Given:
The functions are
[tex]f(x)=4x^2+7x-5[/tex]
[tex]g(x)=-9x^2+4x-13[/tex]
To find:
The functions [tex](f+g)(x)[/tex] and [tex](f-g)(x)[/tex].
Solution:
We know that,
[tex](f+g)(x)=f(x)+g(x)[/tex]
[tex](f+g)(x)=4x^2+7x-5-9x^2+4x-13[/tex]
[tex](f+g)(x)=(4x^2-9x^2)+(7x+4x)+(-5-13)[/tex]
[tex](f+g)(x)=-5x^2+11x-18[/tex]
And,
[tex](f-g)(x)=f(x)-g(x)[/tex]
[tex](f-g)(x)=(4x^2+7x-5)-(-9x^2+4x-13)[/tex]
[tex](f+g)(x)=4x^2+7x-5+9x^2-4x+13[/tex]
[tex](f+g)(x)=(4x^2+9x^2)+(7x-4x)+(-5+13)[/tex]
[tex](f-g)(x)=13x^2+3x+8[/tex]
Therefore, the required functions are [tex](f+g)(x)=-5x^2+11x-18[/tex]
and [tex](f-g)(x)=13x^2+3x+8[/tex].
Which of the following is a property of all rectangles?
A. The diagonals are congruent.
B. There is 1 pair of parallel opposite sides.
C. The diagonals are perpendicular.
D. There are 4 congruent sides.
Answer:
its the final anwser d because they have 4 congruent sides search it up
The property of all rectangles is A. The diagonals are congruent.
What is a rectangle?That parallelogram in which adjacent sides are perpendicular to each other is called a rectangle.
A rectangle is always a parallelogram and a quadrilateral but reverse statement may or may not be true.
The properties of rectangles are:
A rectangle is a quadrilateral
The opposite sides are parallel and equal.
Each interior angle is equal to 90 degrees or right angle.
The diagonals bisect each other and Both the diagonals have the same length
All angles are right angles in the rectangle. The diagonals are congruent And it's a parallelogram
The correct answer is A. The diagonals are congruent.
Learn more about rectangle here:
https://brainly.com/question/4887838
#SPJ2
Write an equation in slope intercept form of the line that passes through the points (2.6) and (-4,-2).
Please help me with this Algebra question. Who ever gets everything correct will be brainliest!
I really need it.
Answer:
= 16
= 17
= 30
Step-by-step explanation:
guess I helped
Answer:
cherry =16
Step-by-step explanation:
and rest I don't know
Question 11
Rhonda deposits $5,600 in a savings account that pays 1.36% Interest, compounded semiannually. What is the balance after the first 9 months?
Answer:
follow me please and give thanks
Can someone help me here thx!
The answer is v = 8
because 8-8=0 0/2=0
12+0= 12
12=12
10. If possible, determine whether or not triangles LQP and LMN
are similar. Give a detailed explanation for your answer.
PLEASE HELP!!
Answer:
They are similar
Step-by-step explanation:
If two triangles are similar, the ratio of their corresponding side lengths must be equal to each other.
This means that for ∆LQP and ∆LMN to be considered similar to each other, therefore:
LM/LQ = LN/LP
LM = 100
LQ = 12
LN = 75
LP = 9
LM/LQ = 100/12 = 25/3
LN/LP = 75/9 = 25/3
LM/LQ = LN/LP = 25/3, therefore ∆LQP and ∆LMN are similar to each other because the ratio of their corresponding side lengths are the same.
what is the area of the figure
Answer:
I can not see the question
Step-by-step explanation:
Please post the question with the picture on your profile so I can attempt it
Find the slope of the line that contains the following pair of points (1,6) and (9,-4)
Answer:
-1.25
Step-by-step explanation:
[tex]\boxed{slope = \frac{y1 - y2}{x1 - x2} }[/tex]
☆ (x₁, y₁) is the 1st coordinate and (x₂, y₂) is the 2nd coordinate
Slope of line
[tex] = \frac{6 - ( - 4)}{1 - 9} \\ = \frac{6 + 4}{ - 8} \\ = - \frac{10}{8} \\ = - \frac{5}{4} \\ = - 1.25[/tex]
luisa reads 2 pages of hee book every minute.At this rate,how many hours will it take her to read 300 pages?
Answer: 150 minutes or 2.5 hours
Step-by-step explanation: subsite the hours with x so you would have 2x=300 if she reads 2 pages a minute in 150 minutes she would have 300 pages
What is the perimeter of △LMN?
8 units
9 units
6 + StartRoot 10 EndRoot units
8 + StartRoot 10 EndRoot units
Answer: 8 + StartRoot 10 EndRoot units (Option D, in other words, the last one)
Step-by-step explanation: I'm right bros
does 1 pound of ice weigh same as 1 pint of water?
Show you work! Giving lots of points for great explained answer!
Answer:
If Kristen were to make 4 batches, and each batch requires 2 cups of flour, how many cups of flour would she need? To solve this question, we would just multiply 4 by 2, which gives us a final product of 8.
Similarly, in this question, if one batch requires 1 3/4 cups of flour and Kristen wants to bake 3 1/2 batches, she would need 1 3/4 x 3 1/2 cups of flour.
1 3/4 can be rewritten as an improper fraction- 7/4.
3 1/2 can also be rewritten as an improper fraction- 7/2.
Multiplying 7/4 and 7/2, we obtain a final product of 49/8, or 6 1/8.
This means, Kristen will need 6 1/8 cups of flour to make 3 1/2 batches, and her belief that she needs 3 3/8 cups of flour is wrong, as she needs a lot more than that.
Hope this helps!
Answer:
no she is incorrect
she will require 49/8 cups
Find the product.
0 100
of 24
A. 8
B. 15
C. 11
D. 9
Answer:
Answer (C) 11
Step-by-step explanation:
charlie runs laps around a track. the table shows how long it takes him to run different numbers of laps. how long would it take charile tto run 5 laps laps-2,4,6,8,10 time-6,12,18,24,30
pls help
Answer:
25 minutes
Step-by-step explanation:
From the table,
2 laps takes time 10 min.
4 laps takes time 20 min.
6 laps takes time 30 min.
8 laps takes time 40 min.
10 laps takes time 50 min.
So, we can deduce the relation between the number of laps and time
the time over the number of laps at each row = 5
Which mean 1 lap takes 5 minutes
sooooooo, to run 5 laps, it takes = 5 * 5 = 25 minutes
Hope u have a great day
Answer:
thanks for the points
Step-by-step explanation:
E
Gawain sa Pagkatuto Bilang 1: Pagtapatin ang pangkat ng
multiples sa Hanay A at ng tamang bilang sa Hanay B. Gawin ito sa
iyong sagutang papel.
Hanay A
Hanay B
1. 350, 365, 380, 395, 410
a. multiples ng 20
2. 121, 143, 187, 198, 220, 231 b. multiples ng 5
240, 260, 280, 300, 320
c. multiples ng 8
4. 160, 176, 192, 200, 208
d. multiples ng 15
75, 105, 135, 150, 180, 210
e. multiples ng 11
3.
5,
Answer:
05949494
Step-by-step explanation:
;_;_;_(*(*!$+$+$8 djdjskosjdhdhdjdhdjsisudjjddhjdhdhhdhdhjhs the way to sk it or to did I rnd
can you help me solve this plz?
Answer:
x=5.6 y=4.8
Step-by-step explanation:
What is the distance between the points (18,39) and (3,39) in the xy-plane
A.36 units
B.15 units
C.21 units
D.7.5 units
Answer:
B. 15 units
Step-by-step explanation:
they said I needed to add more writing before submitting an answer but yeah, I think the answer is B. good luck
Answer:
B.15 units
Step-by-step explanation:
[tex]d = \sqrt{ {(18 - 3)}^{2} + {(39 - 39)}^{2} } \\ \\ d = \sqrt{ {(15)}^{2} + {(0)}^{2} } \\ \\ d = \sqrt{ {(15)}^{2} } \\ \\ d = 15\:units[/tex]
Carla is offered a new job with big time book sellers. Her starting wage is $10.00 per hour, and she will receive a $0.50 raise after the first year. For each year that she stays with the company after that, her raise will be $0.50 more than it was the year before. How much will Carla make per hour in her 7th year working at big time book sellers? A, How would you solve the problem? Explain the steps you would take. What is your answer? B, What is one important detail from this problem that you think people might commonly miss?
Answer: she would make 13.50 per hour for the 7th year you would solve it by .50x7 and add it to 10.00
Step-by-step explanation:
(giving brainiest)
Keona pours 128 ounces of water into a jar 3 times to fill it. How many pints of water does it take to fill the jar?
A. 16 pints
B. 24 pints
C. 384 pints
D. 6,144 pints
Answer:
B- 24 pints
Step-by-step explanation:
128 x 3= 384 ounces
1 ounce = 0.0625
0.0625 x 384= 24 pints
Hope this helps ^-^
equation equivalent to 64
Answer:
x - 64 = 0
x - 32 = 32
too many others
John bought a video game that was 20% off. The game was originally $60. What was the sale price of the game?
Answer:
it was $48
Step-by-step explanation:
$60X0.2
=$48
You welcome
What is the product of 5/10 x 4/5 in lower terms (simplified)?*
A.20/5
B.2/5
C.9/15
D.10/25
Answer:
[tex]\frac{2}{5}[/tex]
Step-by-step explanation:
We have two fractions being multiplied and are being asked to simplify it.
When you multiply two fractions, you always multiply across :
[tex]\frac{5}{10}*\frac{4}{5} = \frac{5*4}{10*5}[/tex]
[tex]\frac{20}{50}[/tex]
Since both the numerator and denominator end in 0, we can simplify this by cutting out the zeroes.
Leaving us with B. 2/5
Lillian wants to give 1/3 of a pizza to each of six girls at her party. Dragon drop the correct equation an answer to find how many pizzas Lillian needs
Answer:
2 pizza
Step-by-step explanation:
Given
[tex]Pizza = \frac{1}{3}[/tex]
[tex]Girls = 6[/tex]
Required
Amount of Pizza needed
To do this, we simply multiply the fraction of pizza by the number of girls i.e.
[tex]Amount = Pizza * Girls[/tex]
[tex]Amount = \frac{1}{3} * 6[/tex]
[tex]Amount = 2[/tex]
Hence, Lilian needs 2 pizza
Martin Fernandez necesita construir
canaletas para el techo de su casa por las
inminentes lluvias que el Senamhi (Servicio
Nacional de Meteorologia e Hidrologia del
Peru) ha pronosticado. Para ello, cuenta con
planchas de 300 cm de largo por 16 cm de
ancho con recubrimiento de sinc. que las
hace resistentes a la acción corrosiva del
medioambiente. Para concretar su proyecto.
basta con doblar hacia arriba algunos
centimetros a cada lado, como se muestra
en la figura
Answer:
Plz use english language so that we all can understand and solve it..
Step-by-step explanation:
and i am sry bcoz i can't understand your language
How many applications will your mother actually use on her new cell phone?
Solve the equation you wrote in part b to find the unknown variable. (2 points)
Answer:
24
Step-by-step explanation:
what's is the magnitude of vector i+j+k
Sebuah wadah berbentuk kerucut dengan volume 16.632 cm3 dan tinggi 36 cm. Tentukan jari jari alas kerucut tersebut
Answer:
21 cm
Step-by-step explanation:
The computation of the radius is shown below:
As we know that
The volume of the cone = [tex]\frac{1}{3} \pi r^2h[/tex]
where
Volume of the cone is 16.632 cm^3
height = 36 cm
So, the radius of the cone is
[tex]16.632 cm^3 = \frac{1}{3} \times \frac{22}{7} \times r^2 \times 36\\\\16.632 cm^3 = \frac{22}{7} \times 12 \times r^2\\\\16.632 cm^3 = \frac{264}{7} \times r^2\\\\r = \sqrt{441} \\\\r = 21 cm[/tex]
what fraction is next in pattern 1/8, 1/4, 3/8, 1/2 ?
Answer: 5/8
Step-by-step explanation:
Need help with this question
Answer:
your answer will be option C
Step-by-step explanation:
hope this helps ^_^
Senor Ogar is planting a garden in the corner of his yard before he does any planting however he wants to make a scale drawing showing where each vegetable and fruit go so far he has drawn the perimeter of his garden the actual length of the vertical and horizontal legs of his triangular Garden is 3M after making his drawing he decides that his Gail is way too small instead he wants the vertical and horizontal legs of the triangle on his drawing to be 18 cm make a new scale drawing with new dimensions of the scale drawing make sure to label all three sides of the garden and include the new scale