Answer:
Option B is correct
Step-by-step explanation:
Doug is x years old, so Byron is x+3 years old. The product of their ages would then be x times x+3:
x(x+3) = 40
x2 + 3x = 40
x2 + 3x + 40 = 0
Now, factor the equation:
(x+8)(x-5) = 0
Then, solve for both values of x:
x+8 = 0
x = -8
x-5 = 0
x = 5
As no one can have a negative age, we simply disregard x=-8 as invalid. Therefore, Doug is 5 years old & Byron must be 5+3 - or 8 years old.
Hope it is helpful...Answer:
Doug is 10 years old; option A
Step-by-step explanation:
set up expressions using the information you already know:
B (byron)
D (doug)
B = D + 3
B * D = 40
you can now solve by plugging in an expression for the variable B in the second equation.
D + 3 * D = 40
D + 3D = 40
(combine like terms)
4D = 40
(divide by 4 on both sides to isolate the variable and balance the equation)
4D/4 = 40/4
D = 10
So, the answer is A; Doug is 10 years old
Can someone help me with this question please
A cuboid has 3 different sized faces. The areas of 2 of the faces are 84cm2and 56cm2. The volume of the cuboid is 672cm3. Find the length, width and height of the cuboid and the area of the third face.
Answer:
Length: 12 cm
Width: 8 cm
Height; 7 cm
Step-by-step explanation:
We are told that the areas of 2 of the faces are 84cm² and 56cm².
Now, the side faces are 4 in total with 2 each having same areas.
Thus, it means they would have the same height.
Let's find the highest common factor between 84cm² and 56cm².
The highest number that can be divide each equally is 7.
Thus;
12 × 7 = 84 cm²
8 × 7 = 56 cm²
This means, the bottom part will measure 12 cm by 8 cm.
Thus, the complete measurement is;
Length: 12 cm
Width: 8 cm
Height; 7 cm
Let's check if it will give us a Volume equal to that given.
Thus;
Volume = 12 × 8 × 7 = 672 cm²
This is same as that given and so our dimensions are correct.
Does this graph represent a function? Why or why not?
Answer:
B yes
Step-by-step explanation:
As long as a verticle line intercepts the graph at no more than one point it is a function
Answer:
B. Yes, because it passes the vertical line test
Step-by-step explanation:
no x values are repeated
Solve for y.
-24 = -8y
Simply your answer as much as possible.
Answer:
Y=3
Step-by-step explanation:
-8 times 3 equals -24
Answer:
y = -3
Step-by-step explanation:
-24 = 8y
Divide both side by 8
-24/8 = 8y/8
-24/8 = y
divide -24 by 8 to get -3
-3 = y
rewrite ..( optional )
y = -3
What is the surface area?
5 ft
4 ft
5 ft
6 ft
5 ft
square feet
Answer:250 ft
Step-by-step explanation:
5 ft x 4 ft = 20
5 ft x 6 ft = 30
20 + 30 = 50
50 x 5 ft = 250 ft
I hope this helps and if its wrong im sorry
Which of the following functions is graphed below
Answer:
wachiwachiwachiwawawa
What is the solution to the linear equation?
2.8y + 6 + 0.2y = 5y – 14
Answer:
2y +3x
Step-by-step explanation:
sjsjdjdsndnjssje
I need help with this I don’t understand.
Answer:
the added degree of m1 and m2 equal m4
PLS HELP In the diagram below, ΔPQR ≅ ΔSTR. Complete the statement ∠P ≅ ___
A. ∠S
B. ∠PRQ
C. ∠T
D. ∠PQR
geometry geometry geometry geometry geometry geometry help me pleasee
Answer:
Step-by-step explanation:
take 74 degree as reference angle
using cos rule
cos 74 =adjacent/hypotenuse
0.275=x/12
12*0.275=x
3.3=x
take 36 degree as reference angle
using sin rule
sin 36=opposite/hypotenuse
0.587=x/11
0.587*11=x
6.457=x
6.5=x
take 39 degree as reference angle
using tan rule
tan 39=opposite/adjacent
0.809=13/x
x=13/0.809
x=16.06
x=16.1
take 16 degree as reference angle
using tan rule
tan 16=opposite /adjacent
0.286=x/14
0.286*14=x
4.00=x
4.0=x
x=
Solve using suitable property and name the property applied. 3/5 x 35/24 + 15/6 x 3/5
Seriously I haves to do this again pls answer for real
And sure I do have 1106 points left but still stop wasting peoples time
The scale factor of the enlarged image of a bug is 1:0.125. The diagram measures 16mm, what is the actual length
Answer:
it is 2mm long
Step-by-step explanation:
16x0.125=2 so it is 2mm long
A bakery offers a sale price of $2.75 for 3 muffins. What is the price per dozen
Answer:
4 muffins is $2.75
4*3=12
1 dozen is 12
2.75 * 3 =$ 8.25
Step-by-step explanation:
What is the slope of the linear function of (6 , 2) (9 , 8)
Answer:
1/2
Step-by-step explanation:
The formula for slope is [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
9-6=3
8-2=6
3/6=1/2
Help pleaseeeeeeeeeeeeeeeeeeeeee
Answer:
The answer is -20.
Step-by-step explanation:
To evaluate the expression, plug x= -3 and y= -5 into the expression. By plugging in the information given from the problem, the expression will look like 4(-3) + 3(-5) + 7.
Next, solve the expression, and the answer will be -20.
A man has a coupon to buy 8 oranges, he already has six, so how many does he have if he uses his coupon to buy 8 more oranges.
Answer:
14 oranges
Step-by-step explanation:
8+6
For 4 weeks, William volunteered as a helper for swimming classes. The first week, he volunteered for 8 hours. He volunteered for 12 hours in the second week, and another 12 hours in the third week. The fourth week, he volunteered for 9 hours. For how many hours did he volunteer per week, on average?
Find the side length, b.
Round to the nearest tenth.
B=90°
a=6
c=7
Answer:
b = 9.2
Step-by-step explanation:
Using the Pythagorean theorem (in your case): [tex]a^{2} +c^{2} = b^{2}[/tex]
Plug in your values and solve for x:
[tex]6^{2}+7^{2} =b^{2}\\36+49 =b^{2} \\85 = b^{2} \\b = \sqrt{85} \\b = 9.2[/tex]
can you solve this? explian your reasoning. 2 6 3 9 6 18 15. What number comes next?
Answer:
The number of the sequence are 2, 3, 6, 15
The difference between 2 and 3 is 1 i.e. 30.
The difference between 3 and 6 is 3 i.e. 31.
The difference between 6 and 15 is 9 i.e. 32.
Let the next number in the given sequence be some natural number x.
Now, following the pattern, the difference between 15 and x has to be equal to 33=27.
i.e.
x−15=27⟹x=27+15=42
Hence
The next number in the sequence is 42.
Pls help quicky! I will also give a brainliest!!!!!
Answer:
A) 7.12
Step-by-step explanation:
Simply, subtract 10.52 by 3.4 to get your answer or plug in each answer until you get 10.52
Hope this helps, good luck! :)
How do you find the equations of the vertical and horizontal asymptotes for a graph when you only have the graph and no function?
Answer:
See below for answer and explanations (as well as an attached graph)
Step-by-step explanation:
Pay attention to the behavior of the asymptotes. If the asymptotes are approaching a certain x-value or y-value, then that value is undefined for the function.
Take for example [tex]y=\frac{1}{x}[/tex]:
As x approaches ∞ and -∞, then y approaches 0, which is our horizontal asymptoteAs y approaches ∞ and -∞, then x approaches 0, which is our vertical asymptoteSee the graph for a visual.
The axis of symmetry for a function in the form f(x) = x2 + 4x − 5 is x = −2. What are the coordinates of the vertex of the graph?
(−9, −2)
(−17, −2)
(−2, −17)
(−2, −9)
Answer:
D) [tex](-2,-9)[/tex]
Step-by-step explanation:
Vertex Form of a Vertical Parabola:
[tex]y=a(x-h)^2+k[/tex]
Vertex -> [tex](h,k)[/tex]
Axis of Symmetry -> [tex]x=h[/tex]
Vertical Scale Factor -> [tex]a[/tex]
To turn [tex]f(x)=x^2+4x-5[/tex] into vertex form, we need to complete the square on the right sideTherefore, if [tex]f(x)=0[/tex], then [tex]0+9=x^2+4x-5+9[/tex] completes the square on the right side This becomes [tex]9=(x+2)^2[/tex]This means that our function in vertex form is [tex]f(x)=(x+2)^2-9[/tex]Therefore, the vertex of the graph is [tex](h,k)=(-2,-9)[/tex].
The coordinates of the vertex of the graph is (-2, -9).
What are Quadratic Functions?Quadratic functions are polynomial functions consisting of variables and exponents and the degree of the variable is 2.
The general form of a quadratic function is f(x) = ax² + b x + c.
Given is a quadratic function,
x² + 4x - 5
Given that axis of symmetry of the function is x = -2.
So the x coordinate of the vertex = -2.
y coordinates = f(-2) = 4 - 8 - 5 = -9
Hence the vertex is (-2, -9).
Learn more about Vertex form here :
https://brainly.com/question/13921516
#SPJ5
Please help...*puppy eyes*
(Will pick brainliest)
Step-by-step explanation:
Note that the denominators in the expression are perfect squares:
[tex] {x}^{2} - 5xy + 6 {y}^{2} = (x - 2y)(x - 3y)[/tex]
[tex] {x}^{2} - 4xy + 3 {y}^{2} = (x - y)(x - 3y)[/tex]
[tex] {x}^{2} - 3xy + 2 {y}^{2} = (x - y)(x - 2y)[/tex]
We can then write the given expression as
[tex] \frac{1}{ {x}^{2} - 5xy + 6 {y}^{2} } + \frac{a}{{x}^{2} - 4xy + 3{y}^{2} } + \frac{1}{{x}^{2} - 3xy + 2{y}^{2}}[/tex]
[tex] \frac{1}{ {x}^{2} - 5xy + 6 {y}^{2} } + \frac{a}{{x}^{2} - 4xy + 3{y}^{2} } + \frac{1}{{x}^{2} - 3xy + 2{y}^{2}}[/tex]
[tex] = \frac{1}{(x - 2y)(x - 3y)} + \frac{a}{(x - y)(x - 3y)} + \frac{1}{(x - y)(x - 2y)}[/tex]
[tex] = \frac{(x - y)(x - 2y) {(x -3y)}^{2} + a {(x - y)}^{2} (x - 2y)(x - 3y) + (x - y){(x - 2y)}^{2}(x - 3y) }{ {(x - y)}^{2} {(x - 2y)}^{2} {(x - 3y)}^{2} } [/tex]
This is just for people to get points!! Whats 10 x 10?
Answer:
is equls to 100 Brainliest 6
can someone please help me?
SOMEONE PLSSSS HELP!!!!!!!
Answer:
you can use desmos
Step-by-step explanation:
for example put x=88
and do the same with the rest
then put x+y+z and you will get your answer
Hey, Could you help me? Thank you
HURRY HELP.. whats the indicated measure
Answer:
< ABE = 109
Step-by-step explanation:
Angle Formed by Two Chords = 1/2(SUM of Intercepted Arcs)
< ABE = 1/2 ( 38+ 180)
< ABE = 1/2( 218)
< ABE = 109
SIMPLIFY USING THE DISTRIBUTIVE PROPERTY OF RATIONAL NUMBERS
1/5+ (2/5+3/5)
Answer:
6/5
Step-by-step explanation:
1/5 + (2/5 + 3/5)
solve for the bracket first
1/5 +(2+3/5)
1/5 + (5/5)
1/5 + 1
1+1*5/5
6/5
another method
1/5 + (2/5 +3/5)
open brackets)
1/5 + 2/5 + 3/5
since their denominator are same u can add their numerator
1+2+3/5
6/5
