Mathematics High School

Find the solutions to the equation below.
Check all that apply.
30x^2 - 28x + 6 = 0
A. X = 4/5
B. X = 1/3
c. X = 1/2
D. X = 1/5
E. X = 3/5
F. X = 2/3

Find The Solutions To The Equation Below.Check All That Apply.30x^2 - 28x + 6 = 0A. X = 4/5B. X = 1/3c.

Answers

Answer 1

The solution to the equation 30x² - 28x + 6 = 0 is x = 3/5 and x = 1/3 option (B) and (E) are correct.

What is a quadratic equation?

Any equation of the form [tex]\rm ax^2+bx+c=0[/tex] where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.

As we know, the formula for the roots of the quadratic equation is given by:

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

We have a quadratic equation:

30x² - 28x + 6 = 0

a = 30, b = -28, and c = 6

Plug the values in the formula:

[tex]\rm x = \dfrac{-(-28) \pm\sqrt{(-28)^2-4(30)(6)}}{2a}[/tex]

After solving:

x = 3/5 or x = 1/3

Thus, the solution to the equation 30x² - 28x + 6 = 0 is x = 3/5 and x = 1/3 option (B) and (E) are correct.

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Related Questions

Please solve with explanation

Answers

Answer:

56+8√2=8(7+√2)

Step-by-step explanation:

1. P= AB+BC+CD+DE+EF+FG+GA

2. AB=DC=12

BC=16

AG=ED=4

AG+ED+GE=16

4+4+GE=16

GE=16-8

GE=8

GF²= EF²+GE²

GF²=64+64

GF²=128

GF=8√2

3.P= 12+16+12+4+8+8√2+4= 56+8√2

Answer:

Area = 160 sq cm

Perimeter = 67.31 cm

Step-by-step explanation:

Area of the figure = Area of rectangle with dimensions 16 cm and 12 cm - Area of the right triangle with base and height ecah 8 cm.

=16*12 - 1/2 * 8 *8

= 192 - 32

= 160 sq cm

GEF is a right triangle.

Therefore, by Pythagoras theorem:

[tex] FG^2 = FE^2 + GE^2 [/tex]

[tex] \therefore FG^2 = 8^2 + 8^2 [/tex]

[tex] \therefore FG^2 = 64+64 [/tex]

[tex] \therefore FG^2 = 128 [/tex]

[tex] \therefore FG =\sqrt {128}[/tex]

[tex] \therefore FG =11.3137085[/tex]

[tex] \therefore FG = 11.31\: cm[/tex]

Perimeter of the figure

= 12 + 16 + 12+4+8+11.31+4

= 67.31 cm

Find the slope of the line.
N
ローワー
E
5
6
2
Y
a. Undefined
C.
b. 0
d. -1

Answers

Answer:

They have undefined slopes

Step-by-step explanation:

The line is a vertical line

Vertical lines  are in the form x= constant

They have undefined slopes

please answer this!!!!

Jacob wanted to know what the most popular sneaker brand was of his classmates. His class had 30 students. To save time, he asked 10 boys the brand of sneakers that they were wearing. Of the students surveyed; Nike was the most popular sneaker brand.

Explain 2 ways Jacob's survey could have been more representative of his class's favorite sneaker brand.​

Answers

Answer:

He could have asked the girls as well, and could have asked the entire class instead of just 10 students.

Step-by-step explanation:

By only asking 10 boys, he is not getting a complete representation of the whole class, as their are 30 students in the class.

A bagel shop sold 8 plain bagels and 13 rye bagels. What is the ratio of the number of rye bagels to the number of plain bagels sold?

Answers

Answer:

13 : 8

Step-by-step explanation:

Number of plain bagels sold = 8

Number of rye bagels sold = 13

Ratio of the number of rye bagels to the number of plain bagels sold = 13 : 8

Also written as

13/8

Or

13 to 8

A bagel shop sold 8 plain bagels and 13 rye bagels. What is the ratio of the number of rye bagels to the number of plain bagels sold?

Answer: It is 13: 8.

What is the value of the expression?
8 1/2-2+4 3/4

Answers

11 1/4 or 11.25 is the answer

an object is kept at a distance of 15 cm from each of the above lens calculate the image distance and magnification o
f first image​

Answers

Answer:

answer is

Step-by-step explanation:

Object distance (u) = -100cm  Focal length (f) = 50cm Image distance = v  By lens formula; 1v−1u=1f1v−1u=1f ⇒ 1v−1−100=1501v−1−100=150 ⇒1v=150−11001v=150−1100 ⇒1v=2−1100−11001v=2−1100−1100 v =100cm  Hence the image is formed at 100 cm behind the lens.  Object distance (u) = -100cm  Focal length (f) = -25cm  Image distance = v  By lens formula;Read more on Sarthaks.com - https://www.sarthaks.com/951256/an-object-is-kept-at-a-distance-of-100-cm-from-each-of-the-above-lenses-calculate-the?show=951265#a951265

Arrange the following in ascending order. 1/2 1/4 3/4 1​

Answers

Answer:

1/4

1/2

3/4

1

Step-by-step explanation:

1/2 = 0.5

1/4 = 0.25

3/4 = 0.75

1 = 1

Sienna is determining the solution 6b + 12 = 102 A:15 B:17 C:90 D:102​

Answers

A.15
102-12=90
90/6=15

1. Area =
Perimeter =
help me pls i wanna go home ;(

Answers

Answer:

Area of a triangle=1/2base x height

1/2x12x4

6x4

24units

Perimeter is the distance round the given figure

9+12+5

26units

. has endpoints B(5, 9) and C(–4, –3). Find the coordinates of the midpoint of . (0.5, 1.5) (1, 3) (0.5, 3) (1, 6)

Answers

Answer:

(0.5,3)

Step-by-step explanation:

Hi there!

We are given a line that has the endpoints of (5,9) and (-4,-3); we need to find the midpoint of the line.

The midpoint formula is given as ([tex]\frac{x_{1}+x_{2} }{2}[/tex], [tex]\frac{y_{1}+y_{2}}{2}[/tex]), where [tex]x_{1}[/tex], [tex]x_{2}[/tex], [tex]y_{1}[/tex], and [tex]y_{2}[/tex] are values of coordinate points

to avoid any confusion, we can label the values of the coordinates and then substitute them into the formula to find the midpoint

[tex]x_{1}[/tex]=5

[tex]y_{1}[/tex]=9

[tex]x_{2}[/tex]=-4

[tex]y_{2}[/tex]=-3

now substitute into the formula

so to find the value x in the midpoint, we'll use this part of the formula: [tex]\frac{x_{1}+x_{2} }{2}[/tex]

substitute 5 and -4 into the formula

[tex]\frac{5+-4}{2}[/tex]

do the addition on the numerator

[tex]\frac{1}{2}[/tex] or 0.5

now let's find the value of y in the midpoint. we'll use this part of the formula: [tex]\frac{y_{1}+y_{2}}{2}[/tex]

substitute 9 and -3 into the formula

[tex]\frac{9+-3}{2}[/tex]

do the addition on the numerator

[tex]\frac{6}{2}[/tex] or 3

Therefore the midpoint is (0.5,3)

Hope this helps! :)

which phase best describes the translation from tge graph y=2(x-15)^2 to the graph of y=2(x-11)^2+3?​

Answers

Answer:

Graph translates 4 units to the left then 3 units up.

Step-by-step explanation:

The constant in the bracket changes for - 15 to -11 . A change of + 4.

This shifts  the whole graph horizontally 4 units to the left.

The + 3 moves the whole graph 3 units upwards.

Answer this PLZZZZZZ

Answers

Answer:

Hy^2 = H^2 + B^2

= 7^2 + 12^2

D.) = 193 square root

Help me please
How many solutions does the equation
x -4 = 12 - 2x have? Explain.
- ? .

Answers

Answer: one solution.

Step-by-step explanation:

[tex]\dfrac{2}{3} x-4=12-2x\\\\\dfrac{2}{3} x+2x=12+4\\\\2\dfrac{2}{3} x=16\\\\\dfrac{8}{3} x=16\\\\8x=16 \cdot 3\\\\8x=48\\\\x=\dfrac{48}{8} =6[/tex]

This equation has one solution:  x = 6.

A. write the ratio of girls to boys in the class with 12 girls and 15 boys. reduce to the lowest terms.
B. use the information from part A to estimate the number of girls in the school if there are a total of 1350 students in the whole school and in part A is representative of all classes in the school
WILL GIVE BRAINLIEST plz

Answers

A I think is the right answered

Please help I’ll give brainliest

Answers

Answer:

The answer is 9².

Step-by-step explanation:

9⁵ = 59049

9³ = 125

59049 ÷ 125 (9⁵ ÷ 9³) = 81

9² (9 × 9) = 81

Hey guys, I really need some notes on Trigonometric Identities. So can someone please assist me, please it's urgent. (´･_･`)​

Answers

There are six trigonometric ratios, sine, cosine, tangent, cosecant, secant and cotangent. These six trigonometric ratios are abbreviated as sin, cos, tan, csc, sec, cot. These are referred to as ratios since they can be expressed in terms of the sides of a right-angled triangle for a specific angle θ.

6ײ+3×y-2a×-ay (need answers) ​

Answers

Answer:

(If the x means the variable in your equation) 2a^2y+6x^2+3xy

Step-by-step explanation:

We have to simplify the equation to find the answer

6x^2+3xy−2a(−a)y

=6x^2+3xy+2a^2y

An empty container has a capacity of 60000 liters to 1 s.f. Tony pours in 5400 liters of water to 2 s.f. He says he filled more than 10 % of container is he correct ? Show working

Answers

Answer:

Tony poured is 9% of the total

Step-by-step explanation:

Given data

The capacity of the container= 60000 liters

Amount of water that tony pours=  5400 liters

Let us compute the percentage to know if it is up to 10%

= 5400/60000*100

=0.09*100

=9%

Hence the amount of water Tony poured is 9% of the total

Answer:

He is wrong

Step-by-step explanation:

60 000 LB=55000

60 000 UB=65000

5400 LB= 5350

5400 UB=5450

65000x0.10=6500

55000x0.10=5500

he is wrong

Jaheem has a goal running a total of 125 miles this month. Each day that he ran, he ran 7 miles. Which expression could Jaheem use to determine how many miles he has left to run after running for d days?
x a.
125 – 7d


x b.
7d + 125


x c. fraction numerator 125 over denominator 7 d end fraction

x d.
7d

Answers

Answer:

a. 125 – 7d

Step-by-step explanation:

Let d be the number of days.

Given the following data;

Total distance (month) = 125 miles

Distance covered per day = 7 miles

To determine how many miles he has left to run after running for "d" days, this mathematical expression can be used;

Total distance - distance covered per day = number of miles remaining

[tex] 125 - 7d [/tex]

Determine whether the given equation has one solution, no solution, or infinitely many solutions. 2/3 x=9-2(-1/3x+3)

infinitely many solutions
no solution
cannot be determined
one solution

Answers

The answer is no solution

If y=2x+5, then determine the value of y if x=4.

Answers

y= 11.
2 plus 4 is 6 and 6 plus 5 is 11.

If you vertically compress the absolute value parent function, Fx) = \X, by
multiplying by, what is the equation of the new function?

Answers

Answer:

I don't know this answer snsjsnsjskanwnkanwnksnesjisjwjww

I need your help!!!

In which triangle is the value of x to tan^-1(3.1/5.2)??

(Images may not be drawned on the scale)

Answers

First one I believe

The angle of x in the right angle triangle is 30.80 degrees

Right angle triangle:

Right angle triangle have one of it angles as 90 degrees. The angles can be found using trigonometric ratios.

Let's find the angle x using trigonometric ratios;

tan x = opposite / adjacent

Therefore,

tan x = 3.1 / 5.2

x = tan⁻¹0.59615384615

x = 30.7991697243

x ≈ 30.80°

Therefore, the angle of x is 30.80 degrees

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Total health care costs in the United States in 2016 was $1.7 trillion. he US population was 290.9 million. What was the average amount spent per person on health care?

Answers

Answer:

$5,843.9

Step-by-step explanation:

2016

Total health care cost in US = $1.7 trillion

= $1,700,000,000,000

Population in US = 290.9 million.

= 290,900,000

Average amount spent per person on health care = Total health care cost in US / Population in US

= 1,700,000,000,000 / 290,900,000

= $5843.9326228944

Approximately,

$5,843.9

To the nearest whole number

= $5,844

Name the marked angle in 2 different ways.

Answers

1) angle LKM

2) angle MKL

Mr. Alen has a tank of volume 450 cm3. Convert the volume into “m3

Answers

Answer:

0.000450 m3

Step-by-step explanation:

0.000450 m3 yeah yeah

Point T is on
SU ST=20 and TU=8
what is SU?

Answers

SU would be 28 units because T is between S and U so you have to add ST and TU to get the length of the entire line

4400 dollars is place in an account with annual interest rate of 8.25% How much will be in the account after 22years to the nearest cent

Answers

Answer: A = 4400(1 + 0.0825 x 22)

Step-by-step explanation:

A = accumulated amount

P = original amount  unloaded- $4400

r = rate - 8.25% = 0.0825

t = years = 22

= 4400(1 + 0.0825 x 22)

Answer:

y = 25169.04

Step-by-step explanation:

Day
Average speed, s
(miles per hour)
7.2
Number of
calories burned,
616
6.8
584
Monday
Thursday
Friday
Saturday
7.9
672
8.5
720
On certain days of the week, Elaine runs for an
hour on a treadmill. For each day that she ran in
the last week, the table above shows the average
speed s at which she ran, in miles per hour, and
the number of calories c she burned during the
run. If the relationship between c and s can be
modeled by a linear function, which of the
following functions best models the
relationship?
A) c(s) = 30s + 400
B) c(s) = 60s + 210
C) c(s) = 80s + 40
D) c(s) = 90s - 30

Answers

Answer:

ran" (and any subsequent words) was ignored because we limit queries to 32 words.

Name the marked angle in 2 different ways.

Answers

1) angle LJK

2) angle KJL

The marked angle can be named as angle LJK and angle KJL.

What is angle?

An angle is a corner whether constituting a projecting part or a partially enclosed space. It is a combination of two rays with a common endpoint.

How to name angles?

The angle can be named in two ways depending on the rays that are making angle.In our question the marked angle can be named as LJK and opposite if this KJL because it does not change the value of angles. Whether we start writing from one point to second point and from second point to first point. Main point is that the point at which the angle is formed comes in between both the points of rays.

Hence the marked angle can be named as angle LJK and angle KJL.

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