factoring quadratics 4x^2-13x+3=0

Answers

Answer 1

Answer:

X=3,1/4

Step-by-step explanation:

4x²-(12+1)x+3=0

or,4x²-12x-x+3=0

or,4x(x-3)-1(x-3)=0

or,(4x-1)(x-3)=0

Either,4x-1=0➡️ 4x=1

X=1/4

OR,x-3=0➡️ X=3

Answer 2
X= 3 1/2 is the answer

Related Questions

Name the red line. Select ALL that apply.

1. PN
2. PW
3. WN
4. line d
5. NW
6. line P

Answers

Answer:

1. PN

Step-by-step explanation:

Given that (7x-8)/(2x-1)(x-2)

Use Partial Fraction Decomposition to Find A and B.

Answers

We look for constants a and b such that

[tex]\displaystyle \frac{7x-8}{(2x-1)(x-2)} = \frac a{2x-1} + \frac b{x-2}[/tex]

Rewrite all terms with a common denominator and set the numerators equal:

[tex]\displaystyle \frac{7x-8}{(2x-1)(x-2)} = \frac{a(x-2)}{(2x-1)(x-2)} + \frac{b(2x-1)}{(x-2)(2x-1)} \\\\ \frac{7x-8}{(2x-1)(x-2)} = \frac{a(x-2)+b(2x-1)}{(2x-1)(x-2)} \\\\ \implies 7x-8 = a(x-2) + b(2x-1) = (a+2b)x - 2a - b[/tex]

Then

a + 2b = 7

-2a - b = -8

Solve for a and b. Using elimination: multiply the first equation by 2 and add it to the second equation:

2 (a + 2b) + (-2a - b) = 2(7) + (-8)

2a + 4b - 2a - b = 14 - 8

3b = 6

b = 2

Then

a + 2(2) = 7   ==>   a = 3

and so

[tex]\displaystyle \frac{7x-8}{(2x-1)(x-2)} = \frac 3{2x-1} + \frac 2{x-2}[/tex]

Answer:

a=3

b=2

Do whatever you want with that information^^

find the value of 3²×2³​

Answers

Answer : 72

Step-by-step explanation:

It's above in the pic .

find the distance between the two points rounding to the nearest tenth (if necessary) (6, 5) and (-3, -7)​

Answers

Answer:

15 units

Step-by-step explanation:

that is the answer yep

Answer:

9.2

Step-by-step explanation:

it said it

The point that is 7 units to the left of the y-axis and 5 units above the x-axis

Answers

Answer:

(-7, 5)

Step-by-step explanation:

Answer:

(-7,5)

Step-by-step explanation:

have a nice day

S
Tami put 14 chocolate chips in a batch
of 10 cookies. How many chocolate
chips will be used with 40 cookies?
Chocolate
Chips
14 28 42 [?]
Cookies 10 20 30 40

Answers

Answer:

56 chocolate chips will be used with 40 cookies.

Step-by-step explanation:

14 chocolate chips = 10 cookies

? chocolate chips = 40 cookies

Variable x = number of chocolate chips for 40 cookies

14/10 = x/40

Cross multiply:

14 × 40 = 10 × x

560 = 10x

56 = x

PLEASE HELP

write and solve an equation to find the value of X. please explain in details and show your work!

Answers

Answer:66.5 degrees

Step-by-step explanation:

Johan leased a car for three years. He
paid a one-time fee of $1,000, and an
additional $300 per month for the full
three years. At the end of the three years,
what is the total amount Johan paid for
leasing this car?

Answers

Answer:

Step-by-step explanation:

A year has 12 months. 3 years have 36 months.

Total amount = 36 * 300 + 1000

Total amount = 10800 + 1000

Total amount = 11800

10 pounds of egg whites. You have 6 ounces to make one serving. How many servings can you make?

Answers

10 pounds equals 160 ounces . So 160 divided by 6 equals 26.666
The answer is you can make 26 servings

Pls help A card is drawn from a standard deck of 52 cards. What is the probability of drawing a face card (jack, king, or queen) or a black card?

Answers

Answer:

probability is 32/52 or about 0.615

Step-by-step explanation:

There are 12 face cards

of the remaining 52 - 12 = 40 cards, half of them are black

so 12 + 40/2 = 32 cards would be considered successful

A certain product is marked down to $64.75 after a 12.5% decrease. Determine the original price. (4 points)
$72.85
$74.00
$76.6

Answers

X * (100-12.5)100 = 64.75
X* 0.875 = 64.67 /:0.875
X. = 74 $

I need help on this problem expand 2-x(x+6)

(This is distributive property)

Answers

Answer:

2-x^2-6x

Step-by-step explanation:

2-x(x+6)

2-x^2-6c

What is the range of (-1,7)(6,2)(0,4)(5,2)(-3,1)

Answers

Answer:

range =(7,2,4,2,1)

if my answer helps you than mark me as brainliest.

9. The length of a garden is 2w + 4 and the width is w. What is the area of the garde

Answers

294738917263748hehejshdhf

I need a answer ASAP what is 1/7 equal to?

Answers

Answer:

1/7 = 2/14 = 3/21 = 4/28 = 5/35 = 6/42 = 7/49 = 8/56 = 9/63 = 7/10

Step-by-step explanation:

Can someone please explain

Answers

Answer:

r = 5

Step-by-step explanation:

the sine rules formula :

sin Q/q = sin R/r

=> r = q× sin R / sin Q

= 6× ⅓ / (2/5)

= 2 /(2/5)

= 2× 5/2

= 5

Answer:

r = 5

Step-by-step explanation:

Sine trigonometric ratio

[tex]\sf \sin(\theta)=\dfrac{O}{H}[/tex]

where:

[tex]\theta[/tex] is the angleO is the side opposite the angleH is the hypotenuse (the side opposite the right angle)

The sides of a triangle are opposite their angles.  Therefore, in ΔPQR:

⇒ side r is opposite angle R

⇒ side p is opposite angle P

⇒ side q is opposite angle Q

Using the given ratio of sin Q:

[tex]\sf \implies \sin Q=\dfrac{q}{H}=\dfrac{2}{5}[/tex]

Substitute the given value of q = 6 and solve for H:

[tex]\sf \implies \dfrac{6}{H}=\dfrac{2}{5}[/tex]

[tex]\sf \implies H=6 \cdot\dfrac{5}{2}[/tex]

[tex]\sf \implies H=15[/tex]

Using the given ratio of sin R:

[tex]\implies \sf \sin R=\dfrac{r}{H}=\dfrac{1}{3}[/tex]

Substitute the found value of H and solve for r:

[tex]\implies \sf \dfrac{r}{15}=\dfrac{1}{3}[/tex]

[tex]\implies \sf r=15 \cdot\dfrac{1}{3}[/tex]

[tex]\implies \sf r=5[/tex]

Learn more about trigonometric ratios here:

https://brainly.com/question/26861422

https://brainly.com/question/27938163

Solve the system of equations by substitution
5x +y = 36
y = 4x

Answers

Step-by-step explanation:

The answer is mentioned above.

To start off your going to plug in 4x into the equation. Which will turn into 5x + 4x = 36. You will add 5 and 4 since they both have an x in it. Which would leave you to 9x = 36. Only thing left to do is divide 36 by 9. Which would equal to 4 and that will be your answer. X=4

help please someone ​

Answers

Answer:

(fog)(x) =x –14

(gof)(x) =x

Step-by-step explanation:

[tex](fog)(x) = f(g(x)) \\ = 8( \frac{x - 7}{8} ) - 7 \\ = x - 7 - 7 \\ = x - 14[/tex]

[tex](gof)(x) = g(f(x)) \\ = \frac{(8x - 7) + 7}{8} \\ \\ = \frac{8x}{8} \\ \\ = x[/tex]

Which of the following values are solutions to the inequality 3x+10\ge 2?3x+10≥2?
\text{I.}\hspace{2px}-1\hspace{20px}\text{II.}\hspace{2px}3\hspace{20px}\text{III.}\hspace{2px}-11
I.−1II.3III.−11

\text{None}None
\text{I only}I only
\text{II only}II only
\text{III only}III only
\text{I and II}I and II
\text{I and III}I and III
\text{II and III}II and III
\text{I, II and III}I, II and III

Answers

9514 1404 393

Answer:

  I and II

Step-by-step explanation:

The inequality ...

  3x +10 ≥ 2

has solutions ...

  3x ≥ -8 . . . . . . . . subtract10

  x ≥ -2 2/3 . . . . . divide by 3

Of the answer choices {-1, 3, -11}, the ones that are greater than -2 2/3 are ...

  -1, 3 . . . . . . I and II only

Calculus please help

Answers

Answer:

The balloon is rising at a rate of 50π/3 feet per minute.

Step-by-step explanation:

A weather balloon is rising vertically while being observed from a point who is exactly 300 feet away from the spot directly beneath the ground.

This is represented in the diagram below.

We want to find the rate at which the balloon is rising (i.e. find dh/dt) when the angle between the ground and the observer is π/6 (i.e. when θ = π/6), and is increasing at a rate of π/24 radians per minute (i.e. when dθ/dt = π/24).

Write a ratio relating the variables:

[tex]\displaystyle \tan \theta = \frac{h}{300}[/tex]

Take the derivative of both sides with respect to t:

[tex]\displaystyle \frac{d}{dt}\left[ \tan\theta\right] = \frac{d}{dt}\left[ \frac{h}{300}\right][/tex]

Implicitly Differentiate:

[tex]\displaystyle \sec^2\theta \cdot \frac{d\theta}{dt} = \frac{1}{300} \frac{dh}{dt}[/tex]

Substitute in known values:

[tex]\displaystyle \sec^2 \left(\frac{\pi}{6}\right) \left(\frac{\pi}{24}\right) = \frac{1}{300} \frac{dh}{dt}[/tex]

Solve for dh/dt:

[tex]\displaystyle \begin{aligned} \frac{dh}{dt} &= 300\left(\sec^2\left(\frac{\pi}{6}\right)\left(\frac{\pi}{24}\right)\right) \\ \\ &= 300\left(\frac{4}{3}\right)\left(\frac{\pi}{24}\right) \\ \\ &= \frac{50\pi}{3} \text{ feet per minute}\end{aligned}[/tex]

In conclusion, the balloon is rising at a rate of 50π/3 feet per minute.

In ΔPQR, sin P = 0.2, sin R = 0.2 and r = 12. Find the length of p.

Answers

9514 1404 393

Answer:

  p = 12

Step-by-step explanation:

The sines of the opposite angles are the same, so the lengths of the sides are the same.

  p = 12

_____

The law of sines tells you ...

  p/sin(P) = r/sin(R)

  p/0.2 = 12/0.2 . . . . . . substitute given values

Multiply by 0.2 to get ...

  p(0.2/0.2) = 12(0.2/0.2)

  p = 12

What is the measurement??

Answers

Answer:

83°

.......................

Answer:

83

Step-by-step explanation:

hiiiiiiiiiiiiiiiiiiii my frndz give me the answer3x/4-2y/3=5
2x/5+3y/5=17

Answers

Answer:

[tex]thank \: you[/tex]

Write an
equation in slope intercept form y = mx +b.
6) slope = 4, y-intercept = -3

Answers

Answer:

y = 4x - 3

Step-by-step explanation:

Slope intercept form is made up of these components:

y = outputm = slopex = inputb = y-intercept

    The question gives you the slope and the y-intercept. Now all you need to do is substitute the values for the variables. Therefore, the equation is y = 4x - 3.

linear equation 5+3x=17​

Answers

Answer:

x=4

Step-by-step explanation:

5+3x=17

-5        -5

3x=12

3       3

x=4

Answer:

x = 4

Step-by-step explanation:

[tex]5+3x=17\\\\3x=12\\\\x=4[/tex]

Complete the equations.
28{,}770\div 10^2 =28,770÷10
2
=28, comma, 770, divided by, 10, squared, equals
28{,}770\div 10^3 =28,770÷10
3
=28, comma, 770, divided by, 10, cubed, equals
28{,}770\div 10^4 =28,770÷10
4
=28, comma, 770, divided by, 10, start superscript, 4, end superscript, equals

Answers

Answer:

a) 28,770 ÷ 10 ^ 2  = 287.7

b) 28,770 ÷ 10 ^ 3  = 28.77

c) 28,770 ÷ 10 ^ 4  = 2.877

PLEASEEEE HELPPP WITH THSI LLALST ONEEEE

Answers

Answer:

m∠AKD = 46°

Step-by-step explanation:

Answer:

<AKD = 46°

Step-by-step explanation:

Given,

Measure of <AKG = 133°

So,

<AKG = <AKD + <DKG (As both together combine to form one <AKG as shown)

=> 133° = <AKD + 87°

=> <AKD = 133° - 87°

=> <AKD = 46° (Ans)

The graph of a square root function has a domain of (0, ∞) and range of [1,∞). In two or more complete sentences, explain how the given range of the function can help you to the maximum or minimum y-value of the function.

Answers

Answer:

As per given domain and range we can conclude that:

The function has positive domain only, since x = (0, ∞).The function has minimum value of 1 and no maximum value, since y = [1, ∞)

Here

[tex]\\ \sf\longmapsto Domain=(0,\infty)[/tex]

[tex]\\ \sf\longmapsto Range=(1,\infty)[/tex]

The function has positive integral values as it lies in 1st Quadrant

[tex]\\ \sf\longmapsto (x,y)=(1,\infty)[/tex]

It has minimum value 1It has infinite or no maximum values

What makes composing functions different from doing an arithmetic operation of two functions such as adding or dividing them?

(50 points) please i beg xoxoxo

Answers

Answer:

the answer is that one tells about nomadic responses

while the other talks about seramic responses

what is the answer for this​

Answers

Answer: The highlighted digit 8 is in the tens place. The value of the 8 is 80

Step-by-step explanation:

The value of the 8 is 80 becuse it is in the tens place.

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