Answer and Step-by-step explanation:
First, we plug in the value of 3 for x in g(x), then we plug the answer os g(x) into the value of x in f(x).
g(3) = 2(3) - 7
Multiply 2 by 3, then subtract 7.
g(3) = 6 - 7
g(3) = -1
Now, we plug -1 for x in f(x).
f(g(3)) = f(-1) = -1 + 1
f(-1) = 0
The value of f(g(3)) is 0.
#teamtrees #PAW (Plant And Water)
The graph of a 4th-degree polynomial is shown. How many real zeros does this function have?
A. 1
B. 2.
C. 3
D. 4
Answer:
C: 3
Step-by-step explanation:
The graph touches or crosses the x-axis in 3 places; thus, there are 3 real zeros.
Consider the system of quadratic equations
y = 3x^2 - 5x,
y = 2x^2 - x - c,
where c is a real number.
(a) For what value(s) of c will the system have exactly one solution (x,y)?
(b) For what value(s) of c will the system have more than one real solution?
(c) For what value(s) of c will the system have no real solutions?
Solutions to the quadratics are (x,y) pairs. Your answers will be in terms of c, but make sure you address both x and y for each part.
9514 1404 393
Answer:
(a) c = 4
(b) c < 4
(c) c > 4
Step-by-step explanation:
(a) The solutions to the system of equations can be found by substituting one expression for y into the other equation:
3x^2 -5x = 2x^2 -x -c
x^2 -4x +c = 0 . . . . . . . subtract the right side expression
The discriminant is
d = b^2-4ac = (4)^2 -4(1)(c) = 16-4c.
The system will have exactly one solution when d = 0.
16 -4c = 0
4 -c = 0
__
(b) There will be more than one real solution when d > 0
4 -c > 0
c < 4 . . . . two real solutions
__
(c) There will be no real solutions when d < 0.
4 -c < 0
c > 4 . . . . no real solutions
_____
Additional comment
The question posed here simply asks for a value of c. It does not ask for the solutions (x, y). We can count them without knowing exactly what they are.
(b) Rewrite the percentage in the sentence below as a decimal.
The photographer filled 40% of her memory card with animal pictures.
A trapezoid with a height of 19 meters has a base of 26 meters and another base of 46 meters. What is the area of the trapezoid?
the area of the trapezoid is
A 342m2 B 598m2 C 684 m2D 1,368m2
Answer:684
Step-by-step explanation:
A= 1/2 h (b1+b2)
A= 1/2 19 (46+26)
A= 9.5 (72)
A=684
Instructions: Use the ratio of a 30-60-90 triangle to solve for the variables. Make sure to simplify radicals. Leave your answers as radicals in simplest form.
david invest $10,000 in a CD that pays 8% compounded quarterly. how long will it take his investment to double
Answer:
Step-by-step explanation:
1. Write a equation
[tex]10,000(1+\frac{0.08}{4})^4^x[/tex]
2. plug in 20,000 to y
[tex]20,000=10,000(1+\frac{0.08}{4})^4^x[/tex]
3. Solve
Suppose you buy a $10,000 bond at face value. The bond pays $450 annual interest. What is the yield on this bond? (Calculate to one decimal place)
HELP ASAP
Answer:
Yield on this bond = 4.5%
Step-by-step explanation:
Given:
Face value of bond = $10,000
Annual interest receives from bond = $450
Find:
Yield on this bond
Computation:
Yield on bond = [Annual interest / Face value]100
Yield on this bond = [Annual interest receives from bond / Face value of bond]100
Yield on this bond = [450 / 10,000]100
Yield on this bond = [0.045]100
Yield on this bond = 4.5%
What are all the values of x that make the quadratic A
equation below true?
x² – 16=0
One coin is flipped six times. What is the probability of flipping two heads and four tails?
Answer:
1/6 x 1/6 = 1/36
1/36 is our probability of getting two heads and four tails.
What is the volume of this solid figure made with cubes?
Answer:
15 cubic units
Step-by-step explanation:
Use multiplication (V = l x w x h) to find the volume of a solid figure.
3*5=15
HELP PLEASE ONCE MORE
Answer:
40 cubic units
Step-by-step explanation:
16x 3 = 48
48- 8 is 40
The table shows the height of a softball that Hallie threw in the air. Is the relationship shown linear? Why or why not?
••no links just answers••
I know it's not linear but I dont know why.
Answer:
Not a linear relationship
Step-by-step explanation:
Given
The attached table
Required
Linear or not
To do this, we simply calculate the slope of the table at different intervals.
Slope (m) is calculated as:
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Let:
[tex](x_1,y_1) = (0,0)[/tex]
[tex](x_2,y_2) = (0.5,7.2)[/tex]
So, the slope is:
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{7.2 - 0}{0.5-0}[/tex]
[tex]m = \frac{7.2}{0.5}[/tex]
[tex]m = 14.4[/tex]
Let:
Let:
[tex](x_1,y_1) = (1,10.7)[/tex]
[tex](x_2,y_2) = (2,12.2)[/tex]
So, the slope is:
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{12.2 - 10.7}{2 - 1}[/tex]
[tex]m = \frac{1.5}{1}[/tex]
[tex]m = 1.5\\[/tex]
See that the calculated slopes are not equal.
Hence, it is not linear
Find the measure of minor arc KL.
(x - 1)
G
H (5x + 7)04
Answer:
m(minor arc KL) = 153°
Step-by-step explanation:
"Measure of intercepted arcs between two diameters are equal in measure"
By this property,
m(JK) = m(HL)
(7x - 1)° = (5x + 7)°
7x - 5x = 7 + 1
2x = 8
x = 4
Therefore, m(arc HL) = (5x + 7)
= 5(4) + 7
= 27°
Now measure of minor arc KL = m(arc KH) - m(arc HL)
= 180° - 27°
= 153°
Therefore, measure of minor arc KL is 153°
The data below are the gestation periods, in months, of randomly selected animals and their corresponding life spans, in years. Use the regression equation to predict the life span, y, for a gestation period of 6 months, x. Assume the variables x and y have a significant correlation. Gestation, x 8 2.1 1.3 1 11.5 5.3 3.8 24.3 Life span, y 30 12 6 3 25 12 10 40
Answer:
For a gestation period of 6 months, the life span is 15.
Step-by-step explanation:
Gestation(months) x 8 2.1 1.3 1 11.5 5.3 3.8 24.3
Life span (years) y 30 12 6 3 25 12 10 40
y =? x= 6 months
Assuming the variables x and y have a significant correlation
Graphing the data on a spreadsheet
Using the linear equation obtained
y = 1.5229*x + 6.3425
x=6
y = 1.5229*6 + 6.3425
y = 15. 5
Find the missing dimension of the triangle. A triangle with base labeled b, height labeled 6 feet, and height labeled 14 square feet.
Answer:
4.67 feet
Step-by-step explanation:
The computation of missing dimension of the triangle is given below:
As we know that
Area of the triangle = 1 ÷ 2 × base × height
14 = 1 ÷ 2 × base × 6
14 = 3 × base
So, the base is
= 14 ÷ 3
= 4.67 feet
Here we assume the area to be 14 square feet
Answer:
4⅔ or 4.67 feet
Step-by-step explanation:
Area of a triangle is ½bh
½×b×6=14
3b=14
14÷3=4⅔
Find the surface area of the following triangular pyrarnid using the net.
Each triangle is congruent, with a base of 7 ftand a height of 6ft.
Answer:
B 84 is our answer
Step-by-step explanation:
triangle formula for surface area is base x height divided by 2 so 7 x 6 = 42 42 ÷ 2 = 21 All the other triangles are going to be the same so 21 x 4 = 84 so 84 is our surface area
Helppppppp mmemeeeeme plzzzz
Hope this helps you solve your math problem.
Help Please!!!!!!!!!!
Answer:
[tex]y\leq 3x-2[/tex]
Step-by-step explanation:
I don’t know what 2⁄3 × 1⁄8 × 5⁄9 =
Answer:
5/108
hope this helps
have a good day :)
Step-by-step explanation:
Answer:
5/108
Step-by-step explanation:
2/3 * 1/8 is 2/24
^2/24 can be simplified to 1/12
^ 5/9 * 1/12 is 5/108.
Therefore,
Your answer is 5/108 , if I understood the question correctly.
Plz show work,... need help fast please
Step-by-step explanation:
For 18:
[tex] {10}^{2} + {y}^{2} = {26}^{2} \\ 100 + {y}^{2} = 676 \\ {y}^{2} = 676 - 100 \\ {y}^{2} = 576 \\ y = \sqrt{576} \\ y = 24 \: in[/tex]
For 19
[tex] {10}^{2} + {( \frac{15}{2}) }^{2} = {c}^{2} \\ 100 + \frac{225}{4} = {c}^{2} \\ \frac{625}{4} = {c}^{2} \\ c = \sqrt{ \frac{625}{4} } \\ c = \frac{25}{2} \\ c = 12.5 \: m[/tex]
(4x-1)2=11
whats the solution
Answer:
x = 13/8
Step-by-step explanation:
(4x−1)(2)=11
Simplify both sides of the equation.
(4x−1)(2)=11
(4x)(2)+(−1)(2)=11 (Distribute)
8x+−2=118x+−2=11
8x−2=11
Add 2 to both sides.
8x−2+2=11+2
8x=13
Divide both sides by 8.
8x/8 = 13/8
which brings you to the answer of
x = 13/8
(Note:If this was a little confusing,feel free to ask me any questions revolving around this topic)
14. Classify the figure below. Identify how many faces, vertices, and edges.
Answer:
5 faces
8 edges
5 vertices
An ecologist is examining whether the number of fish caught in a large river basin has changed since a fire burned some of the surrounding forested area and vegetation along the river. Data in the form of fishing reports was available for a five-year period before the fire. From a random sample of 195 fishing reports before the fire, the mean catch was 6.3 fish with a standard deviation of 1.6. In a random sample of 143 reports three years after the fire, the mean catch was 7.1 fish with a standard deviation of 2.1.
Which of the following represents the standard error of the difference in the mean number of fish caught before and after the fire?
Answer:
The standard error of the difference in the mean number of fish caught before and after the fire is 0.2153.
or
sqrt [ (1.6^2)/195 + (2.1^2)/143 ]
What value of x and y will make the polygon below a parallelogram?
Answer:
[tex]x = 4[/tex]
[tex]y =1[/tex]
Step-by-step explanation:
Given
The attached figure
Required
x and y
If the attached is a parallelogram, then:
Either segment of a diagonal are equal; So, we have:
[tex]3x = 12[/tex]
[tex]x + y = 5y[/tex]
In [tex]3x = 12[/tex]
Divide both sides by 3
[tex]x = \frac{12}{3}[/tex]
[tex]x = 4[/tex]
Substitute [tex]x = 4[/tex] in [tex]x + y = 5y[/tex]
[tex]4 + y = 5y[/tex]
Collect like terms
[tex]5y - y =4[/tex]
[tex]4y = 4[/tex]
Divide both sides by 4
[tex]y = \frac{4}{4}[/tex]
[tex]y =1[/tex]
Harold can solve 25 math problems in 40 minutes. At that rate, how many minutes will it take Harold to solve 60 math problems?
Please help me thank you
Answer:
19/24 option d is correct
A 6-sided die rolled twice. Let E be the event the first roll is a 5 and F the event "the second roll is a 5".
(a) Are the events E and F independent? |
Input Yes or No: Yes
(b) Find the probability of showing a 5 on both rolls. Write your answer as a reduced fraction.
Answer:
The values and 14 are plotted on the number line.
&
What is the approximate clifference in tenths between the two values?
1.1
Answer: 12.9
Step-by-step explanation:
A line of infinite extent whose points correspond to the real numbers according to their distance in a positive or negative direction from a point arbitrarily taken as zero. I hope this explain the answer better!
In the diagram below of triangle HJKHJK, LL is a midpoint of \overline{HJ}HJ and MM is a midpoint of \overline{JK}JK. If LM=71-9xLM=71−9x, and HK=23-xHK=23−x, what is the measure of LMLM?
Answer:
Step-by-step explanation:
Since J is the midpoint of HK, then HJ=JK and 3x+5=9x-3 solve for x
6x=8 x=8/6=4/3 so HJ=3x+5=3(4/3)+5=9 = JK HK=2(9)=18
the full segment HK is 18, each half of it is 9 =HJ=JK
PLEASEEEEE HELPP
Karen is having a party. She’ll have 2 tables fir every 6 guest
Answer:
i hate these questions lol her name do be karen sorry um you do multiplicaton for this question i hate aleks expesially thqat question i feel you bro
Step-by-step explanation:
Answer: it’s all in the explanation!
Step-by-step explanation:
So, in the question, it states that she’s gunna have two tables for every six guests. You’re gonna need to find out how much people are going to be at ONE table, so two divided by six! And as you know, that equals three. For the first space, since it’s a odd number, you need to use the three instead of six since there’s gunna be one table by itself. So three times 5. The first space is gunna be 15 :). The second space is somewhat the same process. What times three equals 21? Seven! So for the second space, you’re gunna pit seven. For the third one, you do 8 times three, which equals 24. And for the last space, it’s 10, for three times ten :), hoped this helped!