The value of f(-1) is "37".
synthetic division:[tex]\to f(x)=-x^2-8x+30\\\\\to x=-1\\\\\to f(-1)=?[/tex]
[tex]\to f(x)=-x^2-8x+30\\\\\to f(-1)=-(-1)^2-8(-1)+30\\\\\to f(-1)=-1+8+30\\\\\to f(-1)= 7+30\\\\\to f(-1)= 37\\[/tex]
Therefore, the final answer is "37".
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You have $20 to spend at the dollar store for Jake and Julian's birthdays. You want to buy 2 sodas for Jake, 4 candy bars for Julian, and an equal number of balloons b for them both with the rest of your money. Which equation below will determine how many balloons each friend receives?
Answers
2+4+b/2 =20
2+4+b =20
2+4+2b =20
20-4-2 =b
2(2+4+b) =20
Using a system of equations, the equation that determines how many balloons each friend receives is given by:
2 + 4 + 2b = 20.
What is a system of equations?A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
For this problem, the variables are given as follows:
Variable s: number of sodas bought.Variable c: number of candy bars bought.Variable b: number of balloons bought.You want to buy 2 sodas for Jake, 4 candy bars for Julian, hence:
s = 2, c = 4.
An equal number of balloons b, hence 2b is added to the equation, as the amount has to be 2, 4, 6, and so on, considering one balloon for each.
The total amount of money is of $20, hence the equation is:
2 + 4 + 2b = 20.
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what is 12 34/100 written in standard form?
Answer:
12 17/50
Step-by-step explanation:
Divide the numerator and denominator by 2 to get 12 17/50 which is in standard form.
The 17 and 50 can not be simplified anymore so it is in its simpliest form (standard form).
Standard form definition: A fraction is said to be in standard form when both the numerator and denominator are co-prime numbers.
Co-prime numbers definition: Co-prime numbers are those numbers that have only one common factor, namely 1.
Hope this helps :)
PLEASE HELP FAST! Solve for Y in the following system of equations!
X-y=-1
3x+5y=21
A.) 2
B.) 3
C.) 9
D.) 12
Answer:
B.) 3
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Algebra I
Solving systems of equations using substitution/eliminationStep-by-step explanation:
Step 1: Define Systems
x - y = -1
3x + 5y = 21
Step 2: Rewrite Systems
x - y = -1
Add y to both sides: x = y - 1Step 3: Redefine Systems
x = y - 1
3x + 5y = 21
Step 4: Solve for y
Substitution
Substitute in x: 3(y - 1) + 5y = 21Distribute 3: 3y - 3 + 5y = 21Combine like terms: 8y - 3 = 21Add 3 to both sides: 8y = 24Divide 8 on both sides: y = 3what is the upper and lower bound of 0.82
Answer:
What ?
Step-by-step explanation:
what is 3n - (2+n) if N is equal to 6?
Answer:
22
Step-by-step explanation:
but be more especific
As an estimation we are told 5 miles is 8 km.
Convert 57.5 miles to km.
Answer:
5 miles=8km
1miles=8/5=1.6km
57.5 miles=(57.5×1.6)km
=92km
The measures of the angles of a triangle are shown in the figure below. Solve for x
Answer:
7
Step-by-step explanation:
The angles that we are sure about is 33 and 90. The angles of a triangle add up to 180. 33 + 90 = 123. 180 - 123 = 57. 57 = 7x+8, 49 = 7x, x = 7.
Answer:
x = 7
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Geometry
All angles in a triangle add up to 180°Step-by-step explanation:
Step 1: Set Up Equation
33° + 90° + (7x + 8)° = 180°
Step 2: Solve for x
Combine like terms: 7x + 131 = 180Isolate x term: 7x = 49Isolate x: x = 7What is the slope of the line ?
Answer:
[tex]m=\frac{8}{5}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Find points from graph.
Point (-4, -4)
Point (1, 4)
Step 2: Find slope m
Substitute [Slope Formula]: [tex]m=\frac{4+4}{1+4}[/tex]Add: [tex]m=\frac{8}{5}[/tex]Graph a line that contains the point (6,-5) and has a slope of -2/3
Answer:
The line to graph is y=-[tex]\frac{2}{3}[/tex] -1
Step-by-step explanation:
In order to graph the line, it needs to be in slope-intercept form. We can make an equation in slope intercept form by using the point-slope form, which is y-y₁=m(x-x₁).
1. Plug info into point-slope form:
y-(-5)=-[tex]\frac{2}{3}[/tex](x-6)
2. Simplify:
y+5=-[tex]\frac{2}{3}[/tex] x+4
3. Simplify even further:
y=-[tex]\frac{2}{3}[/tex] -1
To graph the line, make a point a (0,-1). From here, go down 2 points and to the right 3 points. Continue the pattern and connect the points with a line.
Does anyone know what the solution to −1.3≥2.9−0.6r is??
Answer:
yes its r>7
Step-by-step explanation:
-1.3>2.9-0.6r subtract 2.9 on both sides and do KCC keep change change
-2.9 -2.9
__________
-4.2>0.6r
________ divide by -0.6 on both sides to get
.6 .6
________
7<r or r>7 either way is fine
graph the following state and show the a h and k values.
y=2(x+3)^2-4
A recipe uses 1/3 cup of flour and 1/8 cup of sugar.How much flour and sugar does the recipe use altogether?
Answer:
11/24
Step-by-step explanation:
Just add 1/3 and 1/8 to get the answer. To add or subtract any pair of fractions they must have the same denominator. To change them, find the least common multiple of the two denominators (3 and 8). The least common multiple of 3 and 8 is 24. Now multiply the denominator by a number that’ll make it into the least common multiple. The 3 in 1/3 should be multiplied by 8 to make it into 24. The 8 in 1/8 should be multiplied by 3 to make into 24. The number that you use to multiply each denominator should also be used to multiply the numerator of that fraction. 1/3 for example, becomes 8/24. 1/8 becomes 3/24. Finally add the numerators of both numbers and keep the same denominator which equals 11/24.
a box of cereal should have a mass of 397 g the quality control inspector measures the mass of every fiftieth box the inspector rejects any box that is not within 10 g of the ideal mass
How do you get from one number to the next using multiplication or division?
From 100 to 106.
We can move from 100 to 10^6 by multiplying with 10^4.
How do you use multiplication?We know that it is possible to move from one value to another by the use of multiplication or division. Now in either case, there is a value that we have to us to multiply or divide another number order to move from one number to another.
Now we have the number 100 and we want to change it to 10^6. The implication of this is that the number 100 must have to be multiplied by the number 10^4 in order to arrive at the expected destination.
Thus;
100 * 10^4 = 10^6
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how to solve this 2x+x-4y
Answer:
Combine like terms
2 + − 4
3x − 4y
Answer:
[tex]3x-4y[/tex]
Step-by-step explanation:
[tex]2x+x-4y[/tex]
If a term doesn't have a coefficient , it is considered that the coefficient is 1
[tex]2x+1x-4y[/tex]
Why is it considered that the coefficient is 1?
Remember that any term multiplied by 1 remains the same:
[tex]1.x=x[/tex]
Step 1
The equality can be read in the other way as well , so any term can be written as a product of 1 and itself:
[tex]x=1 . X \\[/tex]
Step 2
Usually, we don't need to write multiplication sign between the coefficient and the variable , so the simpler form is:
[tex]x=1x[/tex]
That is why we can write the term without the coefficient as a term with coefficient 1.
Let's go back to your problem now
Collect like terms by adding their coefficients
[tex](2+1)x-4y[/tex]
Add the numbers
[tex]3x-4y[/tex]
PLEASE MARK ME AS BRAINLIEST
As you want. She bought 10 ounces of spicy popcorn for $2.50. When writing your answer write it as a whole number or a decimal. A) How much does popcorn cost per ounce? The cost per ounce is dollars. B) How much popcorn can you buy per dollar? You can buy ounces of popcorn per dollar. C) Write two different equations that represent this situation. Use pp for ounces of popcorn and cc for cost in dollars. The first equation is and the second equation is
Answer:
A. $0.25 per ounce
B. 4 ounces per dollar
Step-by-step explanation:
As you want. She bought 10 ounces of spicy popcorn for $2.50. When writing your answer write it as a whole number or a decimal.
A) How much does popcorn cost per ounce? The cost per ounce is dollars.
10 ounces of spicy popcorn = $2.50
1 ounce of spicy popcorn = x
Cross Multiply
10 ounces × x = $2.50
x = $2.50/10 ounces
x = $0.25 per ounce
B) How much popcorn can you buy per dollar? You can buy ounces of popcorn per dollar.
$2.50 = 10 ounces of spicy popcorn
$1 = x ounce of spicy popcorn
Cross Multiply
$2.50 × x = 10
x = 10/2.50
x = 4 ounces per dollar
C) Write two different equations that represent this situation. Use pp for ounces of popcorn and cc for cost in dollars. The first equation is and the second equation is
Answer both questions please! [ Brainliest ]
-
1. The measure of an angle is 63.5°. The measure of its supplementary angle is ___
degrees.
2. The measure of an angle is 64°. The measure of its complementary angle is ___
degrees.
Answer:
1. 116.5 degrees
2. 26 degrees
Which way will water move in this example shown below?
The water will not move
Water will move into the cell
The water will evaporate
The water will move out of the cell
Answer: it will move down.
Step-by-step explanation:
because of gravity.
10. A washing machine repairer charges a total of £T for a repair which takes H hours. The formula
connecting T and H is
T = 35 + 20H.
Find H when T is 85.
The value of H when T is 85 is 2.5 hours which is calculated from the linear equation in two variables.
The linear equation in two variables is defined as an equation which defines the relationship between two unknown variables.
The general form of linear equation is of the form ax + by = c where a and b are constant co-efficient and c is a constant. Here y is the dependent variable and x is the independent variable.The graph of a linear equation in two variables is a straight line in the cartesian plane.Given the linear equation for total amount of money(T) which is the dependent variable using the independent variable H(number of hours worked) .
T=35 + 20 H
At T = 85 , we substitute the value of T in the linear equation to find H .
T=35 + 20 H
or, 85 = 35 + 20H
or, 50=20H
or, H=2.5
Therefore the value of H is 2.5 hours when T is 85.
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A 6-meter wire will be cut into pieces that are each 0.15 meter in length. A 3-meter rope will be cut into pieces that are each 0.25 meter in length.
How many more pieces of wire than pieces rope will there be?
Answer:
that will be 40(wire)-12(rope)=28parts
Step-by-step explanation:
6meter wire div by 0.15 eq to 40
3meter rope div 0.25 eq to 12
so we use 40-12=28parts
The historical records state that the long-lost temple of the sun had a perimeter of about 220 meters and an area of about 2,100 square meters. Do you think the archaeologists actually discovered the lost temple?
Answer:
The archaeologists dis not actually discovered the lost temple
Step-by-step explanation:
For us to be able to determine if the archaeologist actually discovered the lost temple, we need to find the dimension of the temple first.
Area of the temple = LW
Perimeter = 2L + 2W
L is the length
W is the width
If the perimeter is 220m
220 = 2L + 2W
110 = L+W ... 1
If the area is 2100 square meters
A = LW
2100 = LW ... 2
From 1;
L = 110 - W .... 3
Substitute 3 into 2
From 2;
2100 = LW
2100 = (110-W)W
2100 = 110W - W²
- W² + 110W - 2100 = 0
W² - 110W + 2100 = 0
Using the general formula;
W = -(-110)±√(-110)²-4(1)(2100)/2
W = 110±√3700/2
W = 110±60.83/2
W = 110±60.83/2
W = 110+60.83/2 and W = 110-60.83/2
W = 170.83/2 and 49.17/2
W = 85.415m and 24.585m
Substitute the width into the formula to get the length;
LW = 2100
L = 2100/W
L = 2100/85.415
L = 24.59 m
If the width is 24.585m;
L = 2100/24.585
L = 85.42m
Since we have different dimension of the temple, this show shat the archaeologists dis not actually discovered the lost temple
Find the constant rate of change from the table
Answer:
going on by 2 every
Step-by-step explanation:
HELP ASAP!! GIVING BRAINLY
Answer:
1) D
2)A
Step-by-step explanation:
Number 1) Don’t get confused with the -10 and 10, we already know that the value is already 20 so that narrows it to 2 choices. Now everytime you move on, it subtracts 10 so its 20:-10
Number 2) This one is pretty easy, we know that he drives about 12,000 miles a year but we don’t know how many years, so that unknown variable would be (x), now the 40,000 miles was already on it so that can’t change, only The years change so therefore the equation could be 12,000x+40,000
Please, giving all my points.
Combine and Simplify 48 (1/4x - 1/3y - 2/6x - 3/8y - 2/3)
WRITE 2 WAYS
Answer: -4x-34y-32
(I think this is right but I am not completely sure... if its not I am sorry :/ )
Step-by-step explanation:
First Way:
48 (1/4x - 1/3y - 2/6x - 3/8y - 2/3)
48[(6/24x-8/24x)-(8/24y+9/24y)-2/3]
48(-2/24x-17/24y-2/3)
48(-1/12x-17/24y-2/3)
-4x-34y-32
Second Way:
48 (1/4x - 1/3y - 2/6x - 3/8y - 2/3)
12x-16y-16x-18y-32
-4x-34y-32
Which type of transformation is describe by (x,y) and (x+2,y+3)?
Answer:
fing the variable that is what u need
Please Help!!
7 times a number minus the number is -48 find the number
which one is it??? plz answer fastttttttt
Answer:
The last one (8.6x10^-2)
!!NEED HELP!!
The formula a subscript n = 10 - 4n describes an arithmetic sequence. What are the first four
terms in the sequence?
A)6, 2, -2,-6
B) 6,2,0,-2
C)10, 6, 2,-2
D)14, 18, 22, 26
Answer:
A)6, 2, -2,-6
Step-by-step explanation:
a(n) = a +(n-1)d
a(n) = a +dn-d
a(n) = a-d + dn
a(n) = 10 - 4n
So d=-4
to get a: (a-d)=10
a=10-4=6
The first four terms:
a(1) = 6 +(1-1)-4=6
a(2) = 6 +(2-1)-4=2
a(3) = 6 +(3-1)-4=-2
a(4) = 6 +(4-1)-4=-6
it will be A
hope this helps
A clothing factory produces 4 boxes of jackets every 3 days. At this rate, how long will it take the factory to produce 24 boxes of jackets? brainliest can be given if your quick!
Answer:
6 days to produce
Step-by-step explanation:
24÷4=6 days
The number of days that it will take the factory to produce 24 boxes of jackets is 6 days.
Calculation of the no of days:Since A clothing factory produces 4 boxes of jackets every 3 days.
Here the number of days should be
[tex]= 24\div 4[/tex]
= 6 days
Therefore, The number of days that it will take the factory to produce 24 boxes of jackets is 6 days.
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Work out the equation of a line which has a gradient of 3 and passes through the point (-1,3)
The equation of line is given as : y = 3x + 6
According to the question we have been given that the line passes through the points (-1,3) and has gradient 3
We need to find the equation of line. The general form of slope intercept form is
y = mx + c
where, m = slope
c = intercept
When a point and slope is given then the expression for the equation of line is given as:
[tex](y - y_{1})=m(x-x_{1})\\[/tex] (1)
where (x1,y1) are the coordinates which is (-1,3)
m = slope or gradient = 3
Putting the required values in equation (1) we get
(y-3) = 3(x+1)
y-3 = 3x + 3
y = 3x + 6
Hence the equation of line is given as : y = 3x + 6
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Answer: y=3x+6
Step-by-step explanation: