This question is solved using range and domain concepts. Doing this, it is found that:
The domain is: {-15, -4, 3, 25, 32}The range is: {-29, -10, 17, 21, 23}--------------------------------------
Domain: In a data-set, the domain is composed by the input values.Range: In a data-set, the range is composed by the output values.--------------------------------------
In a set of ordered pairs, the first term in a pair represents the input and the second represents the output.In this set, the inputs are: -4, 25, -15, 32, 3The outputs are: 23, 17, -29, 21, -10Thus:
The domain is: {-15, -4, 3, 25, 32}The range is: {-29, -10, 17, 21, 23}A similar question is given at https://brainly.com/question/18141895
What are the roots of this equation x^2-4x+9=0?
Answer:
Roots is a fancy word for zero, which is also another fancy word for the x intercept.
You can factor a quad or use the quadratic equation to get zeros.
In this case, its non-factorable. So you gotta use the quadratic.
Using the quadratic equation you get : x = -2 ± √-1 (√5),
which can be rewritten as x = -2 ± i(√5)
Function was : x^2 + 4x + 9
For quad, I identified the following:
A = 1
B = 4
C = 9
I also added a picture of the formula in the attached.
Which of the following choices is a linear function?
O f(x) = x2 – 3x+ 2
O f(x) = 3x3 – 3x + 2
O f(x) = -3x + 2
Answer:
f (x) = x2 - 3x + 2
Step-by-step explanation:
Answer:
f(x)=-3x+2
Step-by-step explanation:
The first one is a quadtratic function because it is in quadtratic form.
The second one is also not linear because it looks like a squiggly line. Sorry I forgot what they are called but I know it is not linear.
That leaves the last one is is linear and should be going down because there is a negative in front of the coefficient. It also has so exponent to prove why it is linear even further.
Hope this helps!
The perimeter of a rectangular piece of plastic is 30 millimeters. The area is 54 square millimeters. What are the dimensions of the piece of plastic?
Answer:
6 mm and 9 mm are the dimensions of the piece of plastic.
Step-by-step explanation:
Keep in mind the formulas for the area and perimeter of a rectangle:
A = lw
P = 2 (l + w)
List the factors of 54:
1, 2, 3, 6, 9, 18, 27, 54
POSSIBLE DIMENSIONS of the piece of plastic:
1 mm and 54 mm:
Area - 54 mm^2
Perimeter - 110 mm
2 mm and 27 mm
Area - 54 mm^2
Perimeter - 58 mm
3 mm and 18 mm
Area - 54 mm^2
Perimeter - 42 mm
6 mm and 9 mm
Area - 54 mm^2
Perimeter - 30 mm
The rectangular piece of plastic with the dimensions 6mm and 9 mm corresponds with the area and perimeter of the piece of plastic mentioned. So these are the correct dimensions.
Hope this helps!
Find the circumference and the area of a circle with diameter equal to 8.6 inches. Use 3.14 for pi
Please answer it will mean a lot thanks
Answer: Circumference of circle = 27.004 inches
Area of circle = 58.0586 inches²
Step-by-step explanation:
Diameter of circle = 8.6 inches
Pi ([tex]\pi[/tex]) = 3.14
Circumference of circle (With diameter) = [tex]\pi \\[/tex]d ([tex]\pi[/tex]×diameter)
= 3.14 × 8.6
= 27.004 inches
Area of circle (With diameter) = [tex]\pi[/tex][tex]d^{2}[/tex]/4
= 3.14 × 8.6 × 8.6 / 4
= 3.14 × 73.96 / 4
= 58.0586 inches²
Each cat at the animal shelter gets
5/6 pound of food. Allie has 9 1/2
pounds of cat food. How many cats
can Allie feed?
A: 7
B:9
C: 11
D:13
Answer: C : 11
Step-by-step explanation:
find the missing side lengths
Answer:
[tex]x = \frac{2 \sqrt{3} }{3} [/tex]
[tex]y = 1[/tex]
Step-by-step explanation:
30, 60, 90 triangle
URGENT ! HELP ME I WILL MARK YOU BRAINLIEST !!!!
pleasee fasterrr !!!!
Answer:
3b (3a - 4b)
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
9ab - 12b² ← factor out 3b from each term
= 3b(3a - 4b) → C
Help solve for the area
Answer:
B
Step-by-step explanation:
half × base × height
height × length
Answer: B
Step-by-step explanation:
Triangle)
25 - 7 = 18
[tex]A=\frac{1}{2}(b)(h)\\A=\frac{1}{2}(18)(17)\\A=153cm^2[/tex]
Rectangle)
[tex]A=b(h)\\A=7(17) = 119cm^2[/tex]
Total)
[tex]153+119=272 cm^2[/tex]
slove for inequality of -6> t-(-13)
Step-by-step explanation:
-6>t-(-13)
= -6>t+13
= -6-13>t
= -19>t
= t<-19
Answer:
t < - 19
Step-by-step explanation:
Given
- 6 > t - (- 13) , that is
- 6 > t + 13 ( subtract 13 from both sides )
- 19 > t , then
t < - 19
if i traveled 35 miles on his bike in 3.5 hours what is his rate of speed? i rlly need help- m not sure how to do the steps or whatever
Answer:
hes going 10 miles an hour,
Step-by-step explanation:
if it took you 3.5 hrs and you went 35 miles, you can do 35/3.5=10, which is 10 miles an hour
Answer:
10 miles per hour
Step-by-step explanation:
We know that distance = rate * time
35 miles = rate * 3.5 hours
Divide each side by 3.5 hours
35 miles / 3.5 hours = rate
10 miles per hour = rate
Lines s and t are parallel and r is a transversal.
Which angles are congruent to 4?
a) 2, 5, 8
b) 3, 5, 7
c) 2, 6, 8
d) 3, 7, 2
Answer:
The angles that are congruent to 4 are: 3, 8, and 7.
3 and 4 are vertical angles, 8 and 3 are opposite interior angles, 8 and 7 are vertical angles.
Hope this helps!
Ms. Dawson’s call did a science experiment. The class started out with 650 bacteria cells. The growth rate predicted was 4.5%. Sketch the graph that represents the situation. Label the y-intercept and the point that represents the projected bacteria population 30 h from the start of the experiment. Round to the nearest whole number.
Answer:
your slope would be 4.5.... so go up 4 and to the right 5. the y-intercept is 650 so that is where your line would start instead of at 0... hope this helped :)
Step-by-step explanation:
The exponential function gotten from the table is given by y = 650(1.045)ˣ
Exponential functionAn exponential function is in the form:
y = abˣ
where y, x are variables, a is the initial value of y and b is the multipliers.
Let y represent the bacteria population after x hours.
The class started out with 650 bacteria cells.
a = 650Growth rate = 4.5%
b = 100% + 4.5% = 104.5% = 1.045The exponential function gotten from the table is given by y = 650(1.045)ˣ
After 30 hours:
y = 650(1.045)³⁰ = 2434Find out more on exponential function at: https://brainly.com/question/12940982
find the value of x. give reasons to justify your answer NEED HELP ASAP!!!!
Answer:
[tex]x = 34^\circ[/tex]
Step-by-step explanation:
Note that ∠TSU and ∠PSR are vertical angles. Hence:
[tex]m\angle TSU = m\angle PSR[/tex]
∠PSR is the sum of ∠PSQ and ∠QSR. Hence:
[tex]\displaystyle m\angle TSU = m\angle PSQ + m\angle QSR[/tex]
We know that ∠TSU measures 4x and ∠QSR measures 3x. Thus:
[tex](4x) = m\angle PSQ + (3x)[/tex]
Solve for ∠PSQ:
[tex]m\angle PSQ = x[/tex]
Next, ∠PQS and ∠RQS form a linear pair. Thus:
[tex]m\angle PQS + m\angle RQS = 180^\circ[/tex]
∠RQS measures 68°. Thus:
[tex]m\angle PQS +(68^\circ) = 180^\circ[/tex]
Solve for ∠PQS:
[tex]m\angle PQS = 112^\circ[/tex]
The interior angles of a triangle must total 180°. So, for ΔPQS:
[tex]\displaystyle m\angle SPQ + m\angle PQS + m\angle PSQ = 180^\circ[/tex]
Substitute in the known values:
[tex](x) + (112^\circ) + (x) = 180^\circ[/tex]
Simplify:
[tex]2x = 68^\circ[/tex]
And divide. Hence:
[tex]x = 34^\circ[/tex]
Please help explanation if possible
Answer:
y = 3x+6
Step-by-step explanation:
refer to the picture
Answer:
y = 3x + 6
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 3x + 2 ← is in slope- intercept form
with slope m = 3
Parallel lines have equal slopes, so slope of parallel line is 3
Expressing the equation in point- slope form with m = 3 , (x₁, y₁ ) = (1, 9)
y - 9 = 3(x - 1)
y - 9 = 3x - 3 ( add 9 to both sides )
y = 3x + 6 ← in slope- intercept form
Help mee whats the answerr :( Q: The midpoint of the line segment with the coordinates (9, -8) and (-2, 1) is _
Answer:
(3.5, - 3.5)
Step-by-step explanation:
Using the Midpoint theorem, we have
x=(9-2)/2=7/2=3.5
y=(-8+1)/2=-7/2=-3.5
(f^3-5f+25)-(4f^2-12f+9)
Answer:
3−42+7+16
Step-by-step explanation:
if its simplify
pls help me due tomorrow
Answer:
Step-by-step explanation:
f(x) = 2x - 4
g(x) = 1/2x - 4
6)
f(4) means that wherever you see an x on the right, you put a 4.
f(4) = 2x - 4
f(4) = 2*4 - 4
f(4) = 8 - 4
f(4) = 4
7)
g(x) = 1/2x - 4
g(2) = 1/2(2) - 4
g(2) = 1 - 4
g(2) = - 3
8)
f(-5) = 2*-5 - 4
f(-5) = -10 - 4
f(-5) = -14
9)
g(-6) = 1/2 ( - 6) - 4
g(-6) = -3 - 4
g(-6) = - 7
Devin volunteers at Big Pup Rescue. He is mixing up shampoo solution for the dog washing station. He needs 2 cups of shampoo concentrate for every 9 cups of water. Devin will use 36 cups of water.
How much shampoo concentrate should Devin add to the water to make the shampoo solution?
Answer:
8
Step-by-step explanation:
Make a ratio
2:9 = 11
In total there will be 11 cups of solution.
2:9 = 11
?:36 = ?
Divide
36 / 9 = 4
Now that you have found the scale factor, multiply
2 × 4 = 8
So, you will need 8 cups of shampoo concentrate.
Katie brought 5/6 pounds of candy to a slumber party tori brought 1/3 pound of candy how much candy did the girls have altogether
Answer:
1 [tex]\frac{1}{6}[/tex] pounds of candy
Step-by-step explanation:
Add together the fractions by creating a common denominator of 6:
[tex]\frac{5}{6} + \frac{1}{3}[/tex]
[tex]\frac{5}{6} + \frac{2}{6}[/tex]
= [tex]\frac{7}{6}[/tex]
Simplify into a mixed fraction:
= 1 [tex]\frac{1}{6}[/tex]
So, the girls had 1 [tex]\frac{1}{6}[/tex] pounds of candy
17. Test Practice which represents the number that is ten more than two
thousand, seventy?
A 280
® 2,008
© 2,080
0 2,800
Answer:
2,080
Step-by-step explanation:
Two thousand and seventy is written as 2,070.
Ten more than 2,070 would be 2,080 as you're just adding on 10.
Hope this helps :)
Which graph represents the function f(x)=|x−1|−3 ?
Solve for x.
X-4 = 8
*
3
Answer:
The answer is X=28.
CKPenny is selling 50 coats. Each coat with a hood have 5 buttons and each coat without a hood have 10 buttons. If there are 400 buttons among all the coats, how many coats don't have hoods?
Answer:
40 coats don't have hoods
In the equation $\frac{1}{j} + \frac{1}{k} = \frac{1}{3}$, both $j$ and $k$ are positive integers. What is the sum of all possible values for $k$?
Answer:
Hello,
answer 22
Step-by-step explanation:
[tex]\dfrac{1}{j} +\dfrac{1}{k} =\dfrac{1}{3} \\\\\dfrac{k+j}{j*k} =\dfrac{1}{3} \\\\\\3k+3j=j*k\\\\k(3-j)=-3j\\\\k=\dfrac{3j}{j-3} \\\\k=\dfrac{3j-9+9}{j-3} \\\\k=3+\dfrac{9}{j-3} \\\\\\j-3\ must\ be \ a divisor\ of\ 9 ==> 1,3,9\\\\j-3=1 ==> j=4 , k=3+\dfrac{9}{1} =12\\\\j-3=3 ==> j=6 , k=3+\dfrac{9}{3} =6\\\\j-3=9 ==> j=12 , k=3+\dfrac{9}{9} =4\\\\\sum\ k=12+6+4=22\\[/tex]
The sum of all possible values for k is 22.
What is fraction?The fractional bar is a horizontal bar that divides the numerator and denominator of every fraction into these two halves.
The number of parts into which the whole has been divided is shown by the denominator. It is positioned in the fraction's lower portion, below the fractional bar.How many sections of the fraction are displayed or chosen is shown in the numerator. It is positioned above the fractional bar in the upper portion of the fraction.Given:
1/j + 1/k= 1/3
Simplifying the fraction
(k+ j)/ kj= 1/3
3k + 3j = kj
k(3- j) = -3j
k = -3j/ (3- j)
k= 3j/ (j-3)
k = 3j + 9 - 9 / (j-3)
k = 3 + 9/ (j-3)
Since (j-3) must be divisor of 9.
j- 3 = 1---> j=4, k= 3 +9 = 12
j- 3 = 3---> j=6, k= 3 +9/3 = 6
j- 3 = 9---> j=12, k= 3 +9/9 = 4
So, The sum is = 12+ 6 + 4 = 22
Learn more about Fraction here:
https://brainly.com/question/10354322
#SPJ6
pls help me with this question and reply answer
Step-by-step explanation:
From both the cases we can say that √n is either a natural number or an irrational number. Hence the correct option is (d)Either a natural number or an irrational number. Note: Before solving this type of question we should have proper knowledge of natural numbers, rational numbers and irrational numbers.
Which of the following lists of ordered pairs is a function? A. (2,5), (3, 6), (6, 9) B. (-1,2), (2, 3), (3, 1), (2,5) C. (1,2), (4,0), (3,5),(4,3) D. (2,5), (3, 6), (2, 1)
Answer:
A. (2,5), (3,6), (6,9)
Step-by-step explanation:
In order to be a function, all inputs (x values) must go to only one output (y value). List A is the only list that obeys this rule. Therefore, List A is a function.
Margaret bought a video game, her father gave her 0.2 of the money, her aunt gave 0.5 of the money and she saved the rest. She saved $168 so what amt of money did her father give
Answer:
if Im correct it should be $8.40
Step-by-step explanation:
why well if you think of breaking down by say 1/4 of 168 all you do is divide 4 which is the whole amount by 0.2 which is the amount the father gave her so 4/0.2= 20 the you take your whole 168 and divide by 20 which the whole number for 0.2 the your answer should be this 168/20= 8.4 which then i assumed it was $8.40 hopefully that is correct hehe
The scale on a map is 1 inch = 10 miles.
What is the distance, in inches, on the map
between two towns that are m miles apart?
F.
m/10
G. M/5
H.5m
J.10m
K.m+10
Answer:
F. m/10.
Step-by-step explanation:
10 miles = 1 inch
1 mile = 1/10 of an inch so
m miles = m/10 inches.
This is for geometry, please help ASAP
Answer:
Option C,
y² = 18x, since the graph opens right
Answered by GAUTHMATH
A swimming pool has 143 gallons of water in it. The swimming pool drains at a rate of 8 gallons per minute. How much water is in the swimming pool after 11 minutes?
How much water does the swimming pool have after 11 minutes? Solve on paper, then enter your answer on Zearn.
The swimming pool has
gallons of water after 11 minutes.
Answer:
55 Gallons
Step-by-step explanation:
143 - (8)(11)
143 - 88
143 - 88
55 gallons
