Given f(x) = 9(2 - x), what is the value of f(-3)?
Answers
f(-3)=45
Explanation:
To find f(-3), we plug in -3 as x.
f(x)=9(2-x)
f(-3)=9(2-(-3))
f(-3)=9(2+3)
f(-3)=9(5)
f(-3)=45
I hope this helps!
Answer:
Step-by-step explanation: find the exact value by using trigomectric identities
Related Questions
x^2-4x+3=0 complete the square
Answers
x^2-4x+3=0
Move the constant to the right
x^2-4x=-3
Add (4/2)^2 to both sides
x^2-4x+(4/2)^2=-3+(4/2)^2
Factor
(x-4/2)^2=1
Reduce the fraction
(x-2)^2=1
x=1
x=3
x1=1, x2=3
As per the quadratic equation, the given equation can be modified into (x - 2)² = 1. The value of x is 3, 1.
What is a quadratic equation?A quadratic equation is an equation where the variable has the highest degree of 2. A quadratic equation might have more than one variable. However, the highest degree of any variable must be 2.
Given equation: x² - 4x + 3 = 0
⇒ x² - 4x + 3 + 1 = 1 (By adding 1 on either side)
⇒ x² - 4x + 4 = 1
⇒ x² - 2 × x × 2 + 2² = 1
⇒ (x - 2)² = 1
⇒ x - 2 = ±1
⇒ x = 3, 1
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For the inequality y < 8 which statement best describes the graph?
There would be a horizontal dotted line on (0,8) and shading would occur below the line.
There would be a horizontal solid line on (0,8) and shading would occur above the line.
There would be a vertical dotted line on (8,0) and shading would occur to the right of the line
There would be a vertical solid line on (8,0) and shading would occur to the left of the line.
Answers
Answer:
There would be a horizontal dotted line on (0,8) and shading would occur below the line.
I just took the test and got it right :) hope this helps!
For the given inequality, the best describes the graph is that there would be a horizontal-dotted line on the point (0, 8) and shading occurred below the line. Hence, option A is correct.
What is a graph?In math, graph science is the theory of geometric structures called graphs that are used to represent pairwise different objects. Vertices—also known as nodes or points—that are joined by edges make form a network in this sense.
Undirected graphs, where edges connect two vertices equally, and focused therapy, where edges connect two vertices unevenly, are distinguished.
When the is made, there is the shaded area provided that is made due to intersection of lines and the area below the both the lines and the common that is said to be the shaded area.
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Tara has already run 7 miles on her own, and she expects to run 1 mile during each track
practice. How many track practices would it take for Tara to run 23 miles?
Explain please
Answers
Answer:
15 track practices
Step-by-step explanation:
because 23 minus the 7 she already ran is 15 which she runs 1 each practice
Answer:
16
Step-by-step explanation:
because if you minus 7 from 23 you get 16 so she would have to have 16 practices
On Monday the temperature was 3 degrees below 0 on Tuesday the temperature was 7 degrees what was the change in temperature
Answers
Answer:
10 degrees
Step-by-step explanation:
7 - (-3) = 7+3 = 10 degrees
Find the Slope of Y=X-2
Answers
Answer:
The slope is 1
Step-by-step explanation:
hope this helps
Answer:
Slope= 2.000/2.000= 1.000
Have a beautiful day and stay safe.
Mr. Christian is giving away special candies for Halloween. He has decided to spend $75 on Halloween candies. Each bag of candied raisins costs
$2.25 and each bags of Snickers costs $3.50.
1. Write the equation that represents this situation. Be sure to include what your variables stand for.
2. If Mr. Christian decides to buy 10 bags of candied raisins, how many bags of Snickers did he buy?
Answers
Answer:
1. For the candied raisins, r can represent the candied raisins
r = $2.25
t can equal total
t = total
And for the snickers, s can represent them
s = $3.50
Our equation would be: r + s = t
2. $52.50
10 bags of candied raisins would cost $22.50 so then we would subtract $22.50 from $75.00 because Mr. Christian wants to spend his full amount. We would get $52.50 from subtracting which is the amount he spent on the Snickers!
I hope that this can help you
Answer:
1: 2.25r + 3.50s = 75 ( r = raisins and s = snickers )
2: 15
Step-by-step explanation:
If you are creating an equation, you need to know which parts of the question should be included. The parts included in this equation would be $75 (total amount of money spent on candy), $2.25 (cost of 1 bag of candied raisins ), and $3.50 (cost of 1 bag of snickers).In order to make the equation, you would need to multiply both 2.25 and 3.50 by the amount of bags bought, however we do not know that yet, so we use variables. I chose to use r to represent the bags of candied raisins bought, and s to represent the bags of snickers bought. So that would leave you with 2.25r + 3.50s. Now since 75 is the total amount of money spent, you would set 2.25r + 3.50s equal to 75.
The answer to number 2 is 15. If you were to substitute r for 15, the new equation would be 2.25(10) + 3.50s = 75. When you multiply 2.25(10), you get 22.50. you would then subtract that from 75, giving you 50.50. The equation is now 3.50s = 50.50. The next step is to divide 3.50 on both sides, which would result in just the variable on the left side, and 15 on the right side of the equals sign ( s = 15 )
Using the Triangle Sum Theorem, find x and the missing angles (2x +1) (5x +5) x= Angle (2x+1) = Angle (5x+5) =
Answers
Answer:
x = 12
(2x + 1)° = 25°
(5x + 5)° = 65°
Step-by-step explanation:
By the property of a triangle,
Sum of all angles of a triangle is 180°
In the given right triangle,
(2x + 1)° + 90° + (5x + 5)°= 180°
7x + 96 = 180
7x = 180 - 96
x = [tex]\frac{84}{7}[/tex]
x = 12
Angle (2x + 1)° = 2(12) + 1 = 25°
Angle (5x + 5)° = 5(12) + 5 = 65°
Therefore, all three angles of the right triangle are 25°, 90° and 65°.
what is the value of the ratio 4:5
Answers
Answer:
You might need to be more specific, it could be 4 puppies to 5 dogs, or 4 apples to 5 oranges or 4 cups of flour to 5 cups of flour.
Step-by-step explanation:
The value of 4:5 is 4 for every 5 like 4 cups of sugar for every 5 cups of flour
The simplified form of ratio 4:5 is 0.8. The ratio is given in the form of p/q.
What is the ratio?It is described as the comparison of two quantities to determine how many times one obtains the other. The proportion can be expressed as a fraction or as a sign: between two integers.
It is given that the ratio is 4:5.
To convert mixed numbers into improper fractions, when A is the numerator or B is the denominator,
If either A or B is a decimal number, multiply both of their values by the same factor of 10, which will remove all decimal places.
If one value is a whole number and the other is a fraction, you should try to reduce the fraction to a whole number or convert the whole number to a fraction by giving it a denominator of 1.
= 4 / 5
We have to apply the division operation in which we have to divide the number 4 by 5 in order to obtain the improper fraction values as,
=0.8
Thus, the simplified form of ratio 4:5 is 0.8. The ratio is given in the form of p/q.
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change the following number into fraction 1.57 recurring
Answers
Answer:
Step-by-step explanation:
1.57
=157/100 answer
Write an equivalent multiplication expression. Then, find the quotient in its simplest form. Use a model to support your response. 1 4 ÷ 2 and 2 3 ÷ 6
Answers
Step-by-step explanation:
Let the integers be a, b and c. To model the expression generally;
[tex]\dfrac{a}{b} \div c = \dfrac{a}{b} \times \dfrac{1}{c}\\= \dfrac{a}{bc}[/tex]
Using the model to solve the following expression given
a) [tex]\dfrac{1}{4} \div 2[/tex]
[tex]= \dfrac{1}{4} \times \dfrac{1}{2}\\= \dfrac{1}{4*2}\\= \dfrac{1}{8}[/tex]
b)
[tex]= \frac{2}{3} \div 6 \\= \dfrac{2}{3} \times \dfrac{1}{6}\\= \dfrac{2}{3*6}\\\\= \dfrac{2}{18}\\= \dfrac{2}{9}[/tex]
Someone for the love of god please help me.
Answers
Answer:
Step-by-step explanation:
Anita is surveying students in her classroom about their favourite foods. Her survey results so far are shown below. Use fractions to answer the question.
What fraction of the students prefers either ice cream or pizza?
Type of Food: Fraction of Students Who Prefer the Food:
Fruit 1/12
Ice cream 1/3
Pizza 1/4
Other ?
Answers
Answer:7/12
Step-by-step explanation:fruit = 1/12 ice cream= 4/12 pizza=3/12 other must equal the remaining 4/12 btw and pizza plus ice cream is 4/12+3/12 = 7/12
If you want to buy an item in a store that costs $32.50 and is on sale for 30% off, then how much would the item actually cost you after the discount? Round to the nearest cent.
Answers
Answer:
$22.75
Step-by-step explanation:
if you multiply $32.50 * 30% you get $9.75
32.50-9.75=$22.75
Answer:
$22.75
Step-by-step explanation:
Convert percent to decimal:
30%=30/100=0.3
Percent formula:
a(1-r)
a(1−r)
32.5(1-0.3)
32.5(1−0.3)
32.5(0.7)
32.5(0.7)
22.75
22.75
Price after discount:
$22.75
The commission on the sale of a property is 5.5% of the value. What is the commission on the sale of a property that has the same percentage of the value of $21,450?
Answers
Answer: $1179.75
Step-by-step explanation:
Percentage of commission = 5.5%
Value of property = $21,450
Commission = Percentage commission × Value of property
= 5.5% × $21,450
= 5.5/100 × $21,450
= 0.055 × $21,450
= $1179.75
The commission is $1179.75
What is the equation of the line that passes through the point (8,4) and has a slope of 3/2 ?
Answers
Answer:
y = [tex]\frac{3}{2}[/tex] x - 8
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 )
Here m = [tex]\frac{3}{2}[/tex] , thus
y = [tex]\frac{3}{2}[/tex] x + c ← is the partial equation
To find c substitute (8, 4) into the partial equation
4 = 12 + c ⇒ c = 4 - 12 = - 8
y = [tex]\frac{3}{2}[/tex] x - 8 ← equation of line
The equation of a line that has a slope of 3/2 and passes through (8, 4) can be written as:
[tex]y - 4 = \frac{3}{2} (x - 8)[/tex] (point-slope form) or
[tex]y = \frac{3}{2}x - 8[/tex] (slope-intercept form).
Given:
a point on a line: (8, 4)
slope of the line: 3/2
The equation of the line can be written in either point-slope form or slope-intercept form.
First, let's write the equation in point-slope form since we know one of the points and the slope.
Point-slope equation takes the form: y - b = m(x - a)Where,
(8, 4) = (a, b), andm = 3/2Substitute[tex]y - 4 = \frac{3}{2} (x - 8)[/tex] =>> point-slope form.
Also, we can rewrite in slope-intercept form as follows:[tex]y - 4 = \frac{3}{2} (x - 8)[/tex]
Open bracket[tex]y - 4 = \frac{3}{2}x - 12[/tex]
Add 4 to both sides[tex]y - 4 + 4 = \frac{3}{2}x - 12 + 4\\\\y = \frac{3}{2}x - 8[/tex](slope-intercept form)
Therefore, the equation of a line that has a slope of 3/2 and passes through (8, 4) can be written as:
[tex]y - 4 = \frac{3}{2} (x - 8)[/tex] (point-slope form) or
[tex]y = \frac{3}{2}x - 8[/tex] (slope-intercept form).
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Can someone help me with the questions in the picture?
Answers
15 . i think tight angle triangle
18. isosceles
Answer:
13) Scalene
14) Iscosceles
15) Right
16) Scalene
17) Iscosceles
18) Right
Pretty simple explanations:
Iscosceles: 2 sides equal 1 side not, 2 angles congruent
Scalene: all sides and angles not congruent
Right: has a right angle in its legs
Consider Brainliest! Hope I helped!
What are the solutions to m2 - 9 = 0?
O m = -9 and m = 0
m = -3 and m = 3
оооо
m = -3
O m = 9
Answers
Answer:
m = -3 and m = 3
Step-by-step explanation:
[tex] {m}^{2} - 9 = 0 \\ \\ {m}^{2} - {3}^{2} = 0 \\ \\ (m + 3)(m - 3) = 0 \\ \\ m + 3 = 0 \: \: or \: \: m - 3 = 0 \\ \\ m = - 3 \: \: or \: \: m = 3 \\ \\ m = - 3, \: \: 3[/tex]
Answer:
b is correct
Step-by-step explanation:
To anyone reading this HAVE A GOOD DAY
Answers
Answer:
Thank you!
Step-by-step explanation:
I hope you have a good day as well :D
Answer:
Thank you :)
Step-by-step explanation:
Which expression would represent the cost of one CD, if the total cost for three of them is $362
3/36)
36-3
36
3+ 36
Answers
Answer:
One CD would've been 120.67
Someone correct me if I'm wring please
The larger nail is a dilation of the smaller nail.
Select all statements that are true.
Answers
Answer: the scale factor is 3/4
Step-by-step explanation:
Answer:
whats the rest of the answer?
Step-by-step explanation:
#2: Solve the linear system below using the elimination method. Type your
answer as an ordered pair in the form (#,#). *
-3x + 5y = -32
7x – 4y = 67
Answers
Answer:
[tex](9,-1)[/tex]
Step-by-step explanation:
Follow the same guidelines from the other answer. Hope this helps!!
PLEASE HELP!! I’LL GIVE BRAINLIEST AND 10 POINTS !! FOR THE CORRECT ANSWER
Answers
Answer: -9
Step-by-step explanation:
You count down the distance from T to K
Answer:
-9
Step-by-step explanation:
you are counting from t to k but its going to the left of the number line to its negative.
State if the two triangles are congruent, if they are state how you know.
A. SSS
B. HL
C. LL
Answers
Answer:
I belive it would be HL because its defenitly not SSS
Step-by-step explanation:
HL Postulate is if the hypotenuse and leg of one right triangle are congruent to the hypotenuse and leg of another right triangle, then the two triangles are congruent.
please help its urgent
Answers
9514 1404 393
Answer:
they are in the same place on the number line
Step-by-step explanation:
-(-a/b) = a/b, so will be plotted on the number line in exactly the same place as a/b.
Find the value of n so that PQRS is an isosceles is an isosceles trapezoid
Answers
Answer:
n=7.5°
Step-by-step explanation:
As the two lines are parallel do the equation is
(10n+19)+(12n-4)=180
10n+19+12n-4=180
22n+15=180
22n=180-15
22n=165
n=165/22
n=15/2
n=7.5
n=7.5°
Answer: it’s 11.5
Step-by-step explanation: I got it right
create a function and explain why it is a function using academic vocabulary (input ,output, mapping, vertical line test and function (
Answers
(0,0)(1,2)(7,14)(10,20)
it is a function because each input has only one input.
or
using the vertical line test none of the points are on the same line
What is 400 x 29 can you please solve thank you
Answers
Answer:
11,600
Step-by-step explanation:
calculated
Answer: 400 x 29= 11,600
Expand.
Your answer should be a polynomial in standard form.
(-1 + 2p)(3 – 4p) =
Answers
Answer:
-1+2p)(3-4p)=
Step-by-step explanation:
is the best one
The correct answer is :-3+10p-8p^2
can i be marked brainlest plz
HELP ME PLEASEEE!
Write the equation of the linear function displayed in the graph below in slope intercept form. *
Answers
when a number i added to its square , the result is 6 what is the number
Answers
Answer:
2
Step-by-step explanation:
2 ² is 4. If you add 2 to 4, you get 6. Therefore, the answer is 2.
Solving using factorization method, the unknown number is either -3 or 2.
What is a square of a number?The square of a number is the product win a number is multiplied by itself.
Let the unknown number be a.
Square of a = a × a
The number is added to its square:
[tex]a + a^{2}= 6[/tex]
[tex]a^{2} \: + a - 6 = 0[/tex]
solving by factorization:
a = -3 or 2
Therefore, the unknown number is either -3 or 2.
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