Answer:24
Step-by-step explanation:
Given that f(x) = x2 + 12x + 32 and g(x) = x+ 4, find (f - g)(x) and
express the result in standard form.
Answer:
x²+11x+28
Step-by-step explanation:
(f - g) (x) = f(x) - g(x)
x² + 12x + 32 - (x + 4) = x² + 11x + 28
Plz solve I will give brainlist 15 points
Answer:
5 and 5
Step-by-step explanation:
The absolute value of a number is the number but positive.
/-5/ = 5 and /5/ = 5
Hope this helps!
A factory made 555 packs of mint flavored gum and 8695 packs of fruit flavored gum.What percentage of the packs contained mint gum ?
Answer:
6%
Step-by-step explanation:
This problem uses proportions
I would set this up as-
555 x
8695 100
Cross multiply-
100 x 555 = 55500
Divide-
55500/8695 = 6.38
Round to the nearest whole number
Solve for x
help please!!!
Answer:
x=1
Step-by-step explanation:
Answer:
7/3
Step-by-step explanation:
used calculator
Michael buys a basket of mangoes on sale for $4 before tax. The sales tax is 12%. what is the total price Michael pays for the basket of mangoes?
Answer:
The answer to your question is $4.48
I need help with my math!
The diagram compares the ratio of girls in the chorus to boys in the chorus. What is the ratio of girls to boys? If there are 50 students in the chorus, how many are girls, and how many are boys? ??50 The ratio of girls to boys is too. The number of girls in the chorus is. The number of boys in the chorus is.
Answer:
there are a total of 20 boys and 30 girls in the choir of 50 students
Step-by-step explanation:
Scale the ratio 2:3. so that the numbers on either side sum to 50 . 2+3=5 , and 50÷5=10 , so we scale our ratio by a factor of 10 . So there are a total of 20 boys and 30 girls in the choir of 50 students
identify the constant: 4x - 3
Answer:
The constant is 3 because it has no any variable term e.g "x"
Find the value of each variable.
Answer:
a = 20
b = 30
Step-by-step explanation:
1) Solving for a
From the diagram above, KL + ML = An arc
Hence, we add them up
110° + 130° = 240°
1/2 of 240° = 120°
Solving for a°
180° = 120° + 3a (sum of opposite angles in a cyclic quadrilateral)
180° - 120° = 3a
60° = 3a
a = 60/3
a = 20
2) Solving for b
The sum of the exterior angles of a circle = 360°
Hence:
360° = KL + ML + JM + JK
KL = 110°
ML = 130°
JM = 54°
JK = ??
JK = 360 - (110° + 130° + 54°)
JK = 360 - 294
JK = 66°
Adding up JK + JL = 54° + 66°
= 120°
1/2 of 120° = 60°
Hence:
60° + 4b = 180°(sum of opposite angles in a cyclic quadrilateral)
4b = 180° - 60°
4b = 120°
b = 120/4
b = 30
You dump the 49 coins from your piggy bank into a CoinstarCountemUp machine. You have only dimes and quarters which the CoinstarCountemUp machine counts as $7.45. Find the number of quarters and dimes in your Piggy bank.
Answer:
17 quarters and 32 dimes
Step-by-step explanation:
Just got a calculator out and started with an estimated guess and changed it till I got it correct.
what additional information can be used to prove vuw ~= yxz by asa
The cost of a piece of ribbon is directly proportional to the length of the ribbon. The cost of 8 yards of ribbon (without tax) is $5.60. The sales tax rate is 6.35%. What does it cost for 10 yards of ribbon, including tax?
Answer: $7.44
Step-by-step explanation:
The cost of a piece of ribbon is directly proportional to the length of the ribbon.
A yard is therefore:
= 5.60/8
= $0.70
10 yards will cost:
= 0.70 * 10
= $7.00
Including sales tax:
= 7.00 * (1 + 6.35%)
= $7.44
Find the number in each case.
1. 70% of a numbеr iѕ 63
thanks to everyone helping :)
Answer:
[tex]90[/tex]
Step-by-step explanation:
Let the unknown number be x
[tex]x \times \frac{70}{100} = 63 \\ x = \frac{63 \times 100}{70} \\ x = 90[/tex]
Hope this helps
Can I have the brainliest please?
~Hi1315~
Answer:
90
Step-by-step explanation:
If 70% of a number is 63, we can call that number x and make the following equation:
0.7x = 63
Now we just need to solve for x:
x = 63/0.7
x = 90
So the original number is 90.
How do we know we’re right? If you do 70% of 90 (aka 0.7*90), you’ll get 63, so we know it’s correct.
A triangle with area 50 cm^2 has side lengths 10cm and 22cm. What is the magnitude of the included angle?
Answer:
can we go to bed first
Step-by-step explanation:
then i will check your speed
Answer:
27°
Step-by-step explanation:
A = ab sinC / 2
50 = 10 * 22 * SinC / 2
sin C = (50 * 2) / (10 * 22) = 100 / 220 = 0.455
C = 27°
Can someone please solve F (x) = x² - 2x + 1
Answer:
i hope this helps
Step-by-step explanation:
Answer: x=1
Step-by-step explanation:
10. What is 7 less than the square root of 64?
Answer:
1
Step-by-step explanation:
the square root of 64
√64 = 8
8 - 7 = 1
what is better ,
8 pieces of candy for $0.99.
or
12 pieces of candy for $1.49.
Answer:
12 pieces of candy for $1.49
please help me!!!! Solve for x
5^x = 5^3 x 5^8
Answer:
x=11
Step-by-step explanation:
trust i guess
Answer:
Step-by-step explanation:
The terms have the same base... (5)
So...
You can just take away the 5s and get:
X = 3 . 8
X = 24
It is simple.
A(3,0) and B(-3,0) are the two fixed points Find the locus of a point P at which AB subtend a right angle at P
Answer:
[tex]y^2+x^2=9[/tex]
Step-by-step explanation:
Let's take a general point P(x,y). If there is a right angle at P then the slopes of the lines passing through AP and BP must be perpendicular.
Two lines of slopes m1 and m2 are perpendicular if:
m1*m2=-1
The slope of the line passing through P(x,y) and A(3,0) is:
[tex]\displaystyle m_1=\frac{y-0}{x-3}=\frac{y}{x-3}[/tex]
The slope of the line passing through P(x,y) and B(-3,0) is:
[tex]\displaystyle m_2=\frac{y-0}{x+3}=\frac{y}{x+3}[/tex]
Substituting in the equation:
[tex]\displaystyle \frac{y}{x-3}\cdot\frac{y}{x+3}=-1[/tex]
Operating:
[tex]\displaystyle \frac{y^2}{(x-3)(x+3)}=-1[/tex]
[tex]y^2=-(x-3)(x+3)[/tex]
[tex]y^2=-(x^2-9)[/tex]
[tex]y^2=-x^2+9[/tex]
[tex]\boxed{y^2+x^2=9}[/tex]
The locus is a circle centered at the origin with radius 3
Find the equation of the line perpendicular to 2x + 3y = -5 and
passing through (3, -5). Write the equation in standard form.
Answer:
3, -5
Step-by-step explanation: took the test
What is the slope of a line perpendicular to the line whose equation is x-y=6x. Fully reduce your answer.
Answer
1/5
Step-by-step explanation:
The slope of a perpendicular line is the negative reciprocal. Since y=-5x(m=-5), the slope is -(-1/5) which is 1/5
The slope of a line perpendicular to the line x - y = 6x is 1/5.
Here,
The equation of line whose equation is,
⇒x - y = 6x
We have to find the slope of a line perpendicular to the line x - y = 6x.
What is Equation of line?
The general equation of a straight line is,
y = mx + c
Where, m is the slope of the line.
Now,
The equation of line whose equation is,
⇒x - y = 6x
⇒ y = -5 x
Hence, the slope is -5.
The slope of a perpendicular line is the negative reciprocal.
So, The slope of a line perpendicular to the line x - y = 6x is,
⇒ [tex]-(\frac{1}{-5} )[/tex]
⇒ [tex]\frac{1}{5}[/tex]
The slope of a line perpendicular to the line x - y = 6x is 1/5.
Learn more about the Equation of line visit:
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The price of a car increased by 7% which expression can be used to calculate the new price of the car
Answer: P * ( 1 + 7%)
Step-by-step explanation:
You included no options but the expression should go something like this:
Pn = P * ( 1 + 7%)
Where Pn is the new price
P is the current price
The above formula will show the new price given the current price.
The next model of a sports car will cost 12.3% more than the current model. The current model costs $49,000. How much will the price increase in dollars?
What will be the price of the next model?
Answer:
The price increase is $6,027
The price of the next model is $55,027
Step-by-step explanation:
Find the cost of the next model by multiplying 49,000 by 1.123
49,000(1.123)
= 55,027
Find the price increase by finding the difference:
55,027 - 49,000
= 6,027
The price increase is $6,027
The price of the next model is $55,027
Answer:
First write the percent as a decimal to make calculating for the answer easier. Then, u see that its telling you it will be 12.3% more than current price.
Step-by-step explanation:
Which of the following quadratic equation has a solution set {1/2.5}? Select all that apply.
Answer: Where is the problem?
Step-by-step explanation: There's no problem
A local plant nursery recommends fertilizing a vegetable garden with a nitrogen fertilizer. The recommended amount of fertilizer is 0.6 lb per 100 square feet of garden space. How much fertilizer would be needed to fertilize 250 square feet of garden space?
A. 3.75 pounds
B. 1.5 pounds
C. 166 pounds
D. 2.5 pounds
Answer: 1.5 pounds
Step-by-step explanation:
You have 250 feet so if 0.6 is for 100 feet you would need 0.6+0.6 for the 200 feet. Then you need to split the 0.6 in half to make it 0.3 so, in conclusion, add 0.6+0.6+0.3 wich equals 1.5 HOPE THIS HELPS!!!
Answer:
B
Step-by-step explanation:
Write an equation in slope-intercept form of the line with slope −4/5 that contains the point (−5,−4).
A. y=−4/5x−5
B. y=−4/5x−8
C. y=−4/5x−4
D. y=−4/5x+4
Answer:
B
Step-by-step explanation:
Slope-intercept form:
y= mx +c, where m is the slope and c is the y-intercept.
Given that the slope is -4/5,
[tex]y = - \frac{4}{5} x + c[/tex]
To find the y-intercept, substitute a pair of coordinates.
When x= -5, y= -4,
[tex] - 4 = - \frac{4}{5} ( - 5) + c \\ - 4 = 4 + c \\ c = - 4 - 4 \\ c = - 8[/tex]
Thus, the equation of the line is
[tex]y = - \frac{4}{5} x - 8[/tex]
what is the volume of the figure
Answer:
5,376in^3
Step-by-step explanation:
find the volume of the smaller box first
10×4×12 = 480in^3
find volume of bigger box
17×12×24 = 4,896in^3
add both volumes 4,896 +480 = 5,376in^3
Answer:
v = 5,376
Step-by-step explanation:
So the first thing we have to do is figure out the volume for the first part of the cube figure.
To do this we just multiply H x W x L =
In this case v = 4,896
Now we do the same thing with the other rectangular prism:
10 x 4 x 12 = 480
Now that we have the 2 volumes we add them together:
4,896 + 480 = 5,376
Hence the total volume = 5,376
84=4v what is v
HELP PLEASEEEEEEEEE (it said it was to short so now I am writing this to make it longer)
Step-by-step explanation:
84=4v
4v=84
v=84/4
v=21
Please please help me, I don’t understand at all, I will truly appreciate it! Thank you
There were 12 boys and 20 girls in chorus.
What is the ratio of boys to girls?
A:3:8
B:5:3
C:3:5
D:5:8
Answer:
3:5
Step-by-step explanation:
you divide them by 4!
Identifying the Solution to a System of Two-Variable Inequalities
Which equation represents an inequality in the system
of inequalities shown in the graph?
4
Which point is a solution to the system?
х
2
4
Answer:
The answers are BELOW ⬇️
Step-by-step explanation:
P.S Thank ❤️ And Rate ⭐️ My Answer If It Has Helped You
The equation that represents the inequality in the graph is y < 2x + 2.
The solution of the system is (-1, -2).
What are systems of inequalities?At least two linear inequalities in the same variables make up a system of linear inequality in two variables. The graph of a linear inequality is the graph of all solutions to the system, and the solution of a linear inequality is the ordered pair that resolves all inequalities in the system.
To find the system of inequalities, first, we find the system of equations.
So, the first dotted line is passing through two points (-1, 0) and (0, 2),
then the equation of the line,
y - 0 = (2 - 0)/(0 + 1) (x + 1)
y = 2x + 2
From the diagram, the equation that represents the inequality in the graph is y < 2x + 2 ....(1)
Similarly, the equation of the second line is y ≤ 2x ...(2)
Now, the solution of the system is (-1, -2).
Therefore, the solution of the system is (-1, -2).
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