Answer:
(-2, -4)
Step-by-step explanation:
y = f(x) = ax²+bx +c
given the vertex is (3, -4)
=> the symetry axis: x = 3
x = -b/2a = 3
so, -b = 6a => b = -6a
the function f(x) = x²-6x + 5
g(x) = f(x+5)
g(x) = (x+5)²-6(x+5)+5
g(x) = x²+10x+25-6x-30+5
g(x) = x²+4x
=> a=1, b=4
find the vertex of the function g :
the symetry axis: x= -4/2(1) => x = -2
y = g(-2) = (-2)²+4(-2)= 4-8 = -4
so, the vertex is (-2, -4)
Answer:
(-2, -4)Step-by-step explanation:
Vertex form of a quadratic function:
f(x) = (x - h)² + kWe have (h, k) = (3, -4)
The function f(x) is:
f(x) = (x - 3)² - 4The function g(x) is:
g(x) = f(x + 5) =
(x + 5 - 3)² - 4 =
(x + 2)² - 4
Vertex of g(x) is:
(-2, -4)A ladder that is 20 feet long leans against the wall of a building such that its base makes a 62 degree angle with the ground. Determine the height, h, that the ladder reaches up the wall. Round your answer to the nearest tenth of a foot.
Answer:
17.7 ft
Step-by-step explanation:
A ladder that is 20 feet long leans against the wall of a building such that its base makes a 62 degree angle with the ground. Determine the height, h, that the ladder reaches up the wall. Round your answer to the nearest tenth of a foot.
We solve using the Trigonometric function of sin
sin = Opposite/Hypotenuse
Opposite = Height = ?
Hypotenuse = Length of the ladder = 20 ft
Hence:
sin 62 = h/20 ft
Cross Multiply
h = sin 62 × 20 ft
h = 17.658951857 ft
Approximately = 17.7 ft
Please help me ASAP!
Answer:
B: 153ft2
Step-by-step explanation:
How much money should be deposited in an account today that earns 4% compounded monthly so that it will accumulate to $10,000 in 5 years?
Answer:
$8206.37
Step-by-step explanation:
According to the Question,
Given, Some money should be deposited in an account today that earns 4% interest Annually. but it is compounded monthly so (4/12)% Will be the new interest Rate .
Now, What Money Should be Invested For 5 years(60 months) to get $10000 in Return .
The Formula for Compound interest is [tex]A=P(1+\frac{r}{n})^{nt}[/tex] .
We have, r=4% , n=12 , t=5 & A=$10000 Put These all value in above equation.
[tex]10000=P(1+\frac{0.04}{12})^{60}[/tex]
[tex]P= \frac{10000}{1.0033^{60} }[/tex] ⇔ $8206.37 Should be invested .
12. Three fifths of the children at my party like chocolate ice cream. How many of the 20 children at my party do not like chocolate ice-cream ? ……………………….
13. I have to pack 296 apples into 8 boxes. How many apples will there be in a box if each box contains the same number of apples? There will be 37
14. If I share 123 sweets equally among amongst 7 children, how many sweets will each child get?
……………………………………..
15. One soccer ball costs $4.50. How much will the soccer will balls in the picture cost?
Amy is going on a 4 1 4 4 4 1 mile hike. She has already hiked 2 3 4 2 4 3 miles. How many more miles does she have left
Answer:
1 1/2 miles
Step-by-step explanation:
Amy is going on a 4 1 /4 miles hike. She has already hiked 2 3 /4 miles. How many more miles does she have left?
We solve the above question using the operation of Subtraction
The number of miles she has left is calculated by:
Total number of miles she must hike - Number of miles she has hiked
Total number of miles she must hike
= 4 1/4 miles
Number of miles she has hiked = 2 3/4 miles
Therefore:
The number of miles she has left to hike is = 4 1/4 miles - 2 3/4 miles
Lowest Common Denominator = 4
4 - 2 + ( 1/4 - 3/4)
2 + (1 - 3/4)
2 + -2/4
1 2/4
= 1 1/2 miles
Pls help me with this it's urgent!
Answer:
function is the correct answer
Answer:
an = a1 + (n - 1 ) d (Function)
Step-by-step explanation:
This is the formula that will be used when we find the general (or nth) term of an arithmetic sequence. So it is function
What is the greatest common factor of 4 - 6а?
Answer:
GCF (4 ,6) = 2
Greatest common factor (GCF)
Step-by-step explanation:
how would i solve this with a graph AND A FUNCTION TABLE?!?!?!?!?
y=-1/4x - 3
Please help me need ASAP
Answer:
The answer is either (3) or (4) because drawing a line of best fit and finding its gradient is going to give you a negative answer
Answer:
-0.93
Step-by-step explanation:
As mentioned by Nicolas above, the line of best fit should give a negative coefficient because as x increases, y decreases.
Furthermore, since the lines do not make a perfect line, it cannot be the perfect fit, or a correlation of -1.00.
So we choose a negative answer but not -1.00 as explained previously. That lease the only choice of -0.93, by elimination without doing any calculations.
Find the sum of the following series. Round to the nearest hundredth if necessary,
3 + 6 + 12+ ... +49152
Sum of a finite geometric series:
Q] - a
Sn =
1-T
Answer:
[tex]sum = \frac{a( {r}^{n - 1} )}{r - 1} \\ : but \: l = a( {r}^{n - 1} ) \\ 49152 = 3( {2}^{n - 1} ) \\ 16384 = {2}^{n - 1} \\ {2}^{n} = 32768 \\ {2}^{n} = {2}^{15} \\ n = 15 \\ \therefore \: sum = \frac{3(2 {}^{15 - 1}) }{15 - 1} \\ = \frac{49152}{14} \\ = 3510.9[/tex]
I need help ASAP I wasn’t paying attention and lowkey forgot all of this
Answer:
35
Step-by-step explanation:
Only if u put x as 35 will the whole triangle sum equal 180 as necessary for the theorem to be true.
Write the expression in complete factored form.
5c(a + 3) + q(a + 3) =
Answer:
( a + 3 ) ( 5c + q )
Step-by-step explanation:
5c ( a + 3 ) + q ( a + 3 )
= ( a + 3 ) ( 5c + q )
One limitation of pre-operational thought is the belief that non-living objects have life-like qualities?
Answer:
Animism
Step-by-step explanation:
Animism is often a major idea or thought which is developed in a child preooperational stage according to paiget's theory of cognitive development where a child's learning is driven and derived from by symbols. At this stage, a child often relates with their toys, and other inanimate objects they come across as though they were real, manipulating and transforming them to form different things including relating with these manipulated objects like they were living. This is because at this stage, a child cannot use cognitive or logic to make distinctions.
Find the distance between the two points in simplest radical form (-3,1) (-6,-7) plz
Answer:
√73
Step-by-step explanation:
d = √(x2 - x1)² + (y2 - y1)²
√[-6 - (-3)]² + (-7 - 1)²
√(-3)² + (-8)²
√(9) + (64)
√73
8.5
Is the missing side length a leg or the hypotenuse?
Answer:
the missing side is
[tex] \sqrt{9 {}^{2} + 12 {}^{2} } = 15 \: yards[/tex]
Answer: Hypotenuse
Step-by-step explanation:
This is a right triangle because it has a right angle, and the longest side of a right triangle is the Hypotenuse. The question mark in this image is asking about the longest side of this triangle, so therefore, it is the hypotenuse, not a leg.
The area of a rectangular parking lot is 3960 m²
If the length of the parking lot is 72 m, what is its width?
Answer:
3816m
Step-by-step explanation:
72 + 72= 144
8960 - 144= 3816
What is the nth term rule of the linear sequence -5,-7,-9,-11,-13
Answer:
-7
Step-by-step explanation:
cause I took the test and got it right in my first try
Find the area of each figure. Use 3.14
===============================================================
Explanation:
The top and bottom semicircles can be joined to form a full circle. The same can be said about the left and right semicircles. Each circle has diameter 3 and radius 1.5
The area of one circle is
A = pi*r^2
A = 3.14*(1.5)^2
A = 7.065
So two circles doubles to 2*7.065 = 14.13 square meters in area.
Then the last step is to add on the area of the 3 by 3 square (area 3*3 = 9) to get 14.13+9 = 23.13
This area is approximate because pi = 3.14 is approximate. Use more decimal digits in pi to get a more accurate area. However, your teacher wants you to use this specific value so it's best to stick with 23.13
Answer:
23.14
Step-by-step explanation:
The shape is basically two equal-sized circles and a square.
Find the area of the square: 3 x 3 = 9
9 is the area of the square
The formula for finding the area of a circle is pi x radius squared.
3.14 x 1.5 squared = 7.06858
Round to 7.07 and multiply by 2 = 14.14
14.14 (area of both circles) + 9 (area of square) = 23.14
6th grade math help me pleaseee
Answer:
$0.27
However answered below me is correct. I divided backwards.
My apologies. It is 5am here locally and I've been up doing math for too many hours.
Unit price = Total cost divided by quantity
Unit price = 1.91 ÷ 7= 0.2728571429
rounded to the nearest cent $0.27
Answer:
27 cents
Step-by-step explanation:
Answer fast again important
Answer: 17 square inches.
Step-by-step explanation: Area of a triangle is 1/2 x b x h. We can just take the area of half of the whole triangle, and double it. In this case, half of the triangle has an area of 1/2 x 3.4 x 5 = 8.5. Doubling it is the same is doing 8.5 x 2, which equals 17.
the mean of three number is 15. if 2 of the numbers are 18 and 16 what is the third number
Answer:
11
Step-by-step explanation:
The mean is calculated as
mean = [tex]\frac{sum}{count}[/tex]
let the third number be x , then
[tex]\frac{18+16+x}{3}[/tex] = 15 ( multiply both sides by 3 to clear the fraction )
34 + x = 45 ( subtract 34 from both sides )
x = 11 ← third number
Use 3.14 = 7 to find the volume of the composite shape below.
15 in
20 in
18 in
The total volume of this composite shape is
Awnser: 16022 in3
Step-by-step explanation:
find the volume of the 2 cones find the volume if the semicircle then add the 2 volumes together.
the volume of this triangular prism is ….. cubic inches. please someone help, will give brainliest asap just explain how❤️❤️❤️❤️❤️
Answer:
I think the answer is 278.85
Step-by-step explanation:
Answer:
278.85
Step-by-step explanation:
A bag contains 3 red marbles, 4 blue marbles and 7 green marbles. If two marbles are drawn out of the bag, what is the probability, to the nearest 100oth, that both marbles drawn will be red?
Answer: 0.214
Step-by-step explanation:
There are a total of 14 marbles in the bag, with only 3 being red. 3/14 converts to 0.214
Rearrange the following numbers in order from least to greatest.
2, -7, 3, -9, -14, -8, 0, -10, -25
will mark the best answer or 1st answered brainliest or whatever
Answer:
-25, -14, -10, -9, -8, -7, 0, 2
Step-by-step explanation:
You do thing and it work
help appreciated !!!!!
Answer:
38.43 sales tax, 597.43 total price
Step-by-step explanation:
559x.06875=38.43 sales tax
559+38.43=597.43 total price
the Angle opposite The OPP is
Answer:
Theta
Step-by-step explanation:
Indeed all angles of a triangle have a opposite side. And in trigonometry, the side opposite to theta is opposite side
Point M is located at 6,7).
y
9-
А
8+
7+
B В
6
5-
4-
3
2+
2
.
1
1
a
2 3 4
5
6
7
8 9
What is located 3 units from point M?
What are the coordinates of the point that is 2/5
of the way from A(-4,-2) to B(11,-2)?
Answer:
brainllest f right
a
Step-by-step explanation:
solve m-13=8 please help me
Answer: 5
Step-by-step explanation:
13-8=5
5-13=8
