Answer:
The solutions to the quadratic equation using the quadratic formula will be:
[tex]x=\frac{1}{2},\:x=\frac{1}{4}[/tex]
Step-by-step explanation:
Given the equation
[tex]8x^2-6x+1=0[/tex]
solving with the quadratic formula
[tex]\mathrm{For\:a\:quadratic\:equation\:of\:the\:form\:}ax^2+bx+c=0\mathrm{\:the\:solutions\:are\:}[/tex]
[tex]x_{1,\:2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]
[tex]\mathrm{For\:}\quad a=8,\:b=-6,\:c=1[/tex]
[tex]x_{1,\:2}=\frac{-\left(-6\right)\pm \sqrt{\left(-6\right)^2-4\cdot \:8\cdot \:1}}{2\cdot \:8}[/tex]
as
[tex]\sqrt{\left(-6\right)^2-4\cdot \:8\cdot \:1}=2[/tex]
so
[tex]x_{1,\:2}=\frac{-\left(-6\right)\pm \:2}{2\cdot \:8}[/tex]
Separating the solution
[tex]x_1=\frac{-\left(-6\right)+2}{2\cdot \:8},\:x_2=\frac{-\left(-6\right)-2}{2\cdot \:8}[/tex]
solving
[tex]x_1=\frac{-\left(-6\right)+2}{2\cdot \:\:8}[/tex]
[tex]=\frac{6+2}{2\cdot \:8}[/tex]
[tex]=\frac{8}{16}[/tex]
[tex]=\frac{1}{2}[/tex]
and
[tex]x_2=\frac{-\left(-6\right)-2}{2\cdot \:8}[/tex]
[tex]=\frac{6-2}{2\cdot \:\:\:8}[/tex]
[tex]=\frac{4}{16}[/tex]
[tex]=\frac{1}{4}[/tex]
Therefore, the solutions to the quadratic equation using the quadratic formula will be:
[tex]x=\frac{1}{2},\:x=\frac{1}{4}[/tex]
Answer:
1/4 1/2
Step-by-step explanation:
Caleb's car used 8 gallons to travel 144 miles. How far can he travel on 20 gallons?
Answer:
360miles
Step-by-step explanation:
8/2=4
144/2=72
72x5=360
Answer:
360 miles
Step-by-step explanation:
8/2=4
144/2=72
72x5=360
he steps below describe the construction of a line AG that is parallel to segment PQ and passes through a point A outside of PQ: Step 1 shows a segment PQ with an external point A. A line drawn from A intersects PQ at a point B. Step 2 shows an arc drawn from B that intersects BQ in D and BA in E. Step 3 shows an arc drawn from Point A that intersects the segment BA extended in a point F. Which statement describes the next step?
Answer: Point G is obtained by using the same compass width and drawing an arc from point F, intersecting the arc drawn from A
Step-by-step explanation:
I took the test and got the right answer
The steps for constructing a parallel line require steps for constructing
angles of equal measures.
The statement that describes the next step is; The width of the compass is adjusted to DE and an arc is drawn from point F.Reasons:
The steps to construct the AG parallel to PQ, passing through the point A
outside of PQ are as follows;
Step 1; A line is drawn from point A to intersect PQ at point B.
Step 2; From point B on PQ, an arc is drawn intersecting segment BQ of PQ at D and segment BA at point E.
Step 3; To construct the angle equal to angle ∠DBE at point A, an arc is drawn from Point A with radius BD, that intersects the segment BA extended in point F
Therefore;
To construct an angle equal to the angle ∠DBE to point A, we have;
The width of the compass is adjusted to DE, and an arc is drawn from point F to intersect the arc drawn from point A with radius BD at point G.The points A and G can then be joined with a straight line and extended to form the line AG.
The correct option is therefore;
The width of the compass is adjusted to DE and an arc is drawn from point FLearn more about constructing a parallel line here:
https://brainly.com/question/13186267
One angle of an isosceles triangle measures 94 degrees. Which other angles could be in that isosceles triangle？Choose all that apply.
Answer:
43
Step-by-step explanation:
Other two angles are equal and let it be 'x'
x + x + 94 = 180
2x + 94 = 180
2x = 180 - 94
2x = 86
x = 86/2
x = 43
Please help quick it would help a lot
Answer:
first of all take out your graph copy and start making the drawing of that craft picture graph picture now you need to justica centre of daily nation and point on it and just write about by this way we can so easily so that the centre off the leash and can be soon on
A teacher bought 12 packets of crayons. Seven of the packets had 9 crayons. How many crayons did the teacher buy in all?
ASAP Noya noods to determine the number of books that will fit into a box. If the box has a length of 18 inches and each book is
2
of an inch thick, which expression can be used to determine the number of books that will fit into the box?
O 18
18-3
0 18x}
18
O
Answer:
the correct answer would be B
( 18-3 )
Step-by-step explanation:
Answer: 2/9 x = 18; If the total amount of space is 18 inches, and each book is 2/9ths of an inch thick, you have to use x to figure out the missing value of how many books will fit
Step-by-step explanation:
In the diagram, lines AB , CD, and EF intersect at G
Answer:
D. 70°
Step-by-step explanation:
Given:
m<DGB = 35°
m<CGF = 75°
Required:
m<AGE
SOLUTION:
m<EGD = m<CGF (vertical angles are congruent)
m<EGD = 75°
m<AGE + m<EGD + m<DGB = 180° (angles on a straight line)
m<AGE + 75° + 35° = 180° (substitution)
m<AGE + 110° = 180°
Subtract 110 from each side of the equation
m<AGE = 180° - 110°
m<AGE = 70°
help me and i will give you brainliest and i will give you 100 points.
Write an expression using fractions to show how to determine the amount that each person will pay. Then calculate each person's contributions showing all steps in long division
Jennifer
Milkshake
2.99 cost
Hot wings
5.69 cost
fries
2.79cost
11.47 subtotal
10 tip
21.47 total
Friend #1
burger
5.19 cost
Chilli dog
1.45 cost
fries
2.79 cost
9.43 subtotal
5 tip
14.43 total
Friend #2
milkshake
2.99 cost
Hot boneless wings
3.49 cost
fries
2.79cost
9.27 subtotal
4 tip
13.27 total
Friend #3
Spicy chicken sandwich
2.19 cost
burger
5.19 cost
milkshake
2.99 cost
10.37 subtotal
15 tip
25.37 total
Answer:
$18.64Step-by-step explanation:
Total amount to be paid is the sum of 4 bills:
21.47 + 14.43 + 13.27 + 25.37 = $74.54Divide the total by the number of people:
74.54/4 = 18.635 = $18.64 rounded to the nearest centIf the total to be paid equally, then each person has to pay $18.64
kofi and kojo were given 380 to share .kojo had 75 more than kofi. If kofi share is x find an expression for kojo share
Answer:
227.5
Step-by-step explanation:
x=Kofi
x+75=Kojo
x+x+75=380
2x+75=380
2x=305
x=152.5
Kojo=152.5 plus 75
227.5
50 POINTS ANSWER FAST PLEASE
Answer:
Question 2.) 16
144÷9=16
Question 3.) 16
16÷12=1.33... and all the others equal 1.33... as well
Question 4.) 20
20÷16=1.25 and all tho others equal 1.25 as well
Question 5.)12
8÷12=0.66... and all the others equal 0.66.... as well
I hope this is good enough for you:
Answer:
The first one is 16
The second one is 14
*not sure about the second one*
Step-by-step explanation:
Miss Watson runs a distance of 200 metres in 25 seconds.
Work out the average speed of Miss Watson in metres per second
Answer:
8mps
Explantion:
200 / 25 = 8
8 miles per second.
8mps * 25 seconds = 200 miles
Answer:
average=total distance/time
average = 200/25 =8 m/s
Step-by-step explanation:
pls help!!! giving brainliest
Answer:
He should use a counterclockwise rotation about point C with an angle of rotation of (Show me the options for me to give you an answer!)
Step-by-step explanation:
Please give brainliest, hope this helps!
Plz Hurry This Is Timed
8q + 6 = 4q - 14
Please help
Answer:
q = - 5
Step-by-step explanation:
Triangle ABC is shown in the diagram below. Show two different ways that you can determine the measure of ABC
Step-by-step explanation:
vertical angles or line pairs
c=60
180-120=60
180-131=49
60+49=109
180-109=71
The ratio of the length of a recentangle house to the width is 7:3. If the house is 2,341 feet long, how wide is it
Which could you use to prove triangle AED is congruent to triangle CEB?
I say side, side, angle or SSA.
anyoneeee know???????
Answer:
60
Step-by-step explanation:
can u pls help me with this question
Answer:
7.65
Step-by-step explanation:
The total cost for 8 is 20.40, so you want to find what the cost for one panel is by dividing the total cost by the amount, which would be 20.40/8=2.55 then you want to know how much 3 of them cost, to find that you just multiply the cost of one of them by three, which would be 7.65
Which inequality is a true statement?
Select each correct answer
–4= -5
O-
4-5
-4 < -5
-4 2-5
-4 < -5
Answer:-4 > -5
Step-by-step explanation:
Answer:
b -4 <-5
Step-by-step explanation:
Evaluate the factorial.
11!
Answer:
The factorial of 11! is exactly 39916800
The number of trailing 0s in 11! is 2
The number of digits in 11 factorial is 8.
The factorial of 11 is calculated as below:
11! = 11 • 10 • 9 • 8 • 7 ... 3 • 2 • 1
Step-by-step explanation:
376 feet above sea level
Answer:
376 feet high standard
Step-by-step explanation:
above sea level its positive
If √x has a decimal approximation of 3.4, then x is between which two integers? In your final answer, include all calculations.
Step-by-step explanation:
b Jawaban
semoga bermanfaat ✨⬅️
Jamal runs for a track team. He ran 2 1/10 miles in 1/3 of an hour. What was Jamal’s rate of speed?
Answer:
6 3/10 mph.
Step-by-step explanation:
CORRECT ANSWER GETS BRAINLIEST
spell red.
what color is a carrot
if you dig a 6 feet hole, how deep is that hole.
who said "People gotta wash dey hands a cuppa times a day"
Answer:
r-e-d.
naranja (orange) with a green stem.
I think about 19 feet deep.
Lester Green from Beetle Juice!!
Answer:
L S T E R
I think is uhhh..a carrot
It’s about like 20 feet
Beetlejuice Green
Step-by-step explanation:
f(x) = 3x + 2
What is f(5)?
PLEASE HELP!!!!
The function ƒ(x) is a translation of the exponential function g(x) = 6x. What's ƒ(x) if the translation is down 3 units and right 7 units?
Answer:
f(x) = 6ˣ⁻⁷-3
Step-by-step explanation:
The basic transformations of an exponential function from the parent function can be given by the equation:
f(x) = b^x [parent exponential function]
f(x) = ab^((x/c)-h) + k [transformation of parent exponential function]
Where b is the parent growth or decay, a is the vertical stretch or compression, c is the horizontal stretch or compression, h is the horizontal translation, and k is the vertical translation.
Given a translation down 3 units, and another translation right 7 units, we are only using h, and k.
Given that our original function is g(x) = 6ˣ. We know our parental growth or b is 6. So just substitute our quantities and solve:
f(x) = g(x-7) - 3 → (1)6^((x/1)-7) - 3 → 6^(x-7) - 3 → 6ˣ⁻⁷-3.
Answer:
f(x) = 6ˣ⁻⁷-3
Step-by-step explanation: I took the test
which of the following is the best deal?
a. 6 oz box of crackers for $1.08
b. 7-oz box of crackers for $1.19
c. 8-oz box of crackers for $1.20
d. 9-oz box of crackers for $1.26
AD, BE, and CF are all diameters of the circle. The measure of angle AOB is 40 degrees. The measure of angle DOF is 120 degrees
В.
I
А.
401
D
O
E
Find the measures of the angles:
1.
BOC
2.
COD
Answer:
60 degres
Step-by-step explanation:
how you do it is 40 + 40 then 280 / 4
Find the measure of angle b
Answer:
b= 49 degrees
Step-by-step explanation:
That is a 90 degree angle. And 90-41 is 49
Answer: acute
Step-by-step explanation:did the test