To Find :
The equation of the quadratic whose Vertex is at ( −4,−5) and passes through the point (−3, −7).
Solution :
A quadratic equation in vertex form is given by :
[tex]y = a(x-h)^2 + k[/tex]
( Here, h, k is the vertex )
y = a(x-(-4))² + (-5)
y = a(x+4)² - 5
Now, putting (-3,-7) in above equation:
-7 = a( -3 + 4 )² - 5
a(1)² = -2
a = -2
Therefore, the equation of the quadratic is y = -2(x+4)² - 5 .
HELP HELP HELP HELP!!!!
Answer:
18ft^2
Step-by-step explanation:
to find area of a triangle you you multiply the base times height then divide by 2 which for this question will come out to be 2. The area of square in this question is 4 time 4 which equals to 16. 16 plus 2 is 18, so the and is 18ft^2
Solve the equation –15 + 10y = 25 for y.
Answer:
y = 4
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityStep-by-step explanation:
Step 1: Define
Identify
-15 + 10y = 25
Step 2: Solve for y
[Addition Property of Equality] Add 15 on both sides: 10y = 40[Division Property of Equality] Divide 10 on both sides: y = 4Please look at the image
Answer:
2) <TWN and <SWM
Step-by-step explanation:
2) <TWN and <SWM
Answer:
(2)
Step-by-step explanation:
This is because they are both vertical to one another!
Hope this helps!
Why don't we use the Richter scale anymore?
Answer:
The Richter scale was abandoned because it worked best for earthquakes in southern California, and only those hitting within about 370 miles (600 kilometers) of seismometers. These days, scientists detect temblors on the other side of the Earth. In addition, the scale was calculated from one type of earthquake wave, a kind that doesn't help much when measuring truly massive quakes, like Japan's magnitude-9 in 2011. So seismologists created a new scale, called the moment magnitude scale. The moment magnitude scale captures all the different seismic waves from an earthquake, giving a better idea of the shaking and possible damage.
Step-by-step explanation:
MARK ME BRAINLIEST THANKS MY ANSWER PLEASE
If p is directly proportional to q, and p = 40 when q = 15, find q when p = 64
Solve X^2 - 6x = -5 by completing the square. Show all work for the steps below. A) For x^2 - 6x + c = -5 + c, what value of c is used to complete the square? B) Substitute the value for c in Part 2(a). Then complete the square to rewrite the equation as the square of a binomial. C) Solve for x. ( Will Mark Brainliest but no links or nonsense answers please) I Also Posted A Picture Of The Question And Steps so you can see what the question and steps are to take.
Answer:
Below.
Step-by-step explanation:
x^2 - 6x = -5
x^2 - 6x + 9 = -5 + 9 c = 9
(x - 3)^2 = 4
x - 3 = +/- sqrt4
x - 3 = +/- 4
x - 3 = 2 gives x = 5 and
x - 3 = -4 gives x = -1.
Is (x - 1) a factor of 2x^3– 3x^2– 18x – 8?
Answer:
No.
x-1 is not a factor of the polynomial
X-1 = 0
X = 1 ........(1)
put the value of X in given equation
2 (1)^3-3(1)^2-18(1)-8=0
2-3-18-8=0
-27 is not equal to 0.
x-1 is not factor of given equation....
Gabriel multiplied a number by 5 instead of 3. The answer that he got was
12 more than the correct answer. What was the original number?
Answer:6
Step-by-step explanation:
The original number that was multiply by 5 instead of 3 is 6.
What is the orignal number?The equation that can be used to represent the informatioin in the question is:
5x - 3x = 12
Where x is the original number
In order to determine the value of x, take the following steps
Combine similar terms: 2x = 12
Divide both sides by 2
x = 6
To learn more about multiplication, please check: https://brainly.com/question/3385014
In 1996 a town had 170 cell phone users. This number
increased by 75% each year. Which function could be used
to find the number of phone users t years after 1996?
Answer:
Step-by-step explanation:
The function to find the number of phone users t years after 1996 is y= [tex]170(1.75)^t[/tex].
What is the function?Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.
Given that, in 1996 a town had 170 cell phone users. This number increased by 75% each year.
Let the number of phone users t years after 1996 be y
The number of phone users t years after 1996 is
y= [tex]170(1+\frac{75}{100})^t[/tex]
y= [tex]170(1.75)^t[/tex]
Therefore, the function to find the number of phone users t years after 1996 is y= [tex]170(1.75)^t[/tex].
To learn more about the function visit:
https://brainly.com/question/28303908.
#SPJ5
Can someone answer this?
x = 46°
Step-by-step explanation:
The missing angle on the left triangle is 180 - (85 + 53) = 42°. By the definition of vertical angles, the angle on the right triangle is also 42°. Since the total of all the interior angles of a triangle is 180°, then
92 + 42 + x = 180
or
x = 46°
What is the area, in square units, of the parallelogram shown below?
21 s u
56 s u
63 s u
81 s u
Answer:
Area of parallelogram = 63 square units
Step-by-step explanation:
In the given parallelogram:
Height of parallelogram = 9 units
Base of parallelogram = 7 units
Find:
Area of parallelogram
Computation:
Using area of parallelogram;
Area of parallelogram = Height of parallelogram x Base of parallelogram
Area of parallelogram = 9 x 7
Area of parallelogram = 63 square units
Which expressions are equivalent to
-90-60w?
Choose 3 answers:
A) -30(3+2w)
B) (-9-6w)•10
C) -3(30-20w)
D) (6+4w)x15
E) -20(4.5+3w)
Answer:
C
Step-by-step explanation:
-30(3+2w= the other way around
c the better way around!
Thank you make me brainliest please!
It is desired to estimate the average time it takes Statistics students to finish a computer project to within two hours at 90% reliability. It is estimated that the standard deviation of the times is 14 hours. How large a sample should be taken to get the desired interval? n = 231 n = 189 n = 325 n = 133
Answer:
n = 133.
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.9}{2} = 0.05[/tex]
Now, we have to find z in the Z-table as such z has a p-value of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.05 = 0.95[/tex], so Z = 1.645.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
Standard deviation of the times is 14 hours.
This means that [tex]\sigma = 14[/tex]
How large a sample should be taken to get the desired interval?
Within 2 hours, which means that we want n for which M = 2. So
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]2 = 1.645\frac{14}{\sqrt{n}}[/tex]
[tex]2\sqrt{n} = 1.645*14[/tex]
Dividing both sides by 2
[tex]\sqrt{n} = 1.645*7[/tex]
[tex](\sqrt{n})^2 = (1.645*7)^2[/tex]
[tex]n = 132.6[/tex]
Rounding up, n = 133.
Select the correct answer.
Mike wants to find the confidence interval for a set of data. He knows the sample size and the sample proportion. Which other piece of information does he need to determine the confidence interval?
A.
the number of favorable responses
B.
the critical value
C.
the standard deviation
D.
the standard error of the mean
its A the critical value because I just took the test and got it right
Answer:
Yeahhhh!! the critical value
Step-by-step explanation:
She buys 12 bottles of tomato juice each bottle contains 3/4 cup of juice sheena also buys 12 bottles of orange juice each bottle contains 3 cups of orange juice
please help me with this !!
Answer:
m∠J = 32°
m∠G = 78°
Step-by-step explanation:
ΔHJI ≈ ΔGEF respectively means;
∠H ≅ ∠G
∠I ≅ ∠E
∠J ≅ ∠F
Therefore;
Since ∠F = 32°, then ∠J = 32°
Since ∠H = 78°, then ∠G = 78°
Hope this helps!
QUICK GIVING BRAINLIEST TO CORRECT ANSWER
Answer:
4cm
Step-by-step explanation:
length is how tall, so 4cm
Please help me solve (with each step) the following:
log7 -2b-9=-6
Find the Area of the shaded region. Round your answer to the nearest tenth.
Answer:
210 ft^2
Step-by-step explanation:
The figure is made up of a rectangle 15 ft by 12 ft and a triangle with base 15 ft and height 4 ft.
A = LW + BH/2
A = (15 ft)(12 ft) + (15 ft)(4 ft)/2
A = 180 ft^2 + 30 ft^2
A = 210 ft^2
Answer:
210ft²
Step-by-step explanation:
Step one, find the area of the square. --->
A= bh (Area equals base times the height)
15×12=180
Step two, find the area of the triangle.
A=bh÷2 (Area equals base times the height divided by 2)
4×15= 60÷2= 30
Step three, add the solutions together
180+30=210
Janice has $35.50
She has $10.35 more than Siti
siti has $12.80 less than Amiya
How much money does Amiya
have
siti = x
Janice = 35.50$
Janice = 10.35 + x = 35.50
x = 35.50 - 10.35
x = 25.15
Siti = 25.15$
Amiya = y
Amiya = y - 12.80 = 25.15
y = 25.15 - 12.80
y = 13.25$
Anyone here able to lend a helping hand?
Answer:
Step-by-step explanation:
1). Vertical intercept of the graph = Point at which the graph intersects the y-axis.
Therefore, vertical intercept is y = 1000.
In this situation vertical intercept means the initial dose of the drug taken = 1000 mg.
2). From the graph attached, point (x, y) represents,
x = Time 't' or duration
y = concentration of the drug after time 't'
Point (0, 1000) represents concentration = 1000 mg of the drug after t = 0 hour
Similarly, (1, 750) represents concentration = 750 mg after t = 1 hour
Therefore, fraction of drug remained = [tex]\frac{750}{1000}[/tex]
= [tex]\frac{3}{4}[/tex]
3). Let the equation, representing the concentration of the drug and time is,
[tex]y=a(b)^t[/tex]
Here, a = Initial amount of the drug (at t = 0 hours)
= 1000 mg
At (t = 1 hours), concentration of the drug = 750 mg
[tex]y=1000(b)^t[/tex]
[tex]750=1000(b)^1[/tex]
[tex]b=\frac{750}{1000}[/tex]
[tex]b=\frac{3}{4}[/tex]
Therefore, equation will be,
[tex]y=1000(\frac{3}{4})^t[/tex]
FOR 50 POINTS. HELP ASAP!!!! John is looking at the eagle on top of a building. The height of the building is 120 ft.
Approximately how many feet is Jack away from the base of the building?
The degree is 60*
Choices are
A.70ft
B.208ft
C.240ft
D.120ft
Answer:
A. 70 ftStep-by-step explanation:
Use trigonometry.
tangent = opposite / adjacentWe have:
opposite = 120 ftangle = 60°adjacent = xSolve for x:
tan 60° = 120/xx = 120 /tan 60°x ≈ 70 ftPLEASE HELP ASAP Use the figure to complete the following trigonometric ratios.
Answer:
[tex]sinB=\frac{15}{17} , cos B=\frac{8}{17} , tanB=\frac{15}{8} \\sinA=\frac{8}{17} , cos A=\frac{15}{17} , tanA=\frac{8}{15}[/tex]
Step-by-step explanation:
[tex]sinB=\frac{15}{17} , cos B=\frac{8}{17} , tanB=\frac{15}{8} \\sinA=\frac{8}{17} , cos A=\frac{15}{17} , tanA=\frac{8}{15}[/tex]
The two figures are similar. Write the similarity statement. Justify your answer,
Answer:
Triangle RTS is similar to JLK
Step-by-step explanation:
Scale factor is 1.5
A package of 8 pencils costs $0.96. What
is the cost per pencil?
A $0.11
B $0.12
C$0.10
D $0.20
Answer:
B
Step-by-step explanation:
0.96/8=0.12
Answer:
B. $0.12
Step-by-step explanation:
Just divide the total cost ($0.96, but for the sake of this question it's 96) by the number of pencils (8) and you get 12, which, again, for the sake of this question, is 12 cents. I hope this helps
An angle measures 114° more than the measure of its supplementary angle. What is the measure of each angle
Answer:
33º and 147º
Step-by-step explanation:
x + (x + 114) = 180
2x + 114 = 180
2x = 66
x = 33º
x + 114 = 147º
what is the value of x
Step-by-step explanation:
2x+30+x+72°=180
3x+30=180°-72°
3x+30=108°
A circle of radius of 4 inches has an arc length of 5.8 inches. Find the measure of the central angle.
The radius of the circle is 4 inch and has an arc length of 5.8 inches . We know that if the central angle is 360° then the arc length is [tex]2\pi r [/tex] . Similarly when angle is theta ,
[tex]\implies Arc = radius \times \theta [/tex]
Now substitute respective values , from the given data ,
[tex]\implies 5.8 inch = 4inch * \theta \\\\\implies 0.14 m = 0.1 * \theta \\\\\implies \boxed{\red{\theta \approx 1.4 \ rad }}[/tex]
This is our required answer!
LM is the midsegment of trapezoid RSXY. What is the length of RS?
Can somebody help me with this
Write an equation to represent the following description. The difference of seven times a number and 15 is 41.
Answer: 3
7x + 15 = 41 or 7x - 15 = 41
Answer:
7x - 15 = 41
Step-by-step explanation:
The key word is "difference" so keep that in mind. 7 times a number and 15 is 41. The "number" is unknown so a variable can be put in place until the number is known. The whole equation equals 41. The word "and" is where the "difference" or subtraction sign should go. Now we have a translated description! I hope this helps and if I'm wrong, please let me know!