Answer: 14
Step-by-step explanation:
x + 9 = 23
-9 -9
x = 14
Sundas is making homemade greeting cards. The data table below represents the amount she spends in dollars, f(x), in terms of the number of cards she makes, х T(x) 4 7.50 6 9 9 11.25 10 12
Brainliest please if correct
the function that best represents the data is y = 0.75x + 4.5. The slope in this case represents the increase in the amount she spends in $ due to the number of cards she makes. The intercept with the Y axis (4.5) means that she has an expense of 4.5 $ without having made any card yet.
What are the ordered pairs of the
solutions for this system of equations?
f(x) = x2 – 5x + 3; f(x) = -3
(2, [?]); ( ), ( )
Given that
[tex]f(x) = -3\\\\\implies x^2 -5x +3 = -3 \\\\\implies x^2 -5x +6=0\\\\\implies x^2 - 3x -2x +6 =0\\\\\implies x(x-3) -2(x-3) =0\\\\\implies (x-2)(x-3)=0\\\\\implies x =2~ \text{or} ~ x =3[/tex]
Answer:
(2, - 3 ) and (3, - 3 )
Step-by-step explanation:
f(x) = x² - 5x + 3 and f(x) = - 3 , then equating
x² - 5x + 3 = - 3 ( add 3 to both sides )
x² - 5x + 6 = 0 ← in standard form
(x - 2)(x - 3) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 2 = 0 ⇒ x = 2
x - 3 = 0 ⇒ x = 3
solutions are (2, - 3 ) and (3, - 3 )
tell the number of decimal places that will be in the product
1. 6.3×0.75=___
2. 9.7×48.8=____
3. 5.96×62.15=___
4. 37.6×8.3=____
Answer:
3242Step-by-step explanation:
The number of decimal places in the product is the sum of the numbers of decimal places in the factors.
1. the factors have 1 and 2 decimal places, so the product will have 1+2 = 3 decimal places.
2. 1 + 1 = 2 decimal places in the product
3. 2 + 2 = 4 decimal places in the product
4. 1 + 1 = 2 decimal places in the product
_____
Additional comment
If the factor has m decimal places, the place value of its least-significant digit is 10^-m. Similarly, if the factor has n decimal places, the place value of its least-significant digit is 10^-n. When these numbers are multiplied, the place value of the least-significant digit of the product is (10^-m)(10^-n) = 10^-(m+n). That is, there will be m+n decimal places in the product.
Note that the product in problem 3 is 370.4140. That is, the least-significant digit of the product is zero. Many calculators will not show that zero, giving the (false) impression that the product has only 3 decimal places.
Answer:
4.725
2.473.6
3.370.414
5.312.08
Step-by-step explanation:
Find the 59th term of the arithmetic sequence 26, 17, 8, ...26,17,8,
Step-by-step explanation:
arithmetic sequence means that every new term is created by adding a certain constant to the previous term.
we clearly see, that constant here is -9.
we start with 26.
a1 = 26
a2 = a1 - 9 = 26 - 9 = 17
a3 = a2 - 9 = a1 - 2×9 = 26 - 18 = 8
so, we see
an = an-1 - 9 = a1 - (n-1)×9 = 26 - (n-1)×9
a59 = 26 - 58×9 = -496
If y=-2 then 2y-1 equals
Answer:
-5
Step-by-step explanation:
Plug the first equation into the expression
2y-1 = 2(-2) - 1 = -4 - 1 = -5
Answer:
-5
Step-by-step explanation:
2y - 1
2(-2) - 1
-4 - 5
-5
Marco is making a kite, using sticks for its diagonals. One stick is 2 feet long and the other is 3 feet long. How much material will Marco need to make the kite? 2 square feet 3 square feet 4 square feet 6 square feet.
Answer:
3 square feet
Step-by-step explanation:
Got it right because of the answer above :)
Marco will need 3 square feet of material to make the kite.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
We can use the formula for the area of a kite, which is:
A = (1/2) x d1 x d2
where d1 and d2 are the lengths of the two diagonals.
In this case,
d1 = 2 feet, and d2 = 3 feet.
Substituting these values into the formula, we get:
A = (1/2) x 2 feet x 3 feet
= 3 square feet
Therefore,
Marco will need 3 square feet of material to make the kite.
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ7
A number pattern was created by subtracting 28 from the previous term. If the starting value for the pattern was 117, which of the following shows the resulting pattern?
A.
117, 89, 61, 5...
B.
117, 89, 61, 33...
C.
117, 89, 63, 5...
D.
117, 89, 63, 33..
Answer:
B. 117, 89, 61, 33...Step-by-step explanation:
Starting point is 117 and common difference is - 28.
The first 4 terms are:
117117 - 28 = 8989 - 28 = 6161 - 28 = 33Correct sequence is B
Two types of binocular depth cues are __________ and __________. A. Motion parallax. . . Pictorial depth cues B. Convergence. . . Retinal disparity C. Motion parallax. . . Retinal disparity D. Convergence. . . Pictorial depth cues Please select the best answer from the choices provided A B C D.
Answer:
D. Convergence hope it helps
What is the value for y?
Enter your answer in the box.
y=
Answer:
28
Step-by-step explanation:
Answer:
y = 28Step-by-step explanation:
the sum of the internal angles of a triangle is 180 °, from the equal sides it is understood that it is isosceles, therefore it has 2 sides and two equal angles (angle A and angle B) so both A and B are 34 °, x - 5 = 34 °
we find the value of 4y
180 - 34 - 34 = 112
now we find the value of y
4y = 112°
y = 112 : 4
y = 28
the store marked up the shirt by 20% the original shirt cost $40 how much does the new shirt cost
Answer:
48
Step-by-step explanation:
First find the amount of the markup
40 * 20%
40 *.2
8
Add this to the original price
40+8 = 48
Which number is a zero of the given function?
g(x) = (x^2– 36) (x + 7)
The zeros of the function g(x) = (x² - 36)(x + 7) are x = 6 and x = -6.
To find the zeros of the function g(x) = (x² - 36)(x + 7), we need to identify the values of x that make the entire function equal to zero.
For a function to be equal to zero, at least one of its factors must be zero. Therefore, we set each factor to zero and solve for x:
Setting the first factor, x² - 36, to zero:
x² - 36 = 0
Now, add 36 to both sides of the equation:
x² = 36
Next, take the square root of both sides:
x = ±√36
x = ±6
Setting the second factor, x + 7, to zero:
x + 7 = 0
Now, subtract 7 from both sides of the equation:
x = -7
The zeros of the function g(x) = (x² - 36)(x + 7) are x = 6 and x = -6.
Learn more about zeros of the function from the link given below.
https://brainly.com/question/31654189
#SPJ2
PLEASE ANSWER THIS ASAP THE ONES I GOT WRONG PLEASE TELL ME THE RIGHT ANSWER
Answer:
for line b - the slope is 0, not undefined. an undefined slope is a vertical line.
for line d - the slope is -1/3. slope is written rise over run, so just count the units that it goes down and how many it goes right. it goes down 1 and right 3, so it is -1/3.
SIMPLE INTEREST:
Jessie deposited P150,000 in an account that pays 3% simple interest.How much interest will he earn after 10 years?
Answer:
use the formula( I=PTR/100)
Find the slope line (3,-8) and (-5,2)
Answer:
y2 - y1 / x2 - x1
-8 - 2 / 3 - (-5)
-10 / 8
-5 / 4
Solve for m.
13m – 34m + 42m - 22m + 8 = -41
Answer:
m=14
Correct me if I'm wrong ^•^
Answer:
m = -49
Explanation:
Combine like terms
13m - 34m + 42m - 22m + 8 = -41
-m + 8 = -41
Subtract 8 from both sides of the equation
-m + 8 = -41
-m + 8-8 = -41 -8
Simplify
Subtract the numbers
-m = -49
Which is the function represented by the table?
Answer:
its the first one on the list bc when x is 0 you get f(x) = 1 and thats the only fjnction that does that with all of them.
Answer:
f(x) = - 2x + 1
Step-by-step explanation:
The equation of a linear function in slope- intercept form is
f(x) = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 1, 3) and (x₂, y₂ ) = (2, - 3) ← 2 ordered pairs from the table
m = [tex]\frac{-3-3}{2-(-1)}[/tex] = [tex]\frac{-6}{2+1}[/tex] = [tex]\frac{-6}{3}[/tex] = - 2
The function crosses the y- axis at (0, 1 ) ⇒ c = 1
f(x) = - 2x + 1
pls help!! will mark as brainliest
Answers:
B:
1. 2
2. 3
3. 1
4. 4
5. 2
C (Leading term):
1. 3x
2. x^4
3. 7
4. x^2
5. 2x^2
C (Degress of the Polynomial):
1. 1
2. 4
3. 0
4. 2
5. 2
P = (x < x <5)
List the element of this set given
Set x<5 = sagutan mo apapapdifuv
work out the equation of the line which has a gradient of 1/2 and passes through the point (-4,2)
Evaluate 64^1/2x
10^-2
Give your answer as a fraction in its simplest form.
[tex](64)^{\tfrac 12} \times 10^{-2}=(8^2)^{\tfrac 12} \times \dfrac 1{10^2}=\dfrac{8}{100} = \dfrac{2}{25}[/tex]
+ 1 x 4
2-
ax + b
can be written as a single fraction in the form
X2 x + 2
x² - 4
where a and b are integers.
x+ 2 x -
Work out the value of a and the value of b.
[tex]2 - \frac{x+1}{x-2} - \frac{x-4}{x+2} = \frac{2(x-2)(x+2)}{(x-2)(x+2)} - \frac{(x+1)(x+2)}{(x-2)(x+2)} - \frac{(x-4)(x-2)}{(x-2)(x+2)} \\= \frac{2(x-2)(x+2)-(x+1)(x+2)-(x-4)(x-2)}{(x-2)(x+2)} \\= \frac{2x^{2} -8-x^{2}-3x-2-x^{2} +6x-8 }{x^{2} -4} \\=\frac{3x+(-18)}{x^{2} -4}[/tex]
so : a = 3 b = -18
ok done. Thank to me :>
solve pls brainliest
Answer:
I=Prt
(I= interest
P=principle amount
r=rate per year in decimal form
t=time period)
●I = Prt
I = 8000×(2/100)×6
I = 8000×0.02×6
I =$960
BRAINLIST PLS
Using the remainder theorem, find F(2) for the polynomial function
F(x) = 3x3 - 5x2 + 13x - 19.
4(x + 3) + 3x = 24
Step by step please
Answer: 12/7
Step-by-step explanation: steps in pic, hope this helps!
Which expression is equivalent to 24 x 2 - 22 x + 5? A(8 x - 5)(3 x - 1) B (8 x + 5)(3 x + 1) C(12 x - 5)(2 x - 1) D (12 x + 5)(2 x + 1)
Answer:
C) (12x-5)(2x-1)
Step-by-step explanation:
12x multiplies 2x to give 24x²
then 12x multiply -1 to give -12x
then -5 multiply 2x to give -10x
then -5 multiply -1 to give 5
that will be 24x²-12x-10x+5
our and =24x²-22x+5
1. A person who weighs 100pounds on Earth weighs 16.5 pounds on the Moon. If a boy
weighs 86pounds on Earth, how much does he weigh on the moon
Answer:
That person would weigh 14.22 lbs.
I'll mark u as brainliest pls help with these 2 questions
Answer:
3, 10
Step-by-step explanation:
1.
5x-1=14 ->
5x=15 ->
x=3.
2.
15+3x=45 ->
3x=45-15=30 ->
3x=30 ->
x=10.
Hope that help! :)
Answer:
1.) x=3
2.)x=10
Step-by-step explanation:
for the first problem you would add 1 to both sides, and you would get 5x=15, then you would divide both sides by by 5 to get x by itself. 5x/5=x and 15/5=3, so x=3. you can also plug it in. 5(3)-1=14
for the second one you wpuld subtract 15 from both sides, and you would get 3x=30. divide both sides by 3 which is x=10. plug it in, 15+3(10)=45.
pls help me find the answer-
Answer:
answer in pic, hope it helps
I need help with dis. (*_*)
Answer:
Uh, okay...
Step-by-step explanation:
A) -40-180=-220
B)-220-175=-395
C)-395-185=-585
D) Sorry I can't read it my eyesight's bad TwT
What will balance two spheres?
RIGHT ANSWER GETS BRAINLIEST PLS HELP
Answer:
1 cylinder
Step-by-step explanation:
cylinder is x, cube is y, and sphere is z
x+y=6z
2x=y
plug in
3x=6z
x=2z
cylinder