Answer:
B. 3Step-by-step explanation:
Given:
f(x) = 3x - 2Find the following:
[f(3 + h) - f(3)]/h = [3(3 + h) - 2 - (3(3) - 2)]/h = (9 + 3h - 2 - 9 + 2)/h = 3h / h =3Correct choice is B
f(3+h):-
[tex]\\ \sf\longmapsto f(3+h)[/tex]
[tex]\\ \sf\longmapsto 3(3+h)-2[/tex]
[tex]\\ \sf\longmapsto 3h+9-2[/tex]
[tex]\\ \sf\longmapsto 3h+7[/tex]
f(3):-
[tex]\\ \sf\longmapsto 3(3)-2[/tex]
[tex]\\ \sf\longmapsto 9-2[/tex]
[tex]\\ \sf\longmapsto 7[/tex]
Now
[tex]\\ \sf\longmapsto \dfrac{f(3+h)-f(3)}{h}[/tex]
[tex]\\ \sf\longmapsto \dfrac{3h+7-7}{h}[/tex]
[tex]\\ \sf\longmapsto \dfrac{3h}{h}[/tex]
[tex]\\ \sf\longmapsto 3[/tex]
A 20 foot ladder is leaned against a house and the base of the ladder is 4 feet from the house. How far up does the ladder reach?
Answer:
20.40 ft
Step-by-step explanation:
a^2 + b^2 = c^2 (right triangle) (sides of the triangle are the house and the distance from the base of the ladder to the house. The hypotenuse is the ladder.
20^2 + 4^2 = c^2
400 + 16 = c^2
C = sqrt 416
C = 20.40 ft
can someone answer this for me pls
Answer:
hbgvfcdexsedfcgvgv b
Step-by-step explanation:
hgvfctdrxseazwsxrdctfvghbtfrdes
What is the amount received at the end of the period on investing $1000 for 2 years at 5% per annum compound interest?
Answer:
$1102.50
Step-by-step explanation:
The appropriate compound interest formula is
A = P(1 + r)^t, where P is the principal ($1000), t is the number of years, and r is the interest rate as a decimal fraction.
Here A = $1000(1 + 0.05)^2 = $1000(1.05)^2 = $1102.50
Solve pls brainliest
Answer:
1. no 2: yes 3: yes 4. no 5.no 6. no
Step-by-step explanation:
solve the variables
Answer:
x = 72° , y = 54°
Step-by-step explanation:
x and 108° are adjacent angles on a straight line and sum to 180°
x + 108° = 180° ( subtract 108° from both sides )
x = 72°
The vertex of the triangle on the left is vertically opposite x and is congruent
vertex = 72°
The sum of the 3 angles in the triangle = 180° , that is
y + y + 72° = 180°
2y + 72° = 180° ( subtract 72° from both sides )
2y = 108° ( divide both sides by 2 )
y = 54°
Answer:
so the answer is y=54°
Step-by-step explanation:
that is my answer hope it helps
squareroot of 9x+63=x+7
Answer:
x = 2 and - 7 that is the answer
Find the measures of the interior angles of the triangle.
Answer:
∠ A = 59°, ∠ B = 48° , ∠ C = 73°
Step-by-step explanation:
The interior angles of a triangle sum to 180°
sum the 3 angles and equate to 180
x + x - 11 + 73 = 180
2x + 62 = 180 ( subtract 62 from both sides )
2x = 118 ( divide both sides by 2 )
x = 59
Then
∠ A = x = 59°
∠ B = x - 11 = 59 - 11 = 48°
∠ C = 73°
Answer:
<A = 149*
<B = 138*
<C = 73*
Step-by-step explanation:
There are 360* total inside a triangle.
We subtract 73 from 360 to find the combined number of both angles a and b.
360-73 equals 287, so we know that both angles a and b add up to equal 287.
Since angle a equals x and angle b equals x - 11, we would combine the two expressions to find x. When we find x, it will allow us to know what both angles a and b equals to. So we combine x and x- 11, set it equal to 287, and solve for x.
x + x - 11 = 2x-11.
287 = 2x - 11
(Add eleven to both sides)
298 = 2x (divide both sides by two)
X = 149
Since angle a equals x, we know that angle a Is 149*.
And since angle b is x - 11, we take 149, subtract it by 11, and we get 138.
Hawa is going to see a movie and is taking her 5 kids. Each movie ticket costs $15 and there are an assortment of snacks available to purchase for $3 each. How much total money would Hawa have to pay for her family if she were to buy 10 snacks for everybody to share?
Answer:
$120
Step-by-step explanation:
6 tickets and 10 snacks will cost 6($15) +10($3) = $90 +30 = $120.
Hawa will have to pay $120 for her family.
please help me with this and explain
find the equation that passing through the point (4,6) and has a vertex of (2,-3)
Answer:
y = [tex]\frac{9}{4}[/tex] (x - 2)² - 3
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Here (h, k ) = (2, - 3 ) , then
y = a(x - 2)² - 3
To find a substitute (4, 6 ) into the equation
6 = a(4 - 2)² - 3 ( add 3 to both sides )
9 = a(2)² = 4a ( divide both sides by 4 )
[tex]\frac{9}{4}[/tex] = a
y = [tex]\frac{9}{4}[/tex] (x - 2)² - 3 ← in vertex form
Hanna simplified the following math statement. What did she do wrong? Show the correct answer and explain your reasoning.
(6m^3y^2)^4 = 24m^7y^8
Answer:
y=0
Step-by-step explanation:
what i can do in math 10
Answer:
Listen carefully in class take notes go home review, remember to listen carefully in class is very important, and you need a schedule to help you plan your time.
Step-by-step explanation:
Hope it's help
Brainliest pls
Answer:
Definitely pay attention
always ask questions
take a lot of notes
go through your notes
I recommend watching some videos about the math if you're lost
solve some problems in free time to try and understand
what is 4/3 divided by 2/5
Answer:
3 1/3
Step-by-step explanation:
Im smart
Answer:
[tex]\frac{20}{6}[/tex] = [tex]3 \frac{1}{3}[/tex] = 3.333333
Step-by-step explanation:
[tex]\frac{4}{3} /\frac{2}{5}[/tex]
You can't divide a fraction so you kcf ( keep change flip )
[tex]\frac{4}{3} *\frac{5}{2}[/tex]
[tex]\frac{20}{6}[/tex] = [tex]3 \frac{1}{3}[/tex] = 3.333333
Z=3 evaluar -[z-(-z)+z]Por favor alguien que me ayude
HELP NEED ANSWER 20 POINT NO LINKS
Answer:16 perhaps
Step-by-step explanation:
add 4 and 12. also i am sorry if this is incorrect. if its right mark me as brainliest please.
Answer: Equation: 3x+4=12x-14
x=2
Step-by-step explanation:
3x+4=12x-14
18x=9
x=2
please help me out, thank you
Answer: 24
Step-by-step explanation: 180-114=66
66+90=156
180-156=24
Which inequality is represented by the graph?
y > -2/3x + 1
y < -2/3x + 1
y < -3/2x + 1
y > -3/2x+ 1
please help me if you can if your going to say I'm cheating i don't care cause i know I'm not thanks!!
Answer:
Step-by-step explanation:
a.) the maximum is just the vertex
-35/(2*-4.9)= it takes 3.5714 seconds to hit the maximum
which in height is
-4.9*3.5714^2+35*3.5714 +1= 63.5 metres
b.) for this just plug in 2
-4.9*2^2+35*2+1= 51.4 metres
c.) just plug in f(0) =1 meter
d.) find the x intercepts (using the quadratic formula)
[tex]\frac{-35-\sqrt{35^2-4*-4.9*1}}{2*-4.9}=7.17131519096[/tex] seconds
(there is another answer but it doesn't make sense in the context of this question)
125 pounds decreased by 3%
Answer:
121.25lbs
Step-by-step explanation:
First find 3% of 125
125 x 0.03 = 3.75
Now subtract from 125
125 - 3.75 = 121.25
Last year, a gardening store ordered 530,570 potted plants. This year, they ordered 424,456 potted plants. What is the percent of decrease in the number of potted plants ordered annually?
Answer:
last year = 530570
this year = 424456
decreased plants = 530570-424456 = 106114
decreased percent = 106114÷530570×100%
= 20%
therefore 20% is the decrease precent in the number of potted plants ordered anually
Which rule describes the relationship between the x- and y- coordinates on the following graph?
Answer:
[tex]y=x[/tex]
Step-by-step explanation:
Each point has the same y coord as their x, so [tex]y=x[/tex]
Not that the first point works for both equations since it's the intersection between the two
Find the missing length.
60
36
X
The missing length of the given triangle divided into two right-angled triangle is 24.
The ratio 60:36:x is a ratio of 2:1:x. This means that the ratio of the lengths of the three segments is 2:1:x. The first segment has a length of 60, so the second segment must have a length of 1/3 * 60 = 24.
Here is the solution in more detail:
The ratio 60:36:x can be written as 2:1:x.
This means that the ratio of the lengths of the three segments is 2:1:x.
The first segment has a length of 60, so the second segment must have a length of 1/3 * 60 = 24.
Therefore, the missing length is 24.
To learn more about length here:
https://brainly.com/question/32060888
#SPJ2
find the value of a b and c.
Answer:
a= 90
2a= 135
b=45
c= 45
I think x
Step-by-step explanation:
*I need help on number 5 :(
Answer:
1000
Step-by-step explanation:
we have formula total /100* percentage of sand dollars
in triangle abc it is given that AB =9 cm Bc=6cm and Ca = 7.5 cm also
triangle def is given that ef =8 cm and triangle def similar to triangle abc then perimeter of triangle def is
Answer:
Make me as brain liest plz
The perimeter of triangle DEF is; 30 cm
Similar TrianglesWe are given dimensions of Triangle ABC as;
AB = 9 cmBC = 6 cmCA = 7.5 cmThus;
Perimeter of Triangle ABC = 9 + 6 + 7.5 = 22.5 cm
We are told that Triangle DEF is similar to Triangle ABC.
This means that the ratio of corresponding sides must be equal to the ratio of their perimeter.
Side EF corresponds to side BC. Thus;
Perimeter of Triangle DEF/22.5 = 8/6
Cross multiply to get;
Perimeter of Triangle DEF = (22.5 × 8)/6
Perimeter of Triangle DEF = 30 cm
Read more on similar triangles at; https://brainly.com/question/14285697
Sketch the graph of y = (x - 2)2 - 16, then select the graph that corresponds
to your sketch.
A. Graph A
B. Graph B
C. Graph C
D. Graph D
Answer:
B) Graph B
Step-by-step explanation:
The quadratic equation in vertex form is represented by: y = a(x - h)² + k, where:
(h, k) = vertex
x = h : axis of symmetry
a = indicates a reflection in the x-axis; it also determines the graph's vertical stretch or shrink.
a > 0 the graph opens up.a < 0: the graph opens down.h = indicates a horizontal translation.
k = indicates a vertical translation.
Given the given quadratic equation, y = (x - 2)² - 16:
The vertex occurs at point, (2, -16), and a = 1. Since the value of a is positive, then it implies that the graph opens upward, and the vertex is its minimum point. The axis of symmetry occurs at h = 2.
To determine another point to use as a reference (and also for graphing) is solving for the equation's y-intercept, which is the point where it crosses the y-axis (where x = 0).
Y-intercept: set x = 0:
y = (x - 2)² - 16
y = (0 - 2)² - 16
y = (-2)² - 16
y = 4 - 16
y = -12
Therefore, the y-intercept is (0, -12).
Therefore, the graph that matches these given descriptions is Graph B.
Attached is the graphed quadratic equation where it shows the vertex, y-intercept, and the axis of symmetry.
expand the linear expression 8(5x - 2)
Answer:
40x - 16
Step-by-step explanation:
1. Multiply out: 8 x 5x = 40x, 8 x -2 = 16
2. Put together: 40x - 16
Answer:
40x - 16
Step-by-step explanation:
This task is an application of the Multiplicative Property. Multiply each of the two terms inside parentheses by 8, obtaining
8(5x - 2) = 40x - 16
will give 20 points to whoever can answer all of the questions.
Here you go sry it took so long
All the answers to the various operations given from question 1 to 6 have been explained and answered below.
1) We want to use order of operations to solve;
105 - 7² + (72 ÷ 9)
From order of operations which is BODMAS.
First operation for our given expression is bracket. Thus;
72 ÷ 9 = 8
Thus, we now have;
105 - 7² + 8
Next is addition;
7² + 8 = 57
Thus, we now have;
105 - 57 = 48
2) 884284
- 349407
534877
3) 6 ÷ ²/₇
⇒ 6 × ⁷/₂
⇒ 21
4) Kevin makes $78.37 per day. Thus;
Amount he makes in 7 days = 78.37 × 7
⇒ $548.59
5) Product of 1389 and 6.58
⇒ 1389 × 6.58
⇒ 9139.62
6) We want to use distributive property to express 27 + 60.
Now, in distributive property, it implies that;
a(b + c) = ab + ac
Thus, let us get the greatest common factor of 27 and 60 and factorize it out.
GCF of 27 and 60 is 3. Thus;
27 + 60 = ((3*9) + (3*20))
⇒ 3(9 + 20)
⇒ 3(29)
⇒ 107
Read more at; https://brainly.com/question/16267305
CAN SOMEONE PLEASE HELP ASAP I WILL GIVE 30 POINTS AND MARKED AS BRAINLIEST
Answer:
it's the middle one
Step-by-step explanation:
please help
Math Ángles equation
60+55=y
y=115
now x=180-Y( as being liner pair)
therefore=x=180-115=65
Step-by-step explanation:
two interior angles are equal to exterior angle
so 60+55=y
y=115
now x=180-Y( as being liner pair)
therefore=x=180-115=65