Answer:
x = -14, 0
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesAlgebra I
Completing the SquareMultiple Roots/SolutionsStep-by-step explanation:
Step 1: Define
(x + 7)² - 49 = 0
Step 2: Solve for x
Add 49 to both sides: (x + 7)² = 49Square root both sides: x + 7 = ±7Subtract 7 on both sides: x = -7 ± 7Evaluate: x = -14, 0Step 3: Check
Plug in x values into original equation to verify they are a solution.
x = -14
Substitute in x: (-14 + 7)² - 49 = 0Add: (-7)² - 49 = 0Exponents: 49 - 49 = 0Subtract: 0 = 0Here we see that 0 does indeed equal 0.
∴ x = -14 is a solution of the equation
x = 0
Substitute in x: (0 + 7)² - 49 = 0Add: 7² - 49 = 0Exponents: 49 - 49 = 0Subtract: 0 = 0Here we see that 0 does indeed equal 0.
∴ x = 0 is also a solution of the equation.
Answer:
Lesser x=-14 Greater x=0
Step-by-step explanation:
x+7)
2
−49
(x+7)
2
(x+7)
2
=0
=49
=
49
Hint #22 / 3
\begin{aligned} x+7&=\pm7 \\\\ x&=\pm7-7 \\ \phantom{(x + 7)^2 - 49}& \\ x=-14&\text{ or }x=0 \end{aligned}
x+7
x
(x+7)
2
−49
x=−14
=±7
=±7−7
or x=0
2 cm on a map is equal to 3 km in real life. If two points are 8 cm apart on the map, how far apart are they in real life?
Answer:
12km in real life.
Step-by-step explanation:
Please mark brainliest.
Use the table to answer the following question.
Х
0
1
2
3
y
8
1
-6
-13
What is an equation that describes the relationship?
0
A. y = 8 - 7x
B. y = 7x + 8
O
C. y = 7x - 8
D. y = 8x - 7
y varies directly with x. When x is 20, y is 8. Find y when x= 15.
y=
type your answer...
Answer:
The value of y=6
Step-by-step explanation:
Given that y varies directly with x
Using the formula
y ∝ x
y=kx
Where k is the constant of proportionality
In order to find 'k' use the given condition
y=8 when x=20
y=kx
k=y/x
= 8/20
= 2/5
Thus, the equation to find 'y' is
y=2/5x
when x=15 then
y=2/5(15)
= 6
Thus, the value of y=6
a bag contains 3 red balls and 1 blue ball. what is the expected number of red balls in the first bag
Answer:
[tex]Expected\ Value = 3[/tex]
Step-by-step explanation:
Given
[tex]Red\ Balls = 3[/tex]
[tex]Blue\ Balls = 1[/tex]
Required
Determine the expected number of red balls
First, we calculate the probability of a red ball
[tex]P(Red\ Ball) = \frac{Red\ Ball}{Total}[/tex]
[tex]P(Red\ Ball) = \frac{3}{3 + 1}[/tex]
[tex]P(Red\ Ball) = \frac{3}{4}[/tex]
[tex]P(Red\ Ball) = 0.75[/tex]
The expected value is then calculated as:
[tex]Expected\ Value = P(Red\ Ball) * Total[/tex]
[tex]Expected\ Value = 0.75 * 4[/tex]
[tex]Expected\ Value = 3[/tex]
Find the formula for an exponential function that passes through the two points given. (x, y) = (0, 4) and (x, y) = (3, 32)
Given:
The exponential function passes through two points (0,4) and (3,32).
To find:
The formula for the exponential function.
Solution:
The general form of an exponential function is
[tex]y=ab^x[/tex] ...(i)
where, a is initial value and b is growth factor.
The exponential function passes through two points (0,4) and (3,32). It means the function must be satisfy by these points.
Putting x=0 and y=4 in (i), we get
[tex]4=ab^0[/tex]
[tex]4=a(1)[/tex]
[tex]4=a[/tex]
Putting a=4, x=3 and y=32 in (ii), we get
[tex]32=4b^3[/tex]
Divide both sides by 4.
[tex]8=b^3[/tex]
Taking cube root on both sides.
[tex]2=b[/tex]
Putting a=4 and b=2 in (i), we get
[tex]y=4(2)^x[/tex]
Therefore, the required formula for the exponential function is [tex]y=4(2)^x[/tex].
A local store has a puppy that weighs 88 ounces. How many pounds does the puppy weigh given that 1 pound = 16 ounces?
Divide 88 by 16
88/16 = 5.5
It weighs 5.5 pounds
Answer:
5.5
Step-by-step explanation:
if you divide 88 ounces by 16 it will give yout he answer of 5.5.
88/16 = 5.5
Simplify 24x^6/12x^-8?
Answer:
2x^14
Step-by-step explanation:
Emily and Andy each go to a hardware store to buy wire.The table shows the relationship between the cost and the length of wire.
a. Emily needs 22 feet of wire. How much will she spend on wire?
b.Andy needs 15 yards of wire.How much will he spend on wire?
Inches. PLEASE HELP ME
Answer:
For part A-Emily would spend $22.70 on 22 feet of wire. For part B- Andy would spend $2.30 for 15 yards of wire.
Step-by-step explanation:
The cost is going down 10 cents by the foot, so getting 22 feet into 264 inches then having 165 into 164 and going up by the ten ending the number in four. Same with the yards in feet then the feet into yards and going down by 10. Hope it helps and makes sense.
How much is 3/5 of 31/8 ?
Answer:
2.325
Step-by-step explanation:
i used a calculator ,i think i did it right lol
PLEASE ANSWER IN 50 MIN I WILL MARK BRAINLIEST
a 2/3 cup full barrel of sand weighs 449 lbs. When the barrel is 1/2 full of sand, it weighs 348 lbs. When empty, the barrel weighs how much lbs
Answer:
174lbs
Step-by-step explanation:
I'm not positive but its my best shot
What is the value of the expression 20/4 - (1/2 + 3 3/4)
Answer:
3/4
You need the LCD which is 4
3 + 1x2/2x2 + 3/4
3 + 2/4 + 3/4
3 + 2+3/4
3+5/4
3 + 1 1/4
20/4 - 4 1/4
20/4 - 4x4+1/4
20/4 - 17/4
5 - 17/4
5x4/4 - 17/4
20/4 - 17/4
3/4
Find the slope and y-intercept (solve for y) -4y+2x= -20
Use the figure to find the measure of the angle.Explain your reasoning.
Answer: angle 2 is 28
Step-by-step explanation:if angle (1) and (2) are supplementary which equals 180degrees; we know angle one is 152 degrees, so a simple 180-152= 28 degrees; so angle 2 is 28
What is the value of the expression when a = 5, b = 4 , and c = 6?
4a/2b−c
2
5
9
10
Step-by-step explanation:
9 +6=15-6=9
so your answer should be 9
mark me brainliest lol
Answer:
now you can say as brainliest to other person :)
What is the slope of the line that passes through the points (8, -9) and (14,−9)? Write your answer in simplest form.
Answer:
A horizontel line equation y=0x+-9 the slope is zero slope
Step-by-step explanation:
Answer:
The slope is 0.
Step-by-step explanation:
m=y²-y¹/x²-x¹
m=(-9)-(-9)/14-8
m=0/6
m=0
Rewrite the following without an exponent.
Answer:
5/6
Step-by-step explanation:
You just need to turn the denominator and numerator's positions upside down.
How many board feet of lumber would you have if you had 5 pieces of 4"x 2 points
4" X 8'?*
Answer:
6
Step-by-step explanation:
-1/4 x + 10=7 show work
-1/4x+10=7
-1/4x=7-10
-1/4x=-3
-12x=-1
x=1/12
pls help in the next 2 mins!! 12/2*-5
Answer:
-30
Step-by-step explanation:
I dont have an explanation
PLS HELP! it’s question 12
Answer:
yes
Step-by-step explanation:
it is going by 5s.
Answer:
Yes. This is because if you plot the numbers on a ration table or see the graph points, you can see a pattern: you multiply by 5. The equation to solve this would be y=5x. Another reason why this is proportional is that the graph starts from the origin (0,0) This is the opposite for non-proportional relationships. Hope this helps! :)
A liter of water contains about 3.35•10^25 molecules. A certain river discharges about 2.8•10^8 litter of water every second. About how many molecules does the ...
Answer: [tex]9.38\times10^{33}[/tex]
Step-by-step explanation:
Given: Molecules in a liter of water = [tex]3.35\cdot10^{25}[/tex]
A certain river discharges about [tex]2.8\cdot10^8[/tex] liter of water every second.
Molecules in river = [tex]3.35\cdot10^{25}\times2.8\cdot10^8[/tex]
[tex]=3.35\cdot2.8\cdot10^{25}\cdot10^8\\\\= 9.38\times10^{25+8}\ \ \ \ [a^m\cdot a^n=a^{m+n}]\\\\= 9.38\times10^{33}[/tex]
Hence, there are [tex]9.38\times10^{33}[/tex] does the molecules in river per second.
the half-life of radium-226 is about 1,590 years. How much of a 100mg sample will be left in 500 years
Aa Bb Cc Dd Ee Ff Gg Hh Ii Jj Kk Ll Mm Nn Oo Pp Qq Rr Ss Tt Uu Vv Ww Xx Yy Zz
I know the best answer ever (*says sarcastically*)
PLEASE HELP ME!
100 POINTS!
A cylinder has a volume of 20x®y4 units cubed. If the base of the cylinder has an area of
5x"y2 units squared, which of the following expressions represent the height of the cylinder?
(Hint: V = Bh)
O 100x®y
O 15wy?
o 4x®y?
O 4xy?
Answer:
100xy
Step-by-step explanation:
The height of the cylinder is 4x³y² unit.
The correct option is A.
What is a cylinder?A cylinder is a 3D solid form made up of two bases that are parallel and identical and are connected by a curving surface. These bases resemble spherical disks. The axis of the cylinder form is a line drawn through the center or connecting the centers of two circular bases.
Given:
A cylinder has a volume of 20x⁶y⁴ units cubed.
The base of the cylinder has an area of 5x³y² units squared.
And the volume of the cylinder V = Base area x height.
So, 20x⁶y⁴ = 5x³y² (height).
The height of the cylinder = 20x⁶y⁴/ 5x³y²
The height of the cylinder = 4x³y²
Therefore, 4x³y² is the height of the cylinder.
To learn more about the cylinder;
https://brainly.com/question/16134180
#SPJ5
The complete question is given in the attached image.
Triangle JKL, shown below, is translated 7 units to the right
then reflected across the x-axis.
у
+6
K
+51
4
J
VL
*3
*2
1
-6 -5 -4 -3 -2 -1 0
*1 2 3 4 5 6
1
2.
3
5 6
What will be the new coordinates of point J, after the
triangle has been transformed?
Answer:
dont known sorry
Step-by-step explanation:
what is 8/5 divided by 1/4
What is the order of how a bill becomes a law?
hello I need help on this
Answer: well depends on how much points you scored in your last game
Step-by-step explanation:
Help with number 5 show work and explanation
ASAP PLEASE!!!!!!
The perimeter of the parallelogram is 30 feet. Find m.
m=11
Step-by-step explanation:
the top side is 4, so that means the bottom side will also be 4, add them both, you get 8, 30-8 = 22, 22/2 = 11, m=11
Answer:
3
Step-by-step explanation:
2(4m + m) = 30
8m + 2m = 30
10m = 30
Divide by 10 on each side
m = 3
Check:
2 ( (4 x 3) + 3) = 30
2 ( 12 + 3) = 30
24 + 6 = 30
30 = 30
Hope this helps! :)
Which equation can maya use to find how much of the project she painted in all
Answer:
D
Step-by-step explanation: