Answer:
a is 1.58 and b is 0.42
Step-by-step explanation:
[tex]{ \sf{3 {x}^{2} - 6x + 2 = 0 }} \\ { \sf{x = \frac{ - b± \sqrt{ {b}^{2} - 4ac} }{2a} }} \\ \\ { \sf{x = \frac{ - ( - 6)± \sqrt{ {( - 6)}^{2} - (4 \times 3 \times 2) } }{(2 \times 3)} }} \\ \\ { \sf{x = \frac{6± \sqrt{12} }{6} }} \\ \\ { \sf{x = 1.58 \: and \: 0.42}}[/tex]
Please help! Math question!
Answer:
n=4
Step-by-step explanation:
3n - (2+n) = 6
Distribute the minus sign
3n -2-n = 6
Combine like terms
2n-2 =6
Add 2 to each side
2n-2+2 = 6+2
2n = 8
Divide by 2
2n/2 = 8/2
n=4
The price of grapes at the grocery store is $1.44 per pound. There are approximately 0.45 kilograms in a pound. To the nearest cent, what is the price of grapes in dollars per kilogram?
$0.65 per kilogram
$0.99 per kilogram
$1.89 per kilogram
$3.20 per kilogram
Answer:
$3.20 / kg
Step-by-step explanation:
$1.44 / pound
so, this is normed to 1 pound = 0.45 kg.
now we want to transform that to have 1 kg as the norming unit.
for this we need to multiply the top and the bottom of the ratio with the same number, so that the value of the ratio remains unchanged, but that the bottom turns into 1 kg.
so, what do we need to turn 0.45 into 1 ?
0.45 × x = 1
x = 1/0.45 = 1/1 / 45/100 = 100/45 = 20/9 = 2.22222...
since we need to multiply top and bottom with the same factor, we get
(1.44/0.45) × (2.222222/2.222222) =
(1.44 × 2.222222) / (0.45×2.222222) =
(1.44 × 2.222222) / 1kg = $3.20 / kg
the answer is number 4 or d
what is everything i need to know about bearings?? i suck at them
Answer:
Step-by-step explanation:
bearing is the angle which a line makes with the north.
4² − 7 + 55 − 74 + 3 (Ascending with respect to n):
Answer:
If its supposed to be simplify it will be -7 . If your finding the derivative it is 0.
Step-by-step explanation:
Which is equivalent to the expression below?
3√3 + √6 + √12 - 2√3
A. 5√3
B. 3√3 + 6
C. 2√3 - √21
D. 5√3 - 6
Answer:
3√3 + √6 is the answer. so none is correct.
Step-by-step explanation:
= 3√3 + √6 + √12 - 2√3
= 3√3 + √6 + √4 X 3 - 2√3
= 3√3 + √6 + 2√3 - 2√3
= 3√3 + √6
| the British 50-pence coin shown on the right is in the shape of a
regular heptagon. Determine the measure of one interior angle.
Show your work.
For a regular polygon with n sides, interior angle
= [(n-2) × 180°]/n
So, interior angle of this regular heptagon shape
= [(7 - 2) × 180°]/7
= (5 × 180°)/7
= 900°/7
= (900/7)°
= 128.571° [approximately]
Answer:
hello,
Step-by-step explanation:
center angle : 360°/7 °
half interior angle=0.5*(180-360/7)=900/14=450/7 = 64 ° +2/7° ≈64.3 °
interior angle= 128°+4/7°≈128.6 °
What is the measure of
Answer:
DEF = 105
Step-by-step explanation:
The sum of the angles of a triangle is 180
28+47+DEF = 180
Combine like terms
DEF+75=180
Subtract 75 from each side
DEF +75-75 =180-75
DEF = 105
Answer: D
Step-by-step explanation: The answer is D because firstly we know that all right triangles add up to 180 degrees.
Using this knowledge we know 2 sides out of the 3. Therefore 47+28+x=180. Then we would add the first 2 numbers then minus 180 to get 105 as your last angle.
Can someone help me out plz
Answer:
The answer is 43.52 you're welcome
Help due in 20 mins!
What is the slope of the line segment?
A graph is shown. The values on the x axis are 0, 1, 2, 3, 4, and 5. The values on the y axis are 0, 4, 8, 12, 16, and 20. A straight line joining the ordered pairs 0, 0 and 1, 4 and 2, 8 and 3, 12 and 4, 16.
Answer choices:
A.1 over 4
B.Negative 1 over 4
C. 4
D. −4
Answer: The answer is C. 4
Hope this helped!Step-by-step explanation:
(0,0) and (4,16)
(y1-y2)/(x1-x2)
0-16/0-4=16/4=4
17. DEFG is a square. Find the value
of x.
Answer:
x = 3
Step-by-step explanation:
All the angles of a square are 90°
The diagonals bisect the angles , then
5x² = 45 ( divide both sides by 5 )
x² = 9 ( take the square root of both sides )
x = [tex]\sqrt{9}[/tex] = 3
Relationship between q and t pleaseeee helppppp
Step-by-step explanation:
it is simple.
there is a constant speaking time of 25 minutes.
the duration of the meeting is the speaking time plus the question answering time.
so,
q = 1 means t = 25 + 1 = 26
q = 2 means t = 25 + 2 = 27
q = 3 means t = 25 + 3 = 28
q = 8 means t = 25 + 8 = 33
PLS ANSWER ASAP NO WRONG ANSWERS
Hi there!
Looking at the graph, the first intersection point is clear. The red parabola and blue line clearing intersect at the point (0, -1).
Find the second intersection point by setting the equations of both graphs equal to each other.
Line: y = 3x - 1
Parabola: y = 4x² - 1
Find another intersection point by setting these two equations equal to each other:
4x² - 1 = 3x - 1
Bring all terms onto one side:
4x² - 3x = 0
Factor out x:
x(4x - 3) = 0
Set 4x - 3 to 0 and solve:
4x - 3 = 0
4x = 3
x = 3/4
Plug in this value of x into an equation to solve for the y-coordinate. Use the linear equation for ease:
y = 3(3/4) - 1
y = 9/4 - 1
y = 5/4
(3/4, 5/4)
Can someone help me solve this?
Answer:
m<c = 104°
m<d = 80°
Step-by-step explanation:
Recall: Opposite angles of a cyclic quadrilateral are supplementary. Therefore, their sum equals 180°. Thus:
m<c + 76° = 180°
m<c + 76° - 76° = 180° - 76° (subtraction property of equality)
m<c = 104°
m<d + 100° = 180°
m<d +100° - 100° = 180° - 100° (subtraction property of equality)
m<d = 80°
Land surveyors outlined a park as shown. What is the area of the park?
Answer:
70.875
Step-by-step explanation:
Area of park=Area of rectangle+Area of triangle
Area of park=13.5*4.8+(0.5)*(13.5)*0.9=70.875
Solve the equation for all values of x.
(22 – 16)(x2 + 49) = 0
Please help
Answer:
-24.5 or 7i or -71 (see below)
Step-by-step explanation:
Im gonna guess that you mean (22-16)(2x+49)=0
Therefore, since one of the brackets must be equal to 0 and 22-16 is 6, 2x+49=0 so x is -24.5
However, if you meant (22-16)(x^2+49)=0
then x^2+49=0 so x^2 =-49
Therefore, the answer is complex and therefore 7i or -7i
3b of 9
The ordered pair (5, – 3) is a solution to which of the following inequalities?
o 4y + 2x < -1
oy > - 2x + 8
O-2y < 3x - 9
Oy - 2x > 5
Answer:
4y+2x ≤ -1
(5,-3)
4x(-3)+2×(5) ≤ -1
-12+10≤ -1
-2 ≤ -1
A) 4y+2x ≤ -1
~OAmalOHopeO
Select the correct answer from the drop-down menu.
There are two numbers. One number is twice the other number. The difference of the smaller number and half the larger number is 20.
An equation created to find the smaller number will have____.
1.) no solution
2.)one solution
3.)infinitely many solutions
Answer:
2
Step-by-step explanation:
x-2x÷2=20
x-x=20
0=30
no solution
how to convert base two to base three
Consider this example: say we want to convert x = 11 0101 1001₂ to base 3.
The binary expansion of x is
x = 1×2⁹ + 1×2⁸ + 1×2⁶ + 1×2⁴ + 1×2³ + 1×2⁰
which in base 10 reduces to
x = 512 + 256 + 64 + 16 + 8 + 1 = 857
Recall the first several powers of 3:
3⁰ = 1; 3¹ = 3; 3² = 9; 3³ = 27; 3⁴ = 81; 3⁵ = 243; 3⁶ = 729
Now it's a matter of computing quotients and remainders. Pick the largest power of 3 that fits into the target number, then check the remainder and repeat.
• How many times does the 729 go into 857? 1 time, and it leaves a remainder of 128, or
857 = 1×729 + 128 = 1×3⁶ + 128
• How many times does 81 go into 128? Also 1 time, so
128 = 1×81 + 47 = 1×3⁴ + 47
• How many times does 27 go into 47? Also 1 time,
47 = 1×27 + 20 = 1×3³ + 20
• How many times does 9 go into 20? 2 times,
20 = 18 + 2 = 2×9 + 2 = 2×3² + 2
• How many times does 1 go into 2? Also 2 times,
2 = 2 + 1 = 2×1 + 0 = 2×3⁰
So we found
857 = 1×3⁶ + 1×3⁴ + 1×3³ + 2×3² + 2×3⁰
which is the ternary expansion of x,
x = 1 011 202₃
(2x-7)²-6(2x-7)(x-3)=0
Answer:
-8x² - 106x + 175 = 0
Step-by-step explanation:
Given:
(2x - 7)²- 6(2x - 7)(x-3) = 0
Find:
Solution of the following explanation
Computation:
(2x - 7)²- 6(2x - 7)(x-3) = 0
[(2x)² + (7)² - (2)(2x)(7)] - (12x - 42)(x-3) = 0
[4x² + 49 - 28x] - [12x² - 36x - 42x + 126] = 0
[4x² + 49 - 28x] - [12x² - 78x + 126] = 0
-8x² - 106x + 175 = 0
PLEASE HELP!
Find the value of x.
Answer Options:
A. 12
B. 11
C. 10
D. 16
Explanation:
We use the intersecting chords theorem here.
This is the idea where multiplying the pieces of each chord lead to the same product
6*x = 5*12
6x = 60
x = 60/6
x = 10
Answer:
C.) 10
Step-by-step explanation:
I got it correct on founders edtell
Use the markings in the image to answer the following questions (drawing not to scale):
[image attached]
a. As you look at sides and , which side lengths are possible to calculate based on the information in the image?
b. For those side lengths which are possible to calculate, what steps would you take to calculate each side?
c. For those side lengths we don’t have enough information to calculate, what information would you need to complete the calculations?
Hope this helps!
There are 3 images with full explanation
HELP ME PLS!
i need the first 4 examples
Answer:
1) 6а-9b=3(2a-3b)
2)8a-12b=4(2a-3b)
3) 5ab-5ac=5a(b-c)
4) 6ax+6ay=6a(x+y)
What is the solution to the equation below? Round your answer to two
decimal places.
24•log(3x) = 60
A. x = 105.41
B. x = 316.23
C. x= 316.23
D. x = 224.54
Answer:
x = 105.41
Step-by-step explanation:
24•log(3x) = 60
Divide by 24
log (3x) = 60/24
log (3x) = 5/2
Raise each side to the power of 10
10 ^ log (3x) = 10^5/2
3x= 10 ^5/2
Divide by 3
3x/3 = 1/3 * 10 ^ 5/2
x = 1/3 (100 sqrt(10))
x=105.40925
To two decimal places
x = 105.41
(x − 5)∙ 3 = 2∙ 10 + 8
Answer:
x=17
Step-by-step explanation:
3x-15=20+16
3x-15=36
3x=36+15
3x=51
x=17
Jo bought a used car for $6000 and paid a 15% deposit. How much did he still have to pay?
Answer:
900 is the correct awnser
CAN SOMEONE HELP ME PLEASE
Select THREE expressions that are equivalent to -16x - 68.
A. -4(4x - 17)
B. -2(8x + 34)
C. 2( - 8x - 34)
D. 4( - 4x - 17)
E. 8( - 2x - 8)
got it wrong the first time :(
Answer:
b, c, d
Step-by-step explanation:
What is the value of the variable result after these lines of code are executed?
>>> a = 3
>>> b = 2
>>> c = 0
>>> result = a * b - c * b
Answer:
the answer is 6
Step-by-step explanation:
3×2-0×2=6
9.
Graph the data in the table. Which kind of function best models the data? Write an equation to model the data.
A. quadratic; y = 2.5x2
B. exponential; y = 2.5x
C. quadratic; y = –2.5x2
D. linear; y = 2.5x
Answer:
A. quadratic; y = 2.5x2
Step-by-step explanation:
Answer:
Option (1)
Step-by-step explanation:
x -2 -1 0 1 2
y 10 2.5 0 2.5 3.0
Ist difference,
= -2.5
= 2.5
= 7.5
2nd difference,
= 5
= 5
= 5
Since 2nd difference is common, given table represents a quadratic equation.
Let the equation is,
y = ax²+ bx + c
For a point (0, 0) passing through the quadratic equation,
0 = c
Therefore, quadratic equation is y = ax² + bx
Since ordered pair (-1, 2.5) passes through the graph of the function,
2.5 = a(-1)² + b(-1)
a - b = 2.5 ------(1)
For another point (1, 2.5)
2.5 = a(1)² + b(1)
a + b = 2.5 ------(2)
By adding equations (1) and (2),
2a = 5
a = 2.5
and from equation (2)→ y = 0
Therefore, equation of the quadratic function given in the table is y = 2.5x²
Option (1) is the answer.
hurryyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyy
Answer:
D. II & III
Step-by-step explanation:
II (x - 4)(2x + 9) = 2x² + x - 36
III (x - 4)(x - 6) = x²- 10x + 24
I has factors (x + 4)(x - 8)
IV has factors x(x - 16)
