Answer:
x = {2, 8}
Step-by-step explanation:
(x - 3)^2 = 25
Take the square root of both sides
x - 3 = ±5
Add 3 to both sides
x = ±5 + 3
x = 5 +3 = 8
x = -5 + 3 = 2
x = {2, 8}
Answer:
x = 8, -2
Step-by-step explanation:
[tex](x-3)^2=25[/tex]
[tex](8-3)^2=25[/tex] Substitute x for 8 the subtract 8 - 3
[tex](5)^2=25[/tex] Multiply 5 by 5
[tex]25=25[/tex]
[tex](x-3)^2=25[/tex]
[tex](-2-3)^2=25[/tex] Substitute x for -2 then subtract -2 - 3
[tex](-5)^2=25[/tex] Multiply -5 by -5
[tex]25 = 25[/tex]
100 POINTS!!!!! help me with this and I swear on my life and everything I will give u 100 points, check my profile points if u dont beleive me, must be right only after ill give u them
Answer:
7x + 5
12x^2 + 20x
2
Step-by-step explanation:
1. (g + h)(x)
We can also write this as g(x) + h(x). Next we can substitute in the expressions for each function:
g(x) + h(x)
3x + 5 + 4x
7x + 5
2. (g * h)(x)
We can also write this as g(x) * h(x). Next we can substitute in the expressions for each function:
g(x) * h(x)
(3x + 5) * (4x)
We can distribute 4x to both terms:
3x * 4x + 5 * 4x
12x^2 + 20x
3. (g - h)(3)
We can also write this as g(3) - h(3). We can separately evaluate g(3) and h(3):
g(3) = 3(3) + 5
g(3) = 9 + 5
g(3) = 14
h(3) = 4(3)
h(3) = 12
Now, we can plug in these two values:
g(3) - h(3)
14 - 12
2
[tex]3 + 9 - 2 12 \div 3[/tex]
What is the midline equation of the function g(x) = 2 cos(7x + 5) + 1?
Answer:
y = 1
Step-by-step explanation:
The midline of h(x) = 2 cos(7x + 5) is y = 0.
The graph of g(x) = 2 cos(7x + 5) + 1 is the same, except that the entire graph of h(x) is translated up by 1 unit.
Thus, the midline of g(x) = 2 cos(7x + 5) is y = 1.
Kevin is 30 years old. He wants to take out a 15-year level term insurance policy with a face value of $500,000. The monthly premium is $56. What will be his total cost over the 15-year period?
Answer:
$10,080
Step-by-step explanation:
Monthly premium = $56
So, yearly premium = $56 × 12 = $672
Time period = 15 years
Now, we can calculate the total cost for 15 years period by using following formula,
Total cost = yearly premium × Time period
By putting the value, we get
Total cost = $672 × 15
= $10,080
Hence, total cost for 15 years period is $10,080.
A veterinarian asked each of her 18 patrons if they have a dog. She also asked each patron if they have a
cat. The Venn diagram below shows the data she collected.
Complete the following two-way frequency table.
Have a cat
Do not have a cat
Have a dog
Do not have a dog
Have a dog
Have a cat
5
7
6
0
Answer:
Have a cat Do not have cat
Have a dog 7 5
Do not have a dog 6 0
Step-by-step explanation:
Have a cat Do not have a cat
Have a dog 7 5
Do not have a dog 6 0
How to fill the two-way frequency table?The interesection of the two circles represents the number of patrons that have both dogs and cats. The number in the circle that represents the number of people that have dogs only is 5 and the number in the circle that represents the number of people that have cats only is 6.
To learn more about sets, please check: https://brainly.com/question/13192210
Solve −18=6+6x .
x = __
Answer:
x = -4
Step-by-step explanation:
-18 = 6+6x
-18 -6 = 6x
-24 = 6x
-24/6 = x
x = -4
Checking Part:
-18 = 6 + 6x
-18 = 6 + 6(-4)
-18 = 6 -24
-18 = -18
Answer:
-4
Step-by-step explanation:
Subtract 6 to get X by itself and that leaver you with - 24=6x now divide by 6 to get x=-4
Hope this helps
Find the measure of the angle indicated
=======================================================
Explanation:
The arc measures shown are 138 and 58. Subtract the arc measures and divide by 2 to get the answer
(138-58)/2 = 80/2 = 40 degrees
The general formula is
(A - B)/2
where A and B are the arc measures. The value of A is always the larger arc measure. This formula works for two secant lines as this diagram shows, and it also works for a secant line and tangent line, and lastly it works if both lines were tangent.
A DrillingRick was diggingA well in the valley it dug to a point of -50 Meters in one day After 18 hours at how many meters would the rig be if it moved at the same amount each hour? Show your work.Explain your answer
Answer:
37.5 meters
Step-by-step explanation:
depth of well : hours of digging
it dug to a point of -50 Meters in one day
= 50 meters : 24 hours
After 18 hours at how many meters would the rig
Let
x = depth that will be rigged
depth of well : hours of digging
= x meters : 18 hours
Equate the ratios
50 meters : 24 hours = x meters : 18 hours
50/24 = x/18
50 * 18 = 24 * x
900 = 24x
x = 900/24
x = 37.5
x = depth that will be rigged = 37.5 meters
What is the radius of this circle?
Answer:
radius is 9
Step-by-step explanation:
radius is half the diameter which is 18 and half of 18 is 9
Find the area of the triangle (photo is there)
Answer:
solution;
here;
we have;
base = 20m
height = 17m
Now;
we know;
area of triangle = 1/2*b*h
= 1/2*20*17 [1/2 = 0.5]
= 0.5 * 340
= 170m^2
Hope you got it !!!!
Answer:
170
Step-by-step explanation:
To find the area of a triangle, you just multiply the base by the height and divide by 2 .
In your problem, the base is 20 and the height is 17.
When you multiply those numbers, the answer is 340.
You then just have to divide that by 2, and you get 170.
What is the height of the flagpole?
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Answer:
Step-by-step explanation:
a). Points on a number line are,
x = -7, 1
Number of small blocks between x = -7 and 1 is 8.
Distance = 8
b). Difference between two points x = -7, 1 will be,
1 - (-7) = 1 + 7
= 8
-7 - 1 = -8
c). Absolute value of each difference,
|1 - (-7)| = 1 + 7
= 8
|-7 - 1| = |-8|
= 8
A recipe for baba ghanoush cause for twice as much olive oil as lemon juice
Which expression represents the amount of olive oil needed for 4 tablespoons of lemon juice choose ALL that apply
A). 4•4
B). 4+2
C). 4•2
D). 4+4
Answer:
A. 4.4 I am doing good today
On Monday, a museum had 600 visitors. On Tuesday, it had 740 visitors. Estimate the percent change in the number of visitors to the museum.
hey! i’ll give brainliest please help
Answer:
D
hope this helps
have a good day :)
Step-by-step explanation:
PLEASE HELPPP
identify the solution to the system of equations
Answer:
x= y=2
Because that's why the lines intercepts
what two numbers multiple to -48 & add to -8
Answer:
-12 and 4
Step-by-step explanation:
-12 x 4 = 48
and
-12 + 4 = -8
Answer:
-12 and +4
Step-by-step explanation:
-12 * 4 = - 48
-12 + 4 = - 8
Stephen kicked a ball inside. The equation that represents the height h in feet of the ball after being kicked and elapsed amount of time t in seconds
Answer:
The maximum height of the ball is: 14.0625ft
Step-by-step explanation:
The missing information is:
[tex]h(t) = 30t - 16t^2[/tex]
Required
The maximum height the ball attained
First, we calculate the time to reach the maximum height.
For a function: [tex]h(t) = at^2 + bt + c[/tex]
The maximum is: [tex]t = \frac{-b}{2a}[/tex]
So, the maximum of [tex]h(t) = 30t - 16t^2[/tex] is:
[tex]t = \frac{-b}{2a}[/tex]
Where
[tex]a = -16; b = 30[/tex]
So:
[tex]t = -\frac{30}{2*-16}[/tex]
[tex]t = -\frac{30}{-32}[/tex]
[tex]t = \frac{30}{32}[/tex]
[tex]t = 0.9375[/tex]
The maximum height is then calculated as:
[tex]h(t) = 30t - 16t^2[/tex]
[tex]h(0.9375) = 30 * 0.9375- 16 * 0.9375^2[/tex]
[tex]h(0.9375) = 28.125- 14.0625[/tex]
[tex]h(0.9375) = 14.0625[/tex]
Find the the sum for the shown infinite geometric series?
2,2/3, 2/9, ...
Answer:
3
Step-by-step explanation:
The formula for the sum of an infinite geometric series is
[tex]\frac{a}{1-r}[/tex]
Where a is the first term and r is the common ratio. We can see that the first term is 2, and to find the common ratio, we can divide a term by the one before it. We can get:
[tex]\frac{\frac{2}{3}}{2} =\frac{2}{3} *\frac{1}{2}=\frac{1}{3}[/tex]
Now, we have all the values need to evaluate the formula. We can plug them in:
[tex]\frac{2}{1-\frac{1}{3} } \\\frac{2}{\frac{2}{3} } \\2*\frac{3}{2}\\3[/tex]
supply the reason................
Answer:
Step-by-step explanation:
2.CB≅CB (being common side)
3.triangle CAB≅ triangle BDC(by ASA axiom)
4.length AB≅ length CD( Given )
Answer for 60 Points
Answer:
Measure of angle VWU=48°
Measure of angle SUT= 87°
Two pairs of vertical angles: SUT & VUW, VUS & WUT
Answer:
Measure of angle VUW=48° Measure of angle SUT= 87° Two pairs of vertical angles: SUT & VUW, VUS & WUT
Step-by-step explanation:
tnx for pionts
(I'm probably spammy lol)
More babes-
I just need help, like point me in the right direction, something.
I'm so tired-
Answer:
x= 9
Step-by-step explanation:
85 + 2x +2 + {180 -(11x + 6) }=180 (sum of angles in a triangle)
87 + 2x + 180 - 6 -11x = 180
87 -9x - 6 = 0
81 = 9x
x= 9
Jaleel wrote a book. He wants to print some copies for
his friends and family. The printing company charges a
one-time fee of $200, plus $2 for each printed book.
Is the number of books he prints a function of total cost?
Yes?
No?
Which expression represents the complete factorization of x^3 + 4x^2 - 4x - 16?
A. (x^2 - 4) (x + 4)
B. (x + 2) (x - 2) (x + 4)
C. (x^2 - 4) (x + 2)
D. 4(x - 4) (x - 5)
Matthew worked a summer job and saved $900 each
summer for the last 4 years. He also has been awarded a
grant in the amount of $5,000 and he received $3,000 in
scholarships. He estimated the first year of college to cost
$13,000. If he uses his savings, the grant, and his
scholarship, how much more will he need to pay for the
first year of college?
Answer:
1400
Step-by-step explanation:
hope that helps <3
2. What is the median (measure of center)
number of TVs in Mr. Zimmerman's Class?
type here
Answer:
3
Step-by-step explanation:
I really need some help please
Answer:
y - 1 = 3/2(x - 4)
Step-by-step explanation:
plug in the given(known) x and y coordinates into the point-slope form:
=> y - 1 = 3/2(x - 4)
What is the area of the figure composed of a parallelogram, a square, and a rectangle?
10 in.
3.5 in.
4 in.
6 in.
12,5 in.
In a sale, the selling price of a printer is reduced by 20%. Find the sale price of the printer,given that its normal selling price is 3600.
Normal price - 3600
offer on printer = 20% = 3600×20/100 = 720
The sale price of printer = 3600 - 720= 2880
In the figure below, what is the measurement of GH ?
Answer:
C. 4
Step-by-step explanation:
first off, we know we need the value of HJ to solve for GH. Luckily for us HJ is congruent to JK, and we have the values to solve for that using pythagorean theorum.
4^2 + JK^2 = 5^2
16 + JK^2 = 25
JK^2 = 9
JK = 3
now we can solve for GH
3^2 + GH^2 = 5^2
9 + GH^2 = 25
GH^2 = 16
GH = 4