Which of the following is a solution of x2 + 4x = -8?
O x = -2 - 21
O x = 2 + 21
O x = -4 + 41
O x = 4 - 41
Answer:
[tex]x=2i-2,\:x=-2i-2[/tex]
Step-by-step explanation:
[tex]x^2 + 4x = -8\\\\\mathrm{Solve\:by\:completing\:the\:square}\\\\\mathrm{Write\:equation\:in\:the\:form:\:\:}x^2+2ax+a^2=\left(x+a\right)^2\\\\\mathrm{Solve\:for\:}a,\:2ax=4x:\quad a=2\\\\\mathrm{Add\:}a^2=2^2\mathrm{\:to\:both\:sides}\\\\x^2+4x+2^2=-8+2^2\\\\\mathrm{Simplify\:}-8+2^2:\quad -4\\x^2+4x+2^2=-4\\\\\mathrm{Complete\:the\:square}\\\left(x+2\right)^2=-4\\\\\mathrm{For\:}f^2\left(x\right)=a\mathrm{\:the\:solutions\:are\:}f\left(x\right)=\sqrt{a},\:-\sqrt{a}\\[/tex]
[tex]\mathrm{Solve\:}\:x+2=\sqrt{-4}:\quad x=2i-2\\\\\mathrm{Solve\:}\:x+2=-\sqrt{-4}:\quad x=-2i-2\\\\x=2i-2,\:x=-2i-2\\[/tex]
Learn with an example
The perimeter of a rectangular deck is 214 feet. It is 42 feet wide. How long is it?
Answer:
65 feet = L
Step-by-step explanation:
set up equation
P = 2L + 2W
plug in W
214 = 2L + 2(42)
multiply
214 = 2L + 84
subtract 84
130 = 2L
divide by 2
65 = L
express 15x^1/3 y ^1/5 using a radical
Answer:
C
Step-by-step explanation:
[tex]15x^{\frac{1}{3} }y^{\frac{1}{5} }\\\\=15x^{\frac{5*1}{5*3} }y^{\frac{3*1}{3*5} }\\\\=15x^{\frac{5}{15} }y^{\frac{3}{15} }\\\\=15\sqrt[15]{x^{5}y^{3} } \\\\[/tex]
The expression 15x^(1/3) y^(1/5) can be written as 15 * ∛x * ∜y
How to express 15x^(1/3) y^(1/5) using a radical?To express 15x^(1/3) y^(1/5) using a radical, we will start by writing each term with a common base.
Now express x^(1/3) as a radical. We know x^(1/3) is the cube root of x, this is rewritten as ∛x.
Now, we express y^(1/5) as a radical. We know that y^(1/5) is the fifth root of y, so we is rewritten it as ∜y.
Putting it all together, we have:
15x^(1/3) y^(1/5) = 15 * ∛x * ∜y.
Read more about Radical
brainly.com/question/738531
#SPJ6
Find x
Worth 10 pts
Pls show work
Explanation:
The tickmarks indicate which segments are the same length. On the left side, the single tickmark segments are the same length, and the same can be said about the double tickmarks segments as well. Because of this, the segment x cuts the diagonal sides in half.
The segment x is known as a midsegment of the triangle. It is half as long as the parallel side of 24 units. So x = (1/2)*24 = 12.
Cans of peas are 3 for $1.29. How much would one can of peas and a bag of chips priced at $2.19 cost all together?
Answer:
It would be 2.62
Step-by-step explanation:
If f(x) = 2x - 3, find the following values: a) f(0)= b) f(-2) = c) f(5)=
[tex]f(0) = 2 \cdot 0 - 3 = 0 - 3 = -3\\f(-2) = 2 \cdot (-2) - 3 = -4 - 3 = -7\\f(5) = 2 \cdot 5 - 3 = 10 - 3 = 7[/tex]
In the adjoining figure, GP bisects angle BGH and HP bisects angle GHD. calculate the size of angle a.
Answer:
90°
Step-by-step explanation:
AB and CD are parallel lines and EF is reversal
Therefore angles BGH and DHG are consecutive interior angles
As we know the sum of consecutive interior angles equals to 180°:
∠BGH + ∠DHG = 180°Line GP bisects angle BGH , therefore
m∠PGH = 1/2*m∠BGHLine HP bisects angle GHD, therefore
m∠PHG = 1/2*m∠GHDSum of two angles of triangle GHP:
m∠PGH + m∠GHD = 1/2(∠BGH + ∠DHG) = 1/2*180° = 90°Therefore the missing angle a is:
∠a = 180° - (m∠PGH + m∠GHD) = 180° - 90° = 90°Let f(x)=4x^2+13x-12 and g(x)=x+4. Perform the function operation
F•g(x)
Please help!!!
Answer: 4x³+29x²+40x-48
Step-by-step explanation:
To solve f(x)·g(x), you multiply them together.
(4x²+13x-12)(x+4) [distribute by FOIL]
4x³+16x²+13x²+52x-12x-48 [combine like terms]
4x³+29x²+40x-48
Now, we know that f(x)·g(x)=4x³+29x²+40x-48.
Answer: 4x³+29x²+40x-48
Step-by-step explanation:
The product of two functions=f(x)·g(x)=fg(x)
Use FOIL method to simplify expression.
FirstOuterInner Laterf(x)·g(x)
=(4x²+13x-12)·(x+4)
=4x³+16x²+13x²+52x-12x-48
=4x³+29x²+40x-48
A square has a perimeter of 24x² +16. What is
the length of each side of the square
Answer:
6x² + 4
Step-by-step explanation:
The 4 sides of a square are equal in measure.
Divide the perimeter by 4 for length of side, that is
side = [tex]\frac{24x^2+16}{4}[/tex] = [tex]\frac{24x^2}{4}[/tex] + [tex]\frac{16}{4}[/tex] = 6x² + 4
(01.01)
Evaluate -40 - 5. (1 point)
8
-8
-35
-45
Answer:
Step-by-step explanation:
-40 - 5 = -45
answer is D
What is the 50th term of Arithmetic sequence 9,2,-5
Answer:
- 334
Step-by-step explanation:
There is a common difference between consecutive terms in the given sequence, that is
d = 2 - 9 = - 5 - 2 = - 7
This indicates the sequence is arithmetic with n th term
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 9 and d = - 7 , thus
[tex]a_{50}[/tex] = 9 + (49 × - 7) = 9 - 343 = - 334
Hey! This is my first question. 35 points, it's not complicated. I'm trying to get my grade up and need to have this explained.
Answer: You should try copying and pasting the question onto google. Someone may have answered the question or something similar on another website.
7p + 3(-6p + 2) > 7p+9+1
Someone help me
Answer:
p > -0.2222
Step-by-step explanation:
7p + 3(-6p + 2) > 7p + 9 +1
7p + (3*-6p + 3*2) > 7p + 10
7p - 18p + 6 > 7p + 10
-11p - 7p > 10 - 6
-18p > 4
p > 4/-18
p > -0.2222
Craig has of collection of 220 marbles. He lets his friend have 14 of his collections and sells 15 of his collection to the novelty store. He takes 15 marbles home to give to his brother. How many marbles remain in Craig's collection?
A flower garden is 22.50m long. Sheila wants to make a border along one side using bricks that are 0.25m long. Find the number of bricks needed. a) 9 (b) 90 (c) 900 (d) none of these
Answer:
(b) 90
Step-by-step explanation:
Four bricks are needed for each meter of length:
4 × 22.5 = 90
90 bricks are needed.
Solve the following equations, show all work. Leave your answers in reduced improper fraction form .
X+7/6=2x-7/6
[tex] \huge \purple {\tt {x + \frac{7}{6} = 2x - \frac{7}{6}}} [/tex]
To Find:[tex] \large {\tt {The \: answer \: in \: reduced}} [/tex]
[tex] \large {\tt { improper \: fraction \: form.}} [/tex]
Solution:[tex] \huge \pink {\tt {x + \frac{7}{6} = 2x - \frac{7}{6}}} [/tex]
[tex] \huge \blue {\tt {or, \: x - 2x = - \frac{7}{6} - \frac{7}{6}}} [/tex]
[tex] \huge \red {\tt {or, \: - x = \frac{ - 14}{6} = \frac{ - 7}{3}}} [/tex]
[tex] \huge \green {\tt {or, \: x = \frac{7}{3}}} [/tex]
Answer:[tex] \huge \orange {\tt {x = \frac{7}{3}}} [/tex]
A. 67
B. 47
C. 52
D. 26
Answer:
Step-by-step explanation:
22 - 55 + 4x = 2x + 7
4x - 33 = 2x + 7
2x - 33 = 7
2x = 40
x= 20
22 - 55 + 4(20) = 2(20) + 7
80 - 33 = 40 + 7
47 = 47
answer is B
Answer:
The answer is B
Step-by-step explanation:
Ann wants to create a design to decorate her Geometry binder. She reflects part of the design across line p and then reflects the image across line n. Describe a single transformation that moves the part of the design from its starting position to its final position A. rotation of 180° about the origin B. translation along the line p= n C. rotation of 90° about the origin D. reflection across the line
Answer: a
Step-by-step explanation:
What is the slope of the line that passes through the points:
(6,-4), (15,-4)
Answer:
The slope is 0
Line is y= -4
Step-by-step explanation:
A cupcake shop earns $950 a day. The total amount of earning varies directly with the number of days. Find the total earning the cupcake shop earns in 5 days.
Answer:
4750
Step-by-step explanation:
950x
950× 5
4750
varying directly with number of days
what is the sum of 3/20+ the square root of 10
Answer:
3.31
Step-by-step explanation:
sqr 10 = 3.16
3/20 = .15
3.16+ .15
3.31
A car is driving at a rate of 3 kilometers per minute. What is the car's speed in meters per hour?
Answer:
180000 Meters per hour
Step-by-step explanation:
3 kilometers × 60 minutes (1 hour) = 180 kilometers per hour and then convert kilometers to meters
Answer:
The car's speed is 180,000 meters per hour.
Step-by-step explanation:
(3 km)/min×(1000 m)/(1 km)×(60 min)/(1 hr)=180,000 m/hr
which symbol will make the number sentence -5 -- 5 true?
A =
b
Answer: b
Step-by-step explanation:
Which property will help solve One-ninth + t = 7 for t?
addition property of equality
transitive property of equality
symmetric property of equality
multiplication property of equality
Answer:
addition property of equalityStep-by-step explanation:
Adding the same number to both sides of equation doesn't change the equality.
¹/₉ + t = 7
+(-¹/₉) +(-¹/₉)
t = 7 + (-¹/₉) = 7 - ¹/₉ = 6⁸/₉
addition property of equality
Bill's temperature was 105° after 5 hours it was 7° lower, how much is it now?
Answer:
98°
Step-by-step explanation:
105-7=98
Find KM in this segment .
Answer:
164
Step-by-step explanation:
7x + 24 = 6x - 20 + 64
7x - 6x = 64 - 20-24
x = 64 - 44
x = 20
KM = 7x + 24 = 7*20 + 24 = 140 + 24
KM = 164
whatssssssssssssss divied 3/7 and 2/3
Answer:
9/14
Step-by-step explanation:
3/7÷2/3=?
Dividing two fractions is the same as multiplying the first fraction by the reciprocal (inverse) of the second fraction.
Take the reciprocal of the second fraction by flipping the numerator and denominator and changing the operation to multiplication. Then the equation becomes
3/7×3/2=?
For fraction multiplication, multiply the numerators and then multiply the denominators to get
3×3
7×2= 914
This fraction cannot be reduced.
Therefore:
3/7÷2/3=9/14
Answer:
9/14
Step-by-step explanation:
3/7 ÷ 2/3= 9/14
To divide a fraction, you have to flip the second fraction and multiply.
3/7 × 3/2 = 9/14
9/14 is in simplest form.
A piece of charcoal was unearthed at an archeological site and found to contain 10% of its original carbon-14. The half-life of carbon-14 is 5,730 years. Which equation can be solved to determine the age of the charcoal?
0.10Ao = Aoe0.000121t
Ao = 0.10Aoe0.000121
0.10Ao = Aoe –0.000121t
Ao = 0.10Aoe –0.000121t
Answer:
It is C
Step-by-step explanation:
Got it right in edg
Answer:
A piece of charcoal was unearthed at an archeological site and found to contain 10% of its original carbon-14. The half-life of carbon-14 is 5,730 years. This means that after 5,730 years, only half of the original amount of carbon-14 will remain. Which equation can be solved to determine the age of the charcoal?
C on edg
Step-by-step explanation:
13) Bubba's Pizza-o-rama is setting up a buffet for a banquet.
There will 3 pepperoni pizzas, 2 cheese pizzas, and 4 supreme
pizzas on the buffet. How many ways can these pizzas be
placed on the buffet?
PLEASE HELP ME THIS IS DUE IN 90 MINUTESSS
Answer:
4. it would take greater than 31.25 hrs for tims price to be better.
Step-by-step explanation: