Answers
Answer:
[tex]g(-3)=42[/tex]
Step-by-step explanation:
Given:
[tex]g(x)=4x^2+6[/tex]
Let's substitute -3 for [tex]x[/tex]
[tex]g(-3)=4(-3)^2+6[/tex]
Now, let's solve
[tex]g(-3)=4(9)+6[/tex]
[tex]g(-3)=36+6[/tex]
[tex]g(-3)=42[/tex]
Hope this helps
(Not sure how your program would write the answer)
Basically what you do is input -3 into wherever there is an x. So the equation would become 4(-3)^2+6 which equals 42
Related Questions
which graph is a function of x?
Answers
Answer:the one to the left
Step-by-step explanation:
Miguel and Jacqui built towers out of craft sticks.Miguel's tower had a 4-inch base.Jaquis tower had a 6-inch base.Miguels tower had a volume of 128 cubic inches and jaquis had a volume of 288.Who's tower was taller
Answers
Answer:
Height is same for both the towers
Step-by-step explanation:
The computation is as follows;
For 1st tower
The height is
= 128 ÷ 4^2
= 8 inches
And,
For the 2nd tower
The height is
= 288 ÷ 6^2
= 8 inches
So as we can see that the height of the both the tower is same i.e. 8 inches so the same should be considered
Which value of a,b, and c correctly represent the answer in simplest form?
Answers
Answer:
A
Step-by-step explanation:
first, you turn 3 1/2 into 3 2/4'ths and change 3 two fourth's into 14/4 fraction.
next, you change 2 one fourth into 9/4th's fraction
your equation would be 14/4 divided by 9/4th's = a times b/c
when you used divide, you get get flip one of the fractions being divided, and it could turn into 14/4 TIMES 4 over 9 = a times b/c.
wait this area down here could be wrong:
when you get your equation, multiply them together and you get 56 over 36 equals a times b/c.
A times B /C is equal to 56/36 which can simple out to 28/18 which AGAIN simpled out to 14/9
C IS 9 BECAUSE IT IS THE DENOMINATOR
and because of that, A would be the answer.
an estate valued at $75 000 is divided among three daughters Natasha, Natalie and Nadia in the ratio 5:8:2 respectively. Calculate the amount each receives
Answers
Answer:
Natasha: $25000
Natalie: $40000
Nadia: $10000
Step-by-step explanation:
5 : 8 : 2
5 + 8 + 2 = 15
$75000 ÷ 15
$5000
$5000 × 5 = $25000
$5000 × 8 = $40000
$5000 × 2 = $10000
What is the slope given the two points?
(-3,12) & (4,5)
Answers
Answer:
-1
Step-by-step explanation:
(-3 , 12) & (4, 5)
Slope = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\[/tex]
[tex]= \frac{5 - 12}{4-[-3]}\\\\= \frac{-7}{4+3}\\\\=\frac{-7}{7}\\\\= -1[/tex]
Explanation:
Let, (-3,12) be (x1,y1) and (4,5) be (x2,y2)
We know that slope = (y2 - y1)/(x2 - x1)
So, slope of given two points = (5 - 12)/(4 - (-3))
= -7/(4+3)
= -7/7
= -1
Therefore, slope of given two points = -1
What is the answer to 4/5 of 30?
Answers
Answer:
24
Step-by-step explanation:
[4 / 5 ] * 30 = 24
Answer:
24
Step-by-step explanation:
To get the answer you have to multiply the 4/5 x 30 to get the answer
2
Use the Pythagorean Theorem (a + b² = c) to find the missing side length.
Answers
Answer:
21.4
Step-by-step explanation:
[tex]a^{2} + b^{2} = c^{2} \\13^{2} + 17^{2} = c^{2} \\169+ 289 = \sqrt{c^{2} } \\\sqrt{458} = \sqrt{c^{2} } \\21.4 = c[/tex]
[tex]\huge\bold{Given:}[/tex]
Length of the base "b" = 17 yd.
Length of the perpendicular "a" = 13 yd. [tex]\huge\bold{To\:find:}[/tex]
The length of the missing side, hypotenuse ("c").
[tex]\large\mathfrak{{\pmb{\underline{\orange{Solution}}{\orange{:}}}}}[/tex]
[tex]\boxed{C.\:21.4\:yd}[/tex] ✅
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
Using Pythagoras theorem, we have
[tex]({perpendicular})^{2} + ({base})^{2} = ({hypotenuse})^{2} \\ \\⇢( {13 \: yd})^{2} + ( {17 \: yd})^{2} = {c}^{2} \\ \\⇢ {c}^{2} = 169 \: {yd}^{2} + 289 \: {yd}^{2} \\ \\⇢c = \sqrt{458 \: {yd}^{2} } \\ \\⇢c = 21.40 \: yd[/tex]
[tex]\sf\blue{Therefore,\:the\:length\:of\:the\:missing\:side\:"c"\:is\:21.4\:yd.}[/tex]
[tex]\huge\bold{To\:verify :}[/tex]
[tex]( {13 \: yd})^{2} + ( {17 \: yd})^{2} = {21.4 \: {yd}^{2} }\\ \\ ⇝169 \: {yd}^{2} + 289 \: {yd}^{2} = 457.96 \: {yd}^{2} \\ \\⇝458 \: {yd}^{2} = \: 458\: {yd}^{2} \\\\⇝ L.H.S.=R. H. S[/tex]
Hence verified. ✔
[tex]\huge{\textbf{\textsf{{\orange{My}}{\blue{st}}{\pink{iq}}{\purple{ue}}{\red{35}}{\green{♡}}}}}[/tex]
The cost of a High Definition television now averages $700, but the cost is decreasing about 15% per year. In how many years will the cost be under $200?
Answers
Answer: 7.7 years
Step-by-step explanation:
Given
The cost of HD TV is $700 and it is decreasing at the rate of 15% per year
After one year it becomes
[tex]\Rightarrow 700-700\times 15\%\\\Rightarrow 700(1-0.15)[/tex]
after 2 year it becomes
[tex]\Rightarrow 700(1-0.15)-700(1-0.15)\times 15\%\\\Rightarrow 700(1-0.15)(1-0.15)\\\Rightarrow 700(1-0.15)^2[/tex]
Suppose, after x years it becomes $200
[tex]\Rightarrow 200=700(1-0.15)^x\\\\\Rightarrow \dfrac{2}{7}=0.85^x\\\\\text{Taking log both sides}\\\\\Rightarrow x=\dfrac{\ln (\frac{2}{7})}{\ln (0.85)}\\\\\Rightarrow x=7.7\ \text{years}[/tex]
Thus, it takes 7.7 years for the cost to come under $200.
Find the median for the following list of values:
1, 2, 4, 7
Answers
Answer:
3
Step-by-step explanation:
Since there are an even number of data points (there are 4 points), and since the data has already been written in ascending order, the median is the average of the middle two terms: (2 + 4)/2 = 3
Answer:
Median: 3
Step-by-step explanation:
Median: the number in the middle
1, 2, 4, 7
Median is between 2, 4
Therefore, the median is 3
Please help me solve my problem!!!
Answers
True
Hope this helps! :)
______________
On a coordinate plane, a line goes through points (negative 2, 1) and (0, negative 3). Y = negative StartFraction 2 Over 9 EndFraction x + 2.
Two separate linear functions are expressed by the graph and by the equation. Select all that apply.
The slope is negative for both functions.
The equation has a steeper slope than the line in the graph.
The slope of the line in the graph is -2.
The graph and the equation express an equivalent function
Answers
Answer:Using the formula for the area of the composite shape, Area of composite shape = Area of rectangle + area of the square. ⇒ Area of composite shape = 14+9 = 23 square inches.
Step-by-step explanation:
Answer:
Using the formula for the area of the composite shape, Area of composite shape = Area of rectangle + area of the square. ⇒ Area of composite shape = 14+9 = 23 square inches.
Step-by-step explanation:
got it right on the quiz!!!
slope = 4, point (3,-2) is on the line
Answers
Answer:
y = 4x + b
Step-by-step explanation:
We know that (3, -2) is on this line. So 3 = m(-2)+b.
This leaves us with two variables the slope (m) and the y intercept (b).
But wait a minute, the slope is given to us since it says slope = 4.
Our equation is now, 3 = 4(-2)+b
3 = -8 + b
b = 11.
Our final equation is now y = 4x + b.
(y,x) is a point on this line.
Hope this helped!
JoeLouis2
Darnell took a total of 14 pages of notes during 7 hours of class. After attending 8 hours of
class, how many total pages of notes will Darnell have in his notebook? Assume the
relationship is directly proportional.
pages
Answers
Answer:
16 pages
Step-by-step explanation:
1 hour= 2 pages written of notes
so 8 hours of notes = 8x2=16 pages
Which equation shows the point-slope form of the line that passes through (3, 2) and has a slope of 1/3
Answers
Answer:
y-y1=m(x-x1)
y-2=1/3(x-3)
y=1/3x+1
Worth 20 points Il will mark brainiest! :)
The picture is included too oh and the question is already in the picutre but just incase you cant see what it says it says this
In the diagram below lines, AB and CD are . sorry if the picture is a bit dark
Answers
A. Perpendicular!
Because they cross with a 90 degree angle :]
Answer: Perpendicular
Step-by-step explanation: Hope this helps
Can someone please help me find the measure of angle ABO?
Answers
Answer:
m<ABO = 22 deg
Step-by-step explanation:
A tangent intersects a circle at the point of tangency making a right angle with the radius drawn to that point. That means that <BAO is a right angle and measures 90 deg. That makes the other two angles of the triangle complementary with a sum of 90 deg.
m<O + m<B = 90
68 + m<B = 90
m<B = 22
Answer: m<ABO = 22 deg
Find the sum of the numbers. Express your answer in scientific notation.
(6.94 x 10-7)+(2.7x10-)
O 7.21x 10-
O 9.64 x 10-
O 7.21x10-2
O 9.64 x 10-7
Answers
Answer:
7.21 × 10⁻⁷
Step-by-step explanation:
(6.94 × 10⁻⁷) + (2.7 × 10⁻⁸) = 7.21 × 10⁻⁷
Find the missing side of the triangle. Round your answers to the nearest tenth if necessary.
15.3 m
10 m
24.6 m
22.4 m
Answers
Answer:
Solution given:
perpendicular[p]=x
base[b]=11.6m
hypotenuse[h]=19.2m
by using Pythagoras law
h²=p²+b²
19.2²-11.6²=x²
x=[tex]\sqrt{234.08}[/tex]
x=15.3m
option
a.
15.3 m
Answer:
15.3 m
Step-by-step explanation:
c refers to the longest side (hypotenuse) whereas a and b referes to the two other smaller sides of atriangle.
pythagoras theorem
a^2 + b^2 = c^2
11.6^2 + x^2 = 19.2^2
134.56 + x^2 = 368.64
x^2 = 368.64 - 134.56
x^2 = 234.08
x=[tex]\sqrt{234.08[/tex]
x=15.29
x=15.3 m
Jane and Tannic split the cost of buying a video game. The game costs$25, and the sales is 6% markup. How much do they each pay?
Answers
Given:
The cost of game = $25
Sales markup = 6%
To find:
How much do they each pay?
Solution:
The sales markup is 6% of the cost.
[tex]\text{Sales markup}=25\times \dfrac{6}{100}[/tex]
[tex]\text{Sales markup}=1.5[/tex]
Now, the total cost after sales markup is:
[tex]25+1.5=26.5[/tex]
Jane and Tannic split the cost of buying a video game. It means they divide the cost in two equal parts. So, the amount paid by each one is
[tex]\dfrac{26.5}{2}=13.25[/tex]
Therefore, Jane and Tannic will pay $13.25 each .
Find the volume.
I need this in now like ASAP 10 points
Answers
Answer:
0.48 m^3
Step-by-step explanation:
volume = length * breadth * height
=6m * 4m * 0.02m
=0.48 m^3
22. Jordan invests $1000 in an account that pays 7% interest compounded continuously. To the nearest cent, how much will be in the account at the end of 3 years? Use A = Pe! $1233.68
$4352.05
$6122.97
$8166 17
Answers
Answer:
The formula to find interest over time is I=PRK
so 210=1000*0.07*3
add 210 to 1000 and we get 1210 so idontknow now now the the answers make any since s0rry
Please help :( The picutre is right below worth 20 pionts and will mark brainliest :)
oh and the question is right in the picture too also with the rest
Answers
Answer:
perpendicular
Step-by-step explanation:
peripenducular looks like a plus sign. HOPE THIS HELPS!
Branliest...
can someone help please.
Answers
Answer:
if im not mistaken is d hope you get it right
Find the volume of the cylinder. Use 3.14 for π. Round to the nearest tenth.
Answers
Answer:
62.8 m^2
Step-by-step explanation:
The volume of a cylinder is given by
V = pi r^2 h where r is the radius and h is the height
V = (3.14) ( 2)^2 *5
V = 62.8 m^2
Answer:
V = 62.8 cm³
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightGeometry
Volume of a Cylinder Formula: V = πr²h
r is radiush is heightStep-by-step explanation:
Step 1: Define
Identify variables
r = 2 cm
h = 5 cm
Step 2: Find Volume
Substitute in variables [Volume of a Cylinder Formula]: V = (3.14)(2 cm)²(5 cm)Evaluate exponents: V = (3.14)(4 cm²)(5 cm)Multiply: V = (12.56 cm²)(5 cm)Multiply: V = 62.8 cm³A customer purchased 3 pairs of jeans (j) for $94.50. If each pair of
jeans costs the same amount, which equation could you use to find the
amount a single pair of jeans costs? *
Answers
Answer:
$31.50
Step-by-step explanation:
3j = $94.50
j = 94.50 / 3
j = $31.50
Yani buys 4 dozen flyers for $7.80. What is the unit rate?
Answers
Answer:
The unit rate is, $1.95
Step-by-step explanation:
7.80 ÷ 4= 1.95
So , unit rate is [tex]\frac{1}{1.95\\}[/tex]
On my other question I posted I forgot to add the attachment, but uh please help down below 3
Answers
Answer:
6 crayons more
Step-by-step explanation:
At Dante's party, each child gets 192/16 = 12 crayons each
At Maria's party, each child gets 234/13 = 18 crayons each.
Therefore, each child at Maria's party gets 18-12 = 6 crayons more each than at Dante's party.
Answer:
answer is 6
Step-by-step explanation:
each child at Dante's party receive 192÷ 16 crayons, which is 12
each child at Maria's party receive 234÷ 13 crayons, which is 18
Collins middle school's basketball team won 75% of their games if they lost the board games how many games did they win?
Answers
The phrase in the original question is:
....if they lost 12 games......
not
....if they lost board games......
Answer:
36 games won
Step-by-step explanation:
Given
[tex]\%Win = 75\%[/tex]
[tex]Lost = 12\ games[/tex]
Required
Number of games won
Give that: [tex]\%Win = 75\%[/tex]
The percentage loss is:
[tex]\%Loss = 100\% - \%Win[/tex]
So, we have:
[tex]\%Loss = 100\% - 75\%[/tex]
[tex]\%Loss = 25\%[/tex]
Calculate the number of games (n) using:
[tex]Lost = \%Loss * n[/tex]
[tex]12 = 25\% * n[/tex]
Make n the subject
[tex]n = \frac{12}{25\%}[/tex]
[tex]n = 48[/tex]
So, the games won is:
[tex]Win = n - Lost[/tex]
[tex]Win = 48 - 12[/tex]
[tex]Win = 36[/tex]
Line q has a slope of -8/9 , Another line r has the slope of 9/8.Are line q and line r parallel or perpendicular?
Answers
Answer:
perpendicular
Step-by-step explanation:
parallel => both lines have the same value of slope
perpendicular => the product of both slope values are -1
=> -8/9 x 9/8 = -1
If Line q has a slope of -8/9 , Another line r has the slope of 9/8.Then both lines are perpendicular but not parallel
What is Slope of Line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
Two lines are parallel when the slope of two lines is same, so 1 and r are not parallel.
Two lines are said to be perpendicular when the product of two slopes is minus 1.
Line q has a slope of -8/9
Let m₁=-8/9
r has the slope of 9/8
m₂=9/8
Now let us multiply m₁ and m₂
m₁ ×m₂
-8/9×9/8
-1
The product of slopes of q and r is -1. The lines are perpendicular.
Hence Line q and line r are perpendicular but not parallel.
To learn more on slope of line click:
https://brainly.com/question/14511992
#SPJ2
Work out the perimeter of this semicircle.
Take a to be 3.142
10 cm
Answers
Answer:
perimeter=1/2*2πr
Step-by-step explanation:
1/2*2*3.142*10
=31.42
