[tex](f-g)(2)=f(2)-g(2)[/tex]
Therefore, find f(2) and g(2) first before subtracting.
[tex]f(x)=-4x+15[/tex]
Therefore,
[tex]f(2)=-4(2)+15\\f(2)=-8+15\\f(2)=7[/tex]
Then find g(2)
[tex]g(x)=7x^3\\g(2)=7(2)^3\\g(2)=7(8)\\g(2)=56[/tex]
Then put f(2) to subtract g(2)
[tex]f(2)-g(2)=7-56\\f(2)-g(2)=-49[/tex]
Therefore, the answer is (f-g)(2) = -49.
What is $124 with a 35% Decrease?
Answer:
$80.60
Step-by-step explanation:
35% of $124 = $43.40Find the new price: $124.00 - $43.40 = $80.60I hope this helps!
Write the number three hundred sixty-five ten thousandths
Answer:
365,000
Step-by-step explanation:
Three hundred sixty five ten thousands means 3 hundred and 65 thousands
The number will be written in figures as 365,000
The hundred defines the 300 and the sixty-five ten thousands define 65,000
ten thousands is added in the number to define the nature of sixty-five.
will mark brainliest, 50 points. I need some help graphing an equation, could someone graph it on paper and show me? i have multiple of these to do and if i can see an example it will be much appreciated.
The equation is y = 5x + 253
The new Virgo the Vampire Hunter novel is 540 pages. Skyler has read 145 pages in 5 hours. Ramon has read 124 pages in 4 hours who reads faster, Skyler or Ramon? How long will it take Ramon to read entire book if he continues to read at his current rate?
Answer:
Ramon, 16 hours
Step-by-step explanation:
Look at points C and D on the graph:
Coordinate grid shown from negative 6 to positive 6 in increments of 1 on both the axes. A line is drawn by connecting point C at 0, 2 and point D at 6, negative 4
What is the distance (in units) between points C and D? Round your answer to the nearest hundredth. (5 points)
Group of answer choices
3.46 units
8.49 units
12.00 units
72.00 units
I WILL MARK BRAINLIEST IF U GET IT CORRECT ALSO PLS BE FAST
Answer:
12.00
Step-by-step explanation:
the line splits half way through 6 units
Answer:
12.00
Step-by-step explanation:
i took the test
What method can be used to prove the triangles below are congruent?
Answers: SAS, AAS, ASA, Not Possible
Answer: D) Not possible
SSA is not a valid congruence theorem. Note how the angles are not between the congruent sides.
An SSA congruence theorem does exist. By SSA congruence ΔABC ≅ ΔPQR. Therefore, option D is the correct answer.
In the given figure, two sides and one angle of one triangle congruent to other triangle.
What is the congruence theorem?Triangle congruence theorem or triangle congruence criteria help in proving if a triangle is congruent or not. The word congruent means exactly equal in shape and size no matter if we turn it, flip it or rotate it.
Consider ΔABC and ΔPQR
Here,
∠A=∠P (Given)
AC=PR (Given)
BC=QR (Given)
An SSA congruence theorem does exist. can be used to prove triangles congruent. sides and the corresponding nonincluded angle of the other, then the triangles are congruent.
By SSA congruence ΔABC ≅ ΔPQR
An SSA congruence theorem does exist. By SSA congruence ΔABC ≅ ΔPQR. Therefore, option D is the correct answer.
To learn more about the congruent theorem visit:
https://brainly.com/question/24033497.
#SPJ2
Please help ASAP
Question is in picture
Answer:
A,C,D
Step-by-step explanation:
If th ere are 10,000 stu dents enrolled in the college an d the institution is funded at the rate of $300 per student unit. At the 95 % confidence level, estimate the interval th at covers the total funding of the college . for full credit, round the answer to TWO decimal places!
Complete question :
A college is funded depending on the mean number of credit units a student takes. A survey involving 16 students yielded the mean number 12 units with a standard deviation 3 units. Assume normal population
If th ere are 10,000 stu dents enrolled in the college an d the institution is funded at the rate of $300 per student unit. At the 95 % confidence level, estimate the interval th at covers the total funding of the college . for full credit, round the answer to TWO decimal places!
Answer: (35823600 , 36176400)
Step-by-step explanation:
Mean number of units = 12
Standard deviation = 3
Number of samples (n) = 10000
Fund rate = 300
Mean = 10000 * 300 * 12 = 36000000
Standard deviation = 10000^0.5 * 300 * 3 = 90000
Fir 95% C. I
Z0.05 = 1.96
Interval = mean ± 1.96 * SE
(36000000 - 1.96*90000) ; (36000000 + 1.96*90000)
(35823600 , 36176400)
Dave is making cookies.
He mixes flour, butter and sugar in the ratio 6:4:1
Dave uses 160 grams of butter.
Work out how much flour and sugar Dave uses.
Answer: 240 grams of flour and 40 grams of sugar.
Step-by-step explanation: I used the rule of three to calculate the values for the flour and sugar. The common ratio that these numbers have would
be 40.
Reasoning: If the ratio is 6:4:1, then you can apply it as a rule of three. If 160 relates to 4, then x (the value of flour) will relate to 6. 160/4 = x/6, cross multiply, and x = 240. The amount of flour is 240 grams. Using the same logic, you can set another rule for the amount of sugar (represented by variable s); 160/4 = s/1. Cross multiply, and s = 40. The amount of sugar is 40 grams.
I need help please!!!!
Answer: I think it is 364.80
Pls help pls pls I ve been working on this for so long
Answer:
(C) 1 1/2 mph
Step-by-step explanation:
There are 3 1/3rds in a hour. So you would multiply the rate by 3, since there's 3 in an hour.
0.5 * 3 = 1.5 mph or 1 1/2 mph (C)
Can you help me find X 2x=10? Pretty please
Answer:
5
Step-by-step explanation:
2*5 = 10
Plz Help due in 10 min If triangle ABC has the following angle measurements, what is the value of x?
∠A=4x − 17
∠B= 3x + 8
∠C= x+ 13
x = 22
x = 23
x= 176
x = 3.7
Answer:
Step-by-step explanation:
4x-17+3x+8+x+13=180
8x+4 =180
8x=176
X=22
Answer:
x = 22
Step-by-step explanation:
<A + <B + <C = 180
<A = 4x - 17
<B = 3x + 8
<C = x + 13
4x - 17 + 3x + 8 + x + 13 = 180 Collect the like terms
8x + 4 = 180 Subtract 4 from both sides
8x = 180 - 4
8x = 176 Divide by 8
x = 176/8
x = 22
i need this rnnnnnn pls and ty
Answer:
The answer is A
Step-by-step explanation:
Because if you move -13 to the other side you have add so 8+13= 21 then you divide 21÷-7 = -3 remember to move the sign.A student wrote the equation 4(x+5.5)=3(1.5x+4.75) to represent the problem shown. Find her mistake and correct it.
Petra and her 4 friends went to the movies. They each bought a ticket for x dollars and spent $5.50 each on snacks. Valentina and her 3 friends went to the movies and paid 1.5 times as much for each of their tickets as Petra. Everyone in Valentina’s group also spent $4.75 each on snacks. If both groups spent the same amount, what is the cost of a ticket for Petra’s group?
Answer:
$8.5Step-by-step explanation:
The first group consists of Petra and 4 friends, so the total number of members is 5, therefore the left side of equation should be:
5(x + 5.5)The second group consists of 4 people, Valentina and 3 friends, therefore the right side of the equation should be:
4(1.5x + 4.75)Solving the equation to find the cost of a ticket for Petra's group:
5(x + 5.5) = 4(1.5x + 4.75)5x + 27.5 = 6x + 196x - 6x = 27.5 - 19x = 8.5Cost of a ticket is $8.5
Find the missing angle.
Answer:
x = 63°
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesGeometry
All angles in a triangle add up to 180°Step-by-step explanation:
Step 1: Set up equation
x + 94° + 23° = 180°
Step 2: Solve for x
Combine like terms: x + 117° = 180°Subtract 117° on both sides: x = 63°Answer: it’s 63
Step-by-step explanation:
All triangles equal 180. So you need to add the angles they give you; so 23+94=117 so then you subtract 117 from 180 which equal 63
please please help i’ll give brainliest tysm :)
Answer:
C) Between 9 and 13
Step-by-step explanation:
If 40% is 5 gallons, then 20% is 2.5 gallons
If you multiply both by 5, you get 12.5, which is between 9 and 13
Sorry for my weird way of math
Answer:
the tank can hold 12.5 gallons when it is full
Step-by-step explanation:
Let's assume tank can hold 'x' gallons when it is full we are given
The gas gauge in a car shows it has 40% of a tank of gas
So, gas in car is and we have the car has about 5 gallons so, we can set it equal
and then we can solve for x
Multiply both sides 5
we get
So, the tank can hold 12.5 gallons when it is full
Please help me! Due soon!
The quadratic [tex]3x^2+4x-9[/tex] has two real roots. What is the sum of the squares of these roots? Express your answer as a common fraction in lowest terms.
Answer:
70/9
Step-by-step explanation:
We have the quadratic:
[tex]3x^2+4x-9[/tex]
So, let’s find the roots of the quadratic. We will set the expression equal to 0:
[tex]3x^2+4x-9=0[/tex]
Testing for factors, we can see that our quadratic isn’t factorable.
So, we can use the Quadratic Formula. The quadratic formula is given by:
[tex]\displaystyle x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
In this case:
[tex]a=3, b=4,\text{ and } c=-9[/tex]
Therefore, by substitution:
[tex]\displaystyle x=\frac{-(4)\pm\sqrt{(4)^2-4(3)(-9)}}{2(3)}[/tex]
Evaluate:
[tex]\displaystyle x=\frac{-4\pm\sqrt{124}}{6}[/tex]
Simplify the square root:
[tex]\sqrt{124}=\sqrt{4\cdot31}=2\sqrt{31}[/tex]
Hence:
[tex]\displaystyle x=\frac{-4\pm2\sqrt{31}}{6}[/tex]
Reduce:
[tex]\displaystyle x=\frac{-2\pm\sqrt{31}}{3}[/tex]
So, our roots are:
[tex]\displaystyle x_1=\frac{-2+\sqrt{31}}{3}, x_2=\frac{-2-\sqrt{31}}{3}[/tex]
We want to find the sum of the squares of our two roots. So, let’s square each term:
[tex]\displaystyle (x_1)^2=\Big(\frac{-2+\sqrt{31}}{3}\Big)^2[/tex]
Square. For the numerator, we can use the perfect square trinomial patten where:
[tex](a+b)^2=(a^2+2ab+b^2)[/tex]
Therefore:
[tex]\displaystyle (x_1)^2=\Big(\frac{(-2)^2+2(-2)(\sqrt{31})+(\sqrt{31})^2}{9}\Big)[/tex]
Simplify:
[tex]\displaystyle (x_1)^2=\frac{35-4\sqrt{31}}{9}[/tex]
Similarly, for the second root, we will have:
[tex]\displaystyle (x_2)^2=\Big(\frac{-2-\sqrt{31}}{3}\Big)^2[/tex]
So:
[tex]\displaystyle (x_2)^2=\Big(\frac{(-2)^2+2(-2)(-\sqrt{31})+(-\sqrt{31})^2}{9}\Big)[/tex]
Simplify:
[tex]\displaystyle (x_2)^2=\frac{35+4\sqrt{31}}{9}[/tex]
Therefore, our sum will be:
[tex]\displaystyle (x_1)^2+(x_2)^2\\\\ \begin{aligned} &=\frac{35-4\sqrt{31}}{9}+\frac{35+4\sqrt{31}}{9}\\&=\frac{35-4\sqrt{31}+35+4\sqrt{31}}{9}\\&=\frac{70}{9}\end{aligned}[/tex]
Therefore, our final answer is 70/9.
4. If 4 people are out to eat and the total coast is $225, how much would that be if they split it evenly?
Answer:
The answer is $56.25
Step-by-step explanation:
To solve this problem all you have to do is divide 225 by 4 and you have your answer!
hope this helps :)
help me plz i dont understand how t=40
Answer:
t=40
Step-by-step explanation:
The sum of all angles in a triangle will always equal 180°. This means that:
(2t-42)+(4t-49)+(2t-49) = 180°
Let's solve this equation!
(2t-42)+(4t-49)+(2t-49) = 180
First we simplify what's on the left side:
2t-42+4t-49+2t-49 = 180
2t+4t+2t-42-49-49 = 180
8t-140 = 180
*Add 140 to both sides
8t = 180+140
8t = 320
Divide both sides by 8 to know what t means:
t = 320/8
t = 40
Write a linear function f with the values f(-4) = 0 and f (4) = 2.
Answer:
y + (1/4)(x + 4)
Step-by-step explanation:
One point on the graph is (-4, 0); another is (4, 2).
The change in x from the first point to the second is 8; this is the 'run.'
The change in y is 2 (which is 2 - 0). This is the 'rise.'
Thus, the slope of the line is m = rise / run = 2/8 = 1/4
Let's use the point-slope form of the equation of a straight line:
y - k = m(x - h). Substituting 0 for k and -4 for h, we get:
y - 0 = (1/4)(x + 4), or
y + (1/4)(x + 4)
please im so stressed i cant rn
Answer:
i dont even know what the qeustion is trying to say
Step-by-step explanation:
Find an equation for the line that has a slope of 2 and passes through the point (-8, 0) .
Answer:
[tex]y=2x+16[/tex]
Step-by-step explanation:
i did the math
a) Frank lost his old tennis racquet. He bought a new one. The new racquet was six dollars less than
three times the price of the old one. Write an algebraic expression to show the cost of the new racquet. I
Answer:
3x-6
Step-by-step explanation:
3x-6 if the cost of the old racquet was x.
A recipe for a loaf of bread calls for 2/3 of a cup of flour. If milo used 12 cups of flour, how many loaves of bread did he prepare?
A.18
B.16
C.15
D.12
E.8
Answer:
15
Step-by-step explanation:
no
An item on sale costs 10% of the original price. The original price was $99 what the sale price
Answer:
Step-by-step explanation:
Constance C. asked • 03/06/17. An item on sale costs 60 % of the original price. If the original price was $ 85 , what is the sale price? An item on sale costs 60 %
and, New innings hidjsjs. dbsjsjjz djskskkdjd
Answer:
THANK YOU?
Step-by-step explanation:
DNSNJSMSNNFJD
Please, give me brainliest
7/8-3/4 fully reduce
Answer:
1/8
Step-by-step explanation:
7/8-3/4 = 7/8-6/8 = 1/8
please mark as brainliest!
Who is correct? Thanks for the help
Will give brainliest!!
Please help!
When purchasing a new bike, 38% of customers also buy a new helmet. If the bike shop sells 105 bikes next month, about how many customers are predicted to also buy a new helmet?
Answer:
39
Step-by-step explanation:
105 times 0.38
multiply and get 39.9
you can't have a decimal of a person, so round down
Answer:
about 40.
Step-by-step explanation:
Assuming that all the customers are the ones who got the bikes (so 105), all you need to do is .38 x 105, which is 39.9. you cannot have .9 of a person, so you round that up to 40.