Answer:
the answer is -10
Step-by-step explanation:
-2 × 5 = -10
Solve x2 + 2x =1 for x by completing the square.
The quadratic formula is:
[tex]y = ax^{2} + bx + c[/tex]
To complete the square, take half of the b coefficient and square it. Zero it out in the equation by adding and subtracting it. Use the order of operations (PEMDAS) and solve for x.
I hope this helps. Let me know if you want me to clarify anything or if you have any questions!
The solution of the given quadratic equation is x = -1 ±√2
What is a solution for a quadratic equation?Suppose that we've a function y = f(x) such that f(x) is quadratic.
When y = 0, then the values of x for which f(x) = 0 is called the solution of quadratic equation f(x) = 0. This solution gives values of x, also when we plot x and f(x), we will see that the graph intersects the x-axis at its solution points.
The quadratic formula is given as;
x² + 2x =1
Then its solutions are given as;
[tex]x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}[/tex]
[tex]x = \dfrac{-2 \pm \sqrt{2^2 - 4(-1)}}{2}\\\\x = \dfrac{-2 \pm \sqrt{4 + 4}}{2}\\\\\\x = \dfrac{-2 \pm \sqrt{8}}{2}\\\\x = \dfrac{-2 \pm 2\sqrt{2}}{2}\\\\\\x = \dfrac{-1 \pm 1\sqrt{2}}{1}[/tex]
Therefore, the solution is x = -1 ±√2
Learn more about quadratic equations here:
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Emily was digging for gold. She dug a total of 40 feet deep into the ground. She dug 17% every minute. How far had she dug after 3 minutes?
Answer:
91 feet or 51
Step-by-step explanation:
17x 3= 51
51 + 40(what she dug before)
or it's just 51
Answer:
60.4 ft deep
Step-by-step explanation:
17% = .17
40 * .17 = 6.8 per hour
6.8 * 3 = 20.4
20.4 + 40 = 60.4 ft deep
divide 5kg in the ratio 13:7
Answer:
1.75 kg
Step-by-step explanation:
13/20 of 5 = 13/20 x 5= 3.25 kg
and, 7/20 of 5 = 7/20 x 5=1.75 kg
so, divide, 5 kg in ration of 13:7 is:
3.25 kg : 1.75 kg
Answer:
3.25 Kg : 1.75 Kg
Step-by-step explanation:
Sum the parts of the ratio, 13 + 7 = 20 parts
Divide the amount by 20 to find the value of one part of the ratio.
5 Kg ÷ 20 = 0.25 Kg ← value of 1 part of the ratio, thus
13 parts = 13 × 0.25 =3.25 Kg
7 parts = 7 × 0.25 = 1.75 Kg
It took a skydive 6 seconds to drop 720feet. What is the rate (in feet per/second) of the skydive's drop?
Answer:
120ft/sec
Step-by-step explanation:
Assuming that there is no acceleration, divide the amount of feet (720) with the time (6 seconds):
720 ft/6 sec = 120 ft/1 sec
For every second, the skydiver drops 120 ft.
120ft/sec.
~
94.7 or 94.70
please dont put 120 i kept getting it wrong
PLEASE HELP Which of the following expressions is equal to-4x^2-36? A:(-4x-9i)(x-4i) B:(-4x+9i)(x-4i) C:(-4x-12i)(x+3i) D:(-4x+12i)(x+3i)
Answer:
C is equal to -4[tex]x^{2}[/tex] - 36
Step-by-step explanation:
C: ( -4x -12) ( x + 3)= multiply -4x × x = -4[tex]x^{2}[/tex]= multiply -4x × 3 = -12x= multiply -12 × x = -12x= multiply -12 × 3 = -36= -4[tex]x^{2}[/tex] -24x -36, simplified to (-4[tex]x^{2}[/tex] - 36)how to do this question plz answer my question plz
Answer:
Take the information given and create an equation that add up to 360.
Step-by-step explanation:
You might assume the smallest angle to be the given 55, so that would make the third term 120+55. The fourth angle is unknown, x
The equation sets up as
55+65+(55+120)+x = 360
Add all the numbers to get 295.
295+x=360
Subtract 360-295 = x
x=65
The four angles are 55°,65°,175° and 65°
I hope this answers your question!
In general, the value measured by the
variable __________
axis is called the dependent
Answer:
y
Step-by-step explanation:
When doing graphing, the y axis is dependent because its position relies on the placement of the x axis.
Write the equation of the line that has the indicated slope and contains the indicated point. Express the final equation in standard form. m = 1/2 , (3, 4)
Answer:
x - 2y = - 2
Step-by-step explanation:
Given the following :
1/2 , (3, 4),
The equation of a line :
y = mx + c
m = slope ; c = gradient
m = 1/2
c = (y1 - x1) / 2
c = (4 - 3) / 2 = 1/2
Hence, y = 1/2x + 1/2
In standard form:
Ax + By = C
A and B integer Coefficient of x and y respectively
y = 1/2x + 1/2
1/2x - y = - 1/2
Multiply both sides by 2
x - 2y = - 2
Hence, standard form of the equation is :
x - 2y = - 2
Find the midpoint of the segment with the following endpoints. (-4, -9) (-10,-3)
Answer:
Step-by-step explanation:
(x1, y1) = (-4 , -9) ; (x2, y2) = (-10, -3)
[tex]Midpoint(\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2})\\\\\\=(\frac{(-4)+(-10)}{2},\frac{(-9)+(-3)}{2})\\\\\\=(\frac{-14}{2},\frac{-12}{2})\\\\\\=(-7 , -6)[/tex]
(sin x) (2 sin x cos x)
Answer:
(sinx) (sin2x)
Step-by-step explanation:
2 sinx cosx = sin 2x
what property is this 5(2+3)=(2+3)5
If h(x)=-(square root) of x-3 (outside square root) plus 5, then what is the value of h(7)?
Answer:
h(7) = 3
Step-by-step explanation:
h(x) = -[tex]\sqrt{x-3}[/tex] + 5
h(7) = -[tex]\sqrt{(7)-3}[/tex] + 5
h(7) = -√4 + 5
h(7) = -2 + 5
h(7) = 3
A coin flipped 10 times and shows tails each time. Is there statistical significance to say that the coin is not a fair coin
Answer:
no because Chance is likely to account the result.
estimate the height of a tree using the following measurements:height of the rod:180 cm,length of the shadow of the rod is 116 cm,length of the shadow of the tree:840 cm,calculate the height of the tree
Answer:
1303.45 cm
Step-by-step explanation:
The triangles formed by a rod and its shadow and a tree and its shadow are similar triangles, so the ratios of their heights to the lengths of their shadows are equal.
Let x be the height of the tree. Setting the ratios equal, we get:
180/116 = x/840
Solve for x:
x = 840 * (180/116)
x ≈ 1303.45 cm
Translate the following phrase into an algebraic expression. Do not simplify. Use the variable names "X" or "y" to describe the unknowns.
the product of a number and eight
Answer:
8X
Step-by-step explanation:
it says the product, which is multiplication
of a number (lets call it X) and 8
so its 8*X
Answer:
8x
Step-by-step explanation:
it says the product, which is basically multiplication of a number (which lets call X) and 8
so its 8*X
HOPE I HELPED
PLS MARK BRAINLIEST
DESPERATELY TRYING TO LEVEL UP
✌ -ZYLYNN JADE ARDENNE
JUST A RANDOM GIRL WANTING TO HELP PEOPLE!
PEACE!
Rectangle ABCD is shown. A is at negative 5, 1. B is at negative 5, 3. C is at negative 1, 3. D is at negative 1, 1. Rectangle ABCD is rotated 180°. What rule shows the input and output of the rotation, and what is the new coordinate of A′? (x, y) → (−x, −y); A′ is at (5, −1) (x, y) → (−y, x); A′ is at (−1, −5) (x, y) → (y, −x); A′ is at (1, 5) (x, y) → (x, −y); A′ is at (−5, −1)
Answer:
(x, y) ⟶ (−x, −y); A′ is at (5, −1)
Step-by-step explanation:
When you rotate a point 180° about the origin, it travels along the circumference of a circle and ends up in a diagonally opposite location.
The x and y values of its coordinates become the negatives of the original values.
The rule is
(x,y) ⟶ (-x,-y)
If the coordinates of A are (-5,1),
The coordinates of A' are (5,-1).
The figure below shows the graph or your rectangle and its rotated image.
Answer:
(x, y) ⟶ (−x, −y); A′ is at (5, −1)
Step-by-step explanation:
just took the FLVS test and got a 100% :)
PLEASE ANSWER ASAP! I REALLY NEED THIS ANSWER :( WILL MARK BRAINLIEST!Which sum will be irrational? a) 3+2 b) square root 19 + 7 over 2 c) 18 over 3 + 11 over 10,000 d) -6+(-3.251)
Answer:
[tex]\huge\boxed{Option \ B}[/tex]
Step-by-step explanation:
1) 3 + 2 = 5 [Since the result is a natural number, it is a rational number]
2) [tex]\sqrt{19} + \frac{7}{2}[/tex] [ It has a square root that cannot be simplified further so the sum of this is an irrational one ]
3) [tex]\frac{18}{3} + \frac{11}{10000}[/tex] [The sum of it is rational i.e. in the form of p/q ]
4) -6+ (-3.251) = -6-3.251 = -9.251 [ Since the result is an integer, it is a rational number]
Answer:
[tex]\Huge \boxed{\sqrt{19} +7}[/tex]
Step-by-step explanation:
Rational numbers can be integers, fractions, and whole numbers.
Rational numbers can be expressed as fractions p/q, where p and q are whole numbers.
[tex]3+2=5[/tex]
5 is whole number, it is a rational number.
[tex]\sqrt{19} +7= 11.358899....[/tex]
[tex]\sqrt{19}[/tex] is an irrational number, it cannot be expressed as a fraction p/q, where p and q are whole numbers.
[tex]\displaystyle \frac{18}{3} +\frac{11}{10000} =\frac{60011}{10000}[/tex]
The result is rational, it can be expressed as a fraction p/q, where p and q are whole numbers.
[tex]-6+(-3.251)=-9.251[/tex]
The result is rational, it can be expressed as a fraction p/q, where p and q are whole numbers.
11 + (3)(9) Step 1: 11 + (9)(3) Step 2: (11 + 9)(3) Step 3: 20(3) Step 4: 60 Analyze the work to find the error. In Step 1, the commutative property of multiplication was not done correctly. In Step 2, the associative property cannot regroup addition and multiplication. In Step 3, the multiplication must be done first In Step 4, the product is incorrect.
Answer:
This is the answer In Step 2, the associative property cannot regroup addition and multiplication.
Step-by-step explanation:
Hope this helped.
Answer:
In Step 2, the associative property cannot regroup addition and multiplication.
Step-by-step explanation:
11 + (3)(9)
Step 1: 11 + (9)(3)
Step 2: (11 + 9)(3) <- wrong
Step 3: 20(3)
Step 4: 60
hope this help!
What is the sum of -2-(-17)
Answer: Hi!
Remember, when you're subtracting a negative, that's equal to adding a positive. So -2-(-17) is actually equal to -2 + 17!
-2 + 17 = 15
The expression -2-(-17) is equal to 15.
Hope this helps!
Help pls 30 points given
Answer:
draw a diagonal line from (0,0) to (10,100) then find the output then you will get your answer
Step-by-step explanation:
If r(x) = 3x - 1 and s(x) = 2x + 1, which expression is equivalent to
(6)?
Answer: It would be all of the above.
Step-by-step explanation:
What is the solution to the proportion? Round the answer to the nearest tenth if necessary.
Answer:
problem please
Step-by-step explanation:
What is 56/128 (Fraction) added to 1 (whole number)
best and accurate will be marked as brainliest
Answer:
23/16
Step-by-step explanation:
simplify, 56/128 = 7/16
7 + 16 over 16
add together 7 and 16= 23
=23/16
Answer:
[tex]\Large \boxed{\frac{23}{16} }[/tex]
Step-by-step explanation:
56/128 + 1
56/128 is a fraction.
1 is a whole number.
1 can be rewritten as a fraction.
1 = 128/128
56/128 + 128/128
Add the fractions since denominators are equal.
(56+128)/128
184/128
Simplify the fraction.
8(23)/8(16)
23/16
Find the value of $B - A$ if the graph of $Ax + By = 3$ passes through the point $(-7,2),$ and is parallel to the graph of $x + 3y = -5.$
Answer:
-6
Step-by-step explanation:
The parallel line can be written using the same x- and y-coefficients, but with a different constant:
x +3y = constant
For the line to go through the given point, the constant must be ...
(-7) +3(2) = constant
-1 = constant
In order for the constant to be +3 instead of -1, the entire equation must be multiplied by -3:
-3x -9y = 3 ⇒ A = -3, B = -9
Then the expression B-A is ...
B -A = (-9) -(-3) = -6
The value of B - A is -6.
If a truck travels at a constant speed and travels 238 miles in 3.5 hours then at what speed did the truck travel
Answer: Hi! Here we're trying to find the unit rate.
So we know that the truck travels 238 miles in 3.5 hours. To find the unit rate, the speed of miles per hour, all we need to do is divide the miles by the total time!
238 ÷ 3.5 = 68
So, the truck travels at 68mph.
Hope this helps!
3(2c+d)-4(c-d)+d squared when c=1 d=3
please explain steps
Answer:
3(2c+d)-4(c-d)+d^2.
6c+3d-(4c+4d)+d^2.
6×1+3×3-4×1+4×3+9.
6+9-4+12+9=32.
Let the function f be continuous and differentiable for all x. Suppose you are given that f(−1)=−3, and that f'(x) for all values of x. Use the Mean Value Theorem to determine the largest possible value of f(5).
Answer:
Step-by-step explanation:
By MVT,
[tex]f'(c) = \frac{f(5)-f(-1)}{5-1}[/tex]
[tex]4f'(c)= f(5) + 3\rightarrow f(5) = 4f'(c) - 3[/tex]
Moreover, [tex]f'(x)\leq 4~~~~~~ \forall x,[/tex]
[tex]f(5) \leq 16 - 3 =13[/tex]
Hence the largest possible value of f(5) is 13
W/5=3 what does w equal
Answer:
w=15
Step-by-step explanation:
w/5=3
multiply by 5 on both sides
w=3*5
∴ w=15
Answer:
15
Step-by-step explanation:
If something over 5 is 3, that means w divided by 5 equals 3.
That can bve translated to W=3 times 5, which is 15.
Therefore, W= 15.
Is (-2,0) a solution of the graphed inequality
Answer: NO
Step-by-step explanation:
The line that separates the two part is a dashed line which means that the point on the lines are not in the solution
EXTRA: ONLY IF IT IS A SOLID LINE, THE POINTS WILL BE A SOLUTION
(-2,0) is on the dashed line, so it is not a solution
easy 10 points and brainliest :)
Answer:
y =0
Step-by-step explanation:
If we are on the x axis, the x value can change, but the y value is zero
Answer:
y=0
Step-by-step explanation: