value of -1.06?

Answers

Answer:

1.06

Step-by-step explanation:

The absolute value of a number is always its opposite. Since the number is negative, the answer is positive.

Answer:

1.06

Step-by-step explanation:

The absolute value is the distance between a number and zero. The distance between  − 1.06 and  0  is  1.06 .

I hope this helped!

Sincerely,

Rekifromsk8theinfinity

:D

Explain in complete sentences how you convert a log function to an exponential.

Answers

Answer:

Identifying and moving the base is the key to changing from logarithmic form into exponential form. Identifying the base of the logarithmic equation and moving the base to the other side of the equal sign is how to change a logarithmic equation into and exponential equation.

Example- log 8 base 2=3

then 2^3=8

The opposite of a logarithmic function is an exponential equation, and vice versa

As a general rule, we have the following equation to convert a log function to an exponential.

[tex]\log_ba = x \to a = b^x[/tex]

Take for instance, we have the following logarithmic function

[tex]\log_216 = x[/tex]

The equivalent exponential equation is:

[tex]16 = 2^x[/tex]

Read more about logarithmic functions at:

https://brainly.com/question/13473114

What is 6/7 Answer quickly please!!

Answers

Answer: 0.8

Step-by-step explanation:

{y=2x+3
y=x+3 Solve the system of equations by graphing.

Answers

To solve this, graph both lines and the ordered pair where they intersect is your answer. (0, 3)

Pleaseeee helpp answer correctly !!!!!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!

Answers

Answer:

26 cm

Step-by-step explanation:

Answer:

26 cm!

If A extends to O which is half of the rectangle, and we need BD... We times AO by two to get BD. :)

The diameter of the wheels on xavires bicycle is 80 cm . Calculate the circumference of the wheels

Answers

Answer:

80*3.14

Step-by-step explanation:

let diameter d=80cm

circumference c = d*pi = d*3.14 = 80*3.14

Jada has a sleeping bag that is rated for 30° F. This means that if the temperature outside is at least 30° F, Jada will be able to stay warm in her sleeping bag. Let t represent the temperature in degrees Fahrenheit.

Answers

Answer:

30-70 degrees F Actually read my response because it explains

Step-by-step explanation:

Well if the outside air is 30 degrees F and the rated temp. for the sleeping bag is 30 then the temp. for the sleeping bag has to be anywhere from 30 and up. Probably like 30 through 70. I didnt really know what the question was because you didn't really make it clear but I tried my best. :)

Hope this helps!!!!!

Pls mark brainliest

The graph of y= f(x) is shown below. What is the value of f(-3)

Answers

f(-3) -4, Use the graph to connect them

The value of the function at x = -3 is -1

What is function?

A function is defined as a relation between a set of inputs having one output each. In simple words, a function is a relationship between inputs where each input is related to exactly one output. Every function has a domain and codomain or range.

Given that a graph of y= f(x), we need to find f(-3)

The graph tells the value of y when x = -3 is -1

Hence, The value of the function at x = -3 is -1

For more references on function, click;

https://brainly.com/question/21145944

#SPJ2

(3/5 - 1/5)2 . 1 = ?

Answers

0.84
Because...
3/5-1/5= 2/5
2/5 * 2.1= 0.84

WILL GIVE BRAINLIEST FAST

2 1/8x+3/4x+1/6-7/12x+5 2/3

Answers

Answer:

[tex]2\frac{7}{24x} + 5\frac{5}{6}[/tex]

Step-by-step explanation:

[tex]2 \frac{1}{8x}+ \frac{3}{4x} + \frac{1}{6} - \frac{7}{12x} + 5\frac{2}{3}[/tex]

find a common denominator for the x values: GCD = 24

so multiply each fraction with an x to get the common denominator

[tex]2 [(\frac{3}{3} )(\frac{1}{8x})] + [(\frac{6}{6})(\frac{3}{4x})] + \frac{1}{6} - [(\frac{2}{2})(\frac{7}{12x})] + 5\frac{2}{3}[/tex]

then multiply it out

[tex]2\frac{3}{24x} + \frac{18}{24x} + \frac{1}{6} - \frac{14}{24x} + 5\frac{2}{3}[/tex]

then, find the GCD for the fractions without x: GCD = 3

[tex]2\frac{3}{24x} + \frac{18}{24x} + \frac{1}{6} - \frac{14}{24x} + 5[(\frac{2}{2})( \frac{2}{3})][/tex]

then multiply it out

[tex]2\frac{3}{24x} + \frac{18}{24x} + \frac{1}{6} - \frac{14}{24x} + 5\frac{4}{6}[/tex]

finally, combine like terms:

[tex]2\frac{7}{24x} + 5\frac{5}{6}[/tex]

does anyone know the answer

Answers

Answer:

yes me

Step-by-step explanation:

na jp ion know

Over a 30-day period, the mean temperature in Morristown was 56°F with a standard deviation of 8.4°F and the mean temperature in San Juan was 67°F with a standard deviation of 1.5°F.

What statement best describes the data?


The temperatures were of similar consistency in Morristown and San Juan.

The temperatures were more consistent in Morristown.

The temperatures were more consistent in San Juan.

Answers

Answer: i think the answer would be d the temperatures were more consistent in san juan im pretty sure

Step-by-step explanation:

hope this helped im pretty sure this is right check my yt channel out hailey azbell

two congruent, isosceles triangles are joined to create a parallelogram. the largest angle of the parallelogram is 116.
write two equations
solve them to find the value of a and b

Answers

Yes very much so good job

Answer:

4 a + 2b = 360 ----->equation 1

a + b = 116 --------> equation 2

a = 64 °

b = 52°

Step-by-step explanation:

The sum of all of the internal angles would be 360°.  Since we have four "a"s and two "b"s, we have:

4a + 2b = 360

Then told that the largest internal angle of the parallelogram is 116 degrees, so:

a + b = 116

We now have a system of two equations and two unknowns.

I'll simplify the first equation by dividing both sides by 2, then multiplying the second equation by -1 to prepare for solving by elimination:

2a + b = 180

-a - b = -116

----------------------  Add the equations together to get:

a = 64°

Now we can solve for b:

a + b = 116

64 + b = 116

b = 52°

So the values of "a" and "b" are:

a = 64° and b = 52°

Hope this helped :)

Angelica joins a local gym called Fitness Solutions. The annual membership is $720 and personal trainers can be hired for $28 per hour. If she sets aside $1000 in her annual budget for gym costs, how many hours can she spend with the personal trainer?

Answers

(This is what I think) First, we minus 720 from her 1000. Now she has $280 left. 280 divided by 28 (the trainer cost) is 10. So, she can spend 10 hours with the personal trainer.

Use synthetic division to divide the polynomials.
(6a^3 – 4a^2 + 7a+ 2)/
(a - 2)

Answers

Answer:

Step-by-step explanation:

2_|   6      -4     7    2

                12    16  46

         6     8     23   48

6a^2 + 8a + 23 + 48/(a - 2)

3
Find the slope from the table.
X
-8
0
4
8
у
-7
2
5

Answers

Answer:

m = 3/4

Step-by-step explanation:

take two coordinate points and use the formula:

rise/run or y2-y1/x2-x1

x1,y1 being the first point

x2,y2 being the second point chosen off of the chart.

Help me plz, i'll mark brainiest

Answers

Answer:

1. y=ax^2+bx+c, where a,b, and c are real numbers and a doesn't equal zero

2. Parabola

3. Opens upward

4. Opens downward

5. Vertex

6. Axis of Symmetry

7. Zeros, roots, or x-intercepts

8. You are already given the function so

Step 1: FInd Axis of Symmetry

Equation for Axis of Symmetry: x= - b/2a

Step 2: Find Vertex

- The vertex will be on the Axis of Symmetry, so plug in x then find y.

Equation for Vertex: Ex. The vertex is (-5) which is x now we find y by plugging in -5 whenever we see an X. f(x) = -(-5)^2 - 10(-5)-25=0 our vertex would be (-5,0)

Step 3: Draw your coordinates plane and "dash in" the axis of symmetry. Then plot your vertex

Step 4: Plot your y-intercept and the point symmetrical to it. The y-intercept is "c"

Step 5: Find at least other point on the parabola and draw the curve.

IF YOU HELP ILL GIVE BRAINNLYYYYY!

Answers

20 degrees C
Hope that helped and sorry if I am wrong

Tim runs 2.3 miles in 11.2 minutes. If he runs 98 minutes, about how many miles will he run?

Answers

Answer:

20.125miles

Step-by-step explanation:

If Tim runs 2.3 miles in 11.2 minutes, then;

2.3 miles = 11.2mins

To determine Tim's distance if he runs 98mins;

x miles = 98min

Divide both equations

2.3/x = 11.2/98

11.2x = 2.3 * 98

11.2x = 225.4

x = 225.4/11.2

x = 20.125

Hence the must have ran 20.125miles

Other Questions
Genevieve drew a right angle such that one of its acute angles is five times the measure of the other acute angle. Find the measure of the smallest angle of the triangle. PLEASE HELP ASAPGiven triangle ABC and a point D on the side AC. Suppose AB=6, BC=8, AC=9, and AD=4. Find BD What did the Federalist Party oppose? I need 8 things but anything helps thank you :) 7. Are the two triangles similar? How do you know? I need this answered quick plz Please help. Im stuck updated!Match the vocabulary word with its definition. 1 . factor treean approximate value close to the actual value 2 . estimationthe smallest multiple that any given numbers have in common 3 . least common denominatorthe amount of time that passes between the start of an event to the end of an event 4 . equivalent fractionsthe line between the numerator and the denominator of a fraction 5 . fraction bara number that shows part of a whole 6 . factorthe least common multiple of two or more denominators 7 . elapsed timea fraction in which the numerator is larger than or equal to the denominator 8 . denominatorthe largest factor that any given numbers have in common 9 . least common multiplea number that divides evenly into another number10 . improper fractionfractions with the same numerical value; fractions that are equal to each other11 . fractionan organized way of finding the prime factorization of a number12 . greatest common factorthe number under the fraction line; tells how many equal parts the whole was broken into What is the answer to Animal Cells Are More Interesting Than Plant Cells. 4.) The temperature of solid silver increases from 30C to 40C by the addition of 117.5joules of heat. What is the mass of the silver? Calcula:a) 25% de 640=b) 75% de 5.000=c) 10% de 300= A chemical process used to produce ethanol as a fuel additive was expected to produce 5,000 kilograms of ethanol based on the amounts of starting materials used, but only 4,760 kilograms were produced. What was the percent yield for ethanol in this process? A)1.09 percent B)4.80 percent C)95.2 percent D)105 percent What were the key consequences of the Glorious Revolution?Please give me the answer, and not the background info, as I've already researched into the topic but just need to know the most important consequences.Thanks! please include an explanation !! What role did medieval knights have in feudalism?They protected nobles and their land,They protected serts from their lords,They protected the king from nobles,They protected nobles from angry serfs. What food in the protein group is a good source of calcium? II. Put the verbs in brackets into Present Perfect:The boys (break) the window.Q: WhatN:Your bike isn't ready yet. I (not/pump) the tyres.I know Chris. We (meet) during my last visit.I (not/see) Guernica. I've heard it's a very powerful painting.Tchaikovsky (always be) my favourite painter.How many holidays (you have) since 1999?The cat (knock) over the vase.Q: WhatN:The car (crash) into a tree.Q: WhereN:They (cut) the tree.Q: WhatN:She (tear) up his photo.Q: WhatN:He (eat) all the cake.Q: WhatN: Solve for x. Leave insimplest radical form.(special right triangle) Help me please........ now Need help as fast as possible pleaseI will mark BRAINLIST only for correct answers :)Thank you! She said, These days, many people do not like classical music.a. misspelled wordb. incorrect verb formc. misused wordd. missing punctuatione. incorrect punctuation A student wants an algorithm to find the hardest spelling word in a list of vocabulary. They define hardest by the longest word.Implement the findLongest method to return the longest String stored in the parameter array of Strings named words (you may assume that words is not empty). If several Strings have the same length it should print the first String in list with the longest length.For example, if the following array were declared:String[] spellingList = {"high", "every", "nearing", "checking", "food ", "stand", "value", "best", "energy", "add", "grand", "notation", "abducted", "food ", "stand"};The method call findLongest(spellingList) would return the String "checking".Use the runner class to test this method: do not add a main method to your code in the U6_L3_Activity_One.java file or it will not be scored correctly.Hint - this algorithm is very similar to the algorithms you have seen to find maximum/minimum values in unit 4. You need a variable which will keep track of the longest word in the array (either directly or as the array index of that word). Start this variable off with a sensible value, update it whenever a longer word is found, then return the longest word at the end.