Answer:
The complex solutions are
[tex]x = (\frac{7-\sqrt{35} i }{42} , ) x = \frac{7 + \sqrt{35} i }{42})[/tex]
Step-by-step explanation:
Step(i):-
Given equation 7 x² - 7 x +3=0
[tex]x = (\frac{-b -\sqrt{b^{2}-4ac } }{2ac} , \frac{-b +\sqrt{b^{2}-4ac } }{2ac})[/tex]
Given standard equation
a x² +b x +c =0
a = 7 , b= -7 and c=3
Step(ii):-
[tex]x = (\frac{-(-7) -\sqrt{(-7)^{2}-4(7)(3) } }{2(7)(3)} , \frac{-(-7) +\sqrt{(-7)^{2}-4(7)(3) } }{2(7)(3)})[/tex]
[tex]x = (\frac{7-\sqrt{(49-84 } }{42} , \frac{7 +\sqrt{(49-84 } }{42})[/tex]
[tex]x = (\frac{7-\sqrt{35i^{2} } }{42} , \frac{7 + \sqrt{35i^{2} } }{42})[/tex]
[tex]x = (\frac{7-\sqrt{35} i }{42} , \frac{7 + \sqrt{35} i }{42})[/tex]
45x - 18 factored i really need help
How do you factor the polynomial 3x^2 + 8x^2 - x - 10 = 0?
Answer:
x = 1 and x = -10/11
Step-by-step explanation:
3x² + 8x² - x - 10 = 0
11x² - x - 10 = 0
(11x + 10)(x - 1) = 0
11x + 10 = 0
11x = -10
x = -10/11
x - 1 = 0
x = 1
If you randomly select a card from a well-shuffled standard deck of 52 cards, what is the probability that the card you select is a 2 or King?
Answer:
0.1538
Step-by-step explanation:
There are 8 cards that are either 2s or Ks.
P(2 or K) = 8/52
P(2 or K) = 0.1538
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Triangle Sum Theorem CLASSWORK
Answer:
[tex]8x + 32 + 116 = 180 \\ 8x + 148 = 180 \\ 8x = 180 - 148 \\ 8x =32 \\ \boxed{x = 4}[/tex]
4 is the right answer.[tex](7x + 5) + 52 + 67 = 180 \\ 7x + 124 = 180 \\ 7x = 56 \\ \boxed{x = 8}[/tex]
8 is the right answer.Answer & Step-by-step explanation:
5). x = 4
6). x = 8
You can write in the comments if you want an explanation.
Hope this help ;)
The total cost, in dollars, to order x units of a certain product is modeled by C(x)=5x²+320 . According to the model, for what size order is the cost per unit a minimum?
A) An order of 1 unit has a minimum cost per unit.
B) An order of 8 units has a minimum cost per unit.
C) An order of 80 units has a minimum cost per unit.
D) An order of 320 units has a minimum cost per unit.
Answer:
The minimum cost per unit is obtained for an order of 8 units.
Step-by-step explanation:
Since the total cost is modeled by;
C(x)=5x²+320
Then;
1 unit costs; C(x)=5(1)²+320 = 325
cost per unit 325/1 = 325
8 units costs; C(x)=5(8)²+320 = 640
cost per unit = 640/8 = 80
80 units costs; C(x)=5(80)²+320 = 32320
Cost per unit = 32320/80 = 404
The minimum cost per unit is obtained for an order of 8 units.
Solve equation by using the quadratic formula.
[x^{2} + 4x = -4
a. x = -2
b. x = -4
c. x = -4, x = 4
d. x = 0, x = 4
Mr. Santor cuts 1/2 of a piece of construction paper. He uses 1/6 of the piece to make a flower. What fraction of the sheet of paper does he use to make the flower?
Answer:
1/12
Step-by-step explanation:
1/2 multiplied by 1/6 equals 1/12
Find a solution to the linear equation y=6x−18 by filling in the boxes with a valid value of x and y.
Answer:
[tex](x,y) = (1,-12)[/tex]
Step-by-step explanation:
Given
[tex]y = 6x - 18[/tex]
Required
Find a solution
To do this, we assume a value for x, then solve for y.
Let x = 1
Substitute 1 for x in [tex]y = 6x - 18[/tex]
[tex]y = 6*1 - 18[/tex]
[tex]y = 6 - 18[/tex]
[tex]y= -12[/tex]
Hence, a solution is:
[tex](x,y) = (1,-12)[/tex]
HHHHHHEEEEEEEELLLLLLLLLLLLLLLLPPPPPPPPPPPPPP MMMMMMMMMMMMMMMEEEEEEEEEEEEEEEEE WILL GIVE BRAINLESSS
Answer: B. The x-Coordinate is Positive and the Y- Coordinate is Negative
Step-by-step explanation: Get a Coordinate Plane Picture with the Coordinates labeled for reference.
Simplify the term
(2w^-2)^3(8w^6)
Answer:
64
Step-by-step explanation:
I need help plss dont lieplss and thank you
Answer:
B or C
hope this helps :)
A housing developer wants to create 45 house lots for every 10 acres of land. All the house lots will be the
same size and shape. Which of these is closest to the amount of land required to create 105 house lots?
Answer:
25 acres which is one of your choices
Step-by-step explanation:
Plz helpppp I will give the brainliest help me plz
Answer:
36
Step-by-step explanation:
Let the original quantity of marbles of the bag be y.
[tex]\frac{2}{3} (\frac{1}{2} )y=12[/tex]
y=36
Gail baked muffins. She sold 2/7 of the muffins on Monday. She sold 1/3 more of the muffins on Tuesday than on Monday. What fraction of the muffins did Gail sell on the Two days?
Answer:
13/21
Step-by-step explanation:
find common denominator 21
Monday 2/7 = 6/21
Tuesday 1/3 = 7/21
multiply the top by what you did the bottom for the common denominator to get the equivalent fraction
add the two fraction together by keeping the denominator the same
6+7=13
so 13/21
The dimensions of a rectangular building used to store tools for electrical lineman has a length of 12x + 24 feet and a width of 20x - 10 feet.
Write the expression that represents the area of the building, in terms of x.
Write the expression that represents the perimeter of the building, in terms of x.
If the perimeter is going to be 220 feet, what are the dimensions of the building
Answer:
a) Area = 2x^2 + 3x - 2
b) Perimeter = 64x + 28
c) Length = 60 feet and Width = 50 feet
Step-by-step explanation:
The computation is shown below:
Given that
length = 12x + 24 feet
And, the width be 20x - 10 feet
Now as we know that
Area of the rectangle = length × width
= (12x + 24) × (20x - 10)
= 12x (20x -10) + 24(20x - 10)
= 240x^2 - 120x + 480x - 240
= 240x^2 + 360x - 240
= 2x^2 + 3x - 2
Now for perimeter
As we know that
Perimeter of the rectangle = 2(Length + width)
= 2(12x + 24 + 20x - 10)
= 2(32x + 14)
= 64x + 28
In the case when the perimeter is 220
So,
220 = 64x + 28
64x = 220 - 28
64x = 192
x = 3
Now length is 12(3) + 24
= 36 + 24
= 60 feet
And, the width is
= 20(3) - 10
= 60 - 10
= 50 feet
Look at the model below.
375
238
What equation is represented by this model, and what is the
value of c?
OA) C-238 = 375, C = 613
OB) 375 +238 = C, C = 613
Oc) 238 + C = 375, C = 137
OD 238 - C = 375, C = 137
Answer:
C
Step-by-step explanation:
c) 238 +C=375
or, C=375-238
or, C=137 answer
Answer:
The answer is C
Step-by-step explanation:
I got it right
Two angles are complementary. The measurement of ∠GHI is (5x+6)∘ and ∠JKL measures (3x+4)∘. What are the measures of the two angles?
Answer:
Angle GHI measures 56º, and angle JKL measures 34º.
Step-by-step explanation:
Complementary Angles:
If two angles are complementary, the sum of their measures is 90º.
∠GHI is (5x+6)∘ and ∠JKL measures (3x+4)∘.
Since they are complementary:
[tex]5x + 6 + 3x + 4 = 90[/tex]
[tex]8x + 10 = 90[/tex]
[tex]8x = 90 - 10[/tex]
[tex]8x = 80[/tex]
[tex]x = \frac{80}{8}[/tex]
[tex]x = 10[/tex]
Measures:
GHI: 5*10 + 6 = 50 + 6 = 56º
JKL: 3*10 + 4 = 30 + 4 = 34º.
Angle GHI measures 56º, and angle JKL measures 34º.
The measures of the two angles are 56 and 34 degrees
The sum of complementary angles is 90degrees
Given the measurement:
GHI is (5x+6)∘ and;∠JKL measures (3x+4)Taking the sum and equating to 90 degrees
5x + 6 + 3x + 4 = 90
8x + 10 = 90
8x = 90 - 10
8x = 80
x = 10
∠GHI = 5(10) + 6
∠GHI = 56 degrees
∠JKL = 90 - 56
∠JKL = 34degrees
Hence the measures of the two angles are 56 and 34 degrees
Learn more on complementary angles here: https://brainly.com/question/20728641
1 point
36. Colby put $100 in a savings account. The graph below shows how the amount will increase over the
next ten years. What does the y-intercept represent?
Answer
The amount in Colby's account per yer
Explanation
Refer to the left side of the graph. When looking for the y-intercept's units/other information, always review the left hand side of the graph as that will display the information of the vertical line, known as the y axis, where the y-intercept lies
Need help me please is math.
Kaylen mixed two liquids for a science experiment. One container held 7/8 cup and the other held 9/10 cup. What is the total amount of the mixture?
1) Can a line have a slope of 1.25? Exp
What is the value of the digit 4 in 1,601,403
Answer:
The value of 4 is 400
Step-by-step explanation:
Answer:
hundred
Step-by-step explanation:
side length z =
angle d =
Answer:
a) side length z = 19.965 ≅ 20m
b) angle 'd' = 53.13°
Step-by-step explanation:
Step(i):-
Given that ∠HIG is a right angle triangle
Given∠I = 53°
By using the sine function
[tex]sin53 = \frac{opposite side}{hypotenuse} =\frac{z}{25}[/tex]
z = 25 × sin53° = 25×0.798635
z = 19.965 ≅20 m
Step(ii):-
[tex]sind = \frac{8}{10} = \frac{4}{5}[/tex]
⇒ [tex]d = sin^{-1} (\frac{4}{5} )[/tex]
⇒ d = 53.13°
Final answer:-
a) side length z = 19.965 ≅ 20m
b) angle 'd' = 53.13°
Granny Smith is making strawberry jelly. She fills 6.5 ounce jars to give as gifts. Granny was able to fill 9.5 jars. How many ounces of strawberry jelly did Granny Smith make?
Jan created a garden that was 8.5 yards long and 5.95 yards wide. What is the difference between the length and width of the garden? please dont take my points, actually answer the question.
Subtract the width from the length.
8.5 - 5.95 = 2.55 yards
can someone please help me?
Answer:
6
Step-by-step explanation:
Quadrilateral DEFG is similar to quadrilateral HIJK. Find the measure of side KH.
Round your answer to the nearest tenth.
G
K
13
D
F
7
E
H
J
29.4
I
Answer:
[tex]KH = 55[/tex]
Step-by-step explanation:
Given
See attachment
Required
Find KH
From the attachment:
[tex]GD = 13[/tex] [tex]DE = 7[/tex]
[tex]HI = 29.4[/tex]
To find KH, we make use of the following equivalent ratio:
[tex]GD : DE = KH : HI[/tex]
Substitute values for GD, DE and HI
[tex]13 : 7 = KH : 29.4[/tex]
Convert to fractions
[tex]\frac{13}{7} = \frac{KH}{29.4}[/tex]
Make KH the subject
[tex]KH = \frac{13}{7} * 29.4[/tex]
[tex]KH = \frac{13* 29.4}{7}[/tex]
[tex]KH = \frac{382.2}{7}[/tex]
[tex]KH = 54.6[/tex]
[tex]KH = 55[/tex] --- approximated
what does 4f-2f + 3-f= equal
Answer:
f + 3
Step-by-step explanation:
Combine like-terms
4f - 2f - f +3
f + 3
Answer:
4f-2f+3-f
2f-f+3
f+3
f= -3
Step-by-step explanation:
PLEASE HELP ME ASAP!!!
Answer:
1.1r,-1r
2.-2x,5x
Step-by-step explanation:
i tgink tgis is what the answer os unless i am a doing the math wrong. so i hope im right and tgis helps
Suppose you have $20 in your bank account. You start saving $5 each week. Your friend has $5 in his account and is saving $10 each
week. Assume that neither you nor your friend makes any withdrawals.
After how many weeks will you and your friend have the same amount of money in your accounts? How much money will each of you
have?
Answer:
The answer is after 3 weeks you will have the same amount of money
Step-by-step explanation:
5x + 20 = 10x +5
5x - 10x = 5 -20
-5x = -15
x = -15/-5
x = 3