Answer:
1. x =(3-√257)/4=-3.258
2. x =(3+√257)/4= 4.758
Step-by-step explanation:
irst add
x
to both sides of the second equation to get:
y = x + 3
Then substitute this expression for y into the first equation to get:
29 = x 2 + ( x + 3 ) 2 = 2 x 2 + 6 x + 9
Subtract 29 from both ends to get:
0 = 2 x 2 + 6 x − 20
Divide both sides by 2 to get:
0 = x 2 + 3 x− 10 = ( x+ 5 ) ( x − 2 )
So x = 2 or x = − 5
If x = 2 then y = x + 3 = 5 .
If x = − 5 then y=x + 3 = − 2
So the two solutions
( x, y ) are ( 2 , 5 ) and ( − 5 , − 2 )
Michele was making tuna salad for a party. The recipe for 10 servings called for 8 oz of mayonnaise. A total of 240 people were expected to be at the brunch. How much mayonnaise would Michele need?
1. Divide 240 by 10 = 24
2. Multiply 24 • 8 = 192
Michele will need 192 oz. of mayonnaise.
Answer:
192 oz
Step-by-step explanation:
Hi there!
1) Create a proportion
[tex]\frac{8 (oz)}{10(servings)} =\frac{x(mayo)}{240(servings)} \\\frac{8}{10} =\frac{x}{240}[/tex]
2) Solve for x
[tex]\frac{8}{10} =\frac{x}{240}[/tex]
Multiply both sides by 240
[tex]\frac{8}{10} *240=x\\192=x[/tex]
Therefore, Michele would need 192 oz of mayonnaise.
I hope this helps!
can anyone answer this? (2y²-3xy)÷y.
Answer:
2y - 3x
Step-by-step explanation:
Given
(2y² - 3xy) ÷ y
Divide each term on the numerator by y , that is
[tex]\frac{2y^2}{y}[/tex] - [tex]\frac{3xy}{y}[/tex] ( cancel y on numerator/ denominator of both fractions )
= 2y - 3x
the question is in the picture below
Answer:
$843.67
Step-by-step explanation:
We can use a proportion to solve this problem:
12 : 100 = x : 896
x =(896 * 12)/100 = $107,52
896 - 107.52 = $788,48 (price of the computer after the discount)
7 : 100 = x : 788,48
x = (788,48 * 7)/100 = $55,1936
788.48 + 55,1936 = 843,6736 = $843.67 (final price)
Find the cosine of angle A to the nearest 100th.
Answer:
[tex]{ \tt{ \cos(A) = \frac{ \sqrt{700} }{40} }} \\ { \tt{ \cos(A) = 0.66 }}[/tex]
álgebra 1
− 0.32 + 0.18 = 0.25 − 1.95
Answer:
i don't understand the question
A boat has a ladder that's ten feet long, and hangs off the side of the boat,
with its last two feet submerged in water. If the ocean tide rises five feet,
how much of the ladder will be underwater?
Answer:
2ft
Step-by-step explanation:
The tide doesn't effect the part of ladder that is underwater that is always 2ft
How much of the ladder that will be underwater is 7 ft.
Since the ladder is 10 ft long and its last two feet are submerged under water, this implies that 2 ft of the ladder are submerged under water.
When the tide rises by five feet, the part of the ladder that would be under water is 2 ft + 5ft = 7ft.
So, how much of the ladder that will be underwater is 7 ft.
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Hiệu điện thế giữa hai điểm M và N là UMN = 100 V. Một điện tích q = -2μC di chuyển từ M đến N thì công của lực điện là:
Answer:
The work done is - 200 μJ.
Step-by-step explanation:
The potential difference between two points M and N is UMN = 100 V. A charge q = -2μC moves from M to N, the work of the electric force is:
Potential difference, V = 100 V
Charge, q = - 2 μC
The potential difference is defined as the amount of work done in bringing a unit positive test charge from one point to another in the electric field.
So, W = q V
W = - 2 μC x 100 V = - 200 μJ
Which graph represents the function of f(x) = 4x² - 4x -8/2x+2.
Answer:
I think that second option represents the function of f(x) = 4x² - 4x -8/2x+2.
Match the measures of each angle
Question 2: use the image and your knowledge of the isosceles triangle to find the value of x
Answer:
x is 66 degrees
Step-by-step explanation:
since its a isosceles, two of the angles should be the same.
At what rate of simple interest a certain sum will be doubled in 15 years?
Answer:
6.66 % per year.
Step-by-step explanation:
Hope it help you
Answer:
66 percent per year
Step-by-step explanation:
I hope this will help you
pls add me as brainliest.
Help me please if you don’t mind
Answer:
(7x + 2)(x - 2)(x + 2)
Step-by-step explanation:
Given
7x³ + 2x² - 28x - 8 ( factor the first/second and third/fourth terms )
= x²(7x + 2) - 4(7x + 2) ← factor out (7x + 2) from each term
= (7x + 2)(x² - 4) ← x² - 4 is a difference of squares
= (7x + 2)(x - 2)(x + 2)
What is the equation of the line graphed below?
Answer:
y=2/5x
Step-by-step explanation:
Rise over run: you rise by 2, run by 5. Or you can use the slope formula: m=y2-y1/x2-x1
2-0/5-0=2/5=m
P=(2,3,5,7) Express it in description method and in rule method.
Answer:
prime number between 1 to7
The description of set P is the set of prime numbers less than or equal to 7 and the rule is {x | x is a prime number less than or equal to 7}
How to describe the set of P?The set P is given as:
P = {2,3,5,7}
Note that the numbers are prime numbers.
This means that the description of set P is the set of prime numbers less than or equal to 7
The rule form of the set would be:
P = {x | x is a prime number less than or equal to 7}
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What should the following equation be multiplied by in order to eliminate the fractions?
Answer:
6
Step-by-step explanation:
To figure out what needs to be multiplied, we need to find the least common denominator. By finding this, we know that what we multiply the equation with will be a multiple of each denominator, meaning that there will be no fractions left.
We can find the least common denominator by listing multiples of each fraction, and finding which one is the smallest but still in each list.
3: 3, 6, 9, 12...
2: 2, 4, 6, 8...
6: 6, 12, 18, 24...
We can notice that 6 is the lowest number in each list. Therefore, 6 is our least common denominator, and if we multiply by 6, the fractions will be removed.
Answer:
6
Step-by-step explanation:
I took the quiz and got it correct.
find the slope of the line passing through the points (-2,5) and (3/2,2)
Answer:
slope = - [tex]\frac{6}{7}[/tex]
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 2, 5) and (x₂, y₂ ) = ([tex]\frac{3}{2}[/tex], 2)
m = [tex]\frac{2-5}{\frac{3}{2}-(-2) }[/tex]
= [tex]\frac{-3}{\frac{3}{2}+2 }[/tex]
= [tex]\frac{-3}{\frac{7}{2} }[/tex]
= - 3 × [tex]\frac{2}{7}[/tex]
= - [tex]\frac{6}{7}[/tex]
Rewrite the equation 8x + 6x2 - 7= in standard form and identify a, b, and c.
Select one:
a. a =5,b= 8.c = -7
b.a=6,6= 8,0 = 1
ca=5,b=8,0= 7
da= 8,b= 6.c = -7
40
Answer:
a = 6
b = 8
c = -7
Step-by-step explanation:
In standard form, we have ;
y = ax^2 + bx + c
Here, we have;
6x^2 + 8x - 7
a is the coefficient of x^2 which is 6 in this case
b is the coefficient of x which is 8
c is the last number which is -7
So we have;
a = 6
b = 8
c = -7
50 points and brainless
1. In a board game, you must roll two 6-sided number cubes. You can only start the game if you roll a 3 on at least one of the number cubes.
(a) Make a list of all the different possible outcomes when two number cubes are rolled.
(b) What fraction of the possible outcomes is favorable?
(c) Suppose you rolled the two number cubes 100 times, would you expect at least one 3 more or less than 34 times? Explain. Answer:
Answer:
The answer for (a) is
1, 1 2, 2 3, 3 4, 4 5, 5 6, 6
1, 2 2, 3 3, 4 4, 5 5, 6
1, 3 2, 4 3, 5 4, 6
1, 4 2, 5 3, 6
1, 5 2, 6
1, 6
The answer for (b) is 6/21 or 0.285714286
The answer for (c) is Less than. {its in the explanation}
===================================================================
Explanation:
(a)- Its not really hard, it just takes a bit of time.
(b)- The total number of possibilities is 21. Favorable outcomes would have a 3 as one of the dice, and only 6 of the 21 outcomes has a 3. (they are in bold)
There are only 21 possible outcomes because the prompt says "Make a list of all the different possible outcomes." For example: I have 3, 4 as an outcome, but not 4, 3 because that would be the same outcome.
(c)- Less than, because the possibility of getting an outcome with at least one 3 is only 0.285714286. If you multiply that by 100, thats only 28.5714286, or 29, still less than 34.
I need helppp someone e
Help me pls
Step-by-step explanation:
s ask me what's your question I can help u
r(x)=2[tex]r(x)=2[/tex]
Answer:
Slope =0
y-intercept = (0,2)
I'm not really sure what you need to find.
please help -------------------- ASAPPP
Hello,
[tex]f^{-1}(f(58))=(f^{-1}*f)(58)=1(58)=58\\f(f(5)=f(9)=11\\[/tex]
What is the solution to the system of equations below?
y = three-fourths x minus 12 and y = negative 4 x minus 31
Answer:
x,y = -4, -15
Step-by-step explanation:
Which expressions are equivalent to the one below? Check all that apply.
7*3.7^x
A. 73-*
B. 493x
C. 343.7
D. (7.7)3
E. 73x
F. 73 + x
Answer: ur answer is correct ❤️
Step-by-step explanation:
Dilate ΔABC by a factor of 2 (with the origin as the center of dilation) to form ΔA′B′C′. Measure the side lengths of the dilated triangle. Confirm that the ratio of corresponding side lengths of ΔABC and ΔA′B′C′ is equal to the scale factor of the dilation.
Answer:
Step-by-step explanation:
This is from PLATO
Soso need help !
Plzzz n where can I find the answers to these pretest ain’t nobody got time for doin tha whole lesson lol thx xoxo
In the figure above the ratio of the area of WXZ to the area of WYZ is 7:2. If XY = 21, what is the length of segment WY?
[tex]{\color{red}{\huge{\underbrace{\overbrace{\mathfrak{\:\:\:\:\:\:\:꧁"Answer"꧂\:\:\: }}}}}}[/tex]
Because ∆XZW and WYZ is the same height and
Because ∆XZW and WYZ is the same height and the are of ∆WXZ to the the WYZ
[tex]so \:( \frac{1}{2}xw \times h)( \frac{1}{2} w)=7:2[/tex]
Because xy=21
[tex]so \: WY=2 \frac{1}{2}(7 + 2x2) \\ = 21 \frac{1}{2}p \times 2 \\ =\small\color{blue}{{{\boxed{\tt\red{} \:\:\:\:\:\:\:\:\:\: WY=\frac{14}{3}\:\:\:\: }}}}[/tex]
The length of the line segment WY is [tex]\frac{14}{3}[/tex] unit.
What is the area of triangle?The area of a triangle is defined as the total region that is enclosed by the three sides of any particular triangle.
What is the formula for the area of triangle?Area of triangle = (1/2)base × height
According to the given question.
The ratio of the area of triangle WXZ to the area of triangle WYZ is 7:2.
Since, the height WZ for both the triangles WXZ and WYZ is same.
Let, WZ = h
Therefore, the ratio of the area of the triangles is given by
[tex]\frac{\frac{1}{2}WX(h) }{\frac{1}{2}(WY)(h) } =\frac{7}{2}[/tex]
⇒ [tex]\frac{WX}{WY} =\frac{7}{2}[/tex]
⇒ [tex]WX = \frac{7}{2} WY..(i)[/tex]
Since, in the given figure
[tex]XY = WY + WX[/tex]
⇒ [tex]21 = WY + \frac{7}{2} WY[/tex] (from i)
⇒ [tex]21 = \frac{9}{2}WY[/tex]
⇒ [tex]WY = \frac{14}{3}[/tex]
Hence, the length of the line segment WY is [tex]\frac{14}{3}[/tex] unit.
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Help me please on hegarty maths
Answer:
29.5cm^2
Step-by-step explanation:
3 × 4 = 12
4 × 2.5 = 10
3 × 2.5 = 7.5
12+10+7.5=29.5
If AABC~ DEF and the scale factor from ABC to DEF is , what are the lengths of DE, EF, and DF, respectively?
Step-by-step explanation:
we don't see a picture, and you don't not give us any detailed information (all specific numbers like the scale factor are missing in your text). so, it is impossible to calculate anything.
but you can do it yourself very easily.
let's call the same factor "f".
that means you have to multiply the side lengths of every side of ABC by that factor f to get the cushions side lengths is the sides in DEF.
that's it.
that's all that has to be done.
so, assuming that A -> D, B -> E, C -> F
then
AB × f = DE
BC × f = EF
CA × f = FD
as I said - that's it. just use the actual numbers and multiply.
All the lengths of DE, EF, and DF are, 4 , 8 and 12 respectively.
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Given that;
Triangle ABC and DEF are similar.
And, the scale factor from ABC to DEF is 2.
Now, We get;
This means that each side of the triangle ABC were multiplied by the scale factor 2 in order to get the triangle DEF.
Based on the above, you can set up the following equations;
⇒ DE = 2AB
⇒ EF = 2BC
⇒ DF = 2CA
Finally, substituting the corresponding lengths of the triangle ABC into the equations, and then evaluating, you get the following result:
⇒ DE = 2 x 2 = 4
⇒ EF = 2 x 4 = 8
⇒ DF = 2 x 6 = 12
Thus, All the lengths of DE, EF, and DF are, 4 , 8 and 12 respectively.
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Will mark brainlest helpppp pleaseeeee
Answer:
come to mya massanger dk khanal fb user
Step-by-step explanation:
i will teach you by sending picture
Can you please tell me the answer step by step??
Answer:
a)4
Step-by-step explanation:
(a+b)²=43 eqn 1
(a²+b²)=35 eqn 2
solving eqn 2 by putting the value of (a+b)² by eqn 1
(a+b)²-2ab=3543-2ab=35-2ab=35-43ab= -8/-2ab =4hope it helps
stay safe healthy and happy.