I need help answering this question
solve the quadratic equation below for the exact values of x.
4x² - 5 = 75
Answer:
x = ±2√5
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
Terms/CoefficientsMultiple RootsStep-by-step explanation:
Step 1: Define
Identify
4x² - 5 = 75
Step 2: Solve for x
[Addition Property of Equality] Add 5 on both sides: 4x² = 80[Division Property of Equality] Divide 4 on both sides: x² = 20[Equality Property] Square root both sides: x = ±2√5Answer:
[tex]4x^{2} = 75 - 5[/tex]
[tex]\sqrt{4x^{2}} = \sqrt{70}[/tex]
[tex]4x/4=8.366600265/4[/tex]
[tex]x=2.1 rounded[/tex]
Step-by-step explanation:
PLEASE HELP I NEED THE ANSWER THANK YOU
Answer:
B
Step-by-step explanation:
HELP 25 POINTS GIVING BRAINLIEST TO WHOEVER GETS IT RIGHT !
Fill in the the table Use the two-way frequency table to complete the two-way relative frequency table which shows the distribution of data with respect to all types of
books. Round your answers to the nearest whole percent
Answer:
Grade 7 -
Fiction: 33%
Non-Fiction: 17%
Total: 50%
Grade 8 -
Fiction: 33%
Non-Fiction: 17%
Total: 50%
Total -
Fiction: 33%
Non-Fiction: 17%
Total: 50%
Conclusions: Everything had the same answer, 33%, 17% , and 50%.
Find the difference: 28y − 16y
A.
12y
B.
10y
C.
-44y
D.
-12y
Answer:
A. [tex]12y[/tex]
Step-by-step explanation:
Subtract like normal 28 - 16 = 12
so then it's 12y
Mike and Sarah are packing boxes at a factory. Mike packs 30 boxes each hour. Sarah packs 15 boxes each hour. How many boxes will each person have packed after an 8 hour shift?
Answer:
Mike= 240 boxes
Sarah= 120 boxes
Step-by-step explanation:
Mike and Sarah are packing boxes at a company
Mike packs 30 boxes each hour, after an 8 hour shift the number of boxes he will pack is
= 30×8
= 240
Sarah packs 15 boxes each hour, afterr an 8 hour shift the number of boxes she will pack is
= 15×8
= 120
Hence after the 8 hours shift Mike will pack 240 boxes while Sarah will pack 120 boxes
State the amplitude and period of f(x) = 3cos9/5t
Answer:
The amplitude is 3 and the period is 10π/9.
Step-by-step explanation:
The standard cosine function is in the form:
[tex]y=a\cos(b(x-c))+d[/tex]
Where |a| is the amplitude, 2π/b is the period, c is the phase shift, and d is the vertical shift.
We have the function:
[tex]f(x)=\displaystyle 3\cos\frac{9}{5}t[/tex]
We can rewrite this as:
[tex]\displaystyle f(x)=(3)\cos\left(\frac{9}{5}\left(t-0\right)\right)-(0)[/tex]
Therefore, a = 3, b = 9/5, c = 0, and d = 0.
Hence, our amplitude is |3| = 3.
Our period will be:
[tex]\displaystyle \text{Period}=\frac{2\pi}{9/5}=2\pi \cdot \frac{5}{9}=\frac{10\pi}{9}[/tex]
What is the slope intercept form here!!!
Answer:
y=x
Step-by-step explanation:
A loaf of bread costs $0.90. Each loaf has 15 slices. How much does each slice of bread cost?
Answer:
Each slice of bread costs $0.06.
Step-by-step explanation:
To find how much each slice of bread costs, you need to divide the cost (0.90) by how many slices there are (15). When you divide the two, you get 0.06. To check your answer you can do 0.06x15 and that will equal $0.90.
Answer:
0.9/15=$0.06 per slice
Also what is this 1910 when did a loaf of bread cost 90 cents????
What is the slope of a line parallel to the line whose equation is
x + 2y = 10. Fully simplify your answer.
Answer:
The required slope is equal to -1/2.
Step-by-step explanation:
The given equation of line is :
x + 2y = 10
A line parallel to this line has the same slope. To determine the slope, solve for y to change the equation to slope-intercept form:
y = mx+b .....(1)
2y = 10 -x
Dividing both sides by 2.
[tex]y=(-\dfrac{1}{2})x+10[/tex] ....(2)
Comparing equations (1) and (2),
m = -1/2
Hence, the required slope is equal to -1/2.
15/x=10/2
Find x please
Answer:
x=3
Step-by-step explanation:
15/x=10/2
Simplifying the right side
15/x = 5
Multiply each side by x
15/x *x = 5x
15 = 5x
Divide each side by 5
15/5 = 5x/5
3 =x
62.4g of sugar is needed to make 8 cakes. How much sugar is needed for 9 cakes?
Answer:
7.8 for 1 cake so add that to your total
Step-by-step explanation:
(Time expired.) The graph shows the system of equations below.
2 x minus 3 y = negative 6. y = negative one-third x minus 4
Which statement is supported by the graph?
A. The blue line represents the equation 2x-3y=6, and the solution to the system of equations is (–6, –2).
B. The blue line represents the equation 2x-3y=6, and the solution to the system of equations is ( –2, –6).
C. The red line represents the equation 2x-3y=6, and the solution to the system of equations is (2, –4).
D. The red line represents the equation 2x-3y=6, and the solution to the system of equations is (–4, 2).
Answer:
A. The blue line represents the equation 2x-3y=6, and the solution to the system of equations is (–6, –2).
Step-by-step explanation:
Here we have the system:
2x - 3y = -6
y = -(1/3)*x - 4
First, remember that if the slope is negative, then the equation is decreasing.
So, for the second equation, as x increases, y decreases, then the line of the second equation is the red one (because the red one decreases).
So the blue one represents the equation 2x - 3y = -6
Also remember that the solution of a system of equations is the point where the graphs of the equations intersect, here we can see that the intersection happens at the point (-6, - 2)
This means that the solution of the system is (-6, - 2)
From this, we can see that the correct option is:
A. The blue line represents the equation 2x-3y=6, and the solution to the system of equations is (–6, –2).
A: The blue line represents the equation 2x-3y=6, and the solution to the system of equations is (–6, –2).
25 POINTS GIVING BRAINLIEST TO WHOEVER ANSWERS UT RIGHT!!A right triangle has hypotenuse with a length of 13 cm. The length of one leg is 5 cm. What is the area of the triangle?
A.65
B.60
C.32.5
D.30
Answer:
Hello! answer: 30
Step-by-step explanation:
13 × 13 = 169
5 × 5 = 25
169 - 25 = 144
12 × 12 = 144 therefore 12 is the missing leg
so we will use this to find the area so...
12 × 5 = 60 60 ÷ 2 = 30 therefore the answer is 30 hope that helps!
Which equation represents the relationship between the x-and y-values shown in the table.
x. y
7. 17
5. 11
3. 5
2. 2
A. y=2x-1
B. y=x + 10
C. y=3x -4
D. y=2x + 1
C. y = 3x - 4
Step-by-step explanation:
Given coordinates:
(2, 2), (3, 5), (5, 11), (7, 17)
The equation of any straight line is
y = mx + c
Where
m = Gradient
c = Constant
Gradient = y2 - y1/x2 - x1
Substitute any two values of y with the respective values of x.
Gradient = 17 - 2/7 - 2
= 15/5
= 3
Substitute the gradient into the general formula.
y = 3x + c
Substitute any value of the coordinate to the equation
2 = 3(2) + c
2 = 6 + c
c = -4
From y = mx + c,
substitute the values of m, the gradient, and c, the constant.
y = (3)x + (-4)
y = 3x - 4
A bag contains 4 yellow, 2 red, and 6 green marbles. two marbles are drawn. the first is replaced before the second is drawn. a random variable assigns the number of red marbles to each outcome. calculate the expected value of the random variable.
a. 0.67
c. 0.17
b. 0.56
d. 0.33
Answer:
c. 0.17
Step-by-step explanation:
The bag have 4 + 2 + 6 = 12 balls.
There are 2 red marbles, in 12, the probability to take one red is 2/12. Is important to remember that the first marble was replaced before the second outcome, so the chance for the second is also 2/12:
2/12 = 1/6 = 0.1666 ≈ 0.17
The expected value of the random variable that assigns the number of red marbles to each outcome is 0.17.
What is the probability?Probability is used to estimate how likely an event would happen. The probability the event occurs with certainty is 1 and the probability that the event does not occur with certainty is 0.
Expected value = number of red marbles / total number of marbles
2/12 = 0.17
To learn more about probability, please check: https://brainly.com/question/13234031
#SPJ2
use the distributive property to simplify the expression 1/5(2a-15b+5/6c)+7b.
Answer:
2/5a + 4b + 1/6c
Step-by-step explanation:
Distribute 1/5 throughout the parentheses (multiply it by each term enclosed in the parentheses) --> this gives you 2/5a -3b + 1/6c + 7bThen you just combine like terms to get your answer. In this case, the only like terms you need to combine are -3b and 7b to get -3bWhich of the following is not equivalent to this expression?
2m + 10m +14+3
A. m +12m +8+9
B. 2m + 10 + 10m +7
C. 6m + 6m - 1 + 18
D. 15m +15 - 3m +2
Answer:
A
Step-by-step explanation:
the given equation can be simplified to 12m+17
so if we simply the other options we see that A = 13m+17
3. If 2x +9 32, then x could be
11.5?
Answer:
Yes
Step-by-step explanation:
We can see step by step how to solve for x, and get 11.5:
2x+9=32
Subtrract the 9 from both sides. You should always try to get the number on one side, and the variable on the other:
2x+9-9=32-9
=
2x=23
In the end, once the number values are on one side, and the variable value on the other, you want you varaible to be 1.
When I mean 1, I mean you want 1x, or just x.
Here we see 2x=23, meaning we need to divide both sides by 2, to get 1x:
2x/2=23/2
=
x=11.5
So x equals 11.5, and you were correct.
Hope this helps!
Which is the best explanation for why − √ 10 is irrational?
Step-by-step explanation:
- square root of 10 is irrational because it is less than zero. - square root of 10 is irrational because it is not a whole number.
Upon prime factorizing 10 i.e. 21 × 51, 2 is in odd power. Therefore, the square root of 10 is irrational.
Help please someone
Answer: step by step explanation
it's just that you have to multiply the number under root and it's any number is square then you can take it out of root.
⚠️❗️⚠️❗️⚠️❗️10 POINTS PLEASE HELP ASAP I NEED THE ANSWER TO THE PROBLEM ANSWERED BELOW ⚠️❗️⚠️❗️⚠️❗️
What is the area❓ No links or troll answers you’ll be reported
Answer:
Step-by-step explanation:
so you have 2 rectangles and you first need to find what the area is for the side opposite 25 which is 9 because the 2 9's are the same as the missing number.
now 16x9=144
and 9x9x9=729
725x25=18225
hope that helps
have a great day/night
19NBoli
Can someone please answer this
Answer:
[tex] {7}^{3} (as \: a \: single \: power \: of \: 7)[/tex]Step-by-step explanation:
Given
[tex] {7}^{4} \div 7[/tex]
Since,
[tex] {a}^{x} \div {a}^{y} = {a}^{x - y} [/tex]
Hence,
[tex] = {7}^{4 - 3} [/tex]
[tex] = {7}^{3} (ans)(as \: a \: single \: power \: of \: 7)[/tex]
7(-6 1/8) or 7 x -6 1/8=?? brainilist
Answer:
Step-by-step explanation:
[tex]7 \times -6\frac{1}{8} = 7 \times \frac{-49}{8} = -\frac{343}{8}[/tex]
Answer:
-343/8 or -42 7/8
Step-by-step explanation:
7(-49/8) = -343/8 or -42 7/8
A car can drive 30 miles in 25 minutes. How many miles could it drive in 75 minutes?
Answer:
90
First, divide: 75/25=3
Last 3x 30= 90
or
30
x 3
--------
90
At the moment a certain medicine is injected, its concentration in the bloodstream is 120 milligrams per liter. From that moment forward, the medicine's concentration drops by 30% percent each hour. Write a function that gives the medicine's concentration in milligrams per liter, C(t), t hours after the medicine was injected. If anyone responds, thank you <3
Answer: [tex]C(t) = 120(1-0.30)^t[/tex]
Step-by-step explanation:
Exponential equation for decay:[tex]y= A(1-r)^t[/tex], where A = initial value, r= decay rate , t= time.
As per given, A = 120ml , r= 0.30
[tex]C(t) = 120(1-0.30)^t[/tex]
Hence, the required function that gives the medicine's concentration in milligrams per liter, C(t), t hours after the medicine was injected.
[tex]C(t) = 120(1-0.30)^t[/tex]
What multiplies to 18 and sums up to negative 19
Answer:
-18 and -1
Step-by-step explanation:
(-18) + (-1) = -19
(-18) × (-1) = 18
A square and rhombus are shown below
Answer:
B
Step-by-step explanation:
All the angles of square are 90° but in Rhombus all angles are not right angle only the angles opposite to each other are equal.
I got this answer from Gauthmath and i think you should try it to.
hope this was the answer you were looking for.
Answer:
B
Step-by-step explanation:
All the angles in a rhombus are not always 90 degrees.
Hope that this helps!
which function represents the sequence? A.f(n) =n+3 B.f(n)=7n-4 C.f(n)=3n+7 D.f(n)=n+7
Answer:
f( n ) = 7 n - 4
Step-by-step explanation:
Terms : 3,10 , 17, 24, 31
Means this = [tex]a_{1}[/tex] = 3
The differences:
d = 10-3=7
our term of the sequence =
f( n ) = 7 n - 4
answer and explain step by step please
Answer:
m∠6 = 110°
Step-by-step explanation:
∠6 and ∠8 are known as corresponding angles meaning they are equal to each other. Since m∠8 = 110°, m∠6 also equals 110°.
Answer:
11o degree
Step-by-step explanation:
angle 6 is 110 degree because the relation between angle 6 and angle 8 is that they are corresponding angles and corresponding angles are always equal.
