Solve these


[tex] {x}^{2} - 5x + 6[/tex]
[tex] {x}^{2} - 11x + 28[/tex]

Answers

Answer 1

Answer:

hope this will help you more

Solve These[tex] {x}^{2} - 5x + 6[/tex][tex] {x}^{2} - 11x + 28[/tex]
Answer 2

Answer:

[tex]x^2-5x+6[/tex]

x = 3, x = 2

[tex]x^2-11x+28[/tex]

x = 7, x = 4

Step-by-step explanation:

One is asked to solve two quadratic equations. Both of these quadratic equations are in standard form. This means that the two equations follow the following general format;

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

The quadratic formula is a method of solving a quadratic equation using the coefficients of the terms in the equation. The quadratic equation is the following,

[tex]\frac{-b(+-)\sqrt{b^2-4ac}}{2a}[/tex]

Substitute in each of the terms and solve for the roots in each equation;

[tex]x^2-5x+6[/tex]

Substitute, and solve

[tex]\frac{-(-5)(+-)\sqrt{(-5)^2-4(1)(6)}}{2(1)}\\\\=\frac{5(+-)\sqrt{25-25}}{2}[/tex]

[tex]=\frac{5+1}{2}[/tex]          [tex]=\frac{5-1}{2}[/tex]

[tex]=3[/tex]               [tex]=2[/tex]

[tex]x^2-11x+28[/tex]

Substitute, and solve

[tex]\frac{-(-11)(+-)\sqrt{(-11)^2-4(1)(28)}}{2(1)}\\=\frac{11(+-)\sqrt{121-112}}{2}[/tex]

[tex]=\frac{11+\sqrt{9}}{2}[/tex]           [tex]=\frac{11-\sqrt{9}}{2}[/tex]

[tex]=\frac{11+3}{2}[/tex]              [tex]=\frac{11-3}{2}[/tex]

[tex]=7[/tex]                     [tex]=4[/tex]


Related Questions

Which of the following is a quadratic function?

Answers

Answer:

A

Step-by-step explanation:

A

when multiplied out

the highest exponent of x is 2

y = 2x² + x - 6

Answer:

option A

Step-by-step explanation:

A quadratic equation is a single variable polynomial of degree 2.

[tex]A ) y = ( x + 2)(2x-3) = 2x^2 -3x +4x - 6 =2x^2 + x - 6 \ - Yes \\\\B) y = 3(x - 4) \ - No\\\\C) y = \frac{1}{x^2} \ - No\\\\D) y = x(x-4)(x+3) = x(x^2 -x - 12) = x^3 -x^2 - 12x \ - No[/tex]

An object is thrown from a platform. Its height (in meters), x seconds after launch, is modeled by h (x) = -5 (x + 1) (x -9)

Answers

Answer:

Step-by-step explanation:

This is already factored for us, which is really nice, so now all we need to do is apply the Zero Product Property to the sets of parenthesis and solve for x, which will give us the 2 times that the object is on the ground.

x + 1 = 0 so

x = -1

x - 9 = 0 so

x = 9

We all know that time cannot ever be negative, so the time that the object is on the ground is 9 seconds after it's launched (which was from an initial height of 45 meters).

How many miles is her road trip

Answers

Answer B) 265 miles

She has driven 75 miles per hour for 3 whole hours. To find the miles she has driven multiple the miles per hour and the amount of time she has driven. This is 225.

Then she drove 40 miles per hour for only 1 hour. She only drove 40 miles. Add 225 + 40. This gives you 265 miles.

Answer:

(B). 265 miles

Step-by-step explanation:

She travelled 75 mph for 3 hours and 40 mph for 1 hour.

Therefore, 75 + 75 + 75 + 40 = 265 miles

If this helps you, please mark brainliest!

Lines A and B are parallel
A
1
2
50° 4
B
5 6
8
mZ2 = [?]°

Answers

50 by vertical angles

a=v2/rSolve the formula for r.

Answers

Answer:

r =v2 /a

Step-by-step explanation:

a=v2/r

ra=v2

r =v2 /a

Answer:

r = [tex]\frac{v^2}{a}[/tex]

Step-by-step explanation:

Given

a = [tex]\frac{v^2}{r}[/tex] ( multiply both sides by r to clear the fraction )

ar = v² ( divide both sides by a )

r = [tex]\frac{v^2}{a}[/tex]

write a numerical expression
two hundred fifty-nine mines eighty-five plus sixty-two divided by two

Answers

259-85+62÷2 is the answer

the cost for renting a car is $29.00 a day plus $0.29 for every kilometre after the first 100 km. what is the cost of renting a car after 14 days and 320 km?
(linear equations)

Answers

Answer:

$469.80

Step-by-step explanation:

First, let's find out how many fees would be paid exclusively for renting it out for 14 days.

29.00 * 14 = $406

They have to pay 406 dollars just for having the car for 14 days.

Now let's find out how much will need to paid for driving for 320 km.

We can first take away 100 km because the fee only starts afterwards.

320 - 100 = 220

220 * 0.29 = 63.8

63.80 + 406 = 469.80

A candy store owner has 8.32 pounds of jelly beans. If
she puts the jelly beans into 8 jars, how much candy
will go in each jar?

Answers

Answer:

1.04 lbs

Step-by-step explanation:

8.32 lbs / 8 jars=

1.04 lbs per jar

Can someone explain how to do this?

Answers

Answer:

x = 32°

Step-by-step explanation:

The two angles form a straight line, so therefore they are supplementary.

The sum of supplementary angles always equal 180°, so we know that:

(3x - 4) + (3x - 8) = 180°

Now you have the equation, solve for x.

3x - 4 + 3x - 8 = 180°

6x - 12 = 180°

6x = 192°

x = 32°

Answer:

3x-4+3x-8=180

3x+3x=180+4+8

6x=192

x=32

check: 3(32)-4+3(32)-8=180

A man has twin sons of equal height. The combined
height of the man and one son is 180cm. The
combined height of the man and both sons is
252cm. Twice the man's height added to the height
of one son would be

Answers

Answer:

son weight = 72

Step-by-step explanation:

D + S = 180

D + 2S = 252

S=252-180

S = 72

D= 108

help asap please thanks

Answers

-pi/4 is the same thing as 7pi/4.

The sine function will get us the y-value we need.

Keep in mind that our y-value will be negative (based on the position of the line), and pi/4 and 3pi/4 will both have positive y-values.

Therefore, the correct expression is sin(7pi/4).

Hope this helps!! :)

Find the values of q, w, and y in this diagram

Plz help I need this fast

Answers

Answer:

[tex]{ \tt{q = 60 \degree}} \\ \\ { \tt{w = 180 - 60 = 120 \degree}} \\ \\ { \tt{y = 180 - 60 - 70 = 50 \degree}}[/tex]

help please

plz plz plz​

Answers

Step-by-step explanation:

Here,

y= 2x

and x € (1,2,3)

now,

when x=1 , when x=2 , when x= 3

y=2x y= 2x y=2x

= 2×1 = 2×2 = 2×3

= 2 = 4 = 6

Therefore, y = (2,3,6)

I ONLY NEED HELP ON THE FIRST QUESTION SHOWN

Answers

I think the answer should be C , h=A/b

Factorize this expression
qr-qs+pr-ps

Answers

here’s the answer in the picture

Answer:

(q+p)(r-s)

Step-by-step explanation:

qr-qs+pr-ps

q(r-s) + p(r-s)

(q+p)(r-s)

Make t the subject of this formula.
r = 7 (t + 3)

Answers

Answer:

t= r-21

7

Step-by-step explanation:

r = 7(t+3)

expanding the bracket

r = 7t + 21

bringing t to the left hand side

7t = r - 21

divide both sides by seven

t= r-21

7

Answer:

t = (r/7) - 3

Step-by-step explanation:

Given equation,

→ r = 7(t + 3)

Now the value of t will be,

→ r = 7(t + 3)

→ r = 7t + 21

→ r - 21 = 7t

→ 7t = r - 21

→ t = (r - 21)/7

→ t = (r/7) - 3

Hence, value of t is (r/7) - 3.

What, if any, was Miguel’s mistake?

Answers

You need to have a picture

which value of x is in the domain of f (x) =v x-7?

Answers

Answer:

The domain of the function are values of x that respect the following condition: [tex]x \geq 7[/tex]

Step-by-step explanation:

We are given the following function:

[tex]f(x) = \sqrt{x - 7}[/tex]

Domain of the square root function:

The square root does not exist for negative values, so the domain of a square root function:

[tex]g(x) = \sqrt{h(x)}[/tex]

Is [tex]h(x) \geq 0[/tex]

In this question:

[tex]f(x) = \sqrt{x - 7}[/tex]

Then:

[tex]h(x) = x - 7[/tex]

[tex]x - 7 \geq 0[/tex]

[tex]x \geq 7[/tex]

The domain of the function are values of x that respect the following condition: [tex]x \geq 7[/tex]

Answer:

the answer is 8 and x>or equal 7 and the only option greater than 7 is 8

Step-by-step explanation:

What is the value of x in the equation 6 +4x = 7

Answers

Answer:

x = - [tex]\frac{1}{4}[/tex]

Step-by-step explanation:

Given

6 + 4x = 7 ( subtract 6 from both sides )

4x = 1 ( divide both sides by 4 )

x = [tex]\frac{1}{4}[/tex]

Answer:

x = 1/4

Step-by-step explanation:

6 +4x = 7

collect terms

4x = 7 - 6

4x = 1

Divide both sides by 4

x = 1/4

Bye ! :-)

Which conjunction about whole numbers is true?

The sum of two non-zero even numbers is even and less than the addends.
The sum of two non-zero even numbers is even and greater than the addends.
The difference of two non-zero even numbers is odd and less than the larger number.
The difference of two non-zero even numbers is odd and greater than the larger number.

Answers

Answer:

The sum of two non-zero even numbers is even and greater than the addends

Step-by-step explanation:

The solution to the whole number equation is sum of two non-zero even numbers is even and greater than the addends

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

Let the first number be p

Let the second number be q

Now , the values of p and q are even

So , when p = 2 and q = 4

The sum of two non-zero even numbers is even and greater than the addends

p + q > q   be equation (1)

p + q > p   be equation (2)

2 + 4 > 4

2 + 4 > 2

6 > 4 and 6 > 2

Hence , the equation is true and sum of two non-zero even numbers is even and greater than the addends

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ2

What is the value of m?
Om=2
Om=3
Om=15
O m=16

Answers

Answer:

m = 3

Step-by-step explanation:

5m + 1 = 3m + 7

2m = 6

m = 3

The value of m in the figure is 3

From the question, line segments GH and HK are congruent.

So, we have:

GH = HK

Substitute known values

5m + 1 = 3m + 7

Collect like terms

5m - 3m = -1 + 7

Evaluate the like terms

2m = 6

Divide both sides by 2

m = 3

Hence, the value of m in the figure is 3

Read more about quadrilaterals at:

https://brainly.com/question/5715879

h(x)=-4x-7, when x=3
h( blank)=blank

Answers

Answer:

h(3)=19

Step-by-step explanation:

it's saying x=3 so -4×3 is -12 and -12 -7 is 19 so the answer is 19

Answer:

hope this helps

Step-by-step explanation:

PLEASE HELP ASAP - ILL GIVE BRAINLEST

GIVE THE WORK FOR IT TP PELASEE!! and 20 points

Answers

Answer:

Step-by-step explanation:

Hope this helps u !!

The depth of snow at seven different mountain lodges is 18 inches, 20 inches, 26 inches, 22 inches, 85 inches, 18 inches, and 24 inches. Find the mean, median, and mode. Which measure is the most useful for predicting how deep the snow will be at an 8th lodge?

Answers

Answer:

a) [tex]\=x=36.4inches[/tex]

b) [tex]Median=22[/tex]

c) [tex]Mode=18[/tex]

d) [tex]The\ Mean[/tex]

Step-by-step explanation:

From the question we are told that:

Depths:

18 inches,

20 inches

26 inches

22 inches

85 inches

18 inches

24 inches

Sample size [tex]n=7[/tex]

Summation of all depths

 [tex]\sum d=18+20+26+22+85+18+24[/tex]

 [tex]\sum d=255[/tex]

a)

Generally the equation for Mean is mathematically given by

 [tex]\=x=\frac{\sum d}{n}[/tex]

 [tex]\=x=\frac{255}{7}[/tex]

 [tex]\=x=36.4inches[/tex]

b)

Generally the Median is given by the Middle Number which is

 [tex]Median=22[/tex]

c)

Generally the Mode is given by the Highest occurring Number which is

 [tex]Mode=18[/tex]

with two appearances

Therefore

d)

The measure that is the most useful for predicting how deep the snow will be at an 8th lodge is

 [tex]The Mean[/tex]

Solve the system of equations by graphing.
x + y = -9
4x + y = -19

Answers

Answer:

(3 [tex]\frac{1}{3}[/tex] , 5 [tex]\frac{2}{3}[/tex] )

Step-by-step explanation:

x + y = -9    --> y = -x -9  

4x + y = -19 --> y = -4x - 19

Graph accordingly.

four terms in the sequence an are a3=15, a4=19, a5=23, and a6=27 which function can be used to find the nth term in the sequence

Answers

Answer:

an = 4n + 3

Step-by-step explanation:

Name the identical triangles and measurement of side BA

Answers

Step-by-step explanation:

BE/BC=BD/BA

tHE TWO SIMILAR TRIANGLES ARE BED AND BC. tHE PROPORTION ABOVE REPRESENTS USE OF THE TWO SIMILAR TRIANGLES.

4/(4 + 10) = 5/(5+X) Cross Multiply

4(5+x) = 5(4+10)m

20 +4x=20 +50 subtract 20 from both sides

4x = 50 divide by 4

x =12.5

HELPPP!!! ILL GIVE YOU THE BRAINLIEST IF YOU ANSWER LESS THAN 5 MINS. If APQR - ASTU, which statement must be true?

Answers

Answer:

D.

Step-by-step explanation:

If you look on both triangles, PQ and ST are both and the same spots. (P is in the same spot as S and Q is in the same spot as T.

The scale on a map reads 3⁄4 inches = 60 miles. If two cities are 2 1⁄2 inches apart on the map, find the actual distance between the cities.

Answers

200 miles. 2.5 divided by 3/4 is 3.33333-, multiplying the given by 60 would give us 199.98, which you can round to 200.

Can someone help me? It's urgent and thank you!

Answers

Answer:

its c trust me. ive seen some stuff like this before

Other Questions
is the sentence the boy won the computer award active or passive voice Adenine bonds withYour answer Name the identical triangles and measurement of side BA Every kid should take a foreign language class to learn the ins and outs of a whole different culture.How could this sentence be rewritten to maintain a formal tone?Kids should really study foreign language to learn about lots of cultures.Kids: you know you want to sign up to learn a new language and culture!Students should take a bunch of classes that allow them to learn new cultures.Students should study foreign language to be exposed to new cultures. A satellite orbits Earth at a rate of about 3,300 miles in 12 minutes. At this rate, how far does the satellite travel around Earth in 1 hour? The number 0.2 can be written as 2/10 so it is a rational number HELPPP!!! ILL GIVE YOU THE BRAINLIEST IF YOU ANSWER LESS THAN 5 MINS. If APQR - ASTU, which statement must be true? Was it wrong for America to bomb Japan if so use provide evidence why Which of the following sentences uses prepositions correctly?A. The school bus finally arrived at the museum. B. For years, my parents differed from each other on politics.C. I sat between my mother, sister, and brother-in-law.D. She might of gone to the party if it started earlier. Ivan runs a cake shop. Renting theshop costs him $1600 per month,and he makes a profit of $16 on eachcake he sells. Ivan wants a profit of atleast $2000 a month. 3. Which of the following people discovered gold in California in 1848?A. John SutterB. James MarshallC. Samuel BrannanD. Charles Bennett __________________________________________4.John Sutter was worried that the discovery of gold in Califomia would ruin his business.TrueFalse What is 3 log Subscript 2 Baseline x minus (log Subscript 2 Baseline 3 minus log Subscript 2 Baseline (x + 4)) written as a single logarithm?log Subscript 2 Baseline left-bracket StartFraction x cubed Over (StartFraction 3 Over x + 4 EndFraction) EndFraction Right-bracketlog Subscript 2 Baseline (StartFraction 3 x cubed Over x + 4 EndFraction)log Subscript 2 Baseline left-bracket (StartStartFraction x cubed Over 3 EndFraction) Over x + 4 EndEndFraction Right-bracketlog Subscript 2 Baseline (StartFraction x cubed Over 3 + (x + 4) EndFraction) PLEASE HELP ME OUT I'M STRUGGLING TO ANSWER, THANKS SO MUCH!Identify the following scenario as passive listening or listening to analyze, comprehend, empathize, or gain information.Ian watches and listens to a documentary about World War II, trying to understand the causes and effects of the war.A. AnalyzeB. PassiveC. Gain informationD. EmpathizeE. Comprehend A general mechanism by which postsynaptic potentials are terminated involves Group of answer choices increased synthesis of the neurotransmitter molecule. enzymatic synthesis of the neurotransmitter molecule. reuptake of the neurotransmitter molecule into the axon through a membrane transporter. increased number of postsynaptic receptors. diffusion into glial cells. Parallel incident rays appear to bounce like they have all originated from the same point. What is this point called?A. cross pointB. midpointC. bounce pointD. focal point Can someone please help me write a Introduction/Thesis statement with the Topic on how people with Alzheimers are cut off from society. do you think institutional discrimination occurs because people are purposely acting in a racially discrimination manner? why or why not.please write more of 300 words help pleaseplz plz plz Which factor decide the reactivity of alkyl halide? A man has twin sons of equal height. The combinedheight of the man and one son is 180cm. Thecombined height of the man and both sons is252cm. Twice the man's height added to the heightof one son would be