Answer:
[tex](a)\ x = 0.4\ or\ (d)\ x = -2.7[/tex]
Step-by-step explanation:
Given
[tex]f(x) = -x^2 - 2x +6[/tex]
[tex]g(x) = 2x^2 + 5x + 3[/tex]
Required
Find x if [tex]f(x) = g(x)[/tex]
The above implies that:
[tex]-x^2 -2x +6 = 2x^2 + 5x +3[/tex]
Collect like terms
[tex]2x^2 + x^2 + 5x + 2x + 3 - 6 = 0[/tex]
[tex]3x^2 + 7x - 3 = 0[/tex]
Using quadratic formula, we have;
[tex]x = \frac{-b \± \sqrt{b^2 - 4ac}}{2a}[/tex]
Where
[tex]a=3; b=7; c=-3[/tex]
[tex]x = \frac{-7 \± \sqrt{7^2 - 4*3*-3}}{2*3}[/tex]
[tex]x = \frac{-7 \± \sqrt{49+ 36}}{6}[/tex]
[tex]x = \frac{-7 \± \sqrt{85}}{6}[/tex]
[tex]x = \frac{-7 \± 9.22}{6}[/tex]
Split
[tex]x = \frac{-7 + 9.22}{6}\ or\ x = \frac{-7 - 9.22}{6}[/tex]
[tex]x = \frac{2.22}{6}\ or\ x = \frac{-16.22}{6}[/tex]
[tex]x = 0.4\ or\ x = -2.7[/tex] --- approximated
How do I do this? Don’t know what to do with the 50
Answer:
I think it resembles the space of the primmer if that makes sense but basically I don't think you have to mind it. I think you can just regard it
Step-by-step explanation:
Answer:
70
Step-by-step explanation:
180 -60 -65 = 55
180 - 55 -50 = 75
180 - 75 - 35 = 70
Select all the true statements.
1+1=0
5+ (-5) = 0
3 + 0 = 0
-2+2=0
4 + (-4) = 1
6 + 0 = 1
Answer:
-2+2=0
4+-4=0
are true statement
Carly missed 22.5% of the questions on
the last test, and the rest of the questions
were correct. She had 31 questions
correct. How many questions were on the
test?
Answer:
40 questions
[tex]correct \: questions = (100 - 22.5)\% \\ = 77.5\% \\ let \: total \: questions \: be \: x \\ = > 77.5\% \times x = 31 \\ \frac{77.5}{100} \times x = 31 \\ 77.5x = 3100 \\ x = 40 \\ = 40 \: questions[/tex]
URGENT PLEASE HELP ME
Answer:
35x + 34
Step-by-step explanation:
64 - 33 + 3 = 34
21x + 14x = 35x
35x + 34
#2 Identify the number of TERMS and DEGREE of the polynomial. *
5x4 + 12
Answer:
Step-by-step explanation:
number of terms=2
degree=4
is this a linear relation 2x+2y=8
Answer:
Yes,
Step-by-step explanation:
Because it has a line plot for its base, each relation has its own base in equal to its equation.
I will give brainliest
Answer:
1. Isosceles Acute Triangle
2. Scalene Right Triangle
3. Isosceles Obtuse Triangle
There is a rope running from the top of a flag pole to a hook in the ground the pole is 6m high and the hook is 8m from its base how long is the rope
Help me find the coordinates and it’s a translation and reflection . Please help me!
Answer:
Download photo math and Socratic
Step-by-step explanation: it works
find the value of 365¹
Answer:
73
Step-by-step explanation:
sorry if im wrong
What is the value of cosine theta in the diagram below?
A unit circle is shown. A radius with length of 1 forms angle theta in the first quadrant. The radius goes to point (0.6, 0.8) on the unit circle.
Three-fifths
Three-fourths
Four-fifths
Four-thirds
Answer:
A: Three-fifths
Step-by-step explanation:
I have attached an image to depict this question.
We can see that the point at which the radius goes on the unit circle is a coordinate (x, y)
We are told this coordinate is (0.6, 0.8)
Now, in these type of unit circle diagrams;
x = cos θ and y = sin θ.
Thus;
cos θ = 0.6
cos θ = 6/10
Simplifying gives;
cos θ = 3/5
Answer:
A. 3/5
Step-by-step explanation:
cause i know
The number of hours you study for an exam impacts your grade. What is a reasonable value of the range
a.2.16
b.2/3
c.-15
d.80
Answer: 80
Step-by-step explanation:
Answer:
b.2/3
Step-by-step explanation:
I think this would be the most reasonable.
What is the approximate volume of the cylinder? Use 3.14 for
Step-by-step explanation:
it's 452.16 because it's the closest estimate
Find x/5 = 30.4
What is x?
Answer:
x = 150
Step-by-step explanation:
Answer:
x=152
Step-by-step explanation:
x/5=30.4
x=30.4 x 5
x=152
If this helps please mark as brainliest
Shade the 10 x 10 grid below to represent 42%.
Answer:
Ok so you shade in 42 of the squares in the grid. That would mean there would be 68% unshaded.
Step-by-step explanation:
What would the radius of the circle be if the diameter is 20ft?
Answer:
The radius is 10
Step-by-step explanation:
Answer:
Radius: 10ft
Step-by-step explanation:
The radius is half of the diameter.
Which is the same as moving the decimal point 3 places to the right in a
decimal number?
Multiplying the number by 1,000
help get brainliest asap
Answer: x =67
Step-by-step explanation:
The equation to solve this is (x - 22) + 135 = 180
1) To solve for x, you must remove the parenthesis
x - 22 + 135 = 180
2) Simplify the equation...
x - 113 = 180
3) Simplify the equation
180-113 = x
3) Subtract to solve
180 - 113 = x
x = 67
Answer :
As shown in the figure the angles x - 22 and 135 lie on a straight line . So we may solve it using linear pair property that states that the sum of angles lying on a straight line is 180° .
( x - 22 ) + 135 = 180°Remove the brackets x - 22 + 135 = 180Subtract 22 from 135 and as 135 is is greater than 22 the sign will be positivex + 113 = 180Subtract 113 from both the sides x = 180 - 113x = 67°Thus the correct answer is option d that is x = 67
what is an integer function?
Answer:
The INTEGER function returns an integer representation of a number or character string in the form of an integer constant.
Step-by-step explanation:
Shannon is making a rocket by folding a paper. She needs a piece of paper with a area of 84 square inches.Shannon has a piece of paper with a length of 14 inches. She will trim the paper to make it the correct width. What will the width of the paper need to be
Answer:
the 42 width of the paper need
What is the median for the boys plot?
Answer:
4
Step-by-step explanation:
first you put the numbers in order from least to greatest
1,1,1,1,2,2,2,4,12,13,15,15,15,16,16
next find the middle number(s)
1,1,1,1,2,2,2,4,12,13,15,15,15,16,16
the middle number is your median
*if you have 2 middle numbers just add the then divide it by 2 to find the median
brainliest gets 25 points
This chart represents different workplaces. Circles A, B, and C are particular to certain career pathways and D represents a typical workplace for all three pathways.
Which best completes Circles A, B, C, and D?
Logistics and Distribution is the career of Circle A, M arketing Information Management is the career of Circle B, Marketing Communications is the career of Circle C, and Circle D is "an office".
Logistics and Distribution is the career of Circle A, Buying and Merchandising is the career of Circle B, Professional Sales is the career of Circle C, and Circle D is "an office."
Buying and Merchandising is the career of Circle A, Marketing Communications is the career of Circle B, Professional Sales is the career of Circle C, and Circle D is "work in a restaurant."
Buying and Merchandising is the career of Circle A, Entrepreneurship is the career of Circle B, Logistics and Distribution is the career of Circle C, and Circle D is "work in a restaurant".
Answer:
A, Marketing Communications is the career of Circle B, Professional Sales is the career of Circle C, and Circle D is "work in a restaurant."
There are 50 deer in a particular
forest. The population is increasing
at a rate of 15% per year. Write an
exponential growth function that
represents the number y of deer in
that forest after x months. Round
to the nearest thousandth.
answered
There are 50 deer in a particular forest. The population is increasing at a rate of 15% per year. Which exponential growth function represents
the number of deer y in that forest after x months? Round to the nearest thousandth.
1
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Answer:
The expression that represents the number of deer in the forest is
y(x) = 50*(1.013)^x
Step-by-step explanation:
Assuming that the number of deer is "y" and the number of months is "x", then after the first month the number of deer is:
y(1) = 50*(1+ 0.15/12) = 50*(1.0125) = 50.625
y(2) = y(1)*(1.0125) = y(0)*(1.0125)² =51.258
y(3) = y(2)*(1.0125) = y(0)*(1.0125)³ = 51.898
This keeps going as the time goes on, so we can model this growth with the equation:
y(x) = 50*(1 - 0.15/12)^(x)
y(x) = 50*(1.013)^x
The exponential growth function that represents the number y of deer in that forest after x months is 50 × [tex](1.013)^{x}[/tex].
What is exponential growth function?An exponential function is a nonlinear function that has the form of
y=[tex]ab^{x}[/tex],wherea≠0,b>0. An exponential function with a > 0 and b > 1, like the one above, represents an exponential growth and the graph of an exponential growth function rises from left to right.
There are 50 deer in a particular forest.
The population is increasing at a rate of 15% per year.
Assuming that the number of deer is 'y' and the number of month is 'x' then after the first month the number of deer is
y(x) = 50 × [tex]1+(\frac{0.15}{12} )[/tex]
= 50 × 1.0125
= 50.625
y(2) = y(1) × (1.0125)
= y(0) × [tex](1.0125)^{2}[/tex]
= 51.258
y(3) = y(2) × (1.0125)
= y(0) × [tex](1.0125)^{2}[/tex]
= 51.898
y(x) = 50 × [tex](1-\frac{0.15}{12} )^{x}[/tex]
= 50 × [tex](1.013)^{x}[/tex]
Hence, the exponential growth function that represents the number y of deer in that forest after x months is 50 × [tex](1.013)^{x}[/tex].
Find out more information about exponential growth function here
https://brainly.com/question/11487261
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Guys i need these answers badly so i would appreciate if someone responded
Thanks !
Answer:
Y is the midpoint of XZ, so XY = YZ
20x - 30 = 12x + 1020x - 12x = 10 + 308x = 40x = 5Find XZ:
XZ = 2(XY) = 2(20*5 - 30) = 140The answer is:
x = 5 and XZ = 140------------------------
B is the midpoint of AC, so AB = BC
4x + 3 = 2x + 154x - 2x = 15 - 32x = 12x = 6Find AC:
AC = 2(AB) = 2(4*6 + 3) = 54The answer is:
x = 6, AC = 54I WILL GIVE BRAINLIEST IF YOU ANSWER IN THE COMMENTS!!!!!!
Answer:
Wednesday
Explanation:
Heidy jogged 1/4 miles on Tuesday (shown in blue in the image). Then on Wednesday she jogged 3/4 miles (shown in red in the image). 3/4 miles is closer to Finger Bay than 1/4 miles.
The measures of two angles of a triangle are given below. Find the measure of the third angle of the triangle in decimal form.
22.8°, 65.3°
Answer:
22.8°+65.3=88.1
180-88.1=91.9
M+7.9=39 1/2 I need help with this
Answer:
M would equal 31.6
Hope this helps!
Brainliest??
Answer: The answer is 1/5
Step-by-step explanation:
an intercepted arc is the arc that lies between the ___ of an inscribed angle
an intercepted arc is the arc that lies between the _two lines__ of an inscribed angle
‼️ILL MARK YOU BRAINLEST IF YOU RESPOND HELP PLS‼️
1) 38.465 π
2) 38.5 π
3) 12.25 π
4) 3.5 π
Answer: 12.25π
Step-by-step explanation:
A= πr²
π3.5²
=π*12.25
Can somebody help me
Answer:
22x
Step-by-step explanation:
Step-by-step explanation:
13) x = 17sin(59°)
x = 14.57
14) x = 17sin(60°)
x = 14.72