Answer:
Let's apply the quadratic formula:
⇒
x
=
−
4
±
√
4
2
−
4
(
2
)
(
−
30
)
2
(
2
)
⇒
x
=
−
4
±
√
16
+
240
4
⇒
x
=
−
4
±
√
256
4
⇒
x
=
−
4
±
16
4
⇒
x
=
−
1
±
4
⇒
x
=
−
5
,
3
Therefore, the solutions to the equation are
x
=
−
5
and
x
=
3
.
.
Step-by-step explanation:
Explanation:
All the terms in the equation are even, so we can divide by 2 immediately to make the numbers smaller.
2
x
2
+
4
x
−
30
=
0
x
2
+
2
x
−
15
=
0
Try to factor before we use loner methods of the quadratic formula or completing the square.
Find factors of 15 which subtract (because of -15) to give 2.
The signs will be different (because of -15), there must be more positives. (because of +2)
5 and 3 will work!
5
×
3
=
15
and
5
−
3
=
2
(
x
+
5
)
(
x
−
3
)
=
0
Putting each factor equal to 0 gives the solutions:
x
=
−
5
or
x
=
3
Answer:
(x+3)(x-5)
Step-by-step explanation:
2x²-4x-30 = 0
devide by 2
; x²-2x-15 = 0
(x+3)(x-5) = 0
A sheet of cardboard is 1.6 m by 0.8 m. The following shapes are cut from the cardboard: ● a circular piece with radius 12 cm ● a rectangular piece 20 cm by 15 cm ● 2 triangular pieces with base 30 cm and height 10 cm. What is the area of the remaining piece of cardboard in m²? (Consider π = 22/7)
Answer:
1.17m²
Step-by-step explanation:
Total area of cardboard=
[tex]1.6 \times 0.8 = 1.28m {}^{2} [/tex]
Area of circular piece=
[tex]\pi \: r {}^{2} = ( \frac{22}{7} )(0.12) {}^{2} = \frac{198}{4375} m {}^{2} [/tex]
Area of rectangular piece=
[tex]0.2 \times 0.15 = 0.03m {}^{2} [/tex]
Area of 2 triangular pieces=
[tex]2( \frac{1}{2} \times 0.3 \times 0.1) = 0.03m {}^{2} [/tex]
Remaining area of the cardboard= Total area of cardboard - circular piece - 2 triangular pieces
[tex]1.28 - \frac{198}{4375} - 0.03 -0.03 = \frac{21083}{17500} =1.17m {}^{2} [/tex]
Find the inequality represented by the graph.
Answer:
y ≤ -1/3x + 1
Step-by-step explanation:
find the slope and y-intercept and write equation in form of
y = mx + b; m = slope and b = y-intercept
if you start at (0,1) and move down and to the right to (3,0) you get a slope equal to -1/3
we can see by looking at the graph that the y-intercept is 1
therefore, y ≤ -1/3x + 1
Please Can you subtract the given problem from scientific notation to notation. Step by step please
Answer:
367(3.67*100)-16(1.6*10)=351
Hope This Helps!!!
[tex]\\ \sf\longmapsto 3.67\times 10^2-1.6\times 10^1[/tex]
[tex]\\ \sf\longmapsto 3.67(100)-1.6(10)[/tex]
[tex]\\ \sf\longmapsto 367-16[/tex]
[tex]\\ \sf\longmapsto 351[/tex]
GCF and LCM: word problems. Kiara is printing orange and green forms. She notices that 6 orange forms fit on a page, and 2 green forms fit on a page. If Kiara wants to print the exact same number of orange and green forms, what is the minimum number of each form that she could print? no links pls
Answer:
6
Step-by-step explanation:
The LCM of 6 and 2 is 6.
PLS HELP ASAP. QUESTION IN PICTURE
Answer: 50 degrees
Step-by-step explanation:
This is actually quite simple using the exterior angle theory
"The exterior angle theorem states that the measure of an exterior angle is equal to the sum of the measures of the two remote interior angles of the triangle"
In this case the exterior angle is 120 degrees, basically what the theorem states is that it the angle that you see outside the triangle equals the angle measurements of the 2 angles opposite of it, so just create an equation because you know 2 of the variables
120=70+x
120-70=x
Angle x = 50 degrees
h(x) = 2x2 + x + -3
Find h(2)
Please help, I don’t understand this and I did this from a while ago but I’m still confused on how to do it now.
Answer:
A.) -3p +8
b.) (10/p) -3
3.)
a.) -3(5)+8= -7
b.) (10/5)-3= -1
Step-by-step explanation:
For A and B you just have to read it over and over until you understand what is happening. A tip is when it says "fewer than" then that number usually goes after the second part of the statement.
For 3 it is asking you to plug 5 in for the value of p and solve.
Hope this helps:) Have a good day!
50 POINTS PLEASE HELPP
For which of the following inequalities, is 4
part of the solution set? Select all that
apply.
I A. x > -5
I B. 2 > x
C. 3x + 4 >-8
O D. 5x < 2x - 3
E. -6 < 4 - 2x
Answer:
a
Step-by-step explanation:
Answer:
A, C, and E
Step-by-step explanation:
Replace the x with 4 and do the math
Find the solution of this system of equations
-6x + 3y = -39
-6x - 3y = -21
Enter the correct answer.
DONE
OOO
Clear all
+?
Answer:
Undefined.
Step-by-step explanation:
If you try to cancel x or y, you'll cancel both, and won't be able to find the values of any of those variables.
help me on these questions pls
Answer: Beau and Kai are the similar triangles. If you add 55 and 61 degrees you come up to 116. Since their are 180 degrees in a triangle, you know that the other angle needs to be 64 degrees. On Kai's the 55 and 64 degrees come up to 119 degrees leaving 61 degrees for the unknown angle. Each has an angle with 55 degrees, 64 degrees, and 61 degrees
Step-by-step explanation:
Solve the inequality
4x - 19 ≥ -27
Answer:
x ≥ -2
Step-by-step explanation:
Hope this helps!
Ayudaaa necesito resolver 2 ejercicios
A) √x+2=x
B) 3+√2x-6=x
Answer:
A) x=4
B)x=[tex]\sqrt{2}[/tex]+3 or 7.24
Step-by-step explanation:
what is the rectangular cross hatch chart used for eye test called
Pls help if correct ill mark brainliest. fill in the blanks with the correct term :p
Answer:
11. attends
12. attend
What is 98,765 - 9,876?
Answer:
88889
Step-by-step explanation:
This is because you do stacked subtraction to get final answer
Answer:
88,889
Step-by-step explanation:
98,765 - 9,876 = 88,889
I need a answer as soon as possible
Answer:
67
Step-by-step explanation:
Because 180-113 is 67.
Answer:
67°
Step-by-step explanation:
A line is 180° so subtract the 113°
180 - 113 = 67°
hope that helps and have a great day :D
If a truck leaves on Friday traveling 55 mph and is able to travel 10 hours per day, how many miles will it have driven after Monday?
PT. 4 OF MY HW! STILL UNIT RATE
Answer: plant 1 grows at a faster rate
Step-by-step explanation:
PLZ HELP! 50 PTS PER PERSON
11 less than 3 times a number is the same as 75 less than the product of -1 and the number.
Answer:
No solution
Step-by-step explanation:
Create an equation with the values given. Solve like an algebraic question.
11 > 3*x = 75> -1*x
3*x and -1*x should lead to a value greater than 11.
Since there is no value that can be multiplied by a negative and be a positive, besides negative numbers, in which the term of 11>3*x wouldn't be positive, this would have no solution.
No solution.
original price: $24.50
discount:30%
tax:2%
Answer -
Discount -
24.50 x 30/100
24.5 x 0.3 = 7.35 saved
24.5 - 7.35 = 17.15
Discount you saved $7.35 , which brings you price 17.15
tax -
17.15 + 0.34 = 17.49
With taxes you pay 17.49
HOPE THIS HELPS :)
Victoria is 30 years old. She has $700 in a checking account, $9000 in a savings account $16,000 in a retirement account, and owns a car worth $6000. What is the total value of her liquid assets?
A. $31,700
B. $9700
C. $15,700
D. $16,000
Answer:
B
Step-by-step explanation:
Please mark as brainliest
1. If the spinner below is spun once, find the
probability of a number less than 10
Answer:
5% chance
Step-by-step explanation:
what is twenty-five hundred-thousandths in decimal form
Answer:
5.620
Step-by-step explanation:
I hope this helps you
Answer:
0.00025
Step-by-step explanation:
Here is a example
In the equation = + , what does b represent?
Answer:
Although the equation is incomplete (b doesn't appear), I'll venture a guess that the correct equation looks something like this:
y = 2x + b [or y = mx+b]
b is the y-intercept.
Step-by-step explanation:
In the format of y = 2x + b, b represents the y-intercept (the value of y when x = 0).
I need reassurance that my answer is right. Is this a rotation? :')
Answer:
Yes, it is a rotation!
Step-by-step explanation:
You know this because the shape rotated. It did not flip, change size, or remain the same.
I hope this helps!
what is 18 1/5 -7 3/5 as a mixed number in simplest form
Answer:
53/5
Step-by-step explanation:
I hope this helps u.
Mark me as brainliest.
Question 1 (1 point)
When a transversal passes through two lines and the corresponding angles are
congruent, then the lines are parallel.
True
False
Answer:
True
Step-by-step explanation:
If corresponding angles are congruent, the lines are parallel
The area of the triangle below is 14.96 square inches.
What is the length of the base?
Answer:
base = 6.8 in
Step-by-step explanation:
area of triangle = 1/2 base height
where height = 4.4 in
area = 14.96 in²
plugin values into the formula
14.96 = 1/2 base (4.4)
base = 14.96 (2)
4.4
base = 6.8 in
the mean of this data set: (5, 8, 1, 7, 4, 3, 2, 2)= 5
Step-by-step explanation:
4
Add all to get 32
Divide by the number of items which is 8
answer =4
Answer: No, the mean of the data set is 4
(5+ 8+ 1+ 7+ 4+ 3+ 2+ 2)/8
= 32/8
=4
Graph a line with a slope of -3/4 that contains the point (2,3).
Answer:
The graph will be on the bottom:
Step-by-step explanation:
First find the slope intercept form:
y=mx+b
m is slope
b is y-intercept
since we already have slope we can replace that with m
y=-3/4x+b
Now substitute x and y with 2 and 3
3=-3/4 (2)+b
3=-3/2+b
Add on both sides:
9/2=b
Thus the Slope-intercept form is
y=-3/4x+9/2
Hope this helps!