The possible rational roots are (a) ±3, (b) ±1, (e) ±5
How to determine the possible roots?The polynomial function is given as:
f(x) = 5x^2 - 3x + 3
Take the factors of the first term and the last term
5 = 1, 5
3 = 1, 3
The rational root is then calculated using:
Roots =±(Factors of 3)/(Factors of 5)
This gives
Roots =±(1, 3)/(1, 5)
Solve the expression
Roots = ±1, ±3/5, ±1/5, ±3
Hence, the possible rational roots are (a) ±3, (b) ±1, (e) ±5
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Please please help me please
Answer:
If the percentage is 20%, the down payment is $177,100
If the percentage is 10%, the down payment is $88,550
Step-by-step explanation:
This is a terrible question, in my opinion, unless they gave more information at the top of the page. A down payment on a house can be anywhere from 3.5% to 20%
Let's go with the 20%
885,500 x 0.20 = 177,100
True or false
You always have to use x and y as your variables when writing
equations for word problems.
Answer:
false
Step-by-step explanation:
you can use whatever letters you want to represent things. x and y make sense that you would use just them for graphing, but if it is a word problem you could have like c for cost or t for time or something
Mike saves $42 a week for 7 weeks. During his 8-day vacation, he plans to spend $8.25 each day for snacks. Which expression shows how much money he will have left?
Answer:
($42 × 7) - ($8.25 × 8)
Step-by-step explanation:
Given that
Mike saves $42 a week for 7 weeks
And, his 8 day vacation, he plans to spend $8.25 each day
We need to find out the expression of how much he would have left
So,
Since the amount $42 is for a week
So for 7 weeks, it would be
= $42 × 7
And, he spends $8.25 each day,
And, for 8 days, it would be
= $8.25 × 8
So, the expression is
= ($42 × 7) - ($8.25 × 8)
Robert paid $41.00 for 4 movie tickets. Each ticket cost the same amount. What was the cost of each movie ticket in dollars and cents? Type in your answer without the '$' sign.
Answer:
10.25
Step-by-step explanation:
hope this helps with the problem
36/9+2/9 fraction adding!!!
Answer: 38/9
Step-by-step explanation: Because the fractions presented already have common denominators, the only thing you need to do in order to solve the problem is add the numerators. 36+2= 38, and you keep your denominator the same when adding fractions (when they are the same).
Question 3 of 35
In O A, AC is congruent to
14.52
с
B
N
G
o
14.52
A. BD
B. GN
C. NO
O D. AO
PLEASE HELP! I HAVE MY STAAR TEST TOMORROW!!!!
Answer:
152
Step-by-step explanation:
blue -- 8 x 2 = 16 x 2 = 32
green -- 8 x 6 = 48 x 2 = 96
red -- 6 x 2 = 12 x 2 = 24
96 + 24 + 32 = 152
April has 5 milligrams of zinc and 0.25 milligrams of copper. How much more zinc does she have than copper?
Answer:
the answer is 4.75
Step-by-step explanation:
5-0.25=4.75
Determining the Length of a Rod
Jorge needs to ship a thin metal rod to a metalworking shop. The only boxes available for shipping are 7-inch cubes. To the nearest inch, what is the length of the longest metal rod that can be sent?
11 inches
12 inches
13 inches
14 inches
The length of the longest metal rod that can be sent in a 7-inch cube box is 12 inches.
To determine the length of the longest metal rod that can be sent in a 7-inch cube box, we need to consider the diagonal of the cube as the maximum length of the rod.
In a cube, the diagonal can be calculated using the Pythagorean theorem. The formula for the diagonal of a cube is:
diagonal = √(side^2 + side^2 + side^2)
Since we know that the cube has sides of 7 inches, we can substitute this value into the formula:
diagonal = √(7^2 + 7^2 + 7^2)
diagonal = √(49 + 49 + 49)
diagonal = √147
diagonal ≈ 12.124 inches
Therefore, the correct answer is:
12 inches
This means that the metal rod should not exceed 12 inches in length in order to fit inside the 7-inch cube box for shipping. Any rod longer than 12 inches would not be able to fit diagonally within the box.
For more such questions on metal rod
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what percent of 16 is 120
what are the inequalities
Answer:
an inequality is a mathematical statement that shows that an expression is lesser than or more than the other.
Dakota earned $8.75 in interest in Account A and $28 in interest in Account B after 21 months. If the simple interest rate is 3% for Account A and 4% for Account B, which account has the greater principal?
so B should be the answer
Step-by-step explanation:
account a would have 16.42 in their account after 21 months and b would have 64.77 after 21 months also
I need help on this question pls help see this A.S.A.P
Answer:
A, E
Step-by-step explanation:
a quadrilateral is a four-sided figure.
it is a square
Sharon filled the bathtub with 38 gallons of water. How many quarts of water did she put in the bathtub?
Answer:
152 US quarts
Step-by-step explanation:
4 x 38 = 152
quarts = 4 of something
Answer:
152
Step-by-step explanation:
38 x 4 = 152
If you flip a coin and roll a six sided die what is the probability that you will flip a heads and roll at least a three
Answer:
1/3
Step-by-step explanation:
H3,H4,H5,H6
p=1/2×1/6+1/2×1/6+1/2×1/6+1/2×1/6
=4×1/2×1/6=1/3
Please help and show work ASAP DUE SPON
Answer:
452.2
Step-by-step explanation:
r x r x h x 3.14 (pi) = 6x6x3.14x4=452.16, rounded to tenth is 452.2
Answer:
452.4in³
Step-by-step explanation:
diameter= 12in.
radius= 12÷2
= 6in.
volume= πr²h
=π×6²×4
= π×36×4
= 113.097336×4
= 452.389
≈ 452.4in³
I need help! would appreciate it
Answer:
X is about 58.41 degrees
Step-by-step explanation:
For this problem, lets use sine, since we have the opposite angle from x and we have the hypotenuse.
Therefore, with the equation for sine, we would get
sin(x) = 23/27
sin(x) = 0.851
Now, since we're solving for an angle, inverse it by adding a -1 to move over the sin.
x = sin-1 23/27
Last, use a calculator to get the answer.
X is about 58.41 degrees
Find the area inside the 26m square and outside the circle. Use 3.14 for π. A circle is fully inside a square with sides of length 26 meters, such that the circle touches the center of each side of the square.
Answer:
A(b) = 145,34 m²
Step-by-step explanation:
Area of the square of side l = 26 m A(s) = l² A(s) = (26)²
A(s) = 676 m²
Areaof the circle of radius r = 13 A(c) = π*(r)² A(c) = π*(13)²
A(c) = 169*π m²
Then the area outside the circle and inside the square A(b), is the difference between the area of the square minus the area of the circle, that is:
A(b) = A(s) - A(c) = 676 - 169*π m²
A(b) = 676 - 530,66 m²
A(b) = 145,34 m²
find the slope of this line
Answer:
4
Step-by-step explanation:
(1,2) (0,-2)
y2 - y1 / x2 - x1
-2 - 2 / 0 - 1
-4 / -1
4
Hey I need help, what is the area of this!
Answer:
12 cm^2
Step-by-step explanation:
Here the base and height of a triangle are given. To find the area, we use the formula A = (1/2)(base)(height), which here is
A = (1/2)(8 cm)(3 cm) = 12 cm^2
Which set of ordered pairs represents y as a function of x?
O {(-4, 0),(-2,2).(-4,-2), (-2, 4),(-4, - 4)}
{(0,4), (1,7),(1,10), (2, 13), (3, 16)}
{(3, 1), (3, 2), (3, 3), (3, 4), (3,5)}
{(3, 3), (-1,-1),(-2,-2), (4,4),(-4,-4)}
I need the answer ASAP!!!
57:50
What is the solution to the equation?
-9
a+53 -
3+53-9
a-
at
9
a
a+
Answer:
a-
Step-by-step explanation:
hi
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Purchasing Math Quiz
QUESTION 1 of 10: The value of inventory for your Restaurant has grown from $635,000 to $742,550. What percentage did it grow by?
a) 12%
b) 1796
c) 2096
O d) 33%
ОООО
Submit
©2021 Knowledge Matter:
Answer:
33%
Step-by-step explanation:
Answer:
17%
Step-by-step explanation:
GOT IT RIGHT
Below. What is m∠1?
m∠1 =
Answer:
m∠1 = 70
Step-by-step explanation:
A line is 180 degrees
The angles of a triangle total to 180 degrees
180 - 101 = 79
79 + 31 = 110
180 - 110 = 70
how do we say the expression in words?
can somebody help me pls rn
Answer:
Step-by-step explanation:
1 Escritura unida
Según la NGLE se unen las palabras que se interpretan como una unidad y en las que, por tanto, la marca de plural solo afecta al último elemento:[1]
el bajorrelieve, los bajorrelieves
la mediapunta, las mediapuntas
En un buen número de casos, el primer elemento puede seguir teniendo individualidad para parte de los hablantes y admitir la marca del plural. La Gramática admite algunos de esos casos, de modo que las dos formas son posibles, que se escribirán unidas o separadas según se dé ese plural o no:
el puercoespín, los puercoespines; el puerco espín, los puercos espines
el arcoíris, los arcoíris; el arco iris, los arcos iris
el medioambiente, los medioambientes; el medio ambiente, los medios ambientes.
el pavorreal, los pavorreales; el pavo real, los pavos reales
La Gramática prefiere, como norma general, la forma en una palabra.
Which of the following phrases describes the expression 12−2x?
A
2 times a number decreased by 12
B
2 decreased by 12 times a number
C
a number times the quantity 12 decreased by 2
D
12 decreased by 2 times a number
Answer:
D
Step-by-step explanation:
it's self explanatory
12 is being decreased by 2x (x is a variable for a number)
cual es el resultado de 5-4(6-12)
Answer:
29
Step-by-step explanation:
5-(4*(6-12))=29
Answer:
La respuesta es 29, espero que esto ayude.
If /\PQR~/\SQT, find the value of x.
Answer:
[tex] \frac{x + 13}{8} = \frac{21}{x - 9} \\ {x}^{2} + 4x - 117 = 168 \\ {x}^{2} + 4x - 285 = 0 \\ (x - 15)(x + 19) = 0 \\ x = 15 \\ x = - 19[/tex]
Find the missing term: (x+3)² = x² + 6x + _____
Answer:
9
Step-by-step explanation:
The formula for (a + b)^2 expands out to: a^2 + 2ab + b^2. In the case of this problem, a equals x and b equals 3. We can substitute to get:
(a + b)^2 = a^2 + 2ab + b^2
(x + 3)^2 = x^2 + 2(x)(3) + (3)^2
(x + 3)^2 = x^2 + 6x + 9
So, the missing term is 9.
Another way to do this is to multiply (x + 3)(x + 3) since it's the same thing:
(x + 3)(x + 3)
x^2 + 3x + 3x +9
x^2 + 6x + 9
By solving this way, you get the same answer.
Answer:
It would be 9.
Step-by-step explanation:
To do this, lets expand the equation (x+3)^2 by turning it into:
(x+3)(x+3)
Now, lets try something called the FOIL method. This is where all of the terms of the equation are multiplied in the order:
1) First
2) Outer
3) Inner
4) Last
So in (x+3)(x+3), each of the first parts of each parentheses box are x's, and x times itself equals x^2 so:
x^2 + ? + ? so far.
Next, with the Outer & Inner parts, they would be x * 3 and 3 * x. With this, you would get 3x and 3x. These can be added to get 6x, the middle part of the equation.
x^2 + 6x + ? so far.
Lastly, for the answer. Time to do the last part of each parentheses box, you would get 3 * 3, which gives you 9.
x^2 + 6x + 9.
The perimeter of a rectangular building is 462 meters. It is 131 meters long. How wide is it?