Answer:
Step-by-step explanation:
Slope of the given line = -7
parallel: slope = -7
perpendiculr: slope = -1/(-7) = 1/7
tHanks again everyone
Let's solve
[tex]\\ \rm\rightarrowtail x+2<-3[/tex]
[tex]\\ \rm\rightarrowtail x<-3-2[/tex]
[tex]\\ \rm\rightarrowtail x<-5[/tex]
So
there is a open dot present over -5Less than means left side onwardsOption B
help pleas Given that f(x)=x^2+3x−7, g(x)=3x+5, and h(x)=2x^2−4, find each of the following. Solve each of the problems showing work.
f(g(x))
h(g(x))
(h−f)(x)
(f+g)(x)
Answer:
check below!given functions:
[tex]\sf f(x)=x^2+3x-7[/tex]
[tex]\sf g(x)=3x+5[/tex]
[tex]\sf h(x)=2x^2-4[/tex]
solving steps:
(a)
[tex]\sf f(g(x))[/tex]
[tex]\sf \sf f(3x+5)[/tex]
[tex]\sf (3x+5)^2 + 3(3x+5)-7[/tex]
[tex]\sf 9x^2+30x+25+9x+15-7[/tex]
[tex]\sf 9x^2+39x+33[/tex]
(b)
[tex]\sf h(g(x))[/tex]
[tex]\sf h(3x+5)[/tex]
[tex]\sf 2(3x+5)^2-4[/tex]
[tex]\sf 18x^2+60x+50-4[/tex]
[tex]\sf 18x^2+60x+46[/tex]
(c)
[tex]\sf (h-f)(x)[/tex]
[tex]\sf 2x^2-4-(x^2+3x-7)[/tex]
[tex]\sf 2x^2-4-x^2-3x+7[/tex]
[tex]\sf x^2-3x+3[/tex]
(d)
[tex]\sf (f+g)(x)[/tex]
[tex]\sf x^2 + 3x -7 +3x+5[/tex]
[tex]\sf x^2+6x-2[/tex]
True or false 49 is a irrational number
Answer:
FalseStep-by-step explanation:
49 is a rational number.
Hope this helps:)
7. The graph was made to compare the costs of renting copy machines
from Ames Business Product to those from Beck's Office Supply. What
information is given by the point of intersection of the two lines? *
The information given by the point of intersection of the two lines is (d) the number of copies for which the total cost per month is the same for both companies
How to interpret the point of intersectionThe point of intersection is the equilibrium point of both companies.
This means that, the point represents where the number of copies and the total cost per month for both companies is equal
Hence, the information given by the point of intersection of the two lines is (d)
Read more about point of intersection at:
https://brainly.com/question/9109827
The lid of a box is 43 cm² an area the volume of the box is 420 cm3 what is the height of the box?
Answer: 9.77 cm
Step-by-step explanation:
The volume of the box is length x width x height (V = l*w*h). The area of the lid of the box is the length x width (A = l*w). So, to find the height, you can change the equation to volume / (length x width) = height (V/(l*w) = h). Divide the volume by the area (420/43), to get the answer of 9.77 cm.
Plz Plz answer this!!!!! You’ll get brainliest if ur right and ull get 15 points Plz plz plz plz plz plz plz plz plz plz plz plz plz plz plz
Answer:
the last one
Step-by-step explanation:
Given f(x)=6(1-x what is the value of f(-8)
Answer:The value of f(-8)=54
Step-by-step explanation:
you do the stuff in the parentheses first. When you subtract a negative number you actually add that number So it's 6 (1+8) 1+8=9. 6(9)=54
which describes the graph of y=-(x+1)^2-4? a. minimum at (-1,-4) b. maximum at (1,-4) c. maximum at (-1,-4) d. minimum at (1,-4)
Answer:
c. maximum at (-1,-4)
Step-by-step explanation:
just took a quiz
The graph has its maximum at (-1, -4).
y=-(x+1)^2-4
Maximum of the equation is to determine.
A cross section of the cone and represented by an equation y=4ax^2.
Here,
y=-(x+1)^2-4
While plotting the curve, the curve is maximum at (-1, -4) beside this point curve is decreasing.
Thus , the graph has its maximum at (-1, -4).
Learn more about parabola here:
brainly.com/question/4074088
#SPJ2
Chris bought 39 items at a yard sale for $9.75 each. About how much did he spend in all? (Use estimation)
Answer:
$390
Step-by-step explanation:
If you are going to estimate, you should round to the nearest one (for a whole number answer), so we would round $9.75 to $10.
39*$10 = 390
Estimate: $390
Exact answer: $380.25
(if you need it)
10. Solve for x. Round to the nearest degree.
Answer:
x = 28°
Given:
opposite: 15hypotenuse: 32using sine rule:
[tex]\hookrightarrow \sf sin(x) = \dfrac{opposite}{hypotenuse}[/tex]
[tex]\hookrightarrow \sf sin(x) = \dfrac{15}{32}[/tex]
[tex]\hookrightarrow \sf x = sin^{-1}(\dfrac{15}{32})[/tex]
[tex]\hookrightarrow \sf x = 28^{\circ \:}[/tex]
[tex]\\ \rm\Rrightarrow sinX=\dfrac{Perpendicular}{Hypotenuse}[/tex]
[tex]\\ \rm\Rrightarrow sinX=\dfrac{15}{32}[/tex]
[tex]\\ \rm\Rrightarrow sinX=0.47[/tex]
[tex]\\ \rm\Rrightarrow X=sin^{-1}(0.47)[/tex]
[tex]\\ \rm\Rrightarrow X=28.03[/tex]
1
9. Adam had 183 pieces of gum. He gave of the pieces to his sister. How many
3
pieces of gum does Adam have left?
Hi!
Your answer will be: 180.Reason being: 183-3=180. Also, 180+3=183.
Hope this helps!
Yours Truly,
~~~PicklePoppers~~~Brainliest if correct
Answer:
[tex]\frac{5}{10}, \frac{4}{10}, \frac{1}{10}[/tex] are the numbers you need
Step-by-step explanation:
The least common denominator of those two numbers is 10.
[tex]\frac{1}{2} * \frac{5}{5} = \frac{5}{10} \\\\\frac{2}{5} * \frac{2}{2} = \frac{4}{10} \\\\\frac{5}{10} - \frac{4}{10} = \frac{1}{10}[/tex]
I hope this helps! Have a lovely day! :)
thanks again everyone
Answer:
5 gallons
conversion:
2 cups → 1 pint2 pints → 1 quart 4 quarts → 1 gallonwe have here total 80 cups.
2 cups → 1 pint80 cups → 40 pints
Then convert it into quartz
2 pints → 1 quart40 pints → 20 quartz
Then convert quartz into gallons
4 quarts → 1 gallon20 quartz → 5 gallons
Assessment Unit #1B
(FIF.2) Dora said that the mapping below does not represent a function because each value in the
domain is paired with the same value in the range. Explain the error in Dora's reasoning. (1 point)
6
-1
12
0.5
3
Answer:
i have no idea i think its 0.5 or 12
Step-by-step explanation:
Subtracting a number is the same as adding it’s opposite. Use the his understanding to complete each of the equations below.
Do you have the problems that need completing?
HELP PLEASE !!!!!!!!!!!
[] The equation on the left, 292 [tex]\frac{1}{2}[/tex] = 18 * 6 [tex]\frac{1}{2}[/tex] * h
-> Volume is length times width times height. When we plug in all the values we have to solve for h (height) we get this equation.
[] The height is 2.5 inches
-> We will solve the equation above.
-> Multiply 18 by 6 and a half = 117
-> Divide 292 and a half by 117 = 2.5
-> The height is 2.5 inches or 2 [tex]\frac{1}{2}[/tex]inches
292 [tex]\frac{1}{2}[/tex] = 18 * 6 [tex]\frac{1}{2}[/tex] * h
292 [tex]\frac{1}{2}[/tex] = 117h
[tex]\frac{292 \frac{1}{2} }{117}[/tex]= [tex]\frac{117h}{117}[/tex]
2.5 = 1h
h = 2.5 inches
Evaluate -4|-4|.
0-8
8
16
-16
9514 1404 393
Answer:
-16
Step-by-step explanation:
The absolute value function gives the positive value of the argument, so this is ...
-4|-4| = -4·4 = -16
Animals help ⚠️BLANK⚠️ flowers when eating it and depositing the seeds in a different area?
FILL IN THE BLANK PLEASE
Answer:
Animals help pollinate flowers by eating them and depositing the seeds in different areas.
Josiah wants to ride his bicycle 42.5 miles this week. He has already ridden 18 miles.
If he rides for 5 more days, what is the average number of miles he would have to ride
each day to meet his goal?
Hello there! Allow me to help you!
|| ▼ Answer ▼ ||
4.9 miles
|| ✪ Solution ✪ ||
Step 1:
In this question, we are given the following:
Josiah wants to ride his bicycle 42.5 miles this week.
He has already ridden 18 miles. If he rides for 5 more days,
what is the average number of miles he would have to ride each day to meet his goal?
Step 2:
The details of the solution are as follows:
Total distance = 42. 5 miles
Distance ridden = 16 miles
Number of days left = 5 days
Let the number of miles that'll be ridden for each day be represented by x.
Hence, we have that,
[tex]5x+18=42.5[/tex]
[tex]5x=42.5-18[/tex]
[tex]5x=24.5[/tex]
Divide both sides by 5 we have that,
[tex]x=\frac{24.5}{5}[/tex]
[tex]x=4.9[/tex]
CONCLUSION:
The average number of miles he would have to ride each day to meet his goal = 4.9 miles
Hope this helps!
If you have any questions please ask.
The required average miles for him to ride for 5 days is 4.9 miles per day.
Given that,
Josiah wants to ride his bicycle 42.5 miles this week. He has already ridden 18 miles.
he rides for 5 more days, what is the average number of miles he would have to ride each day to meet his goal is to be determined
The average of the values is the ratio of the total sum of values to the number of values.
Here,
Josiah wants to ride his bicycle for a total of 42.5 miles,
he rides for 18 miles by now,
Remaining miles to ride = 42.5 - 18 = 24.5 miles
For 5 day is must ride for average = 24.5 / 5 = 4.9 miles per day.
Thus, the required average miles for him to ride for 5 days is 4.9 miles per day.
Learn more about average here:
brainly.com/question/24057012
#SPJ2
If 2 pints = 1 quart, how many pints are in a 26-quart container
Answer:
52 pints
Step-by-step explanation:
Given;
2 pints = 1 quart
To Find;
How many pints are in a 26-quart container
Solve;
Since 2 pints = 1 quart
Then the Formula = divide the volume value by 2
The equation for 2 pints = 1 quart is 2 ÷ x = 1
which x = 2.
Thus, the equation for 26 quart container = how many pints =
x ÷ 2 = 26
Divide/Multiply sides by 2
2x/2 = 26 * 2
Simplify
x = 52
Hence, there are 52 pints in a 26 quart container
~Learn with Lenvy~
Find the perimeter of a triangle with sides measuring 10 inches, 14 inches and 15 inches
Answer:
39
Step-by-step explanation:
Answer:
39 inches
Step-by-step explanation:
Perimeter is found by adding the sides of the object together.
10in. + 14in. + 15in. = 39in.
Hope this Helps! :)
Have any questions? Ask below in the comments and I will try my best to answer.
-SGO
You lose track of how many 2-point baskets and 3-point baskets a team makes in a basketball game. The team misses all the 1-point baskets and still scores 54 points. The equation 2x+3y=54$ models the total points scored, where x is the number of 2-point baskets made and y is the number of 3-point baskets made. a. Find and interpret the intercepts.
Answer:
x-intercept: 27, the number of 2-pointers if no 3-pointersy-intercept: 18, the number of 3-pointers if no 2-pointersStep-by-step explanation:
Each intercept is found by setting the other variable to zero and solving for the variable value of interest.
2x +3y = 54
x-intercept:
2x = 54
x = 27
y-intercept:
3y = 54
y = 18
__
By definition, the intercept values are the values that satisfy the equation when the other variable is zero.
x-intercept: To score 54 points, the team would have to make 27 2-point baskets if no 3-point baskets were made.
y-intercept: To score 54 points, the team would have to make 18 3-point baskets if no 2-point baskets were made.
Sally puts $200.00 in a bank account. Each year the account earns 8% simple interest. How much interest will be earned in three years? A $16.00 B $24.00 C $48.00 D $160.00
Answer:
D
Step-by-step explanation:
Are these two figures similar? Explain.
Answer
YES
Step-by-step explanation:
yes, because one of their sides are equivalent.
A home run is hit in such a way that the baseball just clears a wall 15.0 m high, located
152 m from home plate. The ball is hit at an angle of 34.0° to the horizontal, and air
resistance is negligible. Assume that the ball is hit at a height of 1.00 m above the
ground. Use significant figures in your final answer and show your work.
a. Find the initial speed of the ball. {8 Points}
Hang on I am figuring it out
can someone please explain? lol
Answer:
10.235 in²225 cm²Step-by-step explanation:
The area of a triangle is half the product of its base and height.
A = 1/2bh
a)A = 1/2(2.3 in)(8.9 in) = 10.235 in²
__
b)A = 1/2(15 cm)(30 cm) = 225 cm²
Please help asap! I will gave brainlest!
Step-by-step explanation:
[tex] \tan(x) \csc {}^{2} (x) - \tan(x) [/tex]
[tex] \tan(x) ( \csc {}^{2} (x) - 1)[/tex]
[tex] \tan(x) ( \cot {}^{2} (x) [/tex]
[tex] = \tan(x) \cot(x) \cot(x) [/tex]
[tex]1 \cot(x) [/tex]
[tex] = \cot(x) [/tex]
What is 0.801 in words?
Answer:
How to Write Out Number 0.801 in Words: eight hundred one thousandths in (US) American English, Number Converted (Spelled Out) to Words.
A bee population is measured each week and the
results are plotted on the graph. What is the bee
population when it is first measured?
Answer:
500 bees
Step-by-step explanation:
The initial value is the y-intercept, where a point crosses the y-axis when x=0.
(0, x) = (0, 500)
Hope this makes sense :]
There are 500 bees in the population when it is first measured.
What is an exponential function?An exponential function is defined as a function whose value is a constant raised to the power of an argument is called an exponential function.
It is a relation of the form y = aˣ in mathematics, where x is the independent variable
Every week, a bee population is counted, and the findings are illustrated on the given graph.
According to the given graph, the initial value is the y-intercept, where a point intersects the y-axis when x = 0.
(0, x) = (0, 500)
This means the bee population is 500 when it is first measured.
Learn more about exponential function here:
brainly.com/question/11487261
#SPJ2
Errors in the programming language Python can be broadly classified into two types, syntax errors, and logical errors. When writing a program the first time, the probability for syntax errors to arise is 0.3, that for logical errors is 0.5, and that for both errors to occur is 0.1.(a) Find the probability that no syntax errors occur.(b) Find the probability that no errors occur.(c) Find the probability that errors of any type occur.(d) The programmer found a syntax error in the code. What is the probability that there are also logical errors based on this finding?(e) Are the events of having syntax errors and logical errors independent? Also, explain why.
Answer:
Step-by-step explanation:
a( Pr(no syntax error) = 1-Pr(syntax error arises)
Pr(no syntax error) = 1 -0.3
Pr(no syntax error) = 0.7
b) Pr(no error occurred) = 1-Pr(both error occurred)
Pr(no error occurred) = 1-0.1
Pr(no error occurred) = 0.9
c) Pr(any type of error occurred) = Pr(syntax error occur)+Pr(logical)
Pr(any type of error occurred) = 0.5+0.3 = 0.8
d) Pr(syntax and logical) = Pr(syntax occur)+Pr(logical or syntax occur)
= 0.3+0.1
= 0.4
e) Independent event are events that occurs at the same time. The occurrence of one does not affect the other.
Pr(logical and syntax) = pr(syntax)×pr(logical)
Given
pr(syntax)×pr(logical) = 0.3×0.5 = 0.15
From the question, Pr(logical and syntax) = Pr(both error occurred) = 0.1
Since Pr(logical and syntax) ≠ pr(syntax)×pr(logical), this means that the errors are not independent