What number must you add to complete the square? x^2+28x=11
1 answer:
You might be interested in
Simple....
Which value is a solution of the equation 2 – 8x = –6?(1 point)• 1• –1• 8
You have: 2-8x=-6
plug n chug...
2-8(1)=-6
2-8=-6
-6=-6 (Yes) (<<---Answer)
2-8(-1)=-6
2+8=-6
10=-6 (No)
2-8(8)=-6
2-64=-6
-62=-6 (No)
3. Which ordered pair is a solution of the equation y = x – 4?(1 point)• (2, 6)• (6, 2)• (–2, 6)• (–6, 2)
Plug n chug.....
you have:y=x-4
(2,6)
6=2-4
6=-2 (No)
(6,2)
2=6-4
2=2 (Yes) (<<<---Answer)
(-2,6)
6=-2-4
6=-6 (No)
(-6,2)
2=-6-4
2=-10 (No)
4. Which ordered pair is a solution of the equation y = 4x?(1 point)• (1, 3)• (–1, –4)• (–4, –1)• (1, –4)
You have: y=4x
(1,3)
3=4(1)
3=4 (No)
(-1,-4)
-4=4(-1)
-4=-4 (Yes) (<<<----Answer)
(-4,-1)
-1=4(-4)
-1=-16 (No)
(1,-4)
-4=4(1)
-4=4 (No)
5. Which ordered pair is a solution of the equation y = –9x + 4?(1 point)• (10, –86)• (–4, –58)• (6, –41)• (–6, 57)
You have: y=-9x+4
(10,-86)
-86=-9(10)+4
-86=-90+4
-86=-86 (Yes) (<<<---Answer)
(-4,-58)
-58=-9(-4)+4
-58=36+4
-58=40 (No)
(6,-41)
-41=-9(6)+4
-41=-54+4
-41=-50 (No)
(-6,57)
57=-9(-6)+4
57=54+4
57=58 (No)
6. Mike and his best friend Dan have the same birthday, but Mike is three years older than Dan. Let the variable x represent Mike’s age and y represent Dan’s age. Which graph represents the relationship between Dan’s age and Mike’s age?(1 point)
There is no graph.
7. Solve the following equation.
–4 = g + 1(1 point)• g = –4• g = 4• g = –5• g = –3
You have: -4=g+1
-4=g+1
-1 -1
-5=g (Answer/C)
8. Solve the following equation.
x – 3 = –5(1 point)• x = • x = –2• x = –8• x = 15
You have: x-3=-5
x-3=-5
+3 +3
x=-2 (Answer)
9. Solve the following equation.
2.8 = 2y(1 point)• y = 1.4• y = • y = 2.8• y = 0.6
You have: 2.8=2y
2.8=2y
1.4=y (Answer)
10.
Solve the following equation.
–8 =
(1 point)
• z = –
• z = –5
• z = –24
• z =
11.
Solve the following equation.
–9 =
(1 point)
• n =
• n =
• n =
• n =
NUMBER 10 AND 11..THERE IS NOTHING I CAN WORK WITH,THEREFORE I CAN NOT GIVE AN ANSWER....
12.
Which equation is an identity?
(1 point)
• 11 – (2v + 3) = –2v – 8
• 5w + 8 – w = 6w – 2(w – 4)
• 7m – 2 = 8m + 4 – m
• 8y + 9 = 8y – 3
You have:
11-(2v+3)=-2v-8
11-2v-3=-2v-8
-2v+8=-2v-8 (No)
5w+8-w=6w-2(w-4)
4w+8=6w-2w+8
4w+8=4w+8 (Yes) (<<<<--Answer)
7m-2=8m+4-m
7m-2=7m+4 (No)
8y+9=8y-3 (No)
13.
Which equation has no solution?
(1 point)
• 8 – (5v + 3) = 5v – 5
• 3m – 6 = 5m + 7 – m
• 3w + 4 – w = 5w – 2(w – 2)
• 7y + 9 = 7y – 6
You have:
8-(5v+3)=5v-5
8-5v-3=5v-5
-5v+5=5v-5
+5 +5
-5v+10=5v
+5v +5v
10=10v
1=v
3m-6=5m+7-m
3m-6=4m+7
-3m -3m
-6=m+7
-7 -7
-13=m
3w+4-w=5w-2(w-2)
2w+4=5w-2w+4
2w+4=3w+4
-2w -2w
4=w+4
-4 -4
0=w
7y+9=7y-6
-7y -7y
NO SOLUTION (ANSWER)
Thus, your answer.
Which value is a solution of the equation 2 – 8x = –6?(1 point)• 1• –1• 8
You have: 2-8x=-6
plug n chug...
2-8(1)=-6
2-8=-6
-6=-6 (Yes) (<<---Answer)
2-8(-1)=-6
2+8=-6
10=-6 (No)
2-8(8)=-6
2-64=-6
-62=-6 (No)
3. Which ordered pair is a solution of the equation y = x – 4?(1 point)• (2, 6)• (6, 2)• (–2, 6)• (–6, 2)
Plug n chug.....
you have:y=x-4
(2,6)
6=2-4
6=-2 (No)
(6,2)
2=6-4
2=2 (Yes) (<<<---Answer)
(-2,6)
6=-2-4
6=-6 (No)
(-6,2)
2=-6-4
2=-10 (No)
4. Which ordered pair is a solution of the equation y = 4x?(1 point)• (1, 3)• (–1, –4)• (–4, –1)• (1, –4)
You have: y=4x
(1,3)
3=4(1)
3=4 (No)
(-1,-4)
-4=4(-1)
-4=-4 (Yes) (<<<----Answer)
(-4,-1)
-1=4(-4)
-1=-16 (No)
(1,-4)
-4=4(1)
-4=4 (No)
5. Which ordered pair is a solution of the equation y = –9x + 4?(1 point)• (10, –86)• (–4, –58)• (6, –41)• (–6, 57)
You have: y=-9x+4
(10,-86)
-86=-9(10)+4
-86=-90+4
-86=-86 (Yes) (<<<---Answer)
(-4,-58)
-58=-9(-4)+4
-58=36+4
-58=40 (No)
(6,-41)
-41=-9(6)+4
-41=-54+4
-41=-50 (No)
(-6,57)
57=-9(-6)+4
57=54+4
57=58 (No)
6. Mike and his best friend Dan have the same birthday, but Mike is three years older than Dan. Let the variable x represent Mike’s age and y represent Dan’s age. Which graph represents the relationship between Dan’s age and Mike’s age?(1 point)
There is no graph.
7. Solve the following equation.
–4 = g + 1(1 point)• g = –4• g = 4• g = –5• g = –3
You have: -4=g+1
-4=g+1
-1 -1
-5=g (Answer/C)
8. Solve the following equation.
x – 3 = –5(1 point)• x = • x = –2• x = –8• x = 15
You have: x-3=-5
x-3=-5
+3 +3
x=-2 (Answer)
9. Solve the following equation.
2.8 = 2y(1 point)• y = 1.4• y = • y = 2.8• y = 0.6
You have: 2.8=2y
2.8=2y
1.4=y (Answer)
10.
Solve the following equation.
–8 =
(1 point)
• z = –
• z = –5
• z = –24
• z =
11.
Solve the following equation.
–9 =
(1 point)
• n =
• n =
• n =
• n =
NUMBER 10 AND 11..THERE IS NOTHING I CAN WORK WITH,THEREFORE I CAN NOT GIVE AN ANSWER....
12.
Which equation is an identity?
(1 point)
• 11 – (2v + 3) = –2v – 8
• 5w + 8 – w = 6w – 2(w – 4)
• 7m – 2 = 8m + 4 – m
• 8y + 9 = 8y – 3
You have:
11-(2v+3)=-2v-8
11-2v-3=-2v-8
-2v+8=-2v-8 (No)
5w+8-w=6w-2(w-4)
4w+8=6w-2w+8
4w+8=4w+8 (Yes) (<<<<--Answer)
7m-2=8m+4-m
7m-2=7m+4 (No)
8y+9=8y-3 (No)
13.
Which equation has no solution?
(1 point)
• 8 – (5v + 3) = 5v – 5
• 3m – 6 = 5m + 7 – m
• 3w + 4 – w = 5w – 2(w – 2)
• 7y + 9 = 7y – 6
You have:
8-(5v+3)=5v-5
8-5v-3=5v-5
-5v+5=5v-5
+5 +5
-5v+10=5v
+5v +5v
10=10v
1=v
3m-6=5m+7-m
3m-6=4m+7
-3m -3m
-6=m+7
-7 -7
-13=m
3w+4-w=5w-2(w-2)
2w+4=5w-2w+4
2w+4=3w+4
-2w -2w
4=w+4
-4 -4
0=w
7y+9=7y-6
-7y -7y
NO SOLUTION (ANSWER)
Thus, your answer.
Answer:
one solution is (0, -2)
Step-by-step explanation:
The line y = -x is the boundary of the solution space of the first inequality. The less-than symbol (<) tells you that the line will be dashed and the shading will be below it. The line has a slope of -1 and goes through the y-intercept point (0, 0).
The line y = x - 2 is the boundary of the solution space for the second inequality. The less-than-or-equal-to symbol (≤) tells you the line will be solid (or equal to) and the shading will be below it (less than). The line has a slope of +1 and goes through the y-intercept point (0, -2).
The area of the graph where the shadings overlap is the solution space for the system of inequalities. Any point in that area will do, including points on the solid line where y < -x. (0, -2) is one such point.
