Answer:
g(x) = 5x² + 3
Step-by-step explanation:
8 units are added directly to each input so just subtract 5 from that to get + 3.
9.9 ft 7.2 ft The figure above shows a movie screen with dimensions shown in feet. What is the length of the diagonal of the screen, in feet? Give the exact solution or round your answer to the nearest tenth of a foot.
Answer:
12.2
Step-by-step explanation:
use the Pythagorean theorem to determine the diagonal
9.9^2 + 7.2^2 = d^2
d = 12.2
Find the missing coordinate (?, -1) for 3x -4y=11
Answer:
[tex]\frac{7}{3}[/tex]
Step-by-step explanation:
Substitute -1 in place of y in the equation:
[tex]3x -4(-1)=11\\3x=7\\x=\frac{7}{3}[/tex]
Answer:
(7/3, -1)
Step-by-step explanation:
3x -4y=11
Let y = -1
3x -4(-1) = 11
3x +4 =11
Subtract 4 from each side
3x+4-4 = 11-4
3x = 7
Divide each side by 3
3x/3 = 7/3
x = 7/3
WORTH 1 POINT
GIVING 15 POINTS AWAY
HELP PLS!!!!
Answer:
y = 29
Step-by-step explanation:
Since it is a vertical angle, both angles represented by the equations are equal. Meaning we can set them equal to each other and find y by simplifying.
4y-8 = 79+y
-79 -79
4y-87 = y
-4y -4y
-87 = -3y
Divided by -3
29 = y
What is the difference between the
fastest sprint and the slowest sprint?
Fastest sprint - 12 2/4
Slowest sprint - 10 1/4
Answer:
2 1/4
Step-by-step explanation:
To find the difference, we must subtract the smaller number from the bigger one. In this case, the equation is 12 2/4 - 10 1/4.
Let us set aside the fraction and subtract 10 from 12 first.
12 - 10 = 2
Therefore, the whole number of the difference will be 2.
Let's solve for the fraction now.
2/4 - 1/4 = 1/4
Therefore, the fraction in the answer will be 1/4.
Add 2 and 1/4 to get 2 1/4, which is the answer.
I hope this helps and please mark me as brainliest!
.......................................................
If a fair die is rolled 5 times, what is the probability, to the nearest thousandth, of getting exactly 3 ones?
Answer:
0.1317
Step-by-step explanation:
You are studying economic development in a small developing country. You do not have individual income data but you do have counts of how many people fall into various intervals such as 0-500, 501-1000, etc. You want a display that shows the shape of the income distribution. You should make a
A. Scatter plot
B. Pie chart
C. Bar chart
D. Histogram
HELP ASAP
In the diagram, m ZAFB = 78°
Which angle is supplementary to ZAFB and what is its measure?
Answer:
Angle AFE = 102(degree symbol)
Step-by-step explanation:
supplementary means two angles that add up to 180
hope this helps! :)
Answer:
The angle supplementary to ∠AFB is ∠EFA.
The reason why this is, is because a supplementary angle consists of two angles that have a sum of 180°.
Supplementary angles combine to form a straight line.
In this case, ∠EFA is the supplement of ∠AFB because, ∠EFA is the other part of the angle, AFB, that creates a full straight line(180°).
And to find the value of m∠EFA you would need to arrange an equation.
Since we know that the given angle measure of AFB is 78°, ∠EFA would have to equal a different measure so that both measures will have a sum of 180°.
We will consider the value of m∠EFA to be 'x' in our equation, so;
x + 78 = 180°
Solve for x:-
-78 -78
x = 102°, therefore m∠EFA = 102°.
explain in depth how 12 x √3/2 = 6√3 (GCSE MATHS)
Step-by-step explanation:
I hope this helps, you can ask any question for clarification
Rewrite each of the following expressions without using absolute value bars. |x-4| if x>4
we're given that x is greater than 4 (the symbol ">" indicates "greater than)
5 is greater than 4. Let's plug it in :
|5-4|
|1|
1 (remember, absolute value is always positive).
Now let's try 6 :
|6-4|
|2|
2
hope helpful ~
can somebody help me please
________________________________________________
Calculate[tex]Substitute\ x=4\ into\\ f(x)=7x^2+4x-6[/tex]
_________________________________________________
Substitute[tex]f(4)=7\times 4^2+4\times 4-6[/tex]
___________________________________________________
Calculate the power[tex]f(4)=7\times 16+4\times 4-6[/tex]
___________________________________________________
Calculate the product or quotient[tex]f(4)=112+4\times 4-6\\ f(4)=112+16-6[/tex]
___________________________________________________
Calculate the sum or difference[tex]f(4)=128-6\\ f(4)=122[/tex]
I hope this helps you
:)
I really need help thank you!
10 points
Step-by-step explanation:
sum of angles in ∆ = 180
48+6x-28+2x = 180
20+4x = 180
4x = 160
x = 40
b = 212
c = 80
Lois made a dish with 3 1/3 cups of pasta. One serving of the pasta is 0.4 cups. How many servings of pasta were in the dish Lois made?
Answer:
8 3/4
Step-by-step explanation:
because each serving is 04 cups all you need to do is divide 3 1/2 by 0.4.
first convert 3 1/2 into decimal which would be 3.5. then divide 3.5 by 0.4
3.5/0.4
=3.5x10/0.4x10
=35/4
=8 3/4
A circle has a donated of 4.5cm a larger circle has a diameter of 24cm what is the aporximent diffrent in the circumference of the two circles
Answer:
difference ≈ 61.3 cm
Step-by-step explanation:
the circumference (C) of a circle is calculated as
C = πd ( d is the diameter ) , then
difference = 24π - 4.5π = 19.5π ≈ 61.3 cm ( to 1 dec. place )
Brainliest! :)
The length of a rectangle is 1 ft more than twice the width, and the area of the rectangle is 45 ft^2. Find the dimensions of the rectangle.
Answer:
[tex]\\\text{Width} = \dfrac 92 ~ \text{ft}\\\\\text{Length} = 10~ \text{ft}[/tex]
Step by step explanation:
[tex]\text{Width} =x\\\\\text{Length}=2x+1\\\\~~~~~~~\text{Area} = 45~\text{ft}^2\\\\\implies x(2x+1) =45\\ \\\implies 2x^2+x = 45\\\\\implies 2x^2 +x-45=0\\\\\implies 2x^2+10x -9x -45 =0\\\\\implies 2x(x+5) -9(x+5)=0\\\\\implies (2x-9)(x+5) =0\\\\\implies x=\dfrac 92, ~~ x\neq -5\\\\\text{Hence,}\\\\\text{Width} = \dfrac 92 ~ \text{ft}\\\\\text{Length} = 2\cdot \dfrac 92 +1 = 10~ \text{ft}[/tex]
Answer:
Length 10 ft.
Width 4.5 ft.
Step-by-step explanation:
If the width is x ft then the length is 2x + 1 ft.
Area = width * length, so:
45 = x(2x + 1)
45 = 2x^2 + x
2x^2 + x - 45 = 0
2x^2 + 10x - 9x - 45 = 0
2x(x + 5) - 9(x + 5) = 0
(2x - 9)(x + 5) = 0
x = 4.5, -5.
So x = 4.5 ( as the width cannot be negative).
Therefore the dimenions of the rectangle are
width = 4.5 ft, length = 2(4.5) + 1 = 10 ft.
PLEASE HELP FAST I WILL GIVE BRAINLIEST!
Answer:
[D] 1/14
Step-by-step explanation:
Question to answer:
What is the probability of picking an orange marble and flipping tails?
Solve:
let see how many orange marbles are there:
As we can see there is 1 orange marble out of 7 total. The probability of picking an orange marble is 1/7.
Now let see how many side a coin have:
As we can see the probability of flipping tails is 1/2 because 1 side is tails out of 2 sides total.Now multiply straight across:
1/2 × 1/7
→ 1 × 1 = 1
→ 2 × 7 = 14
Thus, the result is 1/14
Hence, the answer is [D] 1/14
~lenvy~
Answer:
[tex]\sf D)\quad\dfrac{1}{14}[/tex]
Step-by-step explanation:
[tex]\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}[/tex]
[tex]\implies \sf P(\textsf{orange marble})=\dfrac{1}{7}[/tex]
[tex]\implies \sf P(\textsf{tails})=\dfrac{1}{2}[/tex]
[tex]\implies \sf P(\textsf{orange marble})\:AND\:P(\textsf{tails})=\dfrac{1}{7} \times \dfrac{1}{2}=\dfrac{1}{14}[/tex]
Find the area of this triangle if
C = 138°, a = 16, and b = 7.
A
B•
[? square
units
Round to the nearest tenth.
Enter
38.1 units^2
Step-by-step explanation:
you can use the formula: 1/2(ab)(sin c)
plug it in: 1/2(16*7)(sin 138)
simplify: 57sin138
plug it into your calculator: 38.1 (rounded)
If you found this answer helpful, I would appreciate if you gave me the brainliest award :D.
Answer:
37.5
Step-by-step explanation:
For acellus
Write an equation in slope-intercept form of the line shown.
An equation is
Answer:
y = - 1/2 x + 1
Step-by-step explanation:
Answer:
y = -1/2x + 1
Step-by-step explanation:
m, rise/run = (2 - 4)/(-2 + 6) = -2/4 = -1/2
b, y-intercept = (0, 1)
y = mx + b
y = -1/2x + 1
IM CONFUSED CAN SOMEBODY HELP ME SOLVE THE EQUATION
Answer:
y = - ½(x - 2)² + 3
Step-by-step explanation:
9. The area of a rectangle is 12x + 15. The
length of the rectangle is 6. What is the
width of the rectangle?
Answer:
oh that's hard lol just go to the lowest number and times it on a piece of paper
simplify 24.4 / 0.002
Answer:
12,200
Step-by-step explanation:
Find the slope of
the line
Gve your answer as
a fraction in simplest
form.
Answer:
slope = 1/2
Step-by-step explanation:
we rise 1 and run 2 which gives us y=1/2x
7<2x+3<=13 write solution in interval notation
Answer:
2<x<_5
Step-by-step explanation:
Work out
(4 x 10-6) - (2 x 10-8)
Give your answer in standard form.
Answer:
20x + 2
Step-by-step explanation:
Write the equation of the parabola in vertex form.
vertex (2,4), point (3,2)
Answer:
y=-3(x-2)^2+4
Step-by-step explanation:
The general equation for the data given is y = a(x-2)^2 + 4 based on the vertex information.
To find a, we use (3,1) to substitute. 1 = a(3-2)^2 + 4 or a = -3
So the full equation is y = -3(x-2)^2 + 4
Find the sum of the interior angle measures of a 14-gon.
The sum is___ degrees.
Step-by-step explanation:
the sum of interior angles in a triangle is 180°.
the sum of interior angles of a polygon, is the product of the number of triangles in the polygon (that can be created from a single vertex or corner via lines to all other corners) and 180°.
so, in reality, the number of triangles in each polygon is two less than the number of sides (because the lines to the 2 neighboring corners are sides and do not create triangles).
so the formula for the sum of all interior angles is
(n - 2) × 180
with n being the number of sides of the polygon.
in our case
(14 - 2) × 180 = 12×180 = 2160°
Debbie receives 25% commission on all sales. Her sales totalled $400. How much commission does she earn?
Answer:
$100
Step-by-step explanation:
Debbie's earnings are found by multiplying her commission rate by her sales:
0.25 × $400 = $100
Debbie earns $100 commission on her sales.
Use the graph of f(x) to evaluate the following: 2 1 x 1 IN 2 3 4 5 -1 - 1 6 The average rate of change of f from x = O to L = 2 is 2 Give your answer as an integer or reduced fraction.
no se cómo se hace está operación de verdad lo siento
find the volume of a cylinder with radius 5.7cm and height 10 cm, correct to 1 decimal place
[tex]\textit{volume of a cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=5.7\\ h=10 \end{cases}\implies \begin{array}{llll} V=\pi (5.7)^2(10)\implies V=324.9\pi \\\\\\ V\approx 1020.7 \end{array}[/tex]
You and your friend are standing on the baseline of a
basketball court. You bounce a basketball to your friend, as shown in the diagram. What is the
distance between you and your friend? Round your answer to the nearest tenth.
The distance between you and your friend rounded to the nearest tenth is 10.7 feet.
How to find the length of a triangle using cosine rule?The distance between you and your friend can be found using cosine rule.
Therefore,
c² =a² + b² - 2ab cos C
Therefore,
let
x = distance between him and his friend
x² = 7² + 6² - 2 × 7 × 6 cos 110°
x² = 49 + 36 - 84 × -0.34202014332
x² = 49 + 36 + 28.7296920394
x² = 113.729692039
x = √113.729692039
x = 10.6644124076
x = 10.7 ft
learn more on triangle here: https://brainly.com/question/2838446