For this case we must find the solutions of the following quadratic equation:
[tex]x ^ 2-5x-1 = 0[/tex]
We solve by means of[tex]x = \frac {-b \pm \sqrt {b ^ 2-4 (a) (c)}} {2a}[/tex]
Where:
[tex]a = 1\\b = -5\\c = -1[/tex]
Substituting:
[tex]x = \frac {- (- 5) \pm \sqrt {(- 5) ^ 2-4 (1) (- 1)}} {2 (1)}\\x = \frac {5 \pm \sqrt {25 + 4}} {2}\\x = \frac {5\pm\sqrt {29}} {2}[/tex]
Finally, the roots are:
[tex]x_ {1} = \frac {5+ \sqrt {29}} {2}\\x_ {2} = \frac {5- \sqrt {29}} {2}[/tex]
Answer:
[tex]x_ {1} = \frac {5+ \sqrt {29}} {2}\\x_ {2} = \frac {5- \sqrt {29}} {2}[/tex]
Can I please get help on these and thanks!!!!
Answer:
A
Step-by-step explanation:
Question 4:
A.) Documentation Files (Field Reports)
Explanation:
Archaeologists record their findings in documentation files or field reports because that would be the more formal and official to jot down important information.
Question 5:
B.) Information Collection and Review
Explanation:
Archaeologists verify existing archaeological records through the information collection and review stage. This one was a tricky question, because it's asking about existing records, not newly found records.
Hope this helps ya :D
Find the graph of the inequality y>-1/6x+1
what we do is, we simply draw the graph for its EQUALITY counterpart, namely [tex]\bf y=-\cfrac{1}{6}x+1[/tex].
then we check the regions on both sides of the graph, in this case we can check say the point (0,0) for simplicity, and
[tex]\bf y>-\cfrac{1}{6}x+1\qquad (0,0)~~ \begin{cases} x=0\\ y=0 \end{cases}\implies 0>-\cfrac{1}{6}(0)+1\implies 0>1[/tex]
now, is 0 > 1? is 0 really greater than 1? nope, is smaller, thus the area where the point (0, 0) is at is the false region, so that's the area we do NOT shade, thus the other region must be the true region and that's the one we shade.
the ">" sign means, that "y" is greater than, NOT equals to but greater, thus the values at the borderline are not included, and thus is a dashed line.
Check the picture below.
PLEASE CAN SOMEONE HELP FAST BEG U
SIMULTANEOUS EQUATION
P/2 + Q/3 =6
P/3 + Q/3 =0
Answer:
{Q = -(3 P)/2, Q = -6 P}
Step-by
-step explanation:
Godfrey is planning to make muffins for the community bake sale. He only has 1 3/4 cup of sugar. If one batch requires him to use 1/2 cup of sugar, how many batches can he make? Include partial batches (fractions) in your answer if there are any.
Answer:
3 1/2 Batches.
Step-by-step explanation:
1 3/4 (or 1.75) divided by 1/2 (or 0.5) equals 3.5
If m 1 = 90°, what is m ACB?
90
180
270
Answer:
270
Step-by-step explanation:
m q =90
so remaining angle for a circle is 270
Answer:
270
Step-by-step explanation:
ca is 180 since it is a straight line plus the 90 from section 1
Add (7x^2-3x) + (5x-6)
A. 7x^3 +2x -6
B. 4x^2 -x
C. 7x^2 -2x-6
D. 7x^2- 8x-6
Answer:
Let's simplify step-by-step.
7x^2−3x+5x−6
=7x^2+−3x+5x+−6
Combine Like Terms:
=7x^2+−3x+5x+−6
=(7x^2+2x+−6 )
Answer:
=7x^2+2x−6
Final answer:
The sum of (7x² - 3x) and (5x - 6) is found by combining like terms, resulting in 7x² + 2x - 6, which is option C.
Explanation:
To solve the algebraic addition (7x²-3x) + (5x-6), you need to combine like terms.
First, identify and group like terms from both expressions. Like terms are those that have the same variable raised to the same power.
Combine the coefficients (numerical values) for each group of like terms.
Now, let's go through each step:
For the x2 terms: 7x2 (from the first polynomial) has no like term in the second polynomial, so it remains as is.
For the x terms: -3x (from the first polynomial) and +5x (from the second polynomial) combine to give 2x.
Lastly, the constant terms: -6 (from the second polynomial) also has no like term in the first polynomial, so it remains as is.
By combining these, the result is 7x² + 2x - 6, which corresponds to option C.
The IPhone 7 costs about $220 for Apple to make, but they cost about $700 in stores. What is the markup percentage of the IPhone 7? (Round to the nearest
Answer:
The markup percentage of the IPhone 7 is $218.18%.
Step-by-step explanation:
The IPhone 7 costs for Apple to make = $220
The cost in stores = $700
The difference between costing price and selling price = 700 -220 = $480
The markup percentage of the IPhone 7 = [tex]\frac{480}{220}[/tex] × 100
= $218.18
The markup percentage of the IPhone 7 is $218.18%.
The markup percentage of an iPhone 7 is calculated by finding the difference between the selling and cost price, dividing this by the cost price and then multiplying by 100. According to these steps, the markup percentage of the iPhone 7 is approximately 218%.
Explanation:The markup percentage indicates how much an item's price has increased from its original cost to make. It is calculated by finding the difference between the selling price and the cost to make, then dividing that by the cost to make, and then multiplying it by 100 to get the percentage.
To calculate the markup percentage of the iPhone 7:
Determine the difference between the selling price and the cost price. In this case, $700 (selling price) - $220 (cost price) = $480. Now divide the difference by the cost to make. $480 / $220 = 2.18. Finally, multiply by 100 to get the percentage. 2.18 * 100 = 218% (rounded to the nearest whole number).
Therefore, the markup percentage of the iPhone 7 is 218%.
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Leonardo put a $600 ring on layaway by making a 10% down payment and agreeing to pay $65 a week. How many weeks will it take your nardo to pay off the ring?
Answer: 9 weeks
Step-by-step explanation:
Final answer:
Leonardo will take 9 weeks to fully pay off the $600 ring after making a 10% down payment and weekly payments of $65.
Explanation:
The question is asking how many weeks it will take Leonardo to pay off a ring valued at $600 with a 10% down payment and subsequent weekly payments of $65.
First, calculate the down payment Leonardo makes: 10% of $600 equals $60. Subtract the down payment from the original price to find out the remaining amount Leonardo has to pay, which is $600 - $60 = $540.
Next, divide the remaining amount by the weekly payment: $540 divided by $65 per week equals approximately 8.31, which rounds up to 9 weeks since you can't make a fraction of a payment.
Therefore, it will take Leonardo 9 full weeks to pay off the ring.
12(x-2)+3x=1/2(x+6)+2
You can use photo math that helps to
Answer: x=2 you have to simplify both sides and isolate the variable
On a regular 6 sided number cube and a spinner with 3 equal sections labeled 1, 2 & 3, what is the probability of rolling a four and then spinning a 3?
On a number cube, rolling any number is a 1/6 probability ( 1 out of 6 numbers).
On the spinner the probability of getting 3 is 1/3 ( 1 out of 3 numbers).
The probability of getting both a 4 and then a 3 is 1/6 x 1/3 = 1/18
1/2x= 3/(x+5)
What is the value of x that makes the statement true
Answer:
.5x = 3x + 15
-2.5 x = 15
x = -6
Step-by-step explanation:
Ms. Carson's art class made a large rectangular mural. The length of the mural is 8 feet, and it's area is 56 square feet. What is the width of the mural?
Answer:
7
Step-by-step explanation:
all u do is divide the area by the length
56/8
You do 56/8 the answer is 7
What is the area of parallelogram ABCD?
Answer:
15
Step-by-step explanation:
help me with this please
what do you mean 2<_ 10?
If x<_10,
a) 1,2,5,10
b) 4
c) 6
Answer:
see explanation
Step-by-step explanation:
Given x ∈ { 2, 3, 4, 5, 6, 7, 8, 9, 10 }
Factors of 10 are 1, 2, 5, 10, thus
P = { 2, 5, 10 } ← 1 is not a member of the universal set
and the number of elements in P , that is n(P) = 3
The complement of P is the elements not in P but in the universal set
P' = { 3, 4, 6,7,8,9 }
Which of the values will NOT make 3x < 45 true?
12
11
16
-8 im being timed
Answer:
16
Step-by-step explanation:
3 times 16 is 48
hope this helps :)
Final answer:
The value that will not make the inequality 3x < 45 true is 16, as any value greater than or equal to 15 does not satisfy the inequality.
Explanation:
To determine which values will not make the inequality 3x < 45 true, we first solve the inequality for x by dividing both sides by 3.
Dividing 45 by 3 gives us:
45 / 3 = 15
So the inequality becomes:
< 15
Any value for x that is 15 or greater will not satisfy the inequality. Looking at the provided options (12, 11, 16, -8), the number 16 is the only value that is greater than 15, and hence, will not make the inequality true.
Which matrix is the product of a 3 × 3 identity matrix and the scalar 3?
Answer:
[tex]\left[\begin{array}{ccc}3&0&0\\0&3&0\\0&0&3\end{array}\right][/tex]
Step-by-step explanation:
In order to find out the resulting matrix, we will have to multiply the identity matric and the scalar 3:
The 3x3 identity matrix is:
[tex]\left[\begin{array}{ccc}1&0&0\\0&1&0\\0&0&1\end{array}\right][/tex]
Multiplying with scalar 3:
[tex]3\left[\begin{array}{ccc}1&0&0\\0&1&0\\0&0&1\end{array}\right][/tex]
The scalar will be multiplied by each element of the matrix.
Multiplying zeros with scalar 3 will give us zero. So the resulting matrix will be:
[tex]\left[\begin{array}{ccc}3*1&0&0\\0&3*1&0\\0&0&3*1\end{array}\right] = \left[\begin{array}{ccc}3&0&0\\0&3&0\\0&0&3\end{array}\right][/tex]
So the resultant matrix will be a scalar matrix with 3 at diagonal positions..
Answer:
it's D on edge
Step-by-step explanation:
La figura muestra la matriz de un dado de 6 caras en cuyas caras opuestas estan numeros opuestos
Si se lanza el dado y se suman los valores de sus caras, sin incluir el valor de la cara oculta, ¿Qué sumas se pueden obtener?
Si se lanza el dado y se multiplican los valores de sus caras, sin incluir el valor de la cara que esta oculta ¿Que productos se obtienen?
What is the measure of the missing angle
The sum of the angles of any quadrilateral is 360 degrees. This means that you can make a formula like the one bellow and solve for x:
72 + 107 + x + 91 = 360
270 + x = 360
(270 - 270) + x = 360 - 270
x = 90
Hope this helped!
~Just a girl in love with Shawn Mendes
Answer:
x = 90°
Step-by-step explanation:
Angles in a quadrilateral add up to 360°
We are given the following angles : 107°, 72° and 91°
Wee need to find x so,
x + 107° + 72° + 91° = 360°
( Simplify )
x + 270° = 360°
( Minus 270° from both sides to isolate x )
x = 90°
Find the area of a circle with a circumference of 31.4 units
Final answer:
To calculate the area of a circle with a circumference of 31.4 units, first find the radius using the formula r = C / (2π), then use the area formula A = πr² to obtain an area of 78.5 square units when π is approximated to 3.14.
Explanation:
To find the area of a circle with a given circumference, we first need to find the radius of the circle. The formula to calculate the circumference (C) is C = 2πr, where r is the radius and π (pi) is approximately 3.14159. For a circle with a circumference of 31.4 units, we can rearrange the formula to solve for the radius: r = C / (2π). Substituting the given circumference, we have r = 31.4 / (2×3.14) which simplifies to r = 5 units.
Now, we can find the area (A) of the circle using the formula A = πr². Substituting the calculated radius, the area becomes A = 3.14×5² which equals A = 3.14×25. Therefore, the area of the circle is A = 78.5 square units.
This calculation assumes the value of π (pi) is rounded to 3.14 for ease of calculation, which is typically 'close enough' for most estimation purposes.
A trapezoid has a base of two and six and an area of 24 square units. What is the height?
[tex]\bf \textit{area of a trapezoid}\\\\ A=\cfrac{h(a+b)}{2}~~ \begin{cases} a,b=&\stackrel{bases}{parallel}\\ &sides\\ h=&height\\ \cline{1-2} a=&2\\ b=&6\\ A=&24 \end{cases}\implies 24=\cfrac{h(2+6)}{2}\implies 24=\cfrac{h(8)}{2} \\\\\\ 24=4h\implies \cfrac{24}{4}=h\implies 6=h[/tex]
If x = 4, what is the value of the following expression?
12x + 9x - 2x
A.76
B.19
C.4
D.92
Answer:
Option A, 76
Step-by-step explanation:
Substitute x by 4 to the following expression :
12(4) + 9(4) - 2(4)
48 + 36 - 8
84 - 8
= 76
reactant
→
product
If there are 4 grams of reactant, how many grams of product are produced by the chemical reaction?
Question 9 options:
0 grams
2 grams
4 grams
8 grams
Answer:
4 grams
Step-by-step explanation:
Mass is conserved, so if you start with 4 grams, you end with 4 grams.
what is $630,000 divide by 24
$26,250. 630,000 ÷ 24 =26250
Answer: 630,000 / 24= 26250
If you were, for example, to divide $630,000 evenly between you and 24 of your coworkers, you'd each get $26,250.
Hope this helps,
LaciaMelodii :)
Apply the distributive property to simplify the expression.
−3(6x + 2)
Answer:
-3(6x + 2) = -18x - 6
[tex]\text{Hey there!}[/tex]
[tex]\text{Distributive property}\rightarrow\text{a(b + c) = a}\times\text{b + a}\times \text{c = ab + ac}[/tex]
[tex]\text{Now that we know what the distributive property SHOULD look like,}[/tex] [tex]\text{we can solve for your answer}[/tex]
[tex]\text{-3(6x + 2)}\\\text{-3(6x) = -18x}\\\text{-3(2) = -6}[/tex]
[tex]\text{ + \& - = -. so the plus sign (+) becomes a negative sign/ subtraction symbol (-)}[/tex]
[tex]\boxed{\boxed{\bf{Answer:\ -18 \ - \ 6}}}\checkmark[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{LoveYourselfFirst:)}[/tex]
The function p(x) = 2(x-9)2 + 100 is used to determines the profit on T-shirts sold for x dollars. What would the profit from sales be if the proce of the T-shirts were $15 a piece?
Answer:
the profit will be $172
Step-by-step explanation:
The function given is:
p(x) = 2(x-9)^2 + 100
Where x is the price of the each shirt.
if each shirt is sold for $15, hen x = 15.
the profit will be:
p(15) = 2(15-9)^2 + 100
p(15) = 2(6)^2 + 100
p(15) = 2(36) + 100
p(15) = 72 + 100
p(15) = 172
So, the profit will be $172
plz help I need the answer plz
If the equation is
[tex] \frac 5 2 s = \frac 3 2 s + s[/tex]
that's true for all s, since 3/2+1=5/2
So all of them result in true statements
Answer: All of the above
Let's just do one for yuks, s=5.
(5/2) s = 25/2
(3/2)s + s = 15/2 + 5 = 15/2 + 10/2 = 25/2
That checks.
Convert 13pi/18 to degrees
Answer:
130°
Step-by-step explanation:
to do this conversion, multiply 13π/18 by the conversion factor 180°/π rad:
13 · 180°
13π/18 · 180°/π rad = ------------- = 130°
18
Symmetry is an important component of photography. Photographers often use reflection in water to
create symmetry in photos. Which of the following types of symmetry are created from the above
photo? Select all that apply
a rotational
b horizontal
c vertical
d diagonal
e translational
Answer:
Horizontal
Explanation:
There are many types of symmetry presented at school time. Many of the symmetry we used during photo shop. The simple picture can be symmetrical by putting a mirror seeing an image in the mirror.
There has been seen half of the original image and half of the mirror reflection. It can be said that the original picture is symmetric with the help of the mirror. It is also called reflective symmetry.
The mirror symmetry also called a one-line symmetry. The horizontal line of symmetry cuts the picture in two left and right parts.
The output with the y being -4
For this case we have a function of the form [tex]y = f (x)[/tex], where [tex]f (x) = - 4x[/tex]. We must find the values of "and" according to the following function:[tex]y = -4x[/tex]
So:
[tex]f (-6) = - 4 (-6) = 24\\f (-2) = - 4 (-2) = 8\\f (3) = - 4 (3) = - 12[/tex]
Thus, the values are:
24,8, -12
Answer:
24,8, -12
y varies inversely with x
k= 1.25
What is the value of y when x is 5?
Answer:
The value of y is 0.25
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent an inverse variation if it can be expressed in the form [tex]y*x=k[/tex] or [tex]y=k/x[/tex]
For x=5
Find the value of y
k=1.25
substitute in the equation
[tex]y=k/x[/tex] -----> [tex]y=1.25/5=0.25[/tex]